[ { "q": "Five letters picked without replacement from jrrrjrlrrrjrrjlj. What is prob of picking 5 r?", "a": "3/104" }, { "q": "Five letters picked without replacement from {b: 3, w: 1, q: 2, k: 6}. Give prob of picking 2 k, 1 b, and 2 q.", "a": "5/88" }, { "q": "What is prob of picking 1 n and 4 m when five letters picked without replacement from {m: 6, n: 1}?", "a": "5/7" }, { "q": "Calculate prob of picking 4 d and 1 w when five letters picked without replacement from eedddwffddfe.", "a": "5/792" }, { "q": "Five letters picked without replacement from ciiffcicfkkcicii. What is prob of picking 3 i and 2 c?", "a": "25/546" }, { "q": "Calculate prob of picking 1 p, 1 i, 1 v, and 2 n when five letters picked without replacement from {p: 7, v: 5, n: 5, i: 2}.", "a": "175/2907" }, { "q": "Five letters picked without replacement from {m: 4, c: 3, v: 13}. Give prob of picking 3 v and 2 m.", "a": "143/1292" }, { "q": "Five letters picked without replacement from kkzlzeyyzemkk. What is prob of picking 2 k, 1 z, and 2 e?", "a": "2/143" }, { "q": "What is prob of picking 1 f, 1 k, 1 v, and 2 i when five letters picked without replacement from {i: 3, k: 3, f: 3, x: 3, v: 2, p: 2}?", "a": "9/728" }, { "q": "Calculate prob of picking 2 y and 3 z when five letters picked without replacement from yyyyzzzyzzzzzzzzyz.", "a": "275/714" }, { "q": "Five letters picked without replacement from etttttt. Give prob of picking 4 t and 1 e.", "a": "5/7" }, { "q": "Calculate prob of picking 1 x, 3 c, and 1 l when five letters picked without replacement from {l: 4, x: 1, i: 3, c: 9, p: 2}.", "a": "28/969" }, { "q": "Five letters picked without replacement from {u: 4, x: 6, n: 5}. Give prob of picking 3 n and 2 x.", "a": "50/1001" }, { "q": "Calculate prob of picking 1 e and 4 i when five letters picked without replacement from {e: 2, z: 1, o: 6, i: 4, l: 4}.", "a": "1/3094" }, { "q": "Five letters picked without replacement from {z: 1, v: 8, r: 1, b: 1, j: 1, e: 2}. Give prob of picking 1 e, 3 v, and 1 j.", "a": "8/143" }, { "q": "Calculate prob of picking 1 b, 3 o, and 1 t when five letters picked without replacement from btbtbo.", "a": "0" }, { "q": "What is prob of picking 1 l and 4 h when five letters picked without replacement from {x: 4, o: 1, h: 5, l: 5, z: 4}?", "a": "25/11628" }, { "q": "Calculate prob of picking 1 m, 1 k, 1 i, and 2 a when five letters picked without replacement from xiiakikmiakmakkaiax.", "a": "125/2907" }, { "q": "Five letters picked without replacement from {u: 3, h: 3, l: 2, n: 2}. What is prob of picking 2 l and 3 h?", "a": "1/252" }, { "q": "Calculate prob of picking 1 m, 2 h, 1 f, and 1 q when five letters picked without replacement from mgmfhmqhzfmfmmgfmz.", "a": "1/306" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from {y: 4, e: 5, u: 2, k: 9}.", "a": "21/2584" }, { "q": "Five letters picked without replacement from sysxssyy. What is prob of picking 2 y, 1 x, and 2 s?", "a": "9/28" }, { "q": "Calculate prob of picking 4 z and 1 x when five letters picked without replacement from zxzzzzzxzz.", "a": "5/9" }, { "q": "What is prob of picking 3 g, 1 h, and 1 v when five letters picked without replacement from {h: 1, v: 1, k: 1, g: 1, q: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from ccccpcpcccnppcppc. Give prob of picking 1 c, 1 n, and 3 p.", "a": "50/1547" }, { "q": "Five letters picked without replacement from {k: 7, o: 9, i: 3}. What is prob of picking 2 o and 3 i?", "a": "1/323" }, { "q": "Five letters picked without replacement from hddovduuovddhuduhodu. What is prob of picking 5 u?", "a": "1/15504" }, { "q": "Five letters picked without replacement from {n: 1, k: 1, j: 1, g: 1, b: 1}. What is prob of picking 4 k and 1 g?", "a": "0" }, { "q": "Five letters picked without replacement from {i: 8, r: 8, n: 2}. Give prob of picking 3 i and 2 n.", "a": "1/153" }, { "q": "Five letters picked without replacement from {t: 3, o: 6, q: 4}. What is prob of picking 4 q and 1 t?", "a": "1/429" }, { "q": "Five letters picked without replacement from btbethsbthtv. Give prob of picking 3 t, 1 s, and 1 v.", "a": "1/198" }, { "q": "What is prob of picking 1 i and 4 v when five letters picked without replacement from {v: 9, j: 2, i: 2, s: 4, g: 2}?", "a": "7/323" }, { "q": "Five letters picked without replacement from bbfembbfnfe. Give prob of picking 3 f, 1 b, and 1 m.", "a": "2/231" }, { "q": "Five letters picked without replacement from ixiixixxxix. Give prob of picking 1 i and 4 x.", "a": "25/154" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from weiwwiwiiiiiwi.", "a": "4/143" }, { "q": "What is prob of picking 1 f and 4 x when five letters picked without replacement from fffffxffx?", "a": "0" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from {z: 6, x: 11}?", "a": "33/442" }, { "q": "Calculate prob of picking 2 p and 3 w when five letters picked without replacement from pwpppppppwpwwppwpp.", "a": "65/714" }, { "q": "Five letters picked without replacement from {h: 2, x: 4, p: 4}. Give prob of picking 1 p, 3 x, and 1 h.", "a": "8/63" }, { "q": "Calculate prob of picking 4 n and 1 u when five letters picked without replacement from {u: 2, n: 6}.", "a": "15/28" }, { "q": "Five letters picked without replacement from {b: 1, f: 14}. Give prob of picking 5 f.", "a": "2/3" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from lomllmllmmolml?", "a": "1/2002" }, { "q": "Calculate prob of picking 4 j and 1 h when five letters picked without replacement from {h: 1, c: 1, p: 5, q: 3, j: 4}.", "a": "1/2002" }, { "q": "Five letters picked without replacement from veeeeeeebbvevvhbbbe. Give prob of picking 3 v, 1 b, and 1 h.", "a": "5/2907" }, { "q": "Five letters picked without replacement from {l: 4, i: 5, p: 2, o: 1}. What is prob of picking 2 l and 3 i?", "a": "5/66" }, { "q": "Five letters picked without replacement from {h: 15, p: 4}. What is prob of picking 2 p and 3 h?", "a": "455/1938" }, { "q": "Calculate prob of picking 1 m, 3 h, and 1 s when five letters picked without replacement from {k: 5, s: 3, m: 4, h: 6}.", "a": "10/357" }, { "q": "Five letters picked without replacement from {e: 8, p: 1}. What is prob of picking 5 e?", "a": "4/9" }, { "q": "Calculate prob of picking 3 s, 1 p, and 1 t when five letters picked without replacement from sapaaasasaaastp.", "a": "8/3003" }, { "q": "Five letters picked without replacement from {d: 7, j: 8}. Give prob of picking 5 j.", "a": "8/429" }, { "q": "Calculate prob of picking 2 y, 1 n, and 2 i when five letters picked without replacement from {y: 2, i: 2, n: 12}.", "a": "1/364" }, { "q": "Five letters picked without replacement from ssbllotol. What is prob of picking 2 o, 1 s, 1 b, and 1 l?", "a": "1/21" }, { "q": "Five letters picked without replacement from oooogrgoppppopo. Give prob of picking 5 o.", "a": "1/143" }, { "q": "Calculate prob of picking 2 i and 3 c when five letters picked without replacement from ciccciii.", "a": "3/7" }, { "q": "Calculate prob of picking 4 s and 1 k when five letters picked without replacement from skssssssssssksksss.", "a": "65/136" }, { "q": "Five letters picked without replacement from {e: 13, n: 6}. Give prob of picking 3 e and 2 n.", "a": "715/1938" }, { "q": "What is prob of picking 3 e, 1 g, and 1 l when five letters picked without replacement from {j: 3, l: 3, a: 2, q: 1, e: 3, g: 1}?", "a": "1/429" }, { "q": "Five letters picked without replacement from {w: 12, k: 5}. Give prob of picking 3 k and 2 w.", "a": "165/1547" }, { "q": "Five letters picked without replacement from {i: 6, u: 2, o: 9}. What is prob of picking 2 u and 3 o?", "a": "3/221" }, { "q": "What is prob of picking 1 a, 1 m, 1 k, and 2 z when five letters picked without replacement from {u: 1, m: 1, z: 2, k: 2, a: 3, b: 2}?", "a": "1/77" }, { "q": "Five letters picked without replacement from ruhhhhhhhpuh. Give prob of picking 3 h and 2 u.", "a": "7/99" }, { "q": "What is prob of picking 1 q and 4 t when five letters picked without replacement from {q: 2, o: 3, t: 4, y: 10}?", "a": "1/5814" }, { "q": "What is prob of picking 1 c, 1 w, 1 d, and 2 e when five letters picked without replacement from ecdweycec?", "a": "1/14" }, { "q": "Five letters picked without replacement from thkhkhhhhhhkhhhhkhhh. What is prob of picking 4 k and 1 h?", "a": "5/5168" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from dtddchcttdhttcdcdd?", "a": "1/408" }, { "q": "Five letters picked without replacement from jjjjjjjjjjjjjjjjjn. What is prob of picking 4 j and 1 n?", "a": "5/18" }, { "q": "Calculate prob of picking 1 y, 1 c, 2 t, and 1 x when five letters picked without replacement from {y: 5, x: 2, t: 4, c: 6}.", "a": "90/1547" }, { "q": "Calculate prob of picking 2 y and 3 g when five letters picked without replacement from ffyfyfyguygyu.", "a": "0" }, { "q": "What is prob of picking 4 v and 1 p when five letters picked without replacement from {v: 4, p: 2}?", "a": "1/3" }, { "q": "Five letters picked without replacement from {l: 1, q: 3, v: 2, i: 1}. What is prob of picking 2 i, 2 v, and 1 l?", "a": "0" }, { "q": "Five letters picked without replacement from gjjggjjjujjjjjjg. Give prob of picking 4 g and 1 j.", "a": "11/4368" }, { "q": "Calculate prob of picking 4 t and 1 i when five letters picked without replacement from {i: 3, o: 1, b: 6, t: 6}.", "a": "15/1456" }, { "q": "What is prob of picking 2 v and 3 g when five letters picked without replacement from {g: 10, v: 8}?", "a": "20/51" }, { "q": "What is prob of picking 1 r, 1 n, and 3 f when five letters picked without replacement from ffrfffffrnfnfff?", "a": "20/91" }, { "q": "Five letters picked without replacement from {b: 7, p: 4, q: 2, w: 3}. What is prob of picking 2 p and 3 b?", "a": "5/104" }, { "q": "Five letters picked without replacement from eajeajwwjjwxjeajjfe. Give prob of picking 1 x, 1 j, 1 e, and 2 a.", "a": "7/969" }, { "q": "Calculate prob of picking 1 w, 1 x, and 3 h when five letters picked without replacement from {r: 1, h: 3, x: 1, z: 3, w: 8}.", "a": "1/546" }, { "q": "Calculate prob of picking 1 y and 4 q when five letters picked without replacement from yyqqqyqqyyyq.", "a": "5/44" }, { "q": "Five letters picked without replacement from {t: 1, d: 1, u: 5, k: 4}. What is prob of picking 3 u, 1 t, and 1 k?", "a": "20/231" }, { "q": "Five letters picked without replacement from {i: 4, k: 2, o: 2, r: 2, n: 1}. What is prob of picking 2 k, 2 r, and 1 i?", "a": "2/231" }, { "q": "Five letters picked without replacement from {m: 3, q: 4, w: 3}. What is prob of picking 3 w and 2 m?", "a": "1/84" }, { "q": "Five letters picked without replacement from wawaowaaoaa. Give prob of picking 3 a, 1 w, and 1 o.", "a": "20/77" }, { "q": "Five letters picked without replacement from {h: 2, n: 1, a: 2, b: 6, v: 2}. What is prob of picking 4 b and 1 v?", "a": "10/429" }, { "q": "Five letters picked without replacement from {f: 9, v: 4}. Give prob of picking 1 v and 4 f.", "a": "56/143" }, { "q": "Five letters picked without replacement from {n: 1, m: 1, j: 1, o: 2, l: 2, q: 1}. Give prob of picking 2 m, 2 j, and 1 n.", "a": "0" }, { "q": "Five letters picked without replacement from {p: 1, e: 1, m: 2, h: 4, y: 4, d: 3}. What is prob of picking 1 e and 4 d?", "a": "0" }, { "q": "What is prob of picking 3 b and 2 k when five letters picked without replacement from bkkkbbc?", "a": "1/7" }, { "q": "Five letters picked without replacement from ehweici. Give prob of picking 2 e, 1 c, and 2 i.", "a": "1/21" }, { "q": "Five letters picked without replacement from ebbkbbbeekeebb. What is prob of picking 3 b and 2 k?", "a": "5/286" }, { "q": "What is prob of picking 3 e, 1 l, and 1 i when five letters picked without replacement from {i: 1, l: 9, m: 1, c: 1, s: 2, e: 6}?", "a": "15/1292" }, { "q": "What is prob of picking 3 q and 2 t when five letters picked without replacement from {q: 7, g: 3, t: 4}?", "a": "15/143" }, { "q": "What is prob of picking 3 d and 2 f when five letters picked without replacement from ddswdfwwdwdsddwf?", "a": "5/624" }, { "q": "Five letters picked without replacement from {f: 9, q: 9, w: 2}. What is prob of picking 1 f and 4 q?", "a": "189/2584" }, { "q": "Five letters picked without replacement from yyiyyyyyiyiiiyyy. What is prob of picking 5 y?", "a": "11/104" }, { "q": "Five letters picked without replacement from daddiagngiidigi. What is prob of picking 1 n, 3 g, and 1 a?", "a": "2/3003" }, { "q": "Five letters picked without replacement from {r: 6, q: 3, w: 1, a: 3}. What is prob of picking 1 a, 2 q, 1 r, and 1 w?", "a": "6/143" }, { "q": "Five letters picked without replacement from rbbsebibbgbbsgir. Give prob of picking 2 s, 1 b, 1 r, and 1 g.", "a": "1/156" }, { "q": "Five letters picked without replacement from {z: 3, h: 14}. What is prob of picking 5 h?", "a": "11/34" }, { "q": "Calculate prob of picking 2 q, 1 e, and 2 l when five letters picked without replacement from eeeeleeqlle.", "a": "0" }, { "q": "Five letters picked without replacement from {b: 1, m: 5, l: 3, g: 3, c: 2, f: 2}. What is prob of picking 2 f, 2 l, and 1 b?", "a": "1/1456" }, { "q": "What is prob of picking 1 t, 2 q, and 2 s when five letters picked without replacement from {s: 8, q: 6, t: 1, p: 1}?", "a": "5/52" }, { "q": "Five letters picked without replacement from ooouuoouuomommrmmmo. Give prob of picking 2 u and 3 o.", "a": "28/969" }, { "q": "What is prob of picking 1 w, 2 g, and 2 z when five letters picked without replacement from zzdggzzzzzzzwdzgggd?", "a": "25/646" }, { "q": "Calculate prob of picking 1 a and 4 z when five letters picked without replacement from {x: 2, i: 6, a: 3, j: 2, z: 6}.", "a": "5/1292" }, { "q": "Five letters picked without replacement from {m: 3, a: 12}. Give prob of picking 5 a.", "a": "24/91" }, { "q": "What is prob of picking 2 u and 3 h when five letters picked without replacement from {u: 5, i: 7, h: 4}?", "a": "5/546" }, { "q": "Five letters picked without replacement from bggbuubbbbgbbbbbgb. What is prob of picking 1 u, 2 g, and 2 b?", "a": "11/119" }, { "q": "What is prob of picking 3 g and 2 k when five letters picked without replacement from {k: 2, g: 7}?", "a": "5/18" }, { "q": "What is prob of picking 1 d and 4 a when five letters picked without replacement from {a: 1, d: 1, o: 7}?", "a": "0" }, { "q": "Calculate prob of picking 1 a, 2 v, and 2 i when five letters picked without replacement from {a: 3, i: 3, v: 4, d: 1}.", "a": "9/77" }, { "q": "Calculate prob of picking 4 v and 1 o when five letters picked without replacement from {o: 8, v: 4}.", "a": "1/99" }, { "q": "Five letters picked without replacement from vpppoccctppoozoozzot. Give prob of picking 1 v, 1 z, 2 c, and 1 o.", "a": "9/2584" }, { "q": "Five letters picked without replacement from bbbfbnl. Give prob of picking 4 b and 1 f.", "a": "1/21" }, { "q": "What is prob of picking 4 i and 1 r when five letters picked without replacement from riiiiiriiiiiiii?", "a": "10/21" }, { "q": "Calculate prob of picking 4 v and 1 j when five letters picked without replacement from {v: 4, j: 8, a: 2}.", "a": "4/1001" }, { "q": "What is prob of picking 1 v and 4 n when five letters picked without replacement from {j: 1, n: 5, v: 12}?", "a": "5/714" }, { "q": "Calculate prob of picking 2 b, 2 p, and 1 q when five letters picked without replacement from {q: 1, b: 3, p: 2}.", "a": "1/2" }, { "q": "Five letters picked without replacement from {k: 3, g: 1, i: 6, r: 2}. Give prob of picking 2 i, 1 r, and 2 k.", "a": "5/44" }, { "q": "Calculate prob of picking 1 y, 2 l, 1 z, and 1 n when five letters picked without replacement from tylnllulllz.", "a": "5/154" }, { "q": "Calculate prob of picking 3 p and 2 o when five letters picked without replacement from {o: 2, p: 9, m: 1, s: 1, h: 2, a: 4}.", "a": "7/969" }, { "q": "Calculate prob of picking 3 y, 1 w, and 1 k when five letters picked without replacement from tkkktyttwtybktykttty.", "a": "5/3876" }, { "q": "Calculate prob of picking 4 r and 1 f when five letters picked without replacement from {r: 2, q: 5, f: 8}.", "a": "0" }, { "q": "Five letters picked without replacement from {w: 2, l: 7}. What is prob of picking 3 l and 2 w?", "a": "5/18" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from hhhhhhhhhh?", "a": "1" }, { "q": "What is prob of picking 1 t, 1 g, 1 z, 1 s, and 1 l when five letters picked without replacement from llltsuguzslzgtll?", "a": "2/91" }, { "q": "Five letters picked without replacement from {f: 3, w: 7}. What is prob of picking 3 w and 2 f?", "a": "5/12" }, { "q": "What is prob of picking 1 j, 1 n, 1 a, and 2 o when five letters picked without replacement from {j: 7, n: 2, o: 8, a: 3}?", "a": "49/646" }, { "q": "Five letters picked without replacement from {m: 2, s: 6, r: 3}. What is prob of picking 3 r and 2 m?", "a": "1/462" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from ppirrpjrjrr.", "a": "1/462" }, { "q": "What is prob of picking 3 h and 2 t when five letters picked without replacement from {h: 6, t: 4}?", "a": "10/21" }, { "q": "Five letters picked without replacement from ddffqrqnqccrn. What is prob of picking 1 n, 2 q, 1 r, and 1 f?", "a": "8/429" }, { "q": "Five letters picked without replacement from {k: 5, x: 4}. What is prob of picking 3 x and 2 k?", "a": "20/63" }, { "q": "Calculate prob of picking 1 z, 2 v, 1 s, and 1 u when five letters picked without replacement from zzzuuvovssvz.", "a": "2/33" }, { "q": "Five letters picked without replacement from {f: 4, r: 2}. What is prob of picking 4 f and 1 r?", "a": "1/3" }, { "q": "What is prob of picking 1 w, 3 n, and 1 p when five letters picked without replacement from qqnanapanapqaqw?", "a": "2/3003" }, { "q": "Five letters picked without replacement from {x: 5, c: 1, r: 7}. Give prob of picking 5 x.", "a": "1/1287" }, { "q": "Five letters picked without replacement from kookookoookokkkkokk. Give prob of picking 1 o and 4 k.", "a": "105/646" }, { "q": "Calculate prob of picking 3 c and 2 e when five letters picked without replacement from eeecceec.", "a": "5/28" }, { "q": "Five letters picked without replacement from {q: 2, r: 4, x: 3, m: 10}. Give prob of picking 1 x, 2 q, and 2 r.", "a": "1/646" }, { "q": "What is prob of picking 2 t and 3 z when five letters picked without replacement from {z: 3, t: 13}?", "a": "1/56" }, { "q": "Five letters picked without replacement from {m: 8, s: 5, l: 2}. Give prob of picking 4 s and 1 m.", "a": "40/3003" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {l: 7, r: 2, m: 5}.", "a": "1/2002" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {w: 1, m: 5, z: 1}.", "a": "1/21" }, { "q": "Five letters picked without replacement from hpephpnsns. Give prob of picking 2 p, 2 s, and 1 n.", "a": "1/42" }, { "q": "What is prob of picking 2 p, 1 q, and 2 a when five letters picked without replacement from {y: 8, x: 2, a: 2, p: 5, q: 3}?", "a": "5/2584" }, { "q": "What is prob of picking 1 d, 3 h, and 1 p when five letters picked without replacement from drpphrdrpprrhdhhrhhr?", "a": "5/323" }, { "q": "Calculate prob of picking 2 a and 3 j when five letters picked without replacement from aaaajajjjaajajajja.", "a": "5/17" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from wwwawwwawwwwwwwaaaww.", "a": "1001/5168" }, { "q": "Five letters picked without replacement from {x: 2, f: 1, g: 10, w: 6}. Give prob of picking 1 g, 1 w, and 3 x.", "a": "0" }, { "q": "Five letters picked without replacement from hnhnncchngwbnhnwcn. Give prob of picking 4 h and 1 c.", "a": "1/2856" }, { "q": "Five letters picked without replacement from xfxxxxxxfxxxxxxffxxx. Give prob of picking 2 f and 3 x.", "a": "70/323" }, { "q": "Five letters picked without replacement from {k: 9, s: 6}. Give prob of picking 2 k and 3 s.", "a": "240/1001" }, { "q": "Calculate prob of picking 1 g and 4 x when five letters picked without replacement from xxgxoootooogxox.", "a": "10/3003" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {v: 4, q: 3, g: 8}?", "a": "8/429" }, { "q": "Calculate prob of picking 1 o, 3 w, and 1 k when five letters picked without replacement from {y: 6, a: 3, w: 3, k: 1, o: 2}.", "a": "2/3003" }, { "q": "Calculate prob of picking 1 r and 4 a when five letters picked without replacement from ararrarrary.", "a": "1/77" }, { "q": "Five letters picked without replacement from {p: 1, l: 1, d: 1, o: 1, f: 3, j: 1}. Give prob of picking 1 l, 1 d, 1 p, and 2 f.", "a": "3/56" }, { "q": "Five letters picked without replacement from jajjaaajjj. Give prob of picking 4 a and 1 j.", "a": "1/42" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from {o: 2, w: 5, h: 12}?", "a": "1/11628" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from dadadadadaa.", "a": "1/462" }, { "q": "Five letters picked without replacement from hqqjcqcjcqjcj. What is prob of picking 3 j and 2 q?", "a": "8/429" }, { "q": "What is prob of picking 3 g and 2 c when five letters picked without replacement from cggccccg?", "a": "5/28" }, { "q": "Calculate prob of picking 1 a, 2 k, and 2 q when five letters picked without replacement from kqqkqaqqqqkqqqqaqq.", "a": "13/238" }, { "q": "Five letters picked without replacement from {u: 1, y: 2, k: 1, o: 7, r: 4}. Give prob of picking 1 y, 2 r, 1 u, and 1 k.", "a": "4/1001" }, { "q": "Calculate prob of picking 4 v and 1 i when five letters picked without replacement from {r: 3, v: 4, i: 1}.", "a": "1/56" }, { "q": "Five letters picked without replacement from uauuuaaumuuaaua. Give prob of picking 5 u.", "a": "8/429" }, { "q": "Five letters picked without replacement from {h: 5, x: 2, i: 4, c: 2, q: 6}. What is prob of picking 1 x, 2 c, 1 i, and 1 q?", "a": "4/969" }, { "q": "Five letters picked without replacement from {u: 3, v: 6, e: 2}. What is prob of picking 2 v, 2 e, and 1 u?", "a": "15/154" }, { "q": "Five letters picked without replacement from gvvvvgvgggg. Give prob of picking 4 v and 1 g.", "a": "5/77" }, { "q": "Five letters picked without replacement from wdiwiidiww. What is prob of picking 1 i and 4 w?", "a": "1/63" }, { "q": "Five letters picked without replacement from {a: 7, x: 3, o: 1, s: 2, r: 1, u: 3}. What is prob of picking 1 x, 3 a, and 1 u?", "a": "45/884" }, { "q": "Five letters picked without replacement from tisisutbsiiis. Give prob of picking 3 s and 2 t.", "a": "4/1287" }, { "q": "Calculate prob of picking 3 s and 2 a when five letters picked without replacement from {s: 3, a: 13}.", "a": "1/56" }, { "q": "Five letters picked without replacement from klrwkrriirrrqr. What is prob of picking 3 r, 1 k, and 1 q?", "a": "5/143" }, { "q": "What is prob of picking 2 f, 1 s, and 2 h when five letters picked without replacement from {f: 5, q: 2, s: 1, h: 5, g: 1}?", "a": "50/1001" }, { "q": "What is prob of picking 1 u, 1 b, 2 c, and 1 r when five letters picked without replacement from vcvbvbccuvrv?", "a": "1/132" }, { "q": "Calculate prob of picking 1 j and 4 m when five letters picked without replacement from {m: 5, w: 2, j: 2, f: 2, i: 3, b: 1}.", "a": "10/3003" }, { "q": "Five letters picked without replacement from {c: 5, p: 10}. Give prob of picking 5 c.", "a": "1/3003" }, { "q": "Calculate prob of picking 2 t and 3 l when five letters picked without replacement from lltllllllltl.", "a": "5/33" }, { "q": "What is prob of picking 4 z and 1 l when five letters picked without replacement from zzzzznzllzzzzn?", "a": "30/143" }, { "q": "Five letters picked without replacement from aggaggggaaggggaggg. What is prob of picking 4 a and 1 g?", "a": "65/8568" }, { "q": "Five letters picked without replacement from {c: 5, m: 1, j: 9}. Give prob of picking 4 c and 1 m.", "a": "5/3003" }, { "q": "Calculate prob of picking 1 u, 2 c, and 2 w when five letters picked without replacement from ccoyuwcuwyu.", "a": "3/154" }, { "q": "Calculate prob of picking 1 j, 1 q, and 3 z when five letters picked without replacement from {k: 1, y: 1, z: 3, m: 1, j: 1, q: 1}.", "a": "1/56" }, { "q": "What is prob of picking 3 d and 2 q when five letters picked without replacement from qqqqdddqqadqddaaqaa?", "a": "140/2907" }, { "q": "Calculate prob of picking 1 z, 1 m, and 3 v when five letters picked without replacement from mddpmwzv.", "a": "0" }, { "q": "Calculate prob of picking 2 q and 3 r when five letters picked without replacement from qqqqqrqrrqr.", "a": "2/11" }, { "q": "Five letters picked without replacement from {s: 2, x: 2, e: 1, p: 4, y: 2, h: 2}. Give prob of picking 1 y, 1 h, 2 p, and 1 x.", "a": "16/429" }, { "q": "Five letters picked without replacement from rhbbeebrceeyyecehbe. What is prob of picking 2 r, 1 y, 1 b, and 1 h?", "a": "4/2907" }, { "q": "What is prob of picking 1 w, 2 x, and 2 v when five letters picked without replacement from {w: 12, x: 3, v: 2}?", "a": "9/1547" }, { "q": "Five letters picked without replacement from wthhuhtuuhuuawuuthua. Give prob of picking 2 w, 1 u, and 2 a.", "a": "1/1938" }, { "q": "What is prob of picking 3 t and 2 m when five letters picked without replacement from {m: 3, e: 10, t: 7}?", "a": "35/5168" }, { "q": "Five letters picked without replacement from bgoogbbooobbgb. Give prob of picking 4 o and 1 b.", "a": "15/1001" }, { "q": "Five letters picked without replacement from yyyygyeyeezzyyeeyz. What is prob of picking 1 g, 2 y, and 2 z?", "a": "3/238" }, { "q": "Five letters picked without replacement from {v: 2, z: 2, c: 10, a: 2, y: 3, t: 1}. What is prob of picking 2 z, 1 a, and 2 y?", "a": "1/2584" }, { "q": "Calculate prob of picking 3 u, 1 f, and 1 y when five letters picked without replacement from {u: 5, y: 10, f: 5}.", "a": "125/3876" }, { "q": "Five letters picked without replacement from uuulumxuluaayuauyy. Give prob of picking 1 y, 1 m, 1 x, and 2 l.", "a": "1/2856" }, { "q": "Five letters picked without replacement from {d: 5, m: 2, z: 2, h: 3, n: 1, o: 3}. Give prob of picking 1 d, 2 h, and 2 z.", "a": "5/1456" }, { "q": "Five letters picked without replacement from iiiiibibiii. Give prob of picking 3 i and 2 b.", "a": "2/11" }, { "q": "Calculate prob of picking 1 n, 3 b, and 1 c when five letters picked without replacement from {n: 1, t: 4, c: 2, p: 2, b: 5}.", "a": "10/1001" }, { "q": "Five letters picked without replacement from mmxmxm. Give prob of picking 4 m and 1 x.", "a": "1/3" }, { "q": "Five letters picked without replacement from rrssrsrggrgslsrs. Give prob of picking 1 g, 1 l, 2 s, and 1 r.", "a": "45/728" }, { "q": "Five letters picked without replacement from kkkkkkkkkkkkdkkkkkkk. Give prob of picking 4 k and 1 d.", "a": "1/4" }, { "q": "Calculate prob of picking 1 n, 2 e, 1 t, and 1 v when five letters picked without replacement from eqtqleevvqvteqeqtvnt.", "a": "10/969" }, { "q": "Five letters picked without replacement from {x: 2, e: 8, n: 5, t: 3}. Give prob of picking 2 x and 3 n.", "a": "5/4284" }, { "q": "Five letters picked without replacement from vcvvvvvvecvvvv. What is prob of picking 2 c and 3 v?", "a": "15/182" }, { "q": "Calculate prob of picking 2 m and 3 s when five letters picked without replacement from iyimmmmymsysgimisym.", "a": "7/3876" }, { "q": "Five letters picked without replacement from {i: 4, v: 11}. Give prob of picking 3 i and 2 v.", "a": "20/273" }, { "q": "Five letters picked without replacement from nnrwwwwcwrcrcnncnr. Give prob of picking 3 n and 2 w.", "a": "25/2142" }, { "q": "What is prob of picking 3 v, 1 h, and 1 r when five letters picked without replacement from rvrvvrvvrrvvvhvrwr?", "a": "7/102" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {j: 5, s: 10}.", "a": "12/143" }, { "q": "Calculate prob of picking 1 x and 4 v when five letters picked without replacement from jexvjeeveevjjcdjv.", "a": "1/6188" }, { "q": "Five letters picked without replacement from {k: 4, z: 3, y: 4, r: 3}. Give prob of picking 2 r, 2 z, and 1 k.", "a": "18/1001" }, { "q": "Five letters picked without replacement from {d: 4, s: 1, m: 2, u: 2, f: 5, y: 1}. Give prob of picking 1 s, 1 u, 1 f, and 2 m.", "a": "10/3003" }, { "q": "Five letters picked without replacement from xjaqqlnj. What is prob of picking 1 l, 2 j, 1 q, and 1 x?", "a": "1/28" }, { "q": "What is prob of picking 1 n, 3 u, and 1 d when five letters picked without replacement from dudueduddun?", "a": "10/231" }, { "q": "Five letters picked without replacement from qqlqlalqllqlqll. What is prob of picking 4 q and 1 a?", "a": "5/1001" }, { "q": "Five letters picked without replacement from {b: 4, t: 3}. What is prob of picking 1 t and 4 b?", "a": "1/7" }, { "q": "What is prob of picking 4 f and 1 u when five letters picked without replacement from ffffuffu?", "a": "15/28" }, { "q": "What is prob of picking 2 m and 3 k when five letters picked without replacement from {k: 5, q: 12, m: 3}?", "a": "5/2584" }, { "q": "What is prob of picking 1 i, 1 w, 1 v, and 2 s when five letters picked without replacement from vsidvwdsz?", "a": "1/63" }, { "q": "Calculate prob of picking 2 m, 1 b, 1 i, and 1 u when five letters picked without replacement from mivuquimqbuivq.", "a": "9/2002" }, { "q": "Five letters picked without replacement from idksddkddjjiddkjk. What is prob of picking 2 i, 1 d, 1 s, and 1 j?", "a": "3/884" }, { "q": "Calculate prob of picking 3 x and 2 c when five letters picked without replacement from xccpccpcccxppcpcxccp.", "a": "55/15504" }, { "q": "What is prob of picking 1 u, 1 f, and 3 s when five letters picked without replacement from {s: 3, f: 8, u: 6}?", "a": "12/1547" }, { "q": "Calculate prob of picking 2 b and 3 g when five letters picked without replacement from {b: 3, g: 8}.", "a": "4/11" }, { "q": "Calculate prob of picking 1 d, 2 i, and 2 w when five letters picked without replacement from bdtidibttww.", "a": "1/231" }, { "q": "Five letters picked without replacement from ggvgogxvggdggggg. What is prob of picking 1 v, 1 d, 1 x, and 2 g?", "a": "55/2184" }, { "q": "What is prob of picking 3 e and 2 s when five letters picked without replacement from {s: 13, e: 5}?", "a": "65/714" }, { "q": "Five letters picked without replacement from {a: 1, p: 2, e: 6, u: 1}. What is prob of picking 1 u, 2 e, and 2 p?", "a": "5/84" }, { "q": "Five letters picked without replacement from {w: 3, i: 4}. What is prob of picking 4 i and 1 w?", "a": "1/7" }, { "q": "Five letters picked without replacement from dmwwmdddzwdddd. Give prob of picking 2 w, 1 z, and 2 d.", "a": "6/143" }, { "q": "Five letters picked without replacement from {j: 14, i: 6}. Give prob of picking 5 i.", "a": "1/2584" }, { "q": "Five letters picked without replacement from crccgrgcrgrcrrcggr. What is prob of picking 5 g?", "a": "1/8568" }, { "q": "Five letters picked without replacement from {w: 2, p: 1, u: 1, z: 2, t: 2}. Give prob of picking 1 p, 1 w, 1 t, 1 z, and 1 u.", "a": "1/7" }, { "q": "Calculate prob of picking 3 w, 1 h, and 1 o when five letters picked without replacement from {w: 6, f: 2, h: 5, o: 1, d: 3}.", "a": "25/1547" }, { "q": "Calculate prob of picking 2 n, 2 k, and 1 q when five letters picked without replacement from pnqknbnnnknn.", "a": "7/264" }, { "q": "Calculate prob of picking 1 f, 2 v, 1 i, and 1 j when five letters picked without replacement from {i: 6, y: 3, o: 2, v: 2, j: 1, f: 3}.", "a": "9/3094" }, { "q": "Five letters picked without replacement from dxxrdxrdbrrrdddr. Give prob of picking 1 b, 3 r, and 1 x.", "a": "5/364" }, { "q": "Five letters picked without replacement from {z: 2, h: 5, k: 5, t: 6, l: 1}. What is prob of picking 1 h, 2 t, and 2 k?", "a": "125/1938" }, { "q": "Calculate prob of picking 2 d, 1 l, 1 t, and 1 x when five letters picked without replacement from fdftfffdnntxndttl.", "a": "3/1547" }, { "q": "What is prob of picking 4 u and 1 i when five letters picked without replacement from {f: 1, u: 4, a: 4, i: 2}?", "a": "1/231" }, { "q": "Calculate prob of picking 2 g and 3 t when five letters picked without replacement from tgtgttt.", "a": "10/21" }, { "q": "Calculate prob of picking 2 v and 3 y when five letters picked without replacement from yvvvvvvyvvv.", "a": "0" }, { "q": "Five letters picked without replacement from ysyffwyfffw. What is prob of picking 4 f and 1 s?", "a": "5/462" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from {r: 15, j: 2}?", "a": "33/68" }, { "q": "Five letters picked without replacement from {q: 5, f: 3, t: 5}. Give prob of picking 2 f and 3 q.", "a": "10/429" }, { "q": "Five letters picked without replacement from hqwwwqhhhhhhqhqhqh. Give prob of picking 3 q and 2 w.", "a": "5/1428" }, { "q": "Five letters picked without replacement from {x: 6, t: 1, f: 2, y: 7, g: 4}. What is prob of picking 5 x?", "a": "1/2584" }, { "q": "Five letters picked without replacement from {e: 4, g: 4, d: 4, j: 2, o: 2, p: 2}. What is prob of picking 2 p, 1 j, and 2 g?", "a": "1/714" }, { "q": "Five letters picked without replacement from azgfpab. Give prob of picking 1 z, 1 f, 1 p, 1 g, and 1 b.", "a": "1/21" }, { "q": "What is prob of picking 3 q and 2 d when five letters picked without replacement from qdddqqddtqgdgdq?", "a": "10/143" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from ssesesggggggeseggs?", "a": "1/153" }, { "q": "Five letters picked without replacement from {a: 1, r: 2, z: 2, e: 1, c: 6, k: 6}. Give prob of picking 3 c and 2 k.", "a": "25/714" }, { "q": "What is prob of picking 2 f, 2 b, and 1 e when five letters picked without replacement from fbbbfbfwwwfwbbbew?", "a": "9/442" }, { "q": "Five letters picked without replacement from {z: 15, s: 1}. Give prob of picking 1 s and 4 z.", "a": "5/16" }, { "q": "Calculate prob of picking 2 e, 1 b, and 2 g when five letters picked without replacement from ygyybyeygyggeygb.", "a": "5/1092" }, { "q": "Five letters picked without replacement from fffffefe. What is prob of picking 4 f and 1 e?", "a": "15/28" }, { "q": "Calculate prob of picking 1 r and 4 e when five letters picked without replacement from {e: 8, r: 3}.", "a": "5/11" }, { "q": "What is prob of picking 1 z, 3 b, and 1 v when five letters picked without replacement from {b: 4, z: 1, v: 1}?", "a": "2/3" }, { "q": "Five letters picked without replacement from {k: 1, r: 4, u: 7}. Give prob of picking 4 u and 1 r.", "a": "35/198" }, { "q": "Calculate prob of picking 1 c and 4 h when five letters picked without replacement from xhxhhcctcchcccchtcch.", "a": "25/2584" }, { "q": "Five letters picked without replacement from {i: 6, e: 1, y: 6, q: 5}. Give prob of picking 1 e, 2 i, and 2 y.", "a": "25/952" }, { "q": "Five letters picked without replacement from {i: 2, z: 13}. What is prob of picking 2 i and 3 z?", "a": "2/21" }, { "q": "Calculate prob of picking 2 q, 1 e, and 2 m when five letters picked without replacement from mmmeqqququepeqmeq.", "a": "90/1547" }, { "q": "What is prob of picking 2 c and 3 y when five letters picked without replacement from {c: 8, y: 6}?", "a": "40/143" }, { "q": "What is prob of picking 2 a, 1 z, 1 j, and 1 x when five letters picked without replacement from {j: 1, a: 2, x: 12, z: 1, t: 3}?", "a": "1/969" }, { "q": "What is prob of picking 2 t and 3 l when five letters picked without replacement from ttlttttttltttltt?", "a": "1/56" }, { "q": "Five letters picked without replacement from {u: 6, b: 2, x: 9}. What is prob of picking 4 u and 1 b?", "a": "15/3094" }, { "q": "What is prob of picking 4 g and 1 z when five letters picked without replacement from {z: 3, g: 11}?", "a": "45/91" }, { "q": "What is prob of picking 2 x and 3 r when five letters picked without replacement from rxwxrrrxrrrrrrxrxrrr?", "a": "455/1938" }, { "q": "Calculate prob of picking 1 j, 2 a, and 2 e when five letters picked without replacement from {u: 2, z: 1, a: 2, e: 3, j: 6}.", "a": "9/1001" }, { "q": "What is prob of picking 2 s and 3 w when five letters picked without replacement from {k: 2, s: 2, v: 3, w: 12}?", "a": "55/2907" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from wwwzwzzzzzwzwzzzzz.", "a": "11/119" }, { "q": "Five letters picked without replacement from {b: 3, p: 9}. Give prob of picking 5 p.", "a": "7/44" }, { "q": "What is prob of picking 2 q, 1 u, and 2 f when five letters picked without replacement from {q: 2, f: 9, u: 7}?", "a": "1/34" }, { "q": "Calculate prob of picking 1 h, 1 c, 1 b, and 2 u when five letters picked without replacement from cnbuchcfuh.", "a": "1/42" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from dddxddddxdddddd.", "a": "0" }, { "q": "Calculate prob of picking 1 g, 2 l, and 2 b when five letters picked without replacement from bbllwwwlwg.", "a": "1/84" }, { "q": "Five letters picked without replacement from {c: 4, t: 6, v: 1}. Give prob of picking 2 c, 1 v, and 2 t.", "a": "15/77" }, { "q": "Five letters picked without replacement from lllllzllllzll. Give prob of picking 4 l and 1 z.", "a": "20/39" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from ssczs.", "a": "0" }, { "q": "Five letters picked without replacement from {m: 2, z: 2, f: 9, j: 1, d: 3, r: 3}. What is prob of picking 1 r, 2 f, and 2 m?", "a": "9/1292" }, { "q": "What is prob of picking 1 i, 2 p, 1 r, and 1 y when five letters picked without replacement from ypiiyprprppprprpppri?", "a": "225/2584" }, { "q": "Five letters picked without replacement from mcmmczmzmbmbkbkmzcjm. What is prob of picking 2 k, 1 c, and 2 b?", "a": "3/5168" }, { "q": "Five letters picked without replacement from {k: 2, q: 2, i: 4, p: 6}. What is prob of picking 1 k, 1 q, and 3 i?", "a": "8/1001" }, { "q": "Five letters picked without replacement from dzzdzwdzwddzzd. Give prob of picking 3 d and 2 w.", "a": "10/1001" }, { "q": "Five letters picked without replacement from ssssssbsbs. What is prob of picking 1 b and 4 s?", "a": "5/9" }, { "q": "What is prob of picking 1 q, 3 i, and 1 e when five letters picked without replacement from {e: 4, q: 3, i: 8}?", "a": "32/143" }, { "q": "Calculate prob of picking 1 e, 2 d, 1 h, and 1 j when five letters picked without replacement from ddcjdcceddh.", "a": "5/231" }, { "q": "Five letters picked without replacement from {q: 6, r: 11}. What is prob of picking 3 r and 2 q?", "a": "2475/6188" }, { "q": "Five letters picked without replacement from hhhhwwwwhhhh. What is prob of picking 5 h?", "a": "7/99" }, { "q": "What is prob of picking 4 z and 1 q when five letters picked without replacement from {r: 6, q: 1, z: 5}?", "a": "5/792" }, { "q": "Five letters picked without replacement from {t: 3, w: 3, m: 5, i: 1, r: 5}. What is prob of picking 1 w, 2 t, and 2 r?", "a": "45/3094" }, { "q": "What is prob of picking 1 m, 1 d, 1 u, and 2 p when five letters picked without replacement from cuprprrmcdc?", "a": "1/462" }, { "q": "Five letters picked without replacement from sfsfffshssfssshsss. What is prob of picking 1 f, 3 s, and 1 h?", "a": "275/1428" }, { "q": "Five letters picked without replacement from {o: 2, y: 5, q: 2, u: 5}. What is prob of picking 3 y, 1 o, and 1 q?", "a": "20/1001" }, { "q": "Five letters picked without replacement from oevvehehohyyhyhvhrhh. What is prob of picking 2 h, 1 y, 1 e, and 1 o?", "a": "21/646" }, { "q": "Five letters picked without replacement from {e: 13, b: 3}. What is prob of picking 3 b and 2 e?", "a": "1/56" }, { "q": "Five letters picked without replacement from {f: 3, a: 2, s: 2, q: 3}. What is prob of picking 2 f, 1 s, and 2 q?", "a": "1/14" }, { "q": "What is prob of picking 4 r and 1 i when five letters picked without replacement from {r: 9, i: 10}?", "a": "35/323" }, { "q": "Calculate prob of picking 4 y and 1 l when five letters picked without replacement from lymlmyymlypyyymy.", "a": "5/104" }, { "q": "Calculate prob of picking 1 e, 1 i, 2 u, and 1 f when five letters picked without replacement from {u: 3, e: 2, i: 1, l: 5, f: 1, p: 3}.", "a": "2/1001" }, { "q": "Five letters picked without replacement from olrqlollollqoollqoor. What is prob of picking 1 o, 3 l, and 1 q?", "a": "49/646" }, { "q": "Five letters picked without replacement from {g: 7, h: 12}. Give prob of picking 2 g and 3 h.", "a": "385/969" }, { "q": "What is prob of picking 2 t and 3 f when five letters picked without replacement from fftfttffttff?", "a": "175/396" }, { "q": "Five letters picked without replacement from {g: 7, m: 2, k: 2, r: 1, d: 2}. What is prob of picking 5 g?", "a": "3/286" }, { "q": "Five letters picked without replacement from vvmmvvvzzv. What is prob of picking 2 m, 1 v, and 2 z?", "a": "1/42" }, { "q": "Five letters picked without replacement from {q: 10, k: 9}. Give prob of picking 5 k.", "a": "7/646" }, { "q": "Five letters picked without replacement from ilwicwcllwllw. Give prob of picking 1 l, 1 w, 2 i, and 1 c.", "a": "40/1287" }, { "q": "Five letters picked without replacement from uuuuuoucyvmoyyy. What is prob of picking 1 o, 3 u, and 1 v?", "a": "40/3003" }, { "q": "Calculate prob of picking 2 k, 1 p, and 2 w when five letters picked without replacement from {k: 3, w: 3, p: 3}.", "a": "3/14" }, { "q": "Calculate prob of picking 3 f and 2 z when five letters picked without replacement from zzzffllflzzzzlzdz.", "a": "9/1547" }, { "q": "Calculate prob of picking 1 n, 1 c, 1 v, and 2 y when five letters picked without replacement from {z: 3, n: 1, c: 1, v: 1, o: 4, y: 7}.", "a": "3/884" }, { "q": "Five letters picked without replacement from {a: 1, d: 4, s: 2, p: 5}. What is prob of picking 2 d, 1 s, and 2 p?", "a": "5/33" }, { "q": "What is prob of picking 1 t, 1 m, and 3 g when five letters picked without replacement from {t: 3, f: 6, m: 1, g: 9}?", "a": "7/323" }, { "q": "Five letters picked without replacement from {o: 1, a: 14, g: 2}. Give prob of picking 2 g and 3 a.", "a": "1/17" }, { "q": "Five letters picked without replacement from iiiwiiwiwiiwiii. What is prob of picking 5 i?", "a": "2/13" }, { "q": "Five letters picked without replacement from ssyssssssssssssssss. What is prob of picking 5 s?", "a": "14/19" }, { "q": "Five letters picked without replacement from {h: 13, c: 7}. What is prob of picking 4 h and 1 c?", "a": "5005/15504" }, { "q": "What is prob of picking 1 y, 1 h, and 3 u when five letters picked without replacement from {v: 7, y: 5, u: 4, h: 4}?", "a": "5/969" }, { "q": "Calculate prob of picking 1 r, 1 m, 1 x, and 2 k when five letters picked without replacement from rkbmmfbmkfmxkffmfrmm.", "a": "7/2584" }, { "q": "Five letters picked without replacement from {q: 2, p: 6, o: 4, d: 6, v: 2}. What is prob of picking 1 v, 2 p, and 2 o?", "a": "15/1292" }, { "q": "Five letters picked without replacement from {i: 2, p: 15}. What is prob of picking 3 p and 2 i?", "a": "5/68" }, { "q": "Five letters picked without replacement from {q: 3, j: 13, c: 4}. What is prob of picking 1 c, 1 q, and 3 j?", "a": "143/646" }, { "q": "Five letters picked without replacement from {l: 8, r: 6}. What is prob of picking 3 l and 2 r?", "a": "60/143" }, { "q": "Five letters picked without replacement from {b: 5, w: 1}. Give prob of picking 4 b and 1 w.", "a": "5/6" }, { "q": "Five letters picked without replacement from xxxxrxxxxrrxrr. Give prob of picking 4 r and 1 x.", "a": "45/2002" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from coccccccc?", "a": "4/9" }, { "q": "What is prob of picking 1 e, 1 k, 1 c, 1 g, and 1 w when five letters picked without replacement from {p: 1, g: 2, e: 3, w: 1, k: 2, c: 6}?", "a": "24/1001" }, { "q": "Five letters picked without replacement from pwwwwwwwwwwwwwww. Give prob of picking 4 w and 1 p.", "a": "5/16" }, { "q": "Five letters picked without replacement from {n: 10}. Give prob of picking 5 n.", "a": "1" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {v: 7, e: 11}?", "a": "1/408" }, { "q": "Calculate prob of picking 3 x and 2 s when five letters picked without replacement from {s: 3, x: 5, l: 7}.", "a": "10/1001" }, { "q": "Five letters picked without replacement from qqfqqq. Give prob of picking 5 q.", "a": "1/6" }, { "q": "Five letters picked without replacement from {v: 8, l: 3, o: 1}. Give prob of picking 5 v.", "a": "7/99" }, { "q": "Five letters picked without replacement from rgvrrrrroaro. What is prob of picking 4 r and 1 o?", "a": "35/396" }, { "q": "Five letters picked without replacement from dododofxfdooxd. Give prob of picking 4 d and 1 f.", "a": "5/1001" }, { "q": "Calculate prob of picking 3 t and 2 g when five letters picked without replacement from gtttggttt.", "a": "10/21" }, { "q": "Calculate prob of picking 1 c and 4 g when five letters picked without replacement from {f: 1, c: 5, o: 2, g: 9}.", "a": "45/442" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {v: 10, m: 8}?", "a": "1/34" }, { "q": "Five letters picked without replacement from snnnzocnscsnsccl. What is prob of picking 1 z, 2 n, 1 s, and 1 c?", "a": "10/273" }, { "q": "Five letters picked without replacement from mnnhhhhhm. Give prob of picking 2 m and 3 h.", "a": "5/63" }, { "q": "What is prob of picking 3 f and 2 d when five letters picked without replacement from ddddddddddfddddddfdf?", "a": "1/114" }, { "q": "Five letters picked without replacement from ukmumlmmmlmlwmukwmk. What is prob of picking 2 m and 3 u?", "a": "7/2907" }, { "q": "Calculate prob of picking 1 a, 1 r, 1 b, and 2 p when five letters picked without replacement from {b: 1, l: 2, a: 6, r: 2, p: 7, y: 1}.", "a": "7/323" }, { "q": "Five letters picked without replacement from {y: 1, g: 7, z: 4}. What is prob of picking 2 g and 3 z?", "a": "7/66" }, { "q": "Calculate prob of picking 1 h and 4 o when five letters picked without replacement from {h: 10, k: 1, o: 4}.", "a": "10/3003" }, { "q": "Five letters picked without replacement from nggttttnnggt. Give prob of picking 3 g and 2 t.", "a": "5/99" }, { "q": "Five letters picked without replacement from {y: 8, b: 12}. What is prob of picking 5 b?", "a": "33/646" }, { "q": "Calculate prob of picking 3 o and 2 s when five letters picked without replacement from {j: 7, o: 3, s: 4}.", "a": "3/1001" }, { "q": "What is prob of picking 2 w and 3 h when five letters picked without replacement from {w: 2, h: 4, n: 2}?", "a": "1/14" }, { "q": "What is prob of picking 3 d and 2 y when five letters picked without replacement from {z: 1, d: 8, y: 8, b: 1}?", "a": "28/153" }, { "q": "What is prob of picking 4 a and 1 j when five letters picked without replacement from jjaaaaaj?", "a": "15/56" }, { "q": "Five letters picked without replacement from llewmwwlmllrlwnlw. What is prob of picking 2 m, 1 w, 1 r, and 1 l?", "a": "5/884" }, { "q": "What is prob of picking 3 h and 2 e when five letters picked without replacement from hhhhehhhehhheh?", "a": "45/182" }, { "q": "Calculate prob of picking 3 z, 1 m, and 1 u when five letters picked without replacement from {u: 1, m: 2, z: 10, k: 1, l: 2}.", "a": "5/91" }, { "q": "Five letters picked without replacement from fmffmffmmffffffffmf. What is prob of picking 4 m and 1 f?", "a": "35/5814" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {y: 10, g: 10}?", "a": "21/1292" }, { "q": "What is prob of picking 1 k and 4 q when five letters picked without replacement from qqkkkqqqkkqqqqkkq?", "a": "105/442" }, { "q": "Five letters picked without replacement from {r: 5, g: 9}. Give prob of picking 2 r and 3 g.", "a": "60/143" }, { "q": "What is prob of picking 2 h, 1 p, and 2 m when five letters picked without replacement from {p: 3, q: 2, s: 1, h: 5, m: 9}?", "a": "45/646" }, { "q": "Calculate prob of picking 2 g and 3 b when five letters picked without replacement from tgbgbtbttlttgbbl.", "a": "5/728" }, { "q": "Five letters picked without replacement from rxnrwccrsr. What is prob of picking 1 n, 2 r, and 2 c?", "a": "1/42" }, { "q": "Five letters picked without replacement from ssisqiqsssissiqsqsss. What is prob of picking 1 i, 3 s, and 1 q?", "a": "220/969" }, { "q": "Five letters picked without replacement from qhqorqofooho. Give prob of picking 2 h, 1 f, and 2 o.", "a": "5/396" }, { "q": "Five letters picked without replacement from ffnfnfnfffbffffdbb. Give prob of picking 2 f, 1 d, and 2 b.", "a": "55/2856" }, { "q": "Calculate prob of picking 1 m and 4 n when five letters picked without replacement from pmmpnnmmnnnnmpmnnnnn.", "a": "165/1292" }, { "q": "Calculate prob of picking 2 o, 1 d, 1 b, and 1 m when five letters picked without replacement from jojdmomdjboojjbm.", "a": "3/182" }, { "q": "What is prob of picking 1 h, 1 w, 1 v, and 2 r when five letters picked without replacement from {e: 1, w: 1, h: 1, k: 3, r: 4, v: 2}?", "a": "1/66" }, { "q": "What is prob of picking 2 m and 3 g when five letters picked without replacement from ggmgggggggggmgg?", "a": "2/21" }, { "q": "Five letters picked without replacement from lllxlllllllxx. What is prob of picking 3 l and 2 x?", "a": "40/143" }, { "q": "Five letters picked without replacement from {q: 7, n: 2, o: 8}. What is prob of picking 1 n and 4 o?", "a": "5/221" }, { "q": "Five letters picked without replacement from ahahlparfalrpaarrafh. What is prob of picking 1 p, 1 l, 2 r, and 1 a?", "a": "7/646" }, { "q": "What is prob of picking 1 x and 4 f when five letters picked without replacement from fxfffxxyxx?", "a": "5/252" }, { "q": "Calculate prob of picking 1 v and 4 z when five letters picked without replacement from {v: 2, z: 7}.", "a": "5/9" }, { "q": "What is prob of picking 3 a and 2 d when five letters picked without replacement from {t: 4, d: 5, a: 9}?", "a": "5/51" }, { "q": "What is prob of picking 4 y and 1 d when five letters picked without replacement from {v: 1, d: 7, y: 6, t: 4}?", "a": "5/408" }, { "q": "Calculate prob of picking 4 p and 1 c when five letters picked without replacement from cccccpccc.", "a": "0" }, { "q": "What is prob of picking 1 v and 4 s when five letters picked without replacement from shvgghvvhsvvsvsssvv?", "a": "10/969" }, { "q": "Five letters picked without replacement from jkkjkjkkjkkjkkjjkjjj. What is prob of picking 5 j?", "a": "21/1292" }, { "q": "Five letters picked without replacement from kkkkkkqkkkk. What is prob of picking 5 q?", "a": "0" }, { "q": "Calculate prob of picking 2 s, 1 p, and 2 a when five letters picked without replacement from paspsa.", "a": "1/3" }, { "q": "Five letters picked without replacement from hhhhidhhhhididdshsdh. What is prob of picking 3 h and 2 d?", "a": "25/323" }, { "q": "What is prob of picking 1 y, 2 t, and 2 g when five letters picked without replacement from {t: 2, g: 3, m: 2, y: 2}?", "a": "1/21" }, { "q": "What is prob of picking 4 l and 1 a when five letters picked without replacement from {h: 2, l: 7, a: 6, g: 2}?", "a": "15/442" }, { "q": "Five letters picked without replacement from {o: 6, g: 2, q: 4, k: 2, h: 2, w: 3}. What is prob of picking 1 q, 3 w, and 1 o?", "a": "2/969" }, { "q": "Calculate prob of picking 2 s, 1 y, and 2 t when five letters picked without replacement from ytyssykktsyst.", "a": "8/143" }, { "q": "Calculate prob of picking 1 d, 1 a, 1 o, and 2 w when five letters picked without replacement from woowoddooaowwoa.", "a": "8/143" }, { "q": "What is prob of picking 1 k, 1 p, 2 g, and 1 t when five letters picked without replacement from gpiktttptptitygpktt?", "a": "16/2907" }, { "q": "Calculate prob of picking 1 l, 3 n, and 1 j when five letters picked without replacement from {w: 2, x: 1, j: 3, l: 6, n: 5, t: 2}.", "a": "5/323" }, { "q": "Five letters picked without replacement from megzymzze. Give prob of picking 2 m, 2 z, and 1 g.", "a": "1/42" }, { "q": "Five letters picked without replacement from {k: 9, v: 4}. Give prob of picking 3 v and 2 k.", "a": "16/143" }, { "q": "Five letters picked without replacement from fffcffffffc. Give prob of picking 4 f and 1 c.", "a": "6/11" }, { "q": "Calculate prob of picking 1 m and 4 o when five letters picked without replacement from mmmmmoomomomm.", "a": "1/143" }, { "q": "Calculate prob of picking 1 n, 1 z, 2 q, and 1 c when five letters picked without replacement from {c: 6, n: 1, q: 4, z: 5}.", "a": "15/364" }, { "q": "Five letters picked without replacement from tgcytjycteytjjgtjte. What is prob of picking 1 c, 1 t, and 3 j?", "a": "4/969" }, { "q": "Five letters picked without replacement from {y: 13, b: 7}. Give prob of picking 4 b and 1 y.", "a": "455/15504" }, { "q": "What is prob of picking 1 l and 4 g when five letters picked without replacement from gggglglgllgyggllgg?", "a": "55/238" }, { "q": "Five letters picked without replacement from hsthtggctte. What is prob of picking 1 s, 3 t, and 1 c?", "a": "2/231" }, { "q": "What is prob of picking 3 e, 1 a, and 1 w when five letters picked without replacement from {e: 3, c: 2, w: 6, a: 2}?", "a": "4/429" }, { "q": "Five letters picked without replacement from {w: 1, d: 1, t: 4, g: 2, v: 4}. Give prob of picking 3 t, 1 g, and 1 w.", "a": "1/99" }, { "q": "Calculate prob of picking 4 t and 1 i when five letters picked without replacement from iiiiitiiiittttiiiii.", "a": "35/5814" }, { "q": "What is prob of picking 4 s and 1 o when five letters picked without replacement from {s: 13, o: 6}?", "a": "715/1938" }, { "q": "What is prob of picking 1 q, 2 j, and 2 c when five letters picked without replacement from ciscjccjqjcqj?", "a": "40/429" }, { "q": "Calculate prob of picking 1 g and 4 x when five letters picked without replacement from xgxxxnxnxxnnnxxnxnx.", "a": "55/1938" }, { "q": "Calculate prob of picking 3 p, 1 q, and 1 b when five letters picked without replacement from {b: 4, q: 3, p: 3}.", "a": "1/21" }, { "q": "Five letters picked without replacement from uuuluuluuuluuuuu. Give prob of picking 3 l and 2 u.", "a": "1/56" }, { "q": "What is prob of picking 1 i, 3 t, and 1 v when five letters picked without replacement from {v: 3, c: 3, h: 1, i: 2, t: 3, x: 3}?", "a": "2/1001" }, { "q": "What is prob of picking 1 o, 3 v, and 1 n when five letters picked without replacement from {v: 5, o: 6, n: 1}?", "a": "5/66" }, { "q": "Five letters picked without replacement from {b: 5, w: 1}. Give prob of picking 5 b.", "a": "1/6" }, { "q": "Five letters picked without replacement from hhpbhpxhbbpxpxhh. Give prob of picking 1 b, 2 p, and 2 x.", "a": "9/728" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from kooooookkokooo?", "a": "18/143" }, { "q": "Five letters picked without replacement from pptptppppppttppppptp. Give prob of picking 2 t and 3 p.", "a": "2275/7752" }, { "q": "Calculate prob of picking 2 m, 1 t, 1 b, and 1 x when five letters picked without replacement from vmbtmvvmmmbxv.", "a": "20/1287" }, { "q": "Five letters picked without replacement from {x: 4, l: 3, h: 6, r: 2, p: 3}. What is prob of picking 4 p and 1 x?", "a": "0" }, { "q": "Five letters picked without replacement from {s: 3, h: 3, w: 1, q: 1, j: 2, e: 1}. What is prob of picking 1 j, 3 s, and 1 w?", "a": "1/231" }, { "q": "Calculate prob of picking 3 c and 2 u when five letters picked without replacement from qcqccuqqqcquqc.", "a": "5/1001" }, { "q": "Five letters picked without replacement from {r: 9, n: 5}. What is prob of picking 3 n and 2 r?", "a": "180/1001" }, { "q": "Five letters picked without replacement from {i: 12, k: 3, a: 1, v: 2}. What is prob of picking 1 a, 1 i, 2 k, and 1 v?", "a": "1/119" }, { "q": "Five letters picked without replacement from msmumummmmmmmmmus. Give prob of picking 2 u, 2 s, and 1 m.", "a": "9/1547" }, { "q": "Five letters picked without replacement from vvpvvuuovuoppvuupo. What is prob of picking 1 v, 3 p, and 1 u?", "a": "5/357" }, { "q": "Five letters picked without replacement from {b: 2, w: 2, h: 2, n: 8, v: 4, i: 2}. What is prob of picking 2 v, 2 i, and 1 n?", "a": "1/323" }, { "q": "Five letters picked without replacement from {b: 14, w: 4}. What is prob of picking 4 b and 1 w?", "a": "143/306" }, { "q": "What is prob of picking 2 n, 1 s, and 2 r when five letters picked without replacement from nsnrrnsrsrr?", "a": "15/77" }, { "q": "Five letters picked without replacement from yygfyyymsyccyym. What is prob of picking 1 s, 2 c, and 2 m?", "a": "1/3003" }, { "q": "Five letters picked without replacement from qbbobbqobqqqbbbqqbqb. Give prob of picking 1 o and 4 b.", "a": "35/1292" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {n: 5, m: 6}.", "a": "1/77" }, { "q": "Calculate prob of picking 2 q, 1 f, and 2 d when five letters picked without replacement from {d: 6, a: 3, q: 3, f: 1}.", "a": "5/143" }, { "q": "What is prob of picking 2 x and 3 l when five letters picked without replacement from lljxilillxlllxxlilxx?", "a": "75/646" }, { "q": "What is prob of picking 4 v and 1 r when five letters picked without replacement from {v: 5, r: 7}?", "a": "35/792" }, { "q": "Five letters picked without replacement from {g: 3, n: 2, b: 6, x: 1, v: 5}. Give prob of picking 1 g, 1 b, 1 x, and 2 n.", "a": "9/3094" }, { "q": "Five letters picked without replacement from ribtrrbbtrbrbbbbrbrr. What is prob of picking 2 b, 1 i, and 2 r?", "a": "21/323" }, { "q": "Five letters picked without replacement from llljljjlljllljljlj. What is prob of picking 5 l?", "a": "11/204" }, { "q": "What is prob of picking 2 t, 1 s, 1 g, and 1 k when five letters picked without replacement from tvgskksgkksgtktxv?", "a": "135/6188" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from {w: 13, e: 6}?", "a": "143/1292" }, { "q": "Five letters picked without replacement from {q: 3, r: 4, z: 8, v: 2, k: 3}. What is prob of picking 1 q, 3 z, and 1 v?", "a": "7/323" }, { "q": "Calculate prob of picking 2 b and 3 m when five letters picked without replacement from {q: 1, c: 1, m: 8, b: 6}.", "a": "5/26" }, { "q": "Calculate prob of picking 2 i, 1 k, 1 m, and 1 y when five letters picked without replacement from {m: 3, d: 1, y: 5, i: 4, g: 3, k: 2}.", "a": "5/238" }, { "q": "Five letters picked without replacement from xssxxxstxxqtssqxpxx. What is prob of picking 1 x, 1 t, and 3 s?", "a": "5/323" }, { "q": "Five letters picked without replacement from kkyyykykykyyyykkyy. Give prob of picking 1 k and 4 y.", "a": "55/204" }, { "q": "Five letters picked without replacement from {s: 7, i: 2}. Give prob of picking 5 s.", "a": "1/6" }, { "q": "What is prob of picking 3 a and 2 s when five letters picked without replacement from {a: 16, s: 4}?", "a": "70/323" }, { "q": "Five letters picked without replacement from cccccbbbxcccc. Give prob of picking 4 c and 1 x.", "a": "14/143" }, { "q": "Five letters picked without replacement from hhxxxxxxx. Give prob of picking 5 x.", "a": "1/6" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from lylllyllyl.", "a": "1/12" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from {u: 9, w: 7}?", "a": "1/208" }, { "q": "Five letters picked without replacement from erbeeexeex. Give prob of picking 2 x and 3 e.", "a": "5/63" }, { "q": "Five letters picked without replacement from {q: 11, z: 1, x: 3}. Give prob of picking 5 x.", "a": "0" }, { "q": "Five letters picked without replacement from {z: 1, o: 9, u: 5, d: 1}. What is prob of picking 2 u and 3 o?", "a": "5/26" }, { "q": "Five letters picked without replacement from {f: 7, o: 3, j: 9}. What is prob of picking 1 j, 2 o, and 2 f?", "a": "63/1292" }, { "q": "Five letters picked without replacement from {a: 1, b: 5, u: 5, n: 1, g: 3, z: 3}. Give prob of picking 1 z and 4 b.", "a": "5/2856" }, { "q": "Five letters picked without replacement from {l: 3, p: 8}. What is prob of picking 5 l?", "a": "0" }, { "q": "Calculate prob of picking 1 d, 3 c, and 1 f when five letters picked without replacement from gsccccsdccfggc.", "a": "5/286" }, { "q": "Five letters picked without replacement from bkbbkkkbkkkkbkkkbkk. What is prob of picking 2 k and 3 b?", "a": "130/969" }, { "q": "Five letters picked without replacement from {x: 3, l: 1, o: 9}. What is prob of picking 3 x and 2 o?", "a": "4/143" }, { "q": "What is prob of picking 3 y and 2 m when five letters picked without replacement from {y: 3, m: 3}?", "a": "1/2" }, { "q": "Five letters picked without replacement from {o: 7, e: 2, i: 3}. Give prob of picking 5 o.", "a": "7/264" }, { "q": "Calculate prob of picking 1 k, 1 c, and 3 q when five letters picked without replacement from {q: 5, p: 1, c: 5, k: 3}.", "a": "75/1001" }, { "q": "Five letters picked without replacement from {r: 2, a: 5, t: 2, o: 4, c: 1, d: 2}. What is prob of picking 2 t, 2 d, and 1 r?", "a": "1/2184" }, { "q": "Five letters picked without replacement from equeoseoousoqqqesse. Give prob of picking 3 q, 1 u, and 1 e.", "a": "10/2907" }, { "q": "Five letters picked without replacement from {q: 13, a: 5}. What is prob of picking 1 a and 4 q?", "a": "3575/8568" }, { "q": "What is prob of picking 2 t and 3 l when five letters picked without replacement from vtltvltlvtvtt?", "a": "5/429" }, { "q": "Five letters picked without replacement from xexexxeexxxxex. What is prob of picking 1 x and 4 e?", "a": "45/2002" }, { "q": "Five letters picked without replacement from asqsssasasasssfsss. What is prob of picking 1 s, 3 a, and 1 f?", "a": "2/357" }, { "q": "Five letters picked without replacement from fffffxfxffxxfffffffx. What is prob of picking 1 f and 4 x?", "a": "25/5168" }, { "q": "Five letters picked without replacement from {c: 3, g: 10}. What is prob of picking 3 c and 2 g?", "a": "5/143" }, { "q": "Five letters picked without replacement from ddiddddddddddddddd. What is prob of picking 1 i and 4 d?", "a": "5/18" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from bbhbhhhhbhbbhb.", "a": "3/286" }, { "q": "Calculate prob of picking 2 j, 2 x, and 1 q when five letters picked without replacement from qzxzzxqqzjxxjx.", "a": "15/1001" }, { "q": "What is prob of picking 3 j, 1 t, and 1 v when five letters picked without replacement from {t: 1, j: 6, c: 4, e: 7, v: 1}?", "a": "5/2907" }, { "q": "Five letters picked without replacement from cccccccc. What is prob of picking 5 c?", "a": "1" }, { "q": "Five letters picked without replacement from {r: 2, j: 11}. What is prob of picking 5 j?", "a": "14/39" }, { "q": "What is prob of picking 1 z and 4 c when five letters picked without replacement from {p: 4, c: 7, z: 8}?", "a": "70/2907" }, { "q": "Calculate prob of picking 3 e and 2 t when five letters picked without replacement from ieivvvteevvvt.", "a": "1/1287" }, { "q": "Calculate prob of picking 1 q and 4 f when five letters picked without replacement from cffqccqqqfqhhfcccfqc.", "a": "5/2584" }, { "q": "Five letters picked without replacement from xemxxe. What is prob of picking 1 x and 4 m?", "a": "0" }, { "q": "Five letters picked without replacement from mohbohmmmhmbmhombmoo. Give prob of picking 1 m, 1 b, 2 h, and 1 o.", "a": "15/323" }, { "q": "Calculate prob of picking 3 l and 2 x when five letters picked without replacement from xxxxxlxxxxxxlxlx.", "a": "1/56" }, { "q": "Five letters picked without replacement from xyyyyxxyxxxxyyxyxxyx. What is prob of picking 3 y and 2 x?", "a": "385/1292" }, { "q": "What is prob of picking 1 i, 3 o, and 1 b when five letters picked without replacement from ooiooooioboobo?", "a": "240/1001" }, { "q": "Five letters picked without replacement from ihigsissgqiiqhsis. Give prob of picking 1 h, 1 g, and 3 s.", "a": "10/1547" }, { "q": "Five letters picked without replacement from {o: 1, u: 7, t: 3, v: 3}. Give prob of picking 2 t and 3 v.", "a": "3/2002" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from {w: 11, b: 8}.", "a": "14/2907" }, { "q": "Calculate prob of picking 3 h and 2 m when five letters picked without replacement from mmmmqhmhhhqmhhhmdmhh.", "a": "49/323" }, { "q": "Calculate prob of picking 2 x and 3 k when five letters picked without replacement from {m: 1, k: 5, i: 3, u: 1, x: 3, t: 3}.", "a": "5/728" }, { "q": "Calculate prob of picking 1 a, 3 z, and 1 d when five letters picked without replacement from {a: 3, z: 3, m: 1, d: 2, k: 1}.", "a": "1/42" }, { "q": "Calculate prob of picking 1 u and 4 q when five letters picked without replacement from {q: 4, u: 1, z: 2}.", "a": "1/21" }, { "q": "Five letters picked without replacement from wwccpwwcccpicw. Give prob of picking 1 c, 1 p, and 3 w.", "a": "60/1001" }, { "q": "Five letters picked without replacement from zizdddvzmm. Give prob of picking 1 v, 1 m, and 3 z.", "a": "1/126" }, { "q": "Five letters picked without replacement from xpxxxxppxxxxpxxw. Give prob of picking 5 x.", "a": "11/104" }, { "q": "What is prob of picking 1 r, 2 v, and 2 m when five letters picked without replacement from rrrrvrvmmrmmr?", "a": "14/429" }, { "q": "What is prob of picking 4 m and 1 y when five letters picked without replacement from {y: 4, m: 16}?", "a": "455/969" }, { "q": "Five letters picked without replacement from {l: 1, r: 2, b: 4, t: 2, p: 3}. Give prob of picking 1 t, 2 p, and 2 b.", "a": "1/22" }, { "q": "What is prob of picking 2 d, 1 z, and 2 c when five letters picked without replacement from {d: 5, c: 2, z: 2, h: 4, q: 2}?", "a": "20/3003" }, { "q": "Calculate prob of picking 1 x and 4 n when five letters picked without replacement from xnnxxxxnnnxnnnnx.", "a": "21/104" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from {r: 2, f: 1, b: 4, k: 6, p: 3, z: 1}. Give prob of picking 1 z and 4 b.", "a": "1/6188" }, { "q": "Calculate prob of picking 3 b, 1 j, and 1 u when five letters picked without replacement from {u: 1, n: 5, j: 4, l: 1, b: 3}.", "a": "2/1001" }, { "q": "Calculate prob of picking 4 g and 1 q when five letters picked without replacement from qqqgqqqqggqgqqqgqqqq.", "a": "25/5168" }, { "q": "Five letters picked without replacement from faaafaaaaaalfaflfal. What is prob of picking 3 f and 2 l?", "a": "5/1938" }, { "q": "Calculate prob of picking 2 k, 1 c, and 2 y when five letters picked without replacement from {g: 3, n: 1, c: 5, k: 1, y: 2, u: 6}.", "a": "0" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from nnnnnnnn?", "a": "1" }, { "q": "What is prob of picking 2 f and 3 q when five letters picked without replacement from fffqqfffqffffqf?", "a": "20/273" }, { "q": "Five letters picked without replacement from {x: 1, i: 5, g: 2, y: 6, q: 3, b: 1}. What is prob of picking 1 x, 1 q, and 3 i?", "a": "5/1428" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from {i: 6, n: 11, y: 3}?", "a": "1/2584" }, { "q": "Calculate prob of picking 1 e, 1 n, 1 d, and 2 q when five letters picked without replacement from {q: 3, n: 2, d: 2, y: 1, e: 1, j: 2}.", "a": "2/77" }, { "q": "Calculate prob of picking 1 r and 4 w when five letters picked without replacement from {r: 4, a: 5, w: 6}.", "a": "20/1001" }, { "q": "Five letters picked without replacement from lllljl. What is prob of picking 5 l?", "a": "1/6" }, { "q": "Calculate prob of picking 2 x and 3 a when five letters picked without replacement from {a: 5, x: 3, y: 1}.", "a": "5/21" }, { "q": "Five letters picked without replacement from {b: 6, k: 4, c: 1}. Give prob of picking 1 b and 4 k.", "a": "1/77" }, { "q": "Five letters picked without replacement from {q: 6, b: 5}. What is prob of picking 4 q and 1 b?", "a": "25/154" }, { "q": "What is prob of picking 4 r and 1 t when five letters picked without replacement from ylrlrrfrrrfrtfrttylr?", "a": "63/2584" }, { "q": "What is prob of picking 1 n, 2 o, and 2 v when five letters picked without replacement from vvvvvqonvvoqnnvnnn?", "a": "1/51" }, { "q": "What is prob of picking 1 a, 3 r, and 1 v when five letters picked without replacement from rjjrrvab?", "a": "1/56" }, { "q": "Calculate prob of picking 4 f and 1 d when five letters picked without replacement from {f: 7, y: 1, u: 3, d: 3}.", "a": "15/286" }, { "q": "Calculate prob of picking 2 q, 1 h, 1 v, and 1 w when five letters picked without replacement from {n: 1, v: 6, w: 3, g: 1, q: 3, h: 1}.", "a": "18/1001" }, { "q": "What is prob of picking 2 d and 3 r when five letters picked without replacement from cdrcfdrrcfc?", "a": "1/462" }, { "q": "Calculate prob of picking 1 z and 4 u when five letters picked without replacement from uzzuzzuzzuuzzzuzzzz.", "a": "65/3876" }, { "q": "What is prob of picking 2 z, 1 v, 1 j, and 1 i when five letters picked without replacement from {m: 3, v: 1, z: 4, q: 2, j: 1, i: 2}?", "a": "4/429" }, { "q": "Five letters picked without replacement from {z: 2, t: 2, e: 3, d: 1, f: 1}. What is prob of picking 1 d, 1 f, 1 e, and 2 t?", "a": "1/42" }, { "q": "Five letters picked without replacement from aqqeqqiqqiq. What is prob of picking 1 i, 3 q, and 1 e?", "a": "5/33" }, { "q": "Calculate prob of picking 1 i, 2 n, 1 e, and 1 v when five letters picked without replacement from vveevnvvieevnpp.", "a": "8/1001" }, { "q": "Calculate prob of picking 1 b and 4 d when five letters picked without replacement from ddbbbdbbbbbdbbb.", "a": "1/273" }, { "q": "Five letters picked without replacement from tatnnnftp. Give prob of picking 2 t and 3 n.", "a": "1/42" }, { "q": "Five letters picked without replacement from ortkrhtk. What is prob of picking 1 t, 1 h, 2 r, and 1 k?", "a": "1/14" }, { "q": "What is prob of picking 1 a and 4 n when five letters picked without replacement from {n: 9, a: 3}?", "a": "21/44" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {m: 5, k: 9}?", "a": "1/2002" }, { "q": "Five letters picked without replacement from {t: 1, i: 1, b: 1, o: 1, l: 1, e: 1}. What is prob of picking 2 l, 2 t, and 1 o?", "a": "0" }, { "q": "What is prob of picking 1 i, 1 z, and 3 j when five letters picked without replacement from {z: 1, s: 1, i: 1, j: 3}?", "a": "1/6" }, { "q": "What is prob of picking 1 q, 2 b, 1 u, and 1 a when five letters picked without replacement from {u: 3, b: 3, a: 2, q: 9}?", "a": "81/3094" }, { "q": "Calculate prob of picking 2 n, 2 i, and 1 t when five letters picked without replacement from titftenietfnneiinit.", "a": "25/969" }, { "q": "Five letters picked without replacement from {o: 1, j: 3, a: 3, i: 1, t: 7}. What is prob of picking 1 o, 1 j, 1 t, and 2 a?", "a": "3/143" }, { "q": "Five letters picked without replacement from yaqagafayqfafylqaqf. What is prob of picking 1 q, 3 a, and 1 f?", "a": "80/2907" }, { "q": "Calculate prob of picking 2 e, 1 y, 1 r, and 1 h when five letters picked without replacement from {r: 2, e: 2, h: 4, y: 3}.", "a": "4/77" }, { "q": "What is prob of picking 4 g and 1 c when five letters picked without replacement from yygyyycygcygycygg?", "a": "15/6188" }, { "q": "What is prob of picking 2 x, 1 i, and 2 u when five letters picked without replacement from iiuuiiixuxuuuu?", "a": "15/286" }, { "q": "Five letters picked without replacement from {u: 3, s: 6, k: 7}. What is prob of picking 1 s, 2 k, and 2 u?", "a": "9/104" }, { "q": "Five letters picked without replacement from {d: 4, g: 8, h: 4, m: 1}. What is prob of picking 3 d and 2 h?", "a": "6/1547" }, { "q": "Five letters picked without replacement from {d: 3, c: 2, a: 4}. Give prob of picking 1 c and 4 a.", "a": "1/63" }, { "q": "Five letters picked without replacement from {u: 6, f: 8}. What is prob of picking 4 u and 1 f?", "a": "60/1001" }, { "q": "Five letters picked without replacement from virwiwwz. Give prob of picking 1 v, 2 r, and 2 z.", "a": "0" }, { "q": "Five letters picked without replacement from dojrddarjadja. What is prob of picking 4 d and 1 a?", "a": "1/429" }, { "q": "Five letters picked without replacement from aaaaagaraaaaaaaesaa. Give prob of picking 2 g, 1 a, and 2 e.", "a": "0" }, { "q": "Calculate prob of picking 2 k and 3 r when five letters picked without replacement from kkkkrkaakra.", "a": "0" }, { "q": "Calculate prob of picking 1 g, 1 v, 2 k, and 1 y when five letters picked without replacement from yvykrgrvkr.", "a": "1/63" }, { "q": "What is prob of picking 1 s, 2 n, 1 c, and 1 o when five letters picked without replacement from ssznnzscopnnc?", "a": "4/143" }, { "q": "Calculate prob of picking 2 u, 2 k, and 1 w when five letters picked without replacement from {k: 6, x: 1, w: 3, u: 8}.", "a": "5/34" }, { "q": "Five letters picked without replacement from wwwhwhwhhhwwhhwhh. Give prob of picking 5 h.", "a": "9/442" }, { "q": "Five letters picked without replacement from {o: 3, v: 4, j: 1, d: 5}. Give prob of picking 5 d.", "a": "1/1287" }, { "q": "Calculate prob of picking 1 k and 4 n when five letters picked without replacement from {s: 4, k: 2, n: 4, x: 3}.", "a": "2/1287" }, { "q": "What is prob of picking 4 q and 1 p when five letters picked without replacement from {q: 7, p: 3}?", "a": "5/12" }, { "q": "What is prob of picking 4 z and 1 r when five letters picked without replacement from {z: 9, m: 1, r: 4, g: 1}?", "a": "24/143" }, { "q": "Five letters picked without replacement from {l: 2, d: 1, i: 2, y: 3}. What is prob of picking 1 l, 2 i, and 2 y?", "a": "3/28" }, { "q": "Five letters picked without replacement from {x: 5, w: 9, v: 2}. Give prob of picking 1 w and 4 x.", "a": "15/1456" }, { "q": "Five letters picked without replacement from sfiqiqsqffvyisqvsfi. Give prob of picking 1 v, 1 i, 1 s, and 2 q.", "a": "16/969" }, { "q": "Calculate prob of picking 1 p, 1 l, and 3 a when five letters picked without replacement from apaaaml.", "a": "4/21" }, { "q": "Five letters picked without replacement from qtgggnqtgtn. Give prob of picking 1 g, 3 t, and 1 n.", "a": "4/231" }, { "q": "Five letters picked without replacement from {b: 9, j: 2, x: 4}. Give prob of picking 1 b, 1 j, and 3 x.", "a": "24/1001" }, { "q": "Five letters picked without replacement from qhwqhqquhuqqqqqqhqqw. Give prob of picking 1 w and 4 h.", "a": "1/7752" }, { "q": "Five letters picked without replacement from {l: 7, c: 5}. What is prob of picking 3 l and 2 c?", "a": "175/396" }, { "q": "Five letters picked without replacement from {s: 1, l: 4, c: 2, i: 1, j: 1}. What is prob of picking 1 j, 3 l, and 1 i?", "a": "2/63" }, { "q": "What is prob of picking 1 i, 1 c, 2 b, and 1 p when five letters picked without replacement from bmbbbmbmbbbbcpib?", "a": "15/1456" }, { "q": "What is prob of picking 3 w and 2 e when five letters picked without replacement from ceeccccceceeeeecccw?", "a": "0" }, { "q": "What is prob of picking 3 s, 1 y, and 1 b when five letters picked without replacement from {s: 3, y: 2, b: 2}?", "a": "4/21" }, { "q": "Five letters picked without replacement from xyahg. What is prob of picking 1 x, 2 y, and 2 h?", "a": "0" }, { "q": "Five letters picked without replacement from {f: 6, i: 1, b: 1, w: 7, n: 3, m: 2}. Give prob of picking 3 w, 1 m, and 1 i.", "a": "35/7752" }, { "q": "Five letters picked without replacement from mmmmmmmmyy. Give prob of picking 3 m and 2 y.", "a": "2/9" }, { "q": "Five letters picked without replacement from {w: 4, d: 1, r: 1, z: 1, p: 3, g: 2}. Give prob of picking 2 g and 3 p.", "a": "1/792" }, { "q": "Calculate prob of picking 2 k and 3 x when five letters picked without replacement from kkggxxxkkkkkkkkxggkg.", "a": "55/3876" }, { "q": "Calculate prob of picking 2 z and 3 i when five letters picked without replacement from {e: 2, i: 3, z: 3, b: 7}.", "a": "1/1001" }, { "q": "Five letters picked without replacement from bzzbzzxzzbzzbzzbzz. What is prob of picking 2 b, 2 z, and 1 x?", "a": "55/714" }, { "q": "What is prob of picking 1 d, 2 w, and 2 b when five letters picked without replacement from {w: 5, c: 1, b: 9, d: 1}?", "a": "15/182" }, { "q": "What is prob of picking 2 t and 3 l when five letters picked without replacement from wltltwlliwllllwi?", "a": "1/78" }, { "q": "Five letters picked without replacement from {r: 1, n: 4, q: 8, i: 2, u: 1, x: 3}. Give prob of picking 2 q, 1 n, 1 i, and 1 r.", "a": "56/2907" }, { "q": "What is prob of picking 2 f and 3 v when five letters picked without replacement from xfxvvfxvfx?", "a": "1/84" }, { "q": "What is prob of picking 1 c, 2 z, 1 i, and 1 d when five letters picked without replacement from {c: 1, m: 1, z: 4, j: 1, i: 3, d: 3}?", "a": "6/143" }, { "q": "Five letters picked without replacement from mbzsovb. What is prob of picking 1 o, 1 z, 2 b, and 1 m?", "a": "1/21" }, { "q": "What is prob of picking 2 n and 3 e when five letters picked without replacement from {n: 3, v: 3, c: 4, e: 5}?", "a": "10/1001" }, { "q": "What is prob of picking 4 r and 1 q when five letters picked without replacement from {q: 11, r: 8}?", "a": "385/5814" }, { "q": "Five letters picked without replacement from {x: 2, f: 1, c: 5, n: 7, y: 3, q: 1}. Give prob of picking 1 y, 3 n, and 1 x.", "a": "35/1938" }, { "q": "Five letters picked without replacement from {n: 4, v: 2, o: 8}. Give prob of picking 4 n and 1 v.", "a": "1/1001" }, { "q": "Calculate prob of picking 1 n and 4 v when five letters picked without replacement from vnnvvvnnvvvnvvvv.", "a": "275/728" }, { "q": "Five letters picked without replacement from tttwwttttwwwt. Give prob of picking 4 w and 1 t.", "a": "40/1287" }, { "q": "Five letters picked without replacement from {y: 3, x: 1, u: 2, l: 1, v: 2, q: 5}. Give prob of picking 2 y, 1 u, and 2 v.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {k: 1, e: 9, v: 2}. What is prob of picking 3 e, 1 v, and 1 k?", "a": "7/33" }, { "q": "Five letters picked without replacement from ogkkkggkgkkgkg. What is prob of picking 4 g and 1 k?", "a": "15/286" }, { "q": "Calculate prob of picking 1 n, 3 l, and 1 t when five letters picked without replacement from ltlnnttlntttttlnttn.", "a": "50/2907" }, { "q": "Calculate prob of picking 2 x, 1 b, 1 l, and 1 d when five letters picked without replacement from {d: 3, b: 3, x: 3, l: 2}.", "a": "9/77" }, { "q": "Five letters picked without replacement from {x: 5, u: 7}. What is prob of picking 2 u and 3 x?", "a": "35/132" }, { "q": "Five letters picked without replacement from mmmvmvkvvvmmawv. Give prob of picking 1 v, 1 a, 1 w, 1 k, and 1 m.", "a": "12/1001" }, { "q": "Five letters picked without replacement from {d: 2, z: 3, c: 1, b: 1}. Give prob of picking 3 z, 1 b, and 1 c.", "a": "1/21" }, { "q": "Five letters picked without replacement from dadddd. What is prob of picking 5 d?", "a": "1/6" }, { "q": "Five letters picked without replacement from {t: 1, j: 4, a: 2}. Give prob of picking 3 j and 2 a.", "a": "4/21" }, { "q": "Calculate prob of picking 4 n and 1 l when five letters picked without replacement from nnnnuluuuuuuuu.", "a": "1/2002" }, { "q": "Five letters picked without replacement from vnvvvvv. Give prob of picking 5 v.", "a": "2/7" }, { "q": "What is prob of picking 1 i, 1 c, and 3 p when five letters picked without replacement from {m: 3, c: 3, x: 3, i: 1, p: 3}?", "a": "1/429" }, { "q": "Calculate prob of picking 1 c, 1 v, 2 a, and 1 r when five letters picked without replacement from veacrlavr.", "a": "2/63" }, { "q": "What is prob of picking 1 i, 2 j, and 2 r when five letters picked without replacement from rijirzrzjzzjigzzizig?", "a": "15/5168" }, { "q": "Calculate prob of picking 1 h, 1 i, and 3 q when five letters picked without replacement from {q: 3, p: 1, e: 2, h: 1, w: 7, i: 2}.", "a": "1/2184" }, { "q": "Calculate prob of picking 1 z, 2 p, and 2 r when five letters picked without replacement from {z: 1, p: 6, r: 3, l: 1, a: 2, y: 1}.", "a": "45/2002" }, { "q": "Five letters picked without replacement from lllllxpxlxxlplp. Give prob of picking 4 x and 1 l.", "a": "8/3003" }, { "q": "Calculate prob of picking 1 q and 4 s when five letters picked without replacement from {s: 15, q: 1}.", "a": "5/16" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from tttttssbtxtttbxsbbst?", "a": "21/1292" }, { "q": "Five letters picked without replacement from vkvvkkkvv. Give prob of picking 5 v.", "a": "1/126" }, { "q": "Five letters picked without replacement from {q: 3, f: 5}. Give prob of picking 5 f.", "a": "1/56" }, { "q": "Five letters picked without replacement from gggggggg. What is prob of picking 5 g?", "a": "1" }, { "q": "Five letters picked without replacement from wsswwvwsrrusrprwpw. What is prob of picking 4 w and 1 r?", "a": "5/714" }, { "q": "Five letters picked without replacement from werwwdcwdedrwrcc. Give prob of picking 1 w, 2 r, and 2 c.", "a": "15/1456" }, { "q": "What is prob of picking 1 l, 1 x, and 3 t when five letters picked without replacement from {r: 1, y: 2, x: 2, l: 2, t: 3}?", "a": "1/63" }, { "q": "Five letters picked without replacement from {k: 2, y: 9, g: 1}. What is prob of picking 1 k, 1 g, and 3 y?", "a": "7/33" }, { "q": "Five letters picked without replacement from wsdadrsaaa. What is prob of picking 3 a and 2 d?", "a": "1/63" }, { "q": "What is prob of picking 1 g, 3 f, and 1 w when five letters picked without replacement from {p: 3, g: 1, w: 1, f: 4}?", "a": "2/63" }, { "q": "Five letters picked without replacement from {x: 3, b: 12}. What is prob of picking 4 b and 1 x?", "a": "45/91" }, { "q": "Five letters picked without replacement from eohukkhvkhov. Give prob of picking 1 v, 2 h, and 2 o.", "a": "1/132" }, { "q": "Calculate prob of picking 1 u and 4 b when five letters picked without replacement from ubbbuuubuuubuuubuu.", "a": "5/238" }, { "q": "Calculate prob of picking 4 v and 1 s when five letters picked without replacement from vvvvvvsvvvvsvvsss.", "a": "2475/6188" }, { "q": "Calculate prob of picking 2 o and 3 v when five letters picked without replacement from vvvvvvvvoov.", "a": "2/11" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from aaafaaaaafaaffaaf?", "a": "1/6188" }, { "q": "What is prob of picking 1 y, 1 c, 1 e, and 2 v when five letters picked without replacement from {p: 1, e: 1, v: 7, c: 5, y: 1}?", "a": "5/143" }, { "q": "Five letters picked without replacement from llcjjlkkldkl. What is prob of picking 2 l, 1 d, and 2 c?", "a": "0" }, { "q": "Five letters picked without replacement from {j: 6, c: 8}. What is prob of picking 1 j and 4 c?", "a": "30/143" }, { "q": "Calculate prob of picking 3 c and 2 y when five letters picked without replacement from {j: 5, y: 6, c: 5, s: 1}.", "a": "75/3094" }, { "q": "Calculate prob of picking 1 k, 3 m, and 1 a when five letters picked without replacement from {m: 5, k: 12, a: 1}.", "a": "5/357" }, { "q": "Five letters picked without replacement from alllallaaaaalaalaala. What is prob of picking 1 l and 4 a?", "a": "165/646" }, { "q": "Five letters picked without replacement from {i: 9, e: 10}. What is prob of picking 4 i and 1 e?", "a": "35/323" }, { "q": "What is prob of picking 4 t and 1 y when five letters picked without replacement from {y: 2, t: 14}?", "a": "11/24" }, { "q": "Five letters picked without replacement from oxooobbxbxlooxox. What is prob of picking 1 b and 4 x?", "a": "5/1456" }, { "q": "Calculate prob of picking 2 r and 3 u when five letters picked without replacement from kkkkkrurrkrrkuukkkk.", "a": "5/5814" }, { "q": "Five letters picked without replacement from {z: 2, m: 1, i: 3, s: 1}. Give prob of picking 3 i, 1 s, and 1 z.", "a": "2/21" }, { "q": "Calculate prob of picking 1 q, 2 v, 1 h, and 1 u when five letters picked without replacement from nhqvcqvvuvn.", "a": "2/77" }, { "q": "Five letters picked without replacement from {i: 7, d: 3, z: 2, f: 2}. Give prob of picking 2 d and 3 f.", "a": "0" }, { "q": "Calculate prob of picking 2 o, 1 b, 1 n, and 1 s when five letters picked without replacement from sosbnosbo.", "a": "1/7" }, { "q": "Calculate prob of picking 3 z and 2 y when five letters picked without replacement from {s: 4, y: 3, z: 4}.", "a": "2/77" }, { "q": "What is prob of picking 2 t, 2 p, and 1 j when five letters picked without replacement from pbbccjbatptpbtbajbbb?", "a": "3/2584" }, { "q": "Calculate prob of picking 1 n and 4 x when five letters picked without replacement from xxxxxxxxxnxxxxxxxx.", "a": "5/18" }, { "q": "What is prob of picking 1 r, 2 a, 1 t, and 1 y when five letters picked without replacement from yyytxfrtfryaryxa?", "a": "5/728" }, { "q": "Five letters picked without replacement from {v: 4, x: 4, m: 5}. What is prob of picking 3 m and 2 v?", "a": "20/429" }, { "q": "What is prob of picking 1 f and 4 q when five letters picked without replacement from {f: 4, q: 8}?", "a": "35/99" }, { "q": "Five letters picked without replacement from {f: 4, v: 3, r: 1, d: 2}. What is prob of picking 2 d and 3 f?", "a": "1/63" }, { "q": "What is prob of picking 1 c, 2 l, and 2 o when five letters picked without replacement from {c: 3, l: 3, j: 1, r: 2, o: 4, k: 3}?", "a": "9/728" }, { "q": "Calculate prob of picking 1 x, 2 q, 1 t, and 1 l when five letters picked without replacement from {l: 1, a: 7, t: 2, x: 3, s: 1, q: 3}.", "a": "9/3094" }, { "q": "What is prob of picking 3 e and 2 y when five letters picked without replacement from eyeeeyeeeeye?", "a": "7/22" }, { "q": "Five letters picked without replacement from {d: 4, k: 8}. Give prob of picking 5 k.", "a": "7/99" }, { "q": "Five letters picked without replacement from kllraalarlrlalka. Give prob of picking 2 k, 2 a, and 1 l.", "a": "5/364" }, { "q": "What is prob of picking 4 k and 1 z when five letters picked without replacement from kzkkkkzkkz?", "a": "5/12" }, { "q": "Calculate prob of picking 1 n, 1 g, and 3 l when five letters picked without replacement from {o: 3, g: 1, r: 6, l: 4, n: 1}.", "a": "4/3003" }, { "q": "Calculate prob of picking 1 j and 4 w when five letters picked without replacement from {w: 1, j: 3, n: 1}.", "a": "0" }, { "q": "What is prob of picking 1 m, 1 w, 2 s, and 1 c when five letters picked without replacement from {w: 2, m: 1, s: 4, c: 5}?", "a": "5/66" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from ooooogooogogollllo.", "a": "11/204" }, { "q": "Five letters picked without replacement from aattwatwtwawa. What is prob of picking 2 a and 3 t?", "a": "40/1287" }, { "q": "What is prob of picking 2 d and 3 u when five letters picked without replacement from uouodudoddouudououuu?", "a": "35/646" }, { "q": "Five letters picked without replacement from {x: 2, e: 10, g: 1, l: 7}. Give prob of picking 1 e, 3 l, and 1 x.", "a": "175/3876" }, { "q": "Calculate prob of picking 3 k, 1 v, and 1 y when five letters picked without replacement from yyskkvkkkksykkv.", "a": "16/143" }, { "q": "What is prob of picking 3 p and 2 f when five letters picked without replacement from {f: 2, u: 11, p: 6}?", "a": "5/2907" }, { "q": "Five letters picked without replacement from chhdchdchhkkcccdc. Give prob of picking 1 h, 1 k, 1 c, and 2 d.", "a": "15/442" }, { "q": "What is prob of picking 1 l, 3 h, and 1 d when five letters picked without replacement from dddldddddhddhdlh?", "a": "11/2184" }, { "q": "What is prob of picking 1 v and 4 b when five letters picked without replacement from {b: 13, q: 1, v: 3}?", "a": "165/476" }, { "q": "Calculate prob of picking 2 s, 1 d, 1 a, and 1 x when five letters picked without replacement from dgssgshxdgsa.", "a": "1/66" }, { "q": "What is prob of picking 1 o, 3 b, and 1 g when five letters picked without replacement from {g: 3, o: 4, b: 3}?", "a": "1/21" }, { "q": "Five letters picked without replacement from rjjzzz. What is prob of picking 1 j, 3 z, and 1 r?", "a": "1/3" }, { "q": "What is prob of picking 2 z, 1 f, 1 t, and 1 d when five letters picked without replacement from zeztfszzzzzfdz?", "a": "4/143" }, { "q": "Five letters picked without replacement from {o: 4, y: 1, g: 2, p: 1, c: 1}. What is prob of picking 2 o, 1 p, 1 c, and 1 y?", "a": "1/21" }, { "q": "What is prob of picking 3 d and 2 o when five letters picked without replacement from odoodooodo?", "a": "1/12" }, { "q": "Calculate prob of picking 4 x and 1 f when five letters picked without replacement from {x: 4, j: 4, d: 7, f: 1}.", "a": "1/4368" }, { "q": "Five letters picked without replacement from rzbbzzzbbzbzbb. Give prob of picking 4 z and 1 r.", "a": "15/2002" }, { "q": "What is prob of picking 2 p, 2 y, and 1 v when five letters picked without replacement from vyruprppyp?", "a": "1/42" }, { "q": "Five letters picked without replacement from ubyqtyyryryrbtyty. What is prob of picking 1 u, 1 t, 2 b, and 1 r?", "a": "9/6188" }, { "q": "What is prob of picking 1 d, 2 b, and 2 u when five letters picked without replacement from {d: 3, l: 3, o: 2, b: 3, u: 3, e: 2}?", "a": "9/1456" }, { "q": "Five letters picked without replacement from dvvvvvdvvvvvv. Give prob of picking 1 d and 4 v.", "a": "20/39" }, { "q": "Five letters picked without replacement from vvqrjejejje. What is prob of picking 1 q, 1 j, 1 e, and 2 v?", "a": "2/77" }, { "q": "What is prob of picking 3 z and 2 h when five letters picked without replacement from {s: 2, a: 3, t: 3, h: 4, z: 6}?", "a": "5/357" }, { "q": "Calculate prob of picking 2 j, 1 d, 1 r, and 1 x when five letters picked without replacement from {x: 1, y: 3, i: 3, d: 7, r: 3, j: 3}.", "a": "21/5168" }, { "q": "Five letters picked without replacement from {h: 6, v: 5}. Give prob of picking 5 h.", "a": "1/77" }, { "q": "Five letters picked without replacement from {t: 1, p: 1, j: 2, n: 5, b: 3, m: 1}. What is prob of picking 1 j, 1 b, 1 t, 1 n, and 1 m?", "a": "10/429" }, { "q": "What is prob of picking 3 t and 2 s when five letters picked without replacement from {v: 5, t: 5, s: 6, m: 2}?", "a": "25/1428" }, { "q": "What is prob of picking 1 b and 4 k when five letters picked without replacement from {b: 3, k: 4, m: 6}?", "a": "1/429" }, { "q": "Five letters picked without replacement from ggppoggggoop. Give prob of picking 2 g, 1 o, and 2 p.", "a": "15/88" }, { "q": "Five letters picked without replacement from ppqpvqppppjpvpvqpjqp. What is prob of picking 1 p, 1 j, 2 v, and 1 q?", "a": "11/646" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from iiiiiitt?", "a": "3/28" }, { "q": "Calculate prob of picking 1 i, 1 h, 2 s, and 1 t when five letters picked without replacement from {v: 1, i: 6, h: 2, s: 4, x: 4, t: 3}.", "a": "9/646" }, { "q": "Five letters picked without replacement from pnnneneppveneese. Give prob of picking 2 e, 1 s, and 2 n.", "a": "25/728" }, { "q": "Calculate prob of picking 1 v, 2 s, and 2 p when five letters picked without replacement from {s: 4, k: 6, v: 3, m: 1, p: 5}.", "a": "5/323" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {r: 7, z: 12}.", "a": "7/3876" }, { "q": "Five letters picked without replacement from {g: 1, t: 1, l: 5, p: 3, a: 2, d: 4}. What is prob of picking 1 a, 1 d, 2 l, and 1 p?", "a": "5/91" }, { "q": "Five letters picked without replacement from {y: 1, m: 2, h: 3, j: 4, d: 6}. What is prob of picking 1 y, 2 j, 1 d, and 1 h?", "a": "9/364" }, { "q": "What is prob of picking 3 m, 1 b, and 1 j when five letters picked without replacement from {j: 1, m: 5, b: 1, p: 1, t: 1}?", "a": "5/63" }, { "q": "What is prob of picking 1 g, 2 l, 1 t, and 1 x when five letters picked without replacement from lgxltlxltggtgglltgxl?", "a": "63/646" }, { "q": "Calculate prob of picking 3 a and 2 h when five letters picked without replacement from {h: 7, a: 6, q: 2, s: 1}.", "a": "5/52" }, { "q": "Five letters picked without replacement from {x: 4, t: 9}. Give prob of picking 1 x and 4 t.", "a": "56/143" }, { "q": "Five letters picked without replacement from {b: 1, s: 7}. Give prob of picking 4 s and 1 b.", "a": "5/8" }, { "q": "Five letters picked without replacement from lldvll. Give prob of picking 4 d and 1 v.", "a": "0" }, { "q": "What is prob of picking 1 z, 3 e, and 1 g when five letters picked without replacement from {m: 1, e: 5, y: 1, d: 2, z: 6, g: 2}?", "a": "30/1547" }, { "q": "What is prob of picking 2 p, 2 y, and 1 x when five letters picked without replacement from {v: 2, d: 3, x: 1, p: 2, y: 4}?", "a": "1/132" }, { "q": "What is prob of picking 1 j, 3 a, and 1 e when five letters picked without replacement from aaaajaaaaaajeaaajjj?", "a": "715/5814" }, { "q": "Five letters picked without replacement from {l: 4, k: 10, c: 1, a: 1, b: 1, x: 2}. What is prob of picking 1 a, 2 k, and 2 l?", "a": "15/646" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {y: 8, l: 8}.", "a": "1/78" }, { "q": "Five letters picked without replacement from epoepeofqpqoof. Give prob of picking 1 e, 1 p, and 3 o.", "a": "18/1001" }, { "q": "Five letters picked without replacement from {h: 3, t: 5, y: 1}. What is prob of picking 5 h?", "a": "0" }, { "q": "Five letters picked without replacement from luiklwltttkklut. Give prob of picking 3 k and 2 t.", "a": "2/1001" }, { "q": "Five letters picked without replacement from {h: 4, k: 7, c: 2, m: 2, u: 2}. Give prob of picking 3 k and 2 m.", "a": "5/884" }, { "q": "Five letters picked without replacement from {v: 2, u: 15, n: 3}. What is prob of picking 2 v and 3 n?", "a": "1/15504" }, { "q": "Five letters picked without replacement from {a: 6, p: 10}. Give prob of picking 5 p.", "a": "3/52" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {n: 6, f: 1, d: 4, x: 1}.", "a": "1/132" }, { "q": "What is prob of picking 1 c and 4 d when five letters picked without replacement from dcccdcddcc?", "a": "1/42" }, { "q": "Five letters picked without replacement from fmfoqffffoxxoyx. Give prob of picking 1 q, 1 y, and 3 f.", "a": "20/3003" }, { "q": "What is prob of picking 2 l, 1 b, and 2 i when five letters picked without replacement from liliiribipphi?", "a": "5/429" }, { "q": "Five letters picked without replacement from {i: 15, d: 2, y: 2}. What is prob of picking 2 d and 3 i?", "a": "455/11628" }, { "q": "Five letters picked without replacement from ieiieqiqieriqbbie. Give prob of picking 3 i and 2 b.", "a": "5/884" }, { "q": "Five letters picked without replacement from {g: 6, q: 2, u: 2, l: 6, i: 1}. What is prob of picking 1 q, 2 g, and 2 u?", "a": "15/3094" }, { "q": "Five letters picked without replacement from {g: 16, w: 4}. What is prob of picking 2 g and 3 w?", "a": "10/323" }, { "q": "Five letters picked without replacement from immmimiiimm. Give prob of picking 1 m and 4 i.", "a": "5/77" }, { "q": "Five letters picked without replacement from jbxjcjbbx. Give prob of picking 1 x, 1 j, and 3 b.", "a": "1/21" }, { "q": "What is prob of picking 2 n, 2 o, and 1 l when five letters picked without replacement from {n: 13, o: 2, l: 1, r: 1, g: 1}?", "a": "13/1428" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from aaaaaaaaaa.", "a": "1" }, { "q": "What is prob of picking 1 o, 2 s, 1 h, and 1 d when five letters picked without replacement from {w: 2, o: 1, d: 1, h: 1, s: 2}?", "a": "1/21" }, { "q": "Five letters picked without replacement from bjugujvuuujqvuv. Give prob of picking 1 j, 2 v, 1 b, and 1 u.", "a": "18/1001" }, { "q": "Five letters picked without replacement from {x: 1, u: 5, n: 5, i: 4, r: 1, w: 2}. Give prob of picking 1 r, 1 u, 1 n, 1 x, and 1 i.", "a": "25/2142" }, { "q": "Five letters picked without replacement from {f: 8, v: 2, l: 3, d: 4}. What is prob of picking 2 d, 1 v, and 2 l?", "a": "9/1547" }, { "q": "Five letters picked without replacement from wfllllllwl. Give prob of picking 3 l, 1 w, and 1 f.", "a": "5/18" }, { "q": "What is prob of picking 2 r, 2 h, and 1 d when five letters picked without replacement from rddhdrhdrr?", "a": "2/21" }, { "q": "Five letters picked without replacement from ewpwwpwpjjwwjjw. What is prob of picking 3 p, 1 j, and 1 e?", "a": "4/3003" }, { "q": "Five letters picked without replacement from dkrkdrrkkdkkkkkr. Give prob of picking 2 k and 3 r.", "a": "3/91" }, { "q": "Five letters picked without replacement from tbbbbbfftfbbbf. Give prob of picking 1 t and 4 b.", "a": "10/143" }, { "q": "Calculate prob of picking 3 l, 1 t, and 1 o when five letters picked without replacement from {l: 10, t: 3, o: 7}.", "a": "105/646" }, { "q": "Five letters picked without replacement from lxooxoxxxololxolll. Give prob of picking 1 l, 2 x, and 2 o.", "a": "75/476" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from rrrtrrtrrrrtrtt?", "a": "12/143" }, { "q": "Five letters picked without replacement from {r: 5, q: 3, n: 11}. Give prob of picking 1 q, 1 r, and 3 n.", "a": "275/1292" }, { "q": "Five letters picked without replacement from {n: 3, p: 4, l: 4, f: 4, m: 2}. Give prob of picking 1 l, 1 m, and 3 p.", "a": "8/1547" }, { "q": "What is prob of picking 2 j, 1 i, and 2 k when five letters picked without replacement from {j: 1, f: 4, k: 1, z: 2, g: 1, i: 3}?", "a": "0" }, { "q": "Five letters picked without replacement from ppyppppppppp. What is prob of picking 5 p?", "a": "7/12" }, { "q": "Five letters picked without replacement from avovqqoqovsvsoqvvq. Give prob of picking 1 s and 4 v.", "a": "5/1428" }, { "q": "Calculate prob of picking 1 l, 1 h, and 3 r when five letters picked without replacement from {r: 3, h: 5, l: 2}.", "a": "5/126" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from {z: 4, p: 3}.", "a": "0" }, { "q": "Five letters picked without replacement from iiyiqyyiiiyyyyii. What is prob of picking 4 i and 1 y?", "a": "35/312" }, { "q": "Five letters picked without replacement from nhtiihhnin. Give prob of picking 1 n, 1 h, and 3 i.", "a": "1/28" }, { "q": "Five letters picked without replacement from frrfffff. What is prob of picking 3 f and 2 r?", "a": "5/14" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {p: 10, x: 5}.", "a": "12/143" }, { "q": "Five letters picked without replacement from {z: 6, i: 10}. Give prob of picking 1 i and 4 z.", "a": "25/728" }, { "q": "Calculate prob of picking 3 g and 2 j when five letters picked without replacement from hjghggghggjghgh.", "a": "8/429" }, { "q": "Five letters picked without replacement from {y: 5, k: 10, c: 5}. What is prob of picking 5 y?", "a": "1/15504" }, { "q": "What is prob of picking 1 b, 3 s, and 1 v when five letters picked without replacement from {x: 6, s: 4, n: 3, v: 2, u: 2, b: 2}?", "a": "4/2907" }, { "q": "Five letters picked without replacement from {x: 4, f: 1, w: 1}. Give prob of picking 1 w and 4 x.", "a": "1/6" }, { "q": "Five letters picked without replacement from {r: 1, d: 1, u: 1, g: 7, h: 4}. What is prob of picking 2 g, 2 h, and 1 d?", "a": "9/143" }, { "q": "Calculate prob of picking 3 k and 2 g when five letters picked without replacement from hkgbhagk.", "a": "0" }, { "q": "Calculate prob of picking 4 j and 1 y when five letters picked without replacement from erfferjrffyrjejrrjr.", "a": "1/11628" }, { "q": "What is prob of picking 3 b and 2 h when five letters picked without replacement from bbbbbhbhbbbbbhbbh?", "a": "33/119" }, { "q": "Five letters picked without replacement from uuufuuuuufuf. Give prob of picking 2 u and 3 f.", "a": "1/22" }, { "q": "Five letters picked without replacement from {c: 6, y: 3, p: 9}. Give prob of picking 3 c and 2 p.", "a": "10/119" }, { "q": "What is prob of picking 4 q and 1 z when five letters picked without replacement from qqzzqzzzzzzqqzz?", "a": "50/3003" }, { "q": "Five letters picked without replacement from {e: 2, u: 1, v: 1, s: 4, c: 1, k: 1}. Give prob of picking 1 k, 1 e, 1 u, 1 s, and 1 c.", "a": "2/63" }, { "q": "Five letters picked without replacement from {c: 5, q: 1, p: 4}. Give prob of picking 1 q, 3 p, and 1 c.", "a": "5/63" }, { "q": "Five letters picked without replacement from kklkqykyqyxvyvyqlkky. Give prob of picking 3 y, 1 k, and 1 x.", "a": "5/646" }, { "q": "Five letters picked without replacement from {r: 3, k: 3, f: 4, h: 1}. What is prob of picking 3 k and 2 f?", "a": "1/77" }, { "q": "Five letters picked without replacement from {w: 6, m: 2, a: 1}. Give prob of picking 2 a and 3 w.", "a": "0" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from {u: 7, t: 10}.", "a": "9/221" }, { "q": "Five letters picked without replacement from fmkbfnnsm. Give prob of picking 1 b, 1 f, 2 n, and 1 s.", "a": "1/63" }, { "q": "Five letters picked without replacement from ddzzdzzddzzddz. Give prob of picking 1 d and 4 z.", "a": "35/286" }, { "q": "What is prob of picking 3 z and 2 o when five letters picked without replacement from {x: 6, z: 3, k: 1, j: 3, o: 2}?", "a": "1/3003" }, { "q": "What is prob of picking 2 c and 3 h when five letters picked without replacement from {h: 1, v: 1, c: 1, w: 1, a: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from qtqttqtqttqqttttqqq. What is prob of picking 3 q and 2 t?", "a": "105/323" }, { "q": "Five letters picked without replacement from {c: 7, j: 4}. What is prob of picking 5 c?", "a": "1/22" }, { "q": "What is prob of picking 1 h and 4 c when five letters picked without replacement from hckcjcc?", "a": "1/21" }, { "q": "Five letters picked without replacement from xmmmxmxxxxxxxm. What is prob of picking 4 x and 1 m?", "a": "45/143" }, { "q": "What is prob of picking 2 o, 1 t, and 2 x when five letters picked without replacement from {t: 1, o: 3, p: 10, x: 4}?", "a": "1/476" }, { "q": "Five letters picked without replacement from qxcvvxvvvvavxv. Give prob of picking 3 v, 1 a, and 1 x.", "a": "12/143" }, { "q": "What is prob of picking 3 l and 2 j when five letters picked without replacement from {j: 2, l: 8}?", "a": "2/9" }, { "q": "Five letters picked without replacement from rbrbbbbryzrrbybbrzb. What is prob of picking 2 b, 1 r, and 2 z?", "a": "6/323" }, { "q": "Five letters picked without replacement from eexxtxxxxxxexex. What is prob of picking 2 e and 3 x?", "a": "240/1001" }, { "q": "What is prob of picking 2 l and 3 g when five letters picked without replacement from {u: 11, g: 4, l: 5}?", "a": "5/1938" }, { "q": "Five letters picked without replacement from szssusvzwsvvvuzuhzs. What is prob of picking 2 u, 2 z, and 1 s?", "a": "3/323" }, { "q": "Five letters picked without replacement from {n: 4, u: 11}. Give prob of picking 1 n and 4 u.", "a": "40/91" }, { "q": "What is prob of picking 1 q, 2 b, and 2 m when five letters picked without replacement from {f: 4, m: 7, q: 5, b: 2, a: 1, r: 1}?", "a": "35/5168" }, { "q": "What is prob of picking 2 a, 1 y, and 2 z when five letters picked without replacement from zyzaayzyyaazayzy?", "a": "25/182" }, { "q": "Five letters picked without replacement from rrrrrhrhrrrhrrhhrhrr. Give prob of picking 4 r and 1 h.", "a": "1001/2584" }, { "q": "Five letters picked without replacement from {w: 2, o: 1, q: 1, r: 4, x: 2, u: 9}. Give prob of picking 1 q, 2 u, 1 x, and 1 w.", "a": "4/323" }, { "q": "Five letters picked without replacement from {w: 3, o: 2, f: 7, p: 7}. What is prob of picking 1 w, 2 f, and 2 p?", "a": "147/1292" }, { "q": "Five letters picked without replacement from eppeeep. Give prob of picking 2 p and 3 e.", "a": "4/7" }, { "q": "Five letters picked without replacement from {q: 2, t: 4, n: 4, s: 1, x: 8}. What is prob of picking 3 n, 1 t, and 1 s?", "a": "4/2907" }, { "q": "Five letters picked without replacement from {n: 8, p: 11, t: 1}. What is prob of picking 3 p, 1 n, and 1 t?", "a": "55/646" }, { "q": "Five letters picked without replacement from zddiizizzdz. What is prob of picking 2 z and 3 i?", "a": "5/231" }, { "q": "Calculate prob of picking 2 o and 3 h when five letters picked without replacement from hhoooohohooooohooooo.", "a": "175/2584" }, { "q": "Calculate prob of picking 3 t and 2 y when five letters picked without replacement from {p: 6, y: 9, t: 3}.", "a": "1/238" }, { "q": "What is prob of picking 3 d and 2 a when five letters picked without replacement from adadadadddaadaadada?", "a": "105/323" }, { "q": "Calculate prob of picking 2 m, 1 l, and 2 u when five letters picked without replacement from {u: 2, m: 3, l: 6, d: 5, z: 3}.", "a": "1/646" }, { "q": "Five letters picked without replacement from {b: 2, x: 7, q: 5, g: 5}. Give prob of picking 5 g.", "a": "1/11628" }, { "q": "Five letters picked without replacement from {u: 2, g: 3, t: 2, o: 3, r: 7}. Give prob of picking 1 g, 1 u, and 3 o.", "a": "3/3094" }, { "q": "Five letters picked without replacement from rrrnrnrdvldrndrzdn. What is prob of picking 1 n, 3 d, and 1 r?", "a": "2/153" }, { "q": "What is prob of picking 2 b, 2 a, and 1 i when five letters picked without replacement from ababbbbbbbiaabbbb?", "a": "99/1547" }, { "q": "Calculate prob of picking 2 f and 3 t when five letters picked without replacement from fffffkttfffftfftfff.", "a": "91/2907" }, { "q": "Five letters picked without replacement from wwrwrrwr. Give prob of picking 4 r and 1 w.", "a": "1/14" }, { "q": "Five letters picked without replacement from rdrddddrddd. What is prob of picking 2 r and 3 d?", "a": "4/11" }, { "q": "Five letters picked without replacement from {v: 4, c: 2, h: 7, u: 1}. Give prob of picking 3 h, 1 v, and 1 c.", "a": "20/143" }, { "q": "Five letters picked without replacement from esmsyssmwymmvsmws. What is prob of picking 1 e, 1 v, 2 s, and 1 y?", "a": "15/3094" }, { "q": "Five letters picked without replacement from eseocsooocswowcqq. What is prob of picking 1 q, 3 s, and 1 c?", "a": "3/3094" }, { "q": "What is prob of picking 1 l, 1 b, and 3 r when five letters picked without replacement from rljvrrbf?", "a": "1/56" }, { "q": "Five letters picked without replacement from {x: 1, y: 4, g: 2}. What is prob of picking 3 y and 2 g?", "a": "4/21" }, { "q": "Five letters picked without replacement from {m: 3, i: 4, y: 3, q: 2, b: 1}. What is prob of picking 1 q, 1 b, 2 y, and 1 m?", "a": "2/143" }, { "q": "What is prob of picking 2 e, 2 q, and 1 x when five letters picked without replacement from qxexexeqxxxqxexexe?", "a": "45/952" }, { "q": "What is prob of picking 1 y, 1 a, and 3 m when five letters picked without replacement from mamyamyyqyaa?", "a": "2/99" }, { "q": "Five letters picked without replacement from dvddvzvddddzd. What is prob of picking 3 d, 1 z, and 1 v?", "a": "112/429" }, { "q": "Calculate prob of picking 2 e and 3 j when five letters picked without replacement from {j: 6, e: 2, x: 5}.", "a": "20/1287" }, { "q": "Calculate prob of picking 2 u, 1 c, and 2 o when five letters picked without replacement from {u: 3, c: 5, o: 5}.", "a": "50/429" }, { "q": "Five letters picked without replacement from {c: 9}. What is prob of picking 5 c?", "a": "1" }, { "q": "Five letters picked without replacement from {f: 6, q: 7}. What is prob of picking 1 f and 4 q?", "a": "70/429" }, { "q": "What is prob of picking 2 m, 2 x, and 1 e when five letters picked without replacement from {o: 1, m: 2, x: 2, l: 12, e: 2}?", "a": "1/5814" }, { "q": "Calculate prob of picking 2 u, 2 w, and 1 o when five letters picked without replacement from vmvmuwowmumuovvvvum.", "a": "1/969" }, { "q": "Calculate prob of picking 1 c and 4 g when five letters picked without replacement from {c: 4, r: 1, g: 11}.", "a": "55/182" }, { "q": "What is prob of picking 4 j and 1 x when five letters picked without replacement from xxhjjhxxhjhjj?", "a": "20/1287" }, { "q": "Five letters picked without replacement from {k: 4, n: 2, x: 2, v: 2, s: 5, g: 3}. Give prob of picking 2 x, 2 g, and 1 v.", "a": "1/1428" }, { "q": "Five letters picked without replacement from {h: 5, q: 1, z: 4, p: 4}. What is prob of picking 3 z and 2 h?", "a": "20/1001" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from zzpzaazzhzhzhaphzhp?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {h: 7, b: 1, o: 1, z: 1, a: 9, g: 1}. What is prob of picking 4 a and 1 g?", "a": "21/2584" }, { "q": "Five letters picked without replacement from yisrirssrsyiws. Give prob of picking 2 s, 1 r, and 2 y.", "a": "15/1001" }, { "q": "Calculate prob of picking 1 m, 2 k, and 2 u when five letters picked without replacement from mmuuzkuwo.", "a": "0" }, { "q": "Calculate prob of picking 3 x and 2 o when five letters picked without replacement from oxooooxoooxoooxxoooo.", "a": "175/2584" }, { "q": "Five letters picked without replacement from qqctzzcmzczl. What is prob of picking 1 z, 1 q, 1 m, 1 l, and 1 c?", "a": "1/33" }, { "q": "Five letters picked without replacement from jxxxaw. What is prob of picking 1 j, 1 a, 1 w, and 2 x?", "a": "1/2" }, { "q": "What is prob of picking 3 r and 2 t when five letters picked without replacement from {r: 10, t: 3}?", "a": "40/143" }, { "q": "Five letters picked without replacement from {e: 8, g: 5}. Give prob of picking 3 g and 2 e.", "a": "280/1287" }, { "q": "What is prob of picking 3 l, 1 a, and 1 z when five letters picked without replacement from azlffdadfz?", "a": "0" }, { "q": "Five letters picked without replacement from {w: 6, u: 12}. What is prob of picking 2 w and 3 u?", "a": "275/714" }, { "q": "Five letters picked without replacement from {o: 4, a: 7, k: 5, x: 4}. Give prob of picking 3 a and 2 o.", "a": "35/2584" }, { "q": "Five letters picked without replacement from wwwwqwwqwwqwqwww. What is prob of picking 2 q and 3 w?", "a": "55/182" }, { "q": "Calculate prob of picking 2 f and 3 j when five letters picked without replacement from {c: 5, j: 3, k: 8, f: 2}.", "a": "1/8568" }, { "q": "What is prob of picking 2 v and 3 s when five letters picked without replacement from vsssoov?", "a": "1/21" }, { "q": "Five letters picked without replacement from {t: 9, k: 3, h: 4, f: 2, r: 1}. What is prob of picking 1 r, 2 t, and 2 k?", "a": "3/323" }, { "q": "Five letters picked without replacement from {o: 3, n: 6, v: 8}. Give prob of picking 2 v and 3 n.", "a": "20/221" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {n: 5, e: 7}?", "a": "7/264" }, { "q": "Five letters picked without replacement from hllhhhzhlllzzzbggl. Give prob of picking 1 h, 2 l, and 2 z.", "a": "25/476" }, { "q": "What is prob of picking 2 w and 3 t when five letters picked without replacement from {t: 7, s: 3, w: 10}?", "a": "525/5168" }, { "q": "Five letters picked without replacement from fbffeefufeeefdkk. Give prob of picking 1 e, 1 b, 2 k, and 1 d.", "a": "5/4368" }, { "q": "Five letters picked without replacement from zeatttzkazeztaettta. Give prob of picking 2 e, 1 a, 1 t, and 1 z.", "a": "28/969" }, { "q": "Five letters picked without replacement from {z: 3, g: 6, n: 2, u: 2}. Give prob of picking 4 g and 1 u.", "a": "10/429" }, { "q": "What is prob of picking 3 h, 1 n, and 1 r when five letters picked without replacement from {n: 3, a: 3, r: 2, p: 1, y: 1, h: 4}?", "a": "12/1001" }, { "q": "What is prob of picking 1 k, 2 n, and 2 h when five letters picked without replacement from {a: 2, k: 9, h: 5, n: 4}?", "a": "45/1292" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {v: 12, s: 8}?", "a": "7/1938" }, { "q": "Five letters picked without replacement from wwdwddddddddwdddwdd. What is prob of picking 5 w?", "a": "1/11628" }, { "q": "Five letters picked without replacement from kaoioyzkyai. What is prob of picking 2 a, 2 i, and 1 y?", "a": "1/231" }, { "q": "Calculate prob of picking 1 o, 1 j, 2 r, and 1 c when five letters picked without replacement from tortuotjcrc.", "a": "2/231" }, { "q": "Five letters picked without replacement from {j: 4, q: 3, x: 4}. What is prob of picking 4 x and 1 q?", "a": "1/154" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from ttggtggttttgt.", "a": "1/1287" }, { "q": "What is prob of picking 1 b, 1 a, 2 l, and 1 i when five letters picked without replacement from zhillhahbbbha?", "a": "2/429" }, { "q": "Calculate prob of picking 2 o, 2 p, and 1 y when five letters picked without replacement from {s: 1, a: 6, p: 3, o: 3, y: 4}.", "a": "9/1547" }, { "q": "Five letters picked without replacement from {u: 4, e: 1, r: 1, s: 2}. Give prob of picking 4 e and 1 r.", "a": "0" }, { "q": "Calculate prob of picking 1 i, 2 t, and 2 l when five letters picked without replacement from {l: 3, r: 4, t: 5, i: 3}.", "a": "30/1001" }, { "q": "What is prob of picking 1 q, 1 c, and 3 n when five letters picked without replacement from {c: 1, q: 3, w: 1, v: 2, l: 1, n: 3}?", "a": "1/154" }, { "q": "What is prob of picking 1 d and 4 j when five letters picked without replacement from {j: 9, d: 11}?", "a": "231/2584" }, { "q": "Five letters picked without replacement from tillzbzzl. What is prob of picking 1 b, 3 z, and 1 t?", "a": "1/126" }, { "q": "Five letters picked without replacement from {u: 3, q: 1, c: 2, d: 3, v: 1}. Give prob of picking 3 d, 1 q, and 1 u.", "a": "1/84" }, { "q": "Five letters picked without replacement from nnnynnnsyinnnsrnnr. What is prob of picking 1 n, 2 s, and 2 r?", "a": "11/8568" }, { "q": "What is prob of picking 4 r and 1 m when five letters picked without replacement from mryrmeryymr?", "a": "1/154" }, { "q": "Five letters picked without replacement from {l: 4, e: 3, w: 1, s: 2, u: 7, y: 2}. What is prob of picking 1 s, 1 w, 2 u, and 1 y?", "a": "7/969" }, { "q": "Five letters picked without replacement from {b: 3, c: 3, k: 3, e: 3, i: 2, d: 4}. Give prob of picking 2 d, 2 b, and 1 k.", "a": "3/476" }, { "q": "What is prob of picking 3 y and 2 s when five letters picked without replacement from {p: 3, s: 3, m: 1, t: 3, c: 1, y: 3}?", "a": "3/2002" }, { "q": "Five letters picked without replacement from {q: 7, u: 7}. Give prob of picking 1 q and 4 u.", "a": "35/286" }, { "q": "Five letters picked without replacement from ovoooodooddjj. Give prob of picking 3 o and 2 j.", "a": "35/1287" }, { "q": "Five letters picked without replacement from {p: 1, o: 6, t: 8, h: 4}. Give prob of picking 2 o, 1 h, and 2 t.", "a": "140/969" }, { "q": "Five letters picked without replacement from {v: 2, u: 5}. Give prob of picking 1 v and 4 u.", "a": "10/21" }, { "q": "Five letters picked without replacement from zxqkzzqzqqqqx. What is prob of picking 1 q and 4 z?", "a": "2/429" }, { "q": "Five letters picked without replacement from {k: 1, o: 2, d: 6, x: 2, q: 1}. Give prob of picking 1 q, 1 x, and 3 k.", "a": "0" }, { "q": "Five letters picked without replacement from {h: 6, f: 4}. What is prob of picking 2 h and 3 f?", "a": "5/21" }, { "q": "Five letters picked without replacement from {t: 6, q: 3, v: 7}. What is prob of picking 5 v?", "a": "1/208" }, { "q": "Five letters picked without replacement from mmstattvtvaatttttnma. Give prob of picking 1 n, 1 m, and 3 t.", "a": "21/1292" }, { "q": "Five letters picked without replacement from thttttt. What is prob of picking 4 t and 1 h?", "a": "5/7" }, { "q": "Calculate prob of picking 1 i, 1 r, 1 y, 1 f, and 1 p when five letters picked without replacement from ppfiymirmym.", "a": "4/231" }, { "q": "What is prob of picking 3 q and 2 s when five letters picked without replacement from insiiiiiqqsvvilnsiq?", "a": "1/3876" }, { "q": "Five letters picked without replacement from {m: 1, n: 4, k: 10, z: 5}. Give prob of picking 2 z and 3 n.", "a": "5/1938" }, { "q": "What is prob of picking 1 r, 2 h, and 2 z when five letters picked without replacement from ohhmzuzzomzr?", "a": "1/132" }, { "q": "Five letters picked without replacement from {r: 3, o: 2, h: 3}. Give prob of picking 2 r, 1 o, and 2 h.", "a": "9/28" }, { "q": "Five letters picked without replacement from {i: 3, t: 1, n: 3, a: 2, o: 5}. Give prob of picking 1 t, 2 a, and 2 n.", "a": "3/2002" }, { "q": "Calculate prob of picking 1 z and 4 p when five letters picked without replacement from {p: 4, z: 6}.", "a": "1/42" }, { "q": "What is prob of picking 1 n and 4 g when five letters picked without replacement from {c: 4, n: 5, g: 7}?", "a": "25/624" }, { "q": "Five letters picked without replacement from gbcgssncgggccccgbcn. What is prob of picking 1 g, 3 c, and 1 b?", "a": "35/969" }, { "q": "What is prob of picking 1 v, 1 q, 1 u, and 2 r when five letters picked without replacement from tvvttqqurqtvturttqvu?", "a": "1/323" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {r: 6, t: 8}.", "a": "3/1001" }, { "q": "What is prob of picking 3 a and 2 y when five letters picked without replacement from ajjjyjjjajyjjjjajjj?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {g: 14, e: 2, a: 3, k: 1}. Give prob of picking 1 k, 1 e, and 3 g.", "a": "91/1938" }, { "q": "Calculate prob of picking 3 k and 2 h when five letters picked without replacement from {h: 7, r: 1, k: 5, g: 3, d: 1}.", "a": "15/442" }, { "q": "Calculate prob of picking 3 l and 2 c when five letters picked without replacement from {c: 2, l: 6}.", "a": "5/14" }, { "q": "Five letters picked without replacement from yywysysyysyysyy. What is prob of picking 5 y?", "a": "12/143" }, { "q": "Five letters picked without replacement from wkwwwhhwwwhwwhhww. What is prob of picking 2 w, 2 h, and 1 k?", "a": "275/3094" }, { "q": "Calculate prob of picking 2 k, 1 s, and 2 o when five letters picked without replacement from hkxkshoox.", "a": "1/126" }, { "q": "Calculate prob of picking 1 l and 4 m when five letters picked without replacement from {l: 3, o: 2, t: 1, m: 10}.", "a": "15/104" }, { "q": "Five letters picked without replacement from {p: 8, m: 8}. What is prob of picking 1 p and 4 m?", "a": "5/39" }, { "q": "Calculate prob of picking 3 i, 1 z, and 1 k when five letters picked without replacement from ssizsikcsqicis.", "a": "2/1001" }, { "q": "Five letters picked without replacement from oususwuosuowuws. Give prob of picking 3 w, 1 s, and 1 o.", "a": "4/1001" }, { "q": "Five letters picked without replacement from xiffitxrrffxrix. What is prob of picking 1 f, 1 x, 1 t, and 2 i?", "a": "16/1001" }, { "q": "What is prob of picking 2 k and 3 o when five letters picked without replacement from kooooooooookkkoooook?", "a": "2275/7752" }, { "q": "What is prob of picking 3 s and 2 j when five letters picked without replacement from nsnnnssjsnjn?", "a": "1/198" }, { "q": "Five letters picked without replacement from {j: 3, o: 4, r: 2}. What is prob of picking 3 j and 2 r?", "a": "1/126" }, { "q": "Five letters picked without replacement from {e: 10}. Give prob of picking 5 e.", "a": "1" }, { "q": "Five letters picked without replacement from {b: 11, w: 5}. What is prob of picking 3 b and 2 w?", "a": "275/728" }, { "q": "Five letters picked without replacement from {l: 11, m: 4}. Give prob of picking 5 l.", "a": "2/13" }, { "q": "What is prob of picking 3 k, 1 a, and 1 o when five letters picked without replacement from {a: 2, k: 3, p: 3, z: 3, o: 1, h: 2}?", "a": "1/1001" }, { "q": "Calculate prob of picking 4 v and 1 r when five letters picked without replacement from vrlrrlrrrvrrvvrrll.", "a": "5/4284" }, { "q": "Calculate prob of picking 2 s, 1 p, and 2 h when five letters picked without replacement from psbhhsbshhpssshhss.", "a": "5/51" }, { "q": "What is prob of picking 1 i, 1 u, 1 q, and 2 c when five letters picked without replacement from ccuciiqiicc?", "a": "20/231" }, { "q": "Five letters picked without replacement from jovvwvojjoejvj. Give prob of picking 4 v and 1 j.", "a": "5/2002" }, { "q": "What is prob of picking 3 f and 2 a when five letters picked without replacement from {a: 3, f: 4, i: 2, c: 4}?", "a": "4/429" }, { "q": "What is prob of picking 1 a, 2 e, and 2 x when five letters picked without replacement from {a: 2, x: 2, e: 9}?", "a": "8/143" }, { "q": "What is prob of picking 1 r, 1 n, and 3 m when five letters picked without replacement from manmreeermrrrfrnere?", "a": "7/5814" }, { "q": "Five letters picked without replacement from ktkobbtktootbtootkp. Give prob of picking 2 k, 1 p, and 2 t.", "a": "5/646" }, { "q": "Five letters picked without replacement from fgebfgebnggbg. Give prob of picking 2 f, 1 b, and 2 g.", "a": "10/429" }, { "q": "Five letters picked without replacement from {f: 1, w: 15, r: 4}. Give prob of picking 3 w, 1 r, and 1 f.", "a": "455/3876" }, { "q": "Five letters picked without replacement from {f: 10, z: 4}. What is prob of picking 5 f?", "a": "18/143" }, { "q": "Five letters picked without replacement from bzuwbwybwoowowww. What is prob of picking 1 u, 1 z, 2 b, and 1 o?", "a": "3/1456" }, { "q": "Five letters picked without replacement from uqkkuukkkukqxo. Give prob of picking 1 x, 2 u, 1 q, and 1 k.", "a": "36/1001" }, { "q": "Calculate prob of picking 2 h and 3 w when five letters picked without replacement from {h: 12, w: 5}.", "a": "165/1547" }, { "q": "Five letters picked without replacement from mvqnvvsqsbqmvvq. What is prob of picking 1 b, 1 q, 1 n, 1 s, and 1 v?", "a": "40/3003" }, { "q": "Five letters picked without replacement from {k: 12, f: 8}. What is prob of picking 1 k and 4 f?", "a": "35/646" }, { "q": "Five letters picked without replacement from dadddaaddddddddddad. What is prob of picking 2 d and 3 a?", "a": "35/969" }, { "q": "Five letters picked without replacement from qrqiqrqiqrrqnirq. Give prob of picking 1 q, 1 i, 2 r, and 1 n.", "a": "5/104" }, { "q": "Five letters picked without replacement from {t: 6, h: 6, f: 5, d: 1, i: 1}. What is prob of picking 3 f, 1 i, and 1 d?", "a": "5/5814" }, { "q": "What is prob of picking 3 u and 2 w when five letters picked without replacement from {w: 10, u: 6}?", "a": "75/364" }, { "q": "Calculate prob of picking 1 p, 2 w, and 2 o when five letters picked without replacement from owwwpooppoopwup.", "a": "100/1001" }, { "q": "Five letters picked without replacement from {e: 6, r: 4, h: 2}. Give prob of picking 1 h and 4 r.", "a": "1/396" }, { "q": "What is prob of picking 1 y, 1 s, and 3 t when five letters picked without replacement from {t: 3, s: 2, y: 5}?", "a": "5/126" }, { "q": "What is prob of picking 4 k and 1 a when five letters picked without replacement from kakkpkkap?", "a": "5/63" }, { "q": "Five letters picked without replacement from mmmmnmmsmmmmnmnnfsn. What is prob of picking 3 m, 1 f, and 1 n?", "a": "275/3876" }, { "q": "Five letters picked without replacement from {w: 3, z: 2, m: 10}. Give prob of picking 5 m.", "a": "12/143" }, { "q": "Five letters picked without replacement from {o: 4, r: 3, m: 6}. Give prob of picking 3 r and 2 o.", "a": "2/429" }, { "q": "Five letters picked without replacement from {s: 16, c: 2}. Give prob of picking 5 s.", "a": "26/51" }, { "q": "Five letters picked without replacement from bdboeoebdobdbddbb. What is prob of picking 2 d, 2 e, and 1 b?", "a": "5/442" }, { "q": "Calculate prob of picking 1 z, 2 u, 1 q, and 1 w when five letters picked without replacement from quwuzuuuuuwquuwwuww.", "a": "15/323" }, { "q": "Five letters picked without replacement from {j: 6, s: 9, y: 2, p: 3}. What is prob of picking 1 y, 3 s, and 1 j?", "a": "21/323" }, { "q": "What is prob of picking 1 e and 4 z when five letters picked without replacement from zzzeeeeeezee?", "a": "1/99" }, { "q": "What is prob of picking 2 w, 2 u, and 1 s when five letters picked without replacement from {n: 1, s: 2, u: 4, w: 6, f: 1}?", "a": "90/1001" }, { "q": "What is prob of picking 3 n and 2 q when five letters picked without replacement from nqqqnqqqnnnnqqqqnqqq?", "a": "455/2584" }, { "q": "Five letters picked without replacement from oitgzxttxztztttzxzz. Give prob of picking 1 t, 3 z, and 1 g.", "a": "35/2907" }, { "q": "Calculate prob of picking 4 n and 1 x when five letters picked without replacement from {x: 1, n: 4, g: 1, b: 1}.", "a": "1/21" }, { "q": "Calculate prob of picking 2 u and 3 d when five letters picked without replacement from {u: 7, d: 4, w: 2}.", "a": "28/429" }, { "q": "Calculate prob of picking 3 c and 2 n when five letters picked without replacement from ncncncc.", "a": "4/7" }, { "q": "Five letters picked without replacement from {c: 1, h: 4, e: 1, u: 2, a: 2}. What is prob of picking 4 a and 1 u?", "a": "0" }, { "q": "Calculate prob of picking 1 p, 2 d, and 2 k when five letters picked without replacement from kdpdpkkdkppkdkkpkkdk.", "a": "375/2584" }, { "q": "What is prob of picking 1 d and 4 v when five letters picked without replacement from dvdvvvvvddvvd?", "a": "350/1287" }, { "q": "Five letters picked without replacement from epepeepepep. Give prob of picking 4 p and 1 e.", "a": "5/77" }, { "q": "Five letters picked without replacement from {s: 7, t: 10}. What is prob of picking 5 t?", "a": "9/221" }, { "q": "Five letters picked without replacement from gggggg. Give prob of picking 5 g.", "a": "1" }, { "q": "Calculate prob of picking 2 f and 3 v when five letters picked without replacement from fvvvffffvfffvvfvfv.", "a": "5/17" }, { "q": "Five letters picked without replacement from {z: 5, t: 3, l: 4, b: 6}. Give prob of picking 2 t, 1 z, and 2 l.", "a": "5/476" }, { "q": "What is prob of picking 2 y, 1 f, and 2 x when five letters picked without replacement from {a: 1, y: 2, m: 2, e: 4, f: 1, x: 3}?", "a": "1/429" }, { "q": "Five letters picked without replacement from gfgfgfffggfggf. What is prob of picking 3 g and 2 f?", "a": "105/286" }, { "q": "What is prob of picking 2 s and 3 a when five letters picked without replacement from aasaaassaaas?", "a": "14/33" }, { "q": "Five letters picked without replacement from {o: 3, s: 9, l: 5, m: 3}. Give prob of picking 3 o and 2 s.", "a": "3/1292" }, { "q": "Five letters picked without replacement from {l: 3, t: 4, z: 5}. Give prob of picking 4 z and 1 t.", "a": "5/198" }, { "q": "Five letters picked without replacement from gdhhghhghrgrg. Give prob of picking 2 h and 3 d.", "a": "0" }, { "q": "Five letters picked without replacement from {x: 5, c: 11}. What is prob of picking 1 x and 4 c?", "a": "275/728" }, { "q": "Five letters picked without replacement from {v: 6, n: 14}. Give prob of picking 4 v and 1 n.", "a": "35/2584" }, { "q": "What is prob of picking 1 s, 3 l, and 1 u when five letters picked without replacement from lslllsslsull?", "a": "35/198" }, { "q": "Five letters picked without replacement from {e: 8, b: 5, x: 2, v: 2}. What is prob of picking 1 v, 2 b, and 2 x?", "a": "5/1547" }, { "q": "Five letters picked without replacement from tqttgqt. What is prob of picking 3 t and 2 q?", "a": "4/21" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from llllllllll.", "a": "1" }, { "q": "Five letters picked without replacement from {d: 1, s: 8, r: 2}. What is prob of picking 2 r and 3 s?", "a": "4/33" }, { "q": "Calculate prob of picking 1 x, 1 t, and 3 m when five letters picked without replacement from pxtppxmmppppmxp.", "a": "1/1001" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {i: 3, j: 12}.", "a": "24/91" }, { "q": "Five letters picked without replacement from {x: 4, d: 3, z: 5, y: 4, f: 3}. Give prob of picking 2 f, 2 y, and 1 z.", "a": "5/646" }, { "q": "What is prob of picking 2 b and 3 u when five letters picked without replacement from {b: 5, p: 1, u: 4}?", "a": "10/63" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {p: 7}.", "a": "1" }, { "q": "Five letters picked without replacement from {s: 10, i: 3, r: 5}. Give prob of picking 3 r and 2 s.", "a": "25/476" }, { "q": "Five letters picked without replacement from papaapaaaaaapaa. What is prob of picking 3 a and 2 p?", "a": "30/91" }, { "q": "What is prob of picking 4 s and 1 l when five letters picked without replacement from sllssssl?", "a": "15/56" }, { "q": "Five letters picked without replacement from {i: 6, l: 7, c: 2, u: 1}. Give prob of picking 1 u, 2 i, 1 l, and 1 c.", "a": "5/104" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {n: 11, c: 5}.", "a": "11/104" }, { "q": "Five letters picked without replacement from {n: 1, p: 8, m: 2, b: 5}. Give prob of picking 1 n and 4 p.", "a": "5/312" }, { "q": "Calculate prob of picking 1 q and 4 b when five letters picked without replacement from bbbbbqbbbqb.", "a": "6/11" }, { "q": "Five letters picked without replacement from {y: 6, g: 8, h: 3}. Give prob of picking 1 h and 4 y.", "a": "45/6188" }, { "q": "Five letters picked without replacement from {i: 3, b: 10}. What is prob of picking 4 b and 1 i?", "a": "70/143" }, { "q": "Five letters picked without replacement from lccclllccl. Give prob of picking 2 l and 3 c.", "a": "25/63" }, { "q": "Calculate prob of picking 4 v and 1 t when five letters picked without replacement from {t: 8, v: 4}.", "a": "1/99" }, { "q": "What is prob of picking 3 n and 2 m when five letters picked without replacement from {n: 5, m: 7}?", "a": "35/132" }, { "q": "Calculate prob of picking 1 s, 1 e, 2 u, and 1 r when five letters picked without replacement from {g: 4, e: 2, f: 1, u: 2, s: 1, r: 1}.", "a": "1/231" }, { "q": "Five letters picked without replacement from eeeeeeepeep. What is prob of picking 5 e?", "a": "3/11" }, { "q": "What is prob of picking 1 i and 4 t when five letters picked without replacement from {z: 1, i: 1, t: 7, y: 1, d: 1, o: 2}?", "a": "35/1287" }, { "q": "What is prob of picking 1 i, 2 r, and 2 k when five letters picked without replacement from kpkiprppkrkprprid?", "a": "18/1547" }, { "q": "Calculate prob of picking 1 m and 4 s when five letters picked without replacement from {m: 5, n: 1, h: 3, s: 4}.", "a": "5/1287" }, { "q": "Five letters picked without replacement from {s: 4, g: 3, m: 2, c: 2}. Give prob of picking 1 c and 4 s.", "a": "1/231" }, { "q": "What is prob of picking 1 c and 4 u when five letters picked without replacement from {k: 2, i: 1, p: 1, l: 2, u: 1, c: 2}?", "a": "0" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from iibbbiiiibiibbib.", "a": "3/104" }, { "q": "Calculate prob of picking 2 a and 3 z when five letters picked without replacement from {a: 4, z: 11}.", "a": "30/91" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {a: 11, j: 7}?", "a": "11/204" }, { "q": "Five letters picked without replacement from {y: 2, g: 1, l: 8, p: 1, w: 6}. Give prob of picking 1 y, 2 w, 1 g, and 1 p.", "a": "5/1428" }, { "q": "Calculate prob of picking 4 f and 1 l when five letters picked without replacement from {p: 4, f: 5, m: 3, l: 1}.", "a": "5/1287" }, { "q": "Five letters picked without replacement from cbfbcbbblec. Give prob of picking 2 c and 3 b.", "a": "5/77" }, { "q": "Five letters picked without replacement from vbffgbfvvwwy. What is prob of picking 1 b, 1 v, 1 w, and 2 f?", "a": "1/22" }, { "q": "Calculate prob of picking 3 b, 1 j, and 1 l when five letters picked without replacement from {z: 2, b: 10, j: 1, l: 2}.", "a": "80/1001" }, { "q": "Five letters picked without replacement from {c: 3, r: 4, y: 1, m: 6}. Give prob of picking 1 m and 4 r.", "a": "3/1001" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {v: 2, u: 1, e: 5, l: 3, y: 5}?", "a": "1/4368" }, { "q": "Five letters picked without replacement from {r: 2, l: 2, e: 2, o: 1, k: 5}. Give prob of picking 3 l and 2 o.", "a": "0" }, { "q": "What is prob of picking 1 n, 1 q, and 3 c when five letters picked without replacement from {c: 2, o: 4, k: 3, q: 1, n: 1}?", "a": "0" }, { "q": "What is prob of picking 1 s and 4 f when five letters picked without replacement from cpxpsffps?", "a": "0" }, { "q": "Calculate prob of picking 2 c and 3 r when five letters picked without replacement from rccccccccrrccrccrrcc.", "a": "455/3876" }, { "q": "What is prob of picking 1 e, 1 s, 1 b, and 2 m when five letters picked without replacement from rosmmoobmeb?", "a": "1/77" }, { "q": "Five letters picked without replacement from {a: 7, t: 2}. Give prob of picking 5 a.", "a": "1/6" }, { "q": "Five letters picked without replacement from {r: 7, u: 11}. Give prob of picking 5 u.", "a": "11/204" }, { "q": "What is prob of picking 4 a and 1 x when five letters picked without replacement from {x: 3, a: 5, f: 4}?", "a": "5/264" }, { "q": "Five letters picked without replacement from {r: 3, p: 1, b: 1, i: 3, j: 2, d: 1}. What is prob of picking 1 b, 3 r, and 1 i?", "a": "1/154" }, { "q": "Five letters picked without replacement from {h: 1, l: 2, k: 4, u: 4, b: 1, m: 8}. What is prob of picking 3 k, 1 l, and 1 b?", "a": "1/1938" }, { "q": "Five letters picked without replacement from {c: 4, m: 2, f: 1, v: 1}. Give prob of picking 1 f, 3 c, and 1 v.", "a": "1/14" }, { "q": "Five letters picked without replacement from {f: 1, i: 3, d: 4, w: 2}. What is prob of picking 4 d and 1 f?", "a": "1/252" }, { "q": "Calculate prob of picking 1 g, 2 b, 1 l, and 1 x when five letters picked without replacement from {x: 1, v: 4, l: 1, g: 3, b: 3, e: 4}.", "a": "3/1456" }, { "q": "Five letters picked without replacement from {h: 11, b: 8}. Give prob of picking 2 h and 3 b.", "a": "770/2907" }, { "q": "Five letters picked without replacement from {r: 5, f: 3, o: 6, t: 1, v: 1, m: 2}. What is prob of picking 1 v, 1 o, 2 r, and 1 m?", "a": "5/357" }, { "q": "Calculate prob of picking 1 d, 2 k, 1 p, and 1 z when five letters picked without replacement from {k: 4, d: 11, z: 2, p: 2}.", "a": "22/969" }, { "q": "Five letters picked without replacement from {p: 4, j: 6, w: 9, t: 1}. What is prob of picking 1 p and 4 w?", "a": "21/646" }, { "q": "Calculate prob of picking 1 d and 4 r when five letters picked without replacement from {d: 4, v: 4, y: 10, r: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from aaivivvvva. Give prob of picking 3 a, 1 i, and 1 v.", "a": "5/126" }, { "q": "Calculate prob of picking 1 f, 2 u, and 2 m when five letters picked without replacement from gggggmfgfgunf.", "a": "0" }, { "q": "Five letters picked without replacement from wwwwwwjwwwjwwwwwwj. What is prob of picking 3 j and 2 w?", "a": "5/408" }, { "q": "Five letters picked without replacement from kkqiiqqvkqrhhqk. Give prob of picking 2 h, 1 k, 1 i, and 1 q.", "a": "40/3003" }, { "q": "Five letters picked without replacement from sdnnndsfzdnndngfnsd. Give prob of picking 1 g, 3 n, and 1 f.", "a": "35/5814" }, { "q": "Five letters picked without replacement from kkkkkekucckukeek. What is prob of picking 3 k and 2 e?", "a": "3/52" }, { "q": "Five letters picked without replacement from xxxxxxbbbbbxbxbxb. What is prob of picking 2 x and 3 b?", "a": "72/221" }, { "q": "Five letters picked without replacement from pqcxqqxxpqqcxcq. What is prob of picking 1 c, 3 x, and 1 p?", "a": "8/1001" }, { "q": "What is prob of picking 1 b, 1 y, and 3 t when five letters picked without replacement from {y: 2, t: 9, b: 1}?", "a": "7/33" }, { "q": "Calculate prob of picking 1 j, 1 l, 1 e, 1 x, and 1 v when five letters picked without replacement from {d: 1, l: 1, e: 2, x: 4, v: 1, j: 1}.", "a": "2/63" }, { "q": "Five letters picked without replacement from zzszaas. What is prob of picking 2 a, 1 z, and 2 s?", "a": "1/7" }, { "q": "Five letters picked without replacement from vvvtivvvvttitvtvttvi. What is prob of picking 3 v, 1 t, and 1 i?", "a": "105/646" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {z: 9, o: 1, g: 5, p: 1, i: 1}?", "a": "1/6188" }, { "q": "Calculate prob of picking 1 b and 4 k when five letters picked without replacement from {b: 12, k: 4}.", "a": "1/364" }, { "q": "Calculate prob of picking 2 a, 1 j, and 2 s when five letters picked without replacement from {s: 8, j: 1, r: 2, a: 8}.", "a": "196/2907" }, { "q": "What is prob of picking 1 j and 4 x when five letters picked without replacement from xjxjxxjsjjjssjxj?", "a": "5/546" }, { "q": "What is prob of picking 3 x and 2 h when five letters picked without replacement from hxhhxx?", "a": "1/2" }, { "q": "Five letters picked without replacement from zzzzzzz. What is prob of picking 5 z?", "a": "1" }, { "q": "Calculate prob of picking 2 z and 3 a when five letters picked without replacement from {z: 9, a: 3}.", "a": "1/22" }, { "q": "Five letters picked without replacement from ggsggsgggsssassss. Give prob of picking 3 s, 1 g, and 1 a.", "a": "21/221" }, { "q": "Calculate prob of picking 1 n, 2 x, and 2 v when five letters picked without replacement from vxxxqxxxqvxxnnnxq.", "a": "27/1547" }, { "q": "Five letters picked without replacement from iqqqilliiqlqi. What is prob of picking 5 i?", "a": "1/1287" }, { "q": "What is prob of picking 1 x and 4 s when five letters picked without replacement from xxxxssxxxxsxxssxxxx?", "a": "35/5814" }, { "q": "What is prob of picking 2 b, 1 u, and 2 w when five letters picked without replacement from {b: 3, w: 2, u: 8}?", "a": "8/429" }, { "q": "Five letters picked without replacement from {r: 1, j: 3, z: 2, o: 9, c: 2, a: 1}. What is prob of picking 1 z, 1 r, 2 c, and 1 j?", "a": "1/1428" }, { "q": "Calculate prob of picking 4 i and 1 w when five letters picked without replacement from {i: 13, w: 4}.", "a": "55/119" }, { "q": "Calculate prob of picking 2 m, 1 d, and 2 v when five letters picked without replacement from dmvvvmdfdmfvmmvvdmv.", "a": "35/323" }, { "q": "Five letters picked without replacement from {j: 17, g: 1, d: 2}. Give prob of picking 5 j.", "a": "91/228" }, { "q": "Five letters picked without replacement from {i: 7, b: 3, a: 5}. Give prob of picking 3 i and 2 b.", "a": "5/143" }, { "q": "Five letters picked without replacement from {y: 3, a: 2, i: 4, w: 3}. Give prob of picking 1 w and 4 i.", "a": "1/264" }, { "q": "Calculate prob of picking 1 p and 4 h when five letters picked without replacement from hhhhhhhhhphphhhhhhh.", "a": "70/171" }, { "q": "What is prob of picking 1 o, 1 w, and 3 v when five letters picked without replacement from fwvoofofvfwfvoo?", "a": "10/3003" }, { "q": "Calculate prob of picking 2 h and 3 n when five letters picked without replacement from hhhhhhnzznnnhh.", "a": "8/143" }, { "q": "Calculate prob of picking 4 g and 1 z when five letters picked without replacement from zrgrggzhzzgrzuzzrrrr.", "a": "7/15504" }, { "q": "Five letters picked without replacement from {h: 4, r: 2, e: 3, x: 9}. Give prob of picking 1 h, 1 x, and 3 e.", "a": "1/238" }, { "q": "Calculate prob of picking 1 s, 1 c, and 3 o when five letters picked without replacement from {s: 8, c: 3, o: 4}.", "a": "32/1001" }, { "q": "What is prob of picking 3 h and 2 f when five letters picked without replacement from fmbhhfbbmmbhfm?", "a": "3/2002" }, { "q": "Five letters picked without replacement from {z: 6, w: 2, p: 1}. Give prob of picking 3 z and 2 w.", "a": "10/63" }, { "q": "Five letters picked without replacement from rrddrdr. Give prob of picking 2 d and 3 r.", "a": "4/7" }, { "q": "Calculate prob of picking 2 q, 1 e, and 2 l when five letters picked without replacement from {e: 1, q: 4, b: 2, u: 1, l: 3}.", "a": "3/77" }, { "q": "Five letters picked without replacement from lgglpgghggilllghilg. What is prob of picking 2 i, 2 h, and 1 p?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {h: 10, d: 2, i: 8}. What is prob of picking 4 h and 1 d?", "a": "35/1292" }, { "q": "Calculate prob of picking 3 r, 1 o, and 1 e when five letters picked without replacement from {e: 11, o: 2, r: 6}.", "a": "110/2907" }, { "q": "What is prob of picking 2 w, 2 y, and 1 g when five letters picked without replacement from {y: 2, w: 5, c: 4, g: 6}?", "a": "15/1547" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from iiemmmmmiiiemimii?", "a": "2/221" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from wvvwvvwvvwww?", "a": "1/132" }, { "q": "What is prob of picking 1 f, 2 q, and 2 u when five letters picked without replacement from fduquuqfuffqqwdfud?", "a": "25/714" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from rrrrrrryrrrrrrrrr?", "a": "12/17" }, { "q": "Five letters picked without replacement from {y: 1, p: 10, u: 8}. What is prob of picking 5 u?", "a": "14/2907" }, { "q": "Five letters picked without replacement from rrhrrr. Give prob of picking 5 r.", "a": "1/6" }, { "q": "Calculate prob of picking 3 d, 1 m, and 1 p when five letters picked without replacement from {p: 2, r: 4, d: 4, m: 5, i: 2}.", "a": "10/1547" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from {e: 6, v: 9, l: 5}.", "a": "21/2584" }, { "q": "What is prob of picking 1 y, 3 j, and 1 g when five letters picked without replacement from {j: 4, q: 2, g: 4, y: 7}?", "a": "4/221" }, { "q": "Five letters picked without replacement from dgsssggsgzlgsgg. What is prob of picking 1 s, 1 d, and 3 g?", "a": "25/429" }, { "q": "Calculate prob of picking 1 h, 1 l, 2 z, and 1 f when five letters picked without replacement from fzfzbbhlfbbhzbbb.", "a": "3/728" }, { "q": "Five letters picked without replacement from {f: 1, y: 3, d: 3, m: 2, l: 3, t: 2}. Give prob of picking 1 m, 1 d, and 3 l.", "a": "3/1001" }, { "q": "Five letters picked without replacement from ppspmypzpjzzzpm. What is prob of picking 3 p, 1 y, and 1 m?", "a": "40/3003" }, { "q": "What is prob of picking 1 k, 3 v, and 1 r when five letters picked without replacement from yrkvvvyvgmmv?", "a": "5/396" }, { "q": "Five letters picked without replacement from {u: 4, l: 1, s: 13, w: 1}. Give prob of picking 1 w, 1 s, 1 l, and 2 u.", "a": "13/1938" }, { "q": "Five letters picked without replacement from qqqqq. What is prob of picking 5 q?", "a": "1" }, { "q": "Five letters picked without replacement from {s: 2, k: 4, u: 4, f: 6}. Give prob of picking 1 u, 1 s, and 3 k.", "a": "2/273" }, { "q": "Calculate prob of picking 1 t and 4 b when five letters picked without replacement from btbbbbbttbt.", "a": "10/33" }, { "q": "What is prob of picking 2 m, 1 i, and 2 h when five letters picked without replacement from mhhihmiimihhhihihi?", "a": "7/102" }, { "q": "Five letters picked without replacement from {b: 13, k: 4}. What is prob of picking 5 b?", "a": "99/476" }, { "q": "Calculate prob of picking 1 l, 2 d, and 2 y when five letters picked without replacement from {x: 3, d: 1, y: 1, v: 1, l: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from {y: 1, p: 1, k: 1, f: 1, j: 1, m: 1}. Give prob of picking 2 m, 1 f, and 2 j.", "a": "0" }, { "q": "What is prob of picking 2 g, 1 c, 1 b, and 1 t when five letters picked without replacement from {p: 1, b: 3, c: 3, t: 3, g: 4}?", "a": "81/1001" }, { "q": "What is prob of picking 1 q, 1 x, 1 b, and 2 r when five letters picked without replacement from xrrrqqxxxqrqxrxrb?", "a": "90/1547" }, { "q": "Five letters picked without replacement from juujdpe. What is prob of picking 2 j, 1 d, and 2 e?", "a": "0" }, { "q": "Five letters picked without replacement from zjjsazazaap. What is prob of picking 3 p and 2 a?", "a": "0" }, { "q": "Five letters picked without replacement from {b: 4, z: 9}. Give prob of picking 1 z and 4 b.", "a": "1/143" }, { "q": "What is prob of picking 2 g, 2 e, and 1 h when five letters picked without replacement from {z: 1, h: 2, e: 2, g: 2, b: 1, w: 1}?", "a": "1/63" }, { "q": "Five letters picked without replacement from sbsbbsbbsb. What is prob of picking 1 b and 4 s?", "a": "1/42" }, { "q": "Five letters picked without replacement from qrkmqgvm. What is prob of picking 1 k, 1 m, 2 q, and 1 r?", "a": "1/28" }, { "q": "Five letters picked without replacement from ttjjtttjjtjjttjt. What is prob of picking 3 j and 2 t?", "a": "15/52" }, { "q": "Five letters picked without replacement from {v: 3, n: 2, r: 1, q: 4, b: 1}. Give prob of picking 1 v, 1 b, and 3 q.", "a": "2/77" }, { "q": "What is prob of picking 3 o, 1 l, and 1 t when five letters picked without replacement from {l: 3, t: 4, o: 10}?", "a": "360/1547" }, { "q": "What is prob of picking 1 q and 4 g when five letters picked without replacement from gggggggggqqggg?", "a": "45/91" }, { "q": "Five letters picked without replacement from tjppjpjpbtbptptjtj. What is prob of picking 2 p and 3 t?", "a": "25/1428" }, { "q": "Five letters picked without replacement from {z: 5, v: 4, n: 11}. What is prob of picking 2 v and 3 n?", "a": "165/2584" }, { "q": "Five letters picked without replacement from {s: 4, h: 6, r: 4}. What is prob of picking 1 s, 1 h, and 3 r?", "a": "48/1001" }, { "q": "What is prob of picking 2 f, 1 s, and 2 z when five letters picked without replacement from {z: 3, s: 2, f: 2, q: 4}?", "a": "1/77" }, { "q": "Five letters picked without replacement from eeeveeeeeveee. What is prob of picking 3 e and 2 v?", "a": "5/39" }, { "q": "Five letters picked without replacement from {s: 3, p: 4, t: 1, n: 4}. What is prob of picking 3 n and 2 p?", "a": "1/33" }, { "q": "Five letters picked without replacement from {z: 6, b: 6, v: 3, j: 4}. Give prob of picking 3 z and 2 b.", "a": "25/969" }, { "q": "Five letters picked without replacement from {o: 7, p: 4, c: 6}. What is prob of picking 2 c and 3 p?", "a": "15/1547" }, { "q": "Calculate prob of picking 2 l and 3 f when five letters picked without replacement from {j: 1, l: 6, f: 6}.", "a": "100/429" }, { "q": "Five letters picked without replacement from ittitttittiiittti. Give prob of picking 5 i.", "a": "3/884" }, { "q": "What is prob of picking 2 e, 2 f, and 1 q when five letters picked without replacement from feefqeqeffeeeeff?", "a": "5/26" }, { "q": "Calculate prob of picking 4 x and 1 o when five letters picked without replacement from wyywxrxoyyoxywowrx.", "a": "1/2856" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from {x: 9, n: 5}?", "a": "1/2002" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from {j: 1, h: 2, o: 16}.", "a": "364/969" }, { "q": "Five letters picked without replacement from kkkkkklkl. Give prob of picking 5 k.", "a": "1/6" }, { "q": "Five letters picked without replacement from lejtltljylj. What is prob of picking 1 t, 1 e, and 3 l?", "a": "4/231" }, { "q": "Five letters picked without replacement from {m: 12, p: 3}. Give prob of picking 2 p and 3 m.", "a": "20/91" }, { "q": "What is prob of picking 1 t, 1 e, 1 a, and 2 z when five letters picked without replacement from zeaztmzze?", "a": "2/21" }, { "q": "What is prob of picking 3 q, 1 u, and 1 j when five letters picked without replacement from {q: 5, v: 1, w: 3, j: 3, u: 8}?", "a": "5/323" }, { "q": "Five letters picked without replacement from {i: 3, f: 3, g: 6, q: 1}. Give prob of picking 2 f and 3 i.", "a": "1/429" }, { "q": "Five letters picked without replacement from nqzznbnfzqqjqnnq. What is prob of picking 1 f, 1 j, 1 q, and 2 n?", "a": "25/2184" }, { "q": "Five letters picked without replacement from {n: 5, b: 6}. Give prob of picking 4 b and 1 n.", "a": "25/154" }, { "q": "Five letters picked without replacement from izeiebegibo. Give prob of picking 1 e, 3 i, and 1 z.", "a": "1/154" }, { "q": "Five letters picked without replacement from {b: 1, q: 4, k: 3, n: 1, i: 2}. Give prob of picking 1 n, 1 q, 2 i, and 1 k.", "a": "2/77" }, { "q": "Five letters picked without replacement from {i: 3, s: 10, v: 4}. Give prob of picking 3 v and 2 i.", "a": "3/1547" }, { "q": "Five letters picked without replacement from ghggggh. What is prob of picking 2 h and 3 g?", "a": "10/21" }, { "q": "What is prob of picking 4 f and 1 h when five letters picked without replacement from {h: 7, d: 1, c: 2, f: 8}?", "a": "35/612" }, { "q": "What is prob of picking 1 f, 2 x, and 2 u when five letters picked without replacement from {u: 5, p: 2, r: 1, x: 5, v: 2, f: 2}?", "a": "50/1547" }, { "q": "Calculate prob of picking 1 b, 3 w, and 1 q when five letters picked without replacement from {b: 2, j: 3, w: 11, q: 3}.", "a": "55/646" }, { "q": "What is prob of picking 2 s, 1 j, and 2 k when five letters picked without replacement from kjssjkkkhhshjkkkjkk?", "a": "12/323" }, { "q": "Five letters picked without replacement from {a: 7, j: 5}. Give prob of picking 2 a and 3 j.", "a": "35/132" }, { "q": "What is prob of picking 3 p and 2 m when five letters picked without replacement from {m: 13, p: 3}?", "a": "1/56" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from {h: 16, n: 1}.", "a": "12/17" }, { "q": "Five letters picked without replacement from dddrrdrddddfmdrmdrdx. What is prob of picking 3 d, 1 f, and 1 m?", "a": "55/2584" }, { "q": "Calculate prob of picking 2 h, 1 c, and 2 t when five letters picked without replacement from hcctthh.", "a": "2/7" }, { "q": "What is prob of picking 2 e, 1 i, and 2 z when five letters picked without replacement from {t: 2, z: 5, e: 2, i: 4, q: 1, f: 3}?", "a": "10/1547" }, { "q": "Five letters picked without replacement from vvkkvkvkvvvvvkv. Give prob of picking 5 v.", "a": "12/143" }, { "q": "Calculate prob of picking 2 y and 3 m when five letters picked without replacement from {y: 11, m: 8}.", "a": "770/2907" }, { "q": "Five letters picked without replacement from uaakouiokkoarrka. Give prob of picking 2 r, 1 k, 1 a, and 1 o.", "a": "1/91" }, { "q": "Calculate prob of picking 1 u, 1 a, 2 d, and 1 l when five letters picked without replacement from lldpplallllludl.", "a": "3/1001" }, { "q": "Calculate prob of picking 1 r, 3 d, and 1 n when five letters picked without replacement from suudjrssuddrsjn.", "a": "2/3003" }, { "q": "What is prob of picking 4 m and 1 h when five letters picked without replacement from {h: 2, m: 6, y: 4, q: 2}?", "a": "15/1001" }, { "q": "Calculate prob of picking 2 g and 3 l when five letters picked without replacement from {f: 3, g: 7, l: 9}.", "a": "49/323" }, { "q": "Five letters picked without replacement from {y: 7, t: 4}. Give prob of picking 1 y and 4 t.", "a": "1/66" }, { "q": "Five letters picked without replacement from {m: 10, q: 10}. Give prob of picking 5 q.", "a": "21/1292" }, { "q": "Five letters picked without replacement from {o: 1, p: 1, a: 1, g: 3}. Give prob of picking 1 a, 1 o, and 3 g.", "a": "1/6" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from {q: 9, h: 10}.", "a": "7/323" }, { "q": "What is prob of picking 4 j and 1 x when five letters picked without replacement from {x: 1, p: 1, o: 4, j: 7}?", "a": "35/1287" }, { "q": "What is prob of picking 2 g, 1 j, and 2 x when five letters picked without replacement from {j: 4, x: 3, z: 1, g: 3}?", "a": "6/77" }, { "q": "Five letters picked without replacement from jassajasassajs. What is prob of picking 5 a?", "a": "1/2002" }, { "q": "What is prob of picking 3 p, 1 d, and 1 u when five letters picked without replacement from apqpqaaadauuapa?", "a": "2/3003" }, { "q": "Five letters picked without replacement from ccagrrac. What is prob of picking 1 a, 1 g, 1 r, and 2 c?", "a": "3/14" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from bbbubdddydbd.", "a": "1/792" }, { "q": "What is prob of picking 4 s and 1 m when five letters picked without replacement from {b: 1, m: 7, y: 6, s: 5}?", "a": "35/11628" }, { "q": "Calculate prob of picking 2 k, 1 f, and 2 i when five letters picked without replacement from {i: 13, m: 1, f: 3, k: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from {r: 3, m: 1, u: 5}. Give prob of picking 2 r and 3 u.", "a": "5/21" }, { "q": "Five letters picked without replacement from lcdlddccdddddcdl. What is prob of picking 3 c and 2 l?", "a": "1/364" }, { "q": "Five letters picked without replacement from {t: 1, n: 2, g: 1, i: 4}. What is prob of picking 2 i, 1 g, and 2 n?", "a": "3/28" }, { "q": "What is prob of picking 1 y, 3 i, and 1 j when five letters picked without replacement from {i: 1, y: 5, j: 7}?", "a": "0" }, { "q": "Five letters picked without replacement from {h: 3, p: 2, u: 2, r: 3, v: 2}. What is prob of picking 1 p, 2 v, 1 r, and 1 h?", "a": "1/44" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from gigiiiiiiiiii.", "a": "14/39" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from ttxkktxkkxtktxkkk?", "a": "2/221" }, { "q": "Calculate prob of picking 2 h, 1 s, and 2 o when five letters picked without replacement from {c: 1, o: 3, l: 7, h: 5, s: 3}.", "a": "5/646" }, { "q": "Five letters picked without replacement from tvvttvvvvvtktt. Give prob of picking 2 t, 1 k, and 2 v.", "a": "45/286" }, { "q": "Five letters picked without replacement from paapbeeaepeepabpape. Give prob of picking 4 a and 1 b.", "a": "5/5814" }, { "q": "Calculate prob of picking 1 k, 2 h, and 2 t when five letters picked without replacement from ckcchllth.", "a": "0" }, { "q": "Five letters picked without replacement from izjuuiojjuzjijjjj. Give prob of picking 1 o, 2 z, and 2 i.", "a": "3/6188" }, { "q": "Calculate prob of picking 2 y, 1 o, 1 g, and 1 w when five letters picked without replacement from dywwdygydop.", "a": "1/77" }, { "q": "Five letters picked without replacement from {e: 7, r: 5}. What is prob of picking 2 e and 3 r?", "a": "35/132" }, { "q": "Five letters picked without replacement from {r: 1, x: 3, g: 4, n: 11}. Give prob of picking 1 x, 1 n, 1 r, and 2 g.", "a": "11/646" }, { "q": "Five letters picked without replacement from {k: 2, m: 4, u: 3, j: 6}. What is prob of picking 2 u, 1 m, and 2 k?", "a": "4/1001" }, { "q": "What is prob of picking 4 m and 1 j when five letters picked without replacement from mmmmmmmmjmmmjmjm?", "a": "55/112" }, { "q": "Five letters picked without replacement from {u: 8, v: 2, s: 2, t: 1}. What is prob of picking 2 u, 2 s, and 1 t?", "a": "28/1287" }, { "q": "Calculate prob of picking 2 p and 3 q when five letters picked without replacement from spjppqjppsppsssjqsq.", "a": "7/3876" }, { "q": "What is prob of picking 2 z, 2 x, and 1 t when five letters picked without replacement from {x: 5, p: 1, t: 1, z: 4}?", "a": "10/77" }, { "q": "What is prob of picking 4 g and 1 h when five letters picked without replacement from {g: 11, h: 9}?", "a": "495/2584" }, { "q": "What is prob of picking 2 y and 3 n when five letters picked without replacement from nnyynnnnynnynyyy?", "a": "21/52" }, { "q": "Calculate prob of picking 1 d, 1 l, and 3 i when five letters picked without replacement from lldiiiiddii.", "a": "20/77" }, { "q": "Calculate prob of picking 2 d and 3 h when five letters picked without replacement from {d: 2, p: 1, h: 5}.", "a": "5/28" }, { "q": "Calculate prob of picking 4 q and 1 n when five letters picked without replacement from qqqqqqqqqqqqn.", "a": "5/13" }, { "q": "What is prob of picking 2 y and 3 d when five letters picked without replacement from {g: 2, y: 3, b: 2, u: 5, m: 4, d: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from {i: 5, q: 12, u: 2}. What is prob of picking 2 u and 3 i?", "a": "5/5814" }, { "q": "Five letters picked without replacement from rsdsstnfttsd. Give prob of picking 1 s, 3 t, and 1 r.", "a": "1/198" }, { "q": "Five letters picked without replacement from ooaolooaoooooooaoola. Give prob of picking 2 l and 3 a.", "a": "1/3876" }, { "q": "What is prob of picking 1 u, 2 c, and 2 j when five letters picked without replacement from {q: 6, j: 2, u: 1, c: 3}?", "a": "1/264" }, { "q": "Calculate prob of picking 1 k, 1 a, and 3 c when five letters picked without replacement from backbkcbcabaabbaacaa.", "a": "4/969" }, { "q": "Five letters picked without replacement from cjjcjjcjcj. Give prob of picking 3 j and 2 c.", "a": "10/21" }, { "q": "Five letters picked without replacement from kzlzgkk. What is prob of picking 2 z, 2 k, and 1 g?", "a": "1/7" }, { "q": "What is prob of picking 1 d, 3 f, and 1 i when five letters picked without replacement from fffidiidi?", "a": "4/63" }, { "q": "Five letters picked without replacement from {j: 3, b: 3}. Give prob of picking 3 j and 2 b.", "a": "1/2" }, { "q": "Five letters picked without replacement from ememeeem. What is prob of picking 3 e and 2 m?", "a": "15/28" }, { "q": "What is prob of picking 3 l and 2 i when five letters picked without replacement from {i: 5, l: 4}?", "a": "20/63" }, { "q": "Calculate prob of picking 3 b and 2 z when five letters picked without replacement from {z: 9, b: 11}.", "a": "495/1292" }, { "q": "What is prob of picking 1 q, 2 u, and 2 g when five letters picked without replacement from {g: 3, f: 6, q: 2, u: 4, k: 2}?", "a": "9/1547" }, { "q": "Five letters picked without replacement from xtxbhbtxhhxbr. Give prob of picking 2 x, 2 b, and 1 t.", "a": "4/143" }, { "q": "Calculate prob of picking 1 s, 3 e, and 1 c when five letters picked without replacement from neeseneesssesnsesscs.", "a": "105/5168" }, { "q": "What is prob of picking 3 x, 1 y, and 1 t when five letters picked without replacement from xktyyxxxkyyx?", "a": "5/99" }, { "q": "Five letters picked without replacement from vyyyyvy. What is prob of picking 5 y?", "a": "1/21" }, { "q": "Five letters picked without replacement from {l: 2, q: 6, t: 1, m: 3, p: 1}. Give prob of picking 1 t, 1 p, and 3 m.", "a": "1/1287" }, { "q": "What is prob of picking 1 x, 1 b, 2 h, and 1 s when five letters picked without replacement from hmmohhboxmbsmb?", "a": "9/2002" }, { "q": "Five letters picked without replacement from yyyqzy. Give prob of picking 1 q and 4 y.", "a": "1/6" }, { "q": "Five letters picked without replacement from dijjdbib. What is prob of picking 1 d, 2 i, and 2 j?", "a": "1/28" }, { "q": "Five letters picked without replacement from {m: 2, g: 8, u: 2}. What is prob of picking 1 u, 3 g, and 1 m?", "a": "28/99" }, { "q": "Five letters picked without replacement from {l: 6, v: 2, w: 2, h: 4}. What is prob of picking 2 h, 2 w, and 1 v?", "a": "6/1001" }, { "q": "Five letters picked without replacement from {o: 3, n: 1, x: 6, q: 6, f: 2}. Give prob of picking 2 q, 1 o, and 2 f.", "a": "5/952" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {e: 2, o: 7}?", "a": "1/6" }, { "q": "Five letters picked without replacement from {n: 1, o: 2, h: 1, f: 3, a: 5, d: 5}. Give prob of picking 1 h, 1 n, and 3 f.", "a": "1/6188" }, { "q": "Five letters picked without replacement from {d: 11, s: 4}. What is prob of picking 2 s and 3 d?", "a": "30/91" }, { "q": "Five letters picked without replacement from {w: 2, z: 11, s: 7}. Give prob of picking 1 s, 3 z, and 1 w.", "a": "385/2584" }, { "q": "Five letters picked without replacement from {n: 7}. Give prob of picking 5 n.", "a": "1" }, { "q": "What is prob of picking 2 e and 3 x when five letters picked without replacement from elzzxelllczxzdlzxcc?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {w: 8, g: 2, i: 5, f: 1}. Give prob of picking 3 i, 1 g, and 1 w.", "a": "10/273" }, { "q": "Five letters picked without replacement from {q: 1, p: 1, u: 5, z: 2, o: 1}. What is prob of picking 3 u, 1 o, and 1 z?", "a": "5/63" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from xccxccxcccxxcccxcxcx?", "a": "7/1938" }, { "q": "Five letters picked without replacement from dddddcbddbddbbbdddcd. Give prob of picking 5 d.", "a": "429/5168" }, { "q": "Five letters picked without replacement from {x: 2, u: 3, k: 3, s: 5, l: 2}. Give prob of picking 1 x, 1 u, 2 s, and 1 k.", "a": "60/1001" }, { "q": "What is prob of picking 2 g, 2 x, and 1 c when five letters picked without replacement from gcixgxciggx?", "a": "6/77" }, { "q": "Five letters picked without replacement from {f: 1, q: 4, s: 5, p: 2, r: 2, o: 1}. Give prob of picking 1 o and 4 s.", "a": "5/3003" }, { "q": "Five letters picked without replacement from ggjgmjgjgmmggjjjmj. What is prob of picking 2 j and 3 g?", "a": "35/408" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from sssssllslslsssl.", "a": "1/3003" }, { "q": "What is prob of picking 1 c, 3 u, and 1 x when five letters picked without replacement from {t: 1, m: 2, n: 3, u: 5, c: 1, x: 1}?", "a": "10/1287" }, { "q": "Five letters picked without replacement from wfiwrwiffifwfffw. Give prob of picking 1 i, 2 w, 1 r, and 1 f.", "a": "5/104" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from kwkkwwwwkwkwkkww?", "a": "3/104" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from rorororroroorrrrrr.", "a": "1/1428" }, { "q": "What is prob of picking 1 r, 2 l, and 2 g when five letters picked without replacement from {e: 5, r: 2, l: 3, j: 4, g: 2}?", "a": "1/728" }, { "q": "Five letters picked without replacement from {c: 1, e: 3, g: 3, p: 6, x: 1, w: 1}. Give prob of picking 1 x, 1 c, 2 p, and 1 w.", "a": "5/1001" }, { "q": "Five letters picked without replacement from sqpfsfff. What is prob of picking 1 f, 1 s, and 3 q?", "a": "0" }, { "q": "Five letters picked without replacement from zolzlllczcvzvoozomlz. What is prob of picking 1 z, 2 l, and 2 v?", "a": "5/1292" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from babbbbbbbbabbabbaaaa.", "a": "429/5168" }, { "q": "Calculate prob of picking 2 s, 1 y, and 2 c when five letters picked without replacement from {c: 2, a: 3, b: 4, s: 2, y: 6}.", "a": "3/3094" }, { "q": "Five letters picked without replacement from habfcbohaobohobfb. What is prob of picking 1 b, 1 o, 1 h, and 2 f?", "a": "15/1547" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from bbbbbbeb.", "a": "3/8" }, { "q": "What is prob of picking 2 v, 2 i, and 1 n when five letters picked without replacement from {n: 1, i: 2, v: 8}?", "a": "2/33" }, { "q": "What is prob of picking 2 u, 1 m, and 2 l when five letters picked without replacement from ulmumuuuullullum?", "a": "5/26" }, { "q": "Five letters picked without replacement from {l: 4, h: 2, g: 1, q: 4, w: 8}. What is prob of picking 1 w, 2 l, 1 g, and 1 q?", "a": "16/969" }, { "q": "Five letters picked without replacement from {z: 1, n: 1, b: 15, o: 3}. What is prob of picking 1 o and 4 b?", "a": "1365/5168" }, { "q": "Calculate prob of picking 4 t and 1 s when five letters picked without replacement from {s: 1, t: 6}.", "a": "5/7" }, { "q": "Five letters picked without replacement from kfukkkpkyfuywfyfyyfy. Give prob of picking 1 f, 3 y, and 1 p.", "a": "25/3876" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {f: 6}?", "a": "1" }, { "q": "Five letters picked without replacement from ttvtuttttvttututtuv. What is prob of picking 1 v and 4 u?", "a": "1/3876" }, { "q": "What is prob of picking 3 x and 2 n when five letters picked without replacement from xxxxxnxxxxxxxnx?", "a": "2/21" }, { "q": "Five letters picked without replacement from {c: 1, a: 1, f: 1, z: 9}. What is prob of picking 1 c, 2 z, 1 f, and 1 a?", "a": "1/22" }, { "q": "What is prob of picking 3 v and 2 w when five letters picked without replacement from {v: 4, w: 3, l: 2}?", "a": "2/21" }, { "q": "What is prob of picking 4 j and 1 x when five letters picked without replacement from xjjjxrrjrxr?", "a": "1/154" }, { "q": "Five letters picked without replacement from wwbwbbwb. Give prob of picking 2 b and 3 w.", "a": "3/7" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from pttppttptttttt.", "a": "18/143" }, { "q": "Five letters picked without replacement from duuuk. What is prob of picking 3 k and 2 d?", "a": "0" }, { "q": "Calculate prob of picking 1 j, 1 u, 2 m, and 1 l when five letters picked without replacement from mmjllrsrlmlmru.", "a": "12/1001" }, { "q": "What is prob of picking 1 c, 1 g, 2 x, and 1 e when five letters picked without replacement from cgfaxxxffefaxf?", "a": "3/1001" }, { "q": "What is prob of picking 1 s, 1 l, and 3 b when five letters picked without replacement from {s: 1, l: 2, b: 4, z: 8}?", "a": "8/3003" }, { "q": "Five letters picked without replacement from uqlqluiquuluiuuluqll. What is prob of picking 3 l and 2 q?", "a": "5/646" }, { "q": "Five letters picked without replacement from wwwwwwwwww. What is prob of picking 5 w?", "a": "1" }, { "q": "Five letters picked without replacement from {k: 11, w: 4}. Give prob of picking 3 w and 2 k.", "a": "20/273" }, { "q": "Five letters picked without replacement from {a: 5, f: 5}. Give prob of picking 1 f and 4 a.", "a": "25/252" }, { "q": "Calculate prob of picking 1 m, 1 e, 2 q, and 1 c when five letters picked without replacement from qqqqcmmmqcqqseeesm.", "a": "1/17" }, { "q": "Five letters picked without replacement from dddmdmmdmmmddmm. Give prob of picking 1 d and 4 m.", "a": "70/429" }, { "q": "Five letters picked without replacement from zzzzhzzzzzzzzz. Give prob of picking 4 z and 1 h.", "a": "5/14" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from cciccycciccyc?", "a": "14/143" }, { "q": "What is prob of picking 4 k and 1 z when five letters picked without replacement from {k: 8, z: 4}?", "a": "35/99" }, { "q": "Five letters picked without replacement from {d: 2, k: 11, j: 2}. Give prob of picking 3 k, 1 d, and 1 j.", "a": "20/91" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from fftttttffftftfft.", "a": "1/78" }, { "q": "What is prob of picking 3 g and 2 n when five letters picked without replacement from ngngnnnnngnnn?", "a": "5/143" }, { "q": "What is prob of picking 4 h and 1 e when five letters picked without replacement from hhehhhehehhheehhh?", "a": "2475/6188" }, { "q": "Calculate prob of picking 1 t, 3 p, and 1 w when five letters picked without replacement from dtwpddddwptxdppvdd.", "a": "2/1071" }, { "q": "What is prob of picking 3 s, 1 j, and 1 a when five letters picked without replacement from {w: 2, s: 5, j: 3, y: 5, a: 3}?", "a": "5/476" }, { "q": "Five letters picked without replacement from fffffyzyyyv. What is prob of picking 1 y, 1 z, and 3 f?", "a": "20/231" }, { "q": "What is prob of picking 3 t and 2 y when five letters picked without replacement from {y: 2, t: 4, n: 3}?", "a": "2/63" }, { "q": "What is prob of picking 2 m, 1 q, and 2 i when five letters picked without replacement from {y: 2, a: 2, i: 3, m: 2, q: 1}?", "a": "1/84" }, { "q": "Calculate prob of picking 3 c, 1 a, and 1 k when five letters picked without replacement from cakckcckcykaac.", "a": "120/1001" }, { "q": "What is prob of picking 3 j, 1 k, and 1 s when five letters picked without replacement from jksjkjjsssk?", "a": "8/77" }, { "q": "Five letters picked without replacement from ccrrocrroo. What is prob of picking 1 c, 3 o, and 1 r?", "a": "1/21" }, { "q": "Calculate prob of picking 4 y and 1 i when five letters picked without replacement from {y: 7, i: 9}.", "a": "15/208" }, { "q": "Five letters picked without replacement from ppmpmmpmmjp. Give prob of picking 4 p and 1 m.", "a": "25/462" }, { "q": "Calculate prob of picking 1 n, 2 i, and 2 v when five letters picked without replacement from vnopvpooiiiiipioppvi.", "a": "21/5168" }, { "q": "Five letters picked without replacement from {w: 2, x: 12, y: 4}. What is prob of picking 5 x?", "a": "11/119" }, { "q": "What is prob of picking 1 s and 4 z when five letters picked without replacement from szzzzzzss?", "a": "5/14" }, { "q": "What is prob of picking 1 f and 4 q when five letters picked without replacement from {q: 5, d: 7, f: 5}?", "a": "25/6188" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wwwwwwww?", "a": "1" }, { "q": "Calculate prob of picking 2 q, 1 g, 1 o, and 1 i when five letters picked without replacement from {q: 2, o: 1, i: 2, g: 1, v: 1}.", "a": "2/21" }, { "q": "Calculate prob of picking 2 f, 2 d, and 1 s when five letters picked without replacement from {m: 2, i: 3, e: 1, s: 1, f: 3, d: 2}.", "a": "1/264" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from xxxsxasxasxxxs.", "a": "4/143" }, { "q": "Five letters picked without replacement from {a: 4, d: 7}. Give prob of picking 3 d and 2 a.", "a": "5/11" }, { "q": "Five letters picked without replacement from jjbbbbbbbbjbjjjjj. Give prob of picking 4 b and 1 j.", "a": "36/221" }, { "q": "Five letters picked without replacement from {u: 2, v: 11, j: 2, o: 1}. What is prob of picking 3 v and 2 j?", "a": "55/1456" }, { "q": "Five letters picked without replacement from {s: 2, a: 2, u: 4, e: 2, c: 8}. Give prob of picking 1 a, 2 u, and 2 e.", "a": "1/714" }, { "q": "Calculate prob of picking 2 w, 1 g, and 2 y when five letters picked without replacement from {y: 3, k: 3, m: 1, g: 6, w: 4}.", "a": "27/1547" }, { "q": "Calculate prob of picking 2 o, 2 e, and 1 z when five letters picked without replacement from neoenzoznzoen.", "a": "3/143" }, { "q": "Five letters picked without replacement from cwwwwwccwclwccwccwmu. Give prob of picking 4 w and 1 m.", "a": "21/2584" }, { "q": "Calculate prob of picking 3 j, 1 q, and 1 t when five letters picked without replacement from {q: 4, t: 2, j: 3}.", "a": "4/63" }, { "q": "Five letters picked without replacement from {z: 7, x: 4, d: 5}. What is prob of picking 1 x and 4 d?", "a": "5/1092" }, { "q": "Five letters picked without replacement from {v: 2, e: 3, k: 4, m: 3, c: 1, a: 2}. What is prob of picking 1 a, 1 c, 1 k, and 2 e?", "a": "8/1001" }, { "q": "What is prob of picking 1 t, 1 o, 1 q, and 2 x when five letters picked without replacement from xtbqobqbnqxox?", "a": "2/143" }, { "q": "Five letters picked without replacement from {z: 1, n: 1, q: 4, t: 2, g: 1, b: 8}. What is prob of picking 1 z, 1 b, 1 t, 1 q, and 1 n?", "a": "16/1547" }, { "q": "Five letters picked without replacement from {h: 9, l: 1}. Give prob of picking 5 h.", "a": "1/2" }, { "q": "What is prob of picking 1 d, 2 f, and 2 l when five letters picked without replacement from fvdsvvsflfvvl?", "a": "1/429" }, { "q": "What is prob of picking 1 e, 1 i, 1 k, and 2 d when five letters picked without replacement from {e: 1, i: 1, d: 2, k: 2}?", "a": "1/3" }, { "q": "Calculate prob of picking 4 p and 1 j when five letters picked without replacement from jppppjsp.", "a": "5/28" }, { "q": "Five letters picked without replacement from {l: 5, o: 3, r: 4}. What is prob of picking 2 o, 2 r, and 1 l?", "a": "5/44" }, { "q": "Calculate prob of picking 1 g, 1 r, and 3 e when five letters picked without replacement from {g: 1, r: 2, e: 6}.", "a": "20/63" }, { "q": "Five letters picked without replacement from {y: 3, o: 6, r: 7}. Give prob of picking 1 o and 4 r.", "a": "5/104" }, { "q": "What is prob of picking 2 t and 3 u when five letters picked without replacement from {o: 1, n: 2, l: 1, u: 2, t: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from httvvextivvtt. What is prob of picking 1 v, 1 h, and 3 t?", "a": "40/1287" }, { "q": "What is prob of picking 1 l, 1 q, 1 e, and 2 s when five letters picked without replacement from eersrlmrqlmsesssem?", "a": "10/1071" }, { "q": "What is prob of picking 3 l, 1 v, and 1 m when five letters picked without replacement from llmcccclvmmcvv?", "a": "9/2002" }, { "q": "Five letters picked without replacement from {s: 1, m: 2, z: 10, a: 4, i: 2}. Give prob of picking 1 m, 1 i, 1 s, and 2 a.", "a": "2/969" }, { "q": "Five letters picked without replacement from nbfzinfbbbkf. Give prob of picking 2 f, 1 z, and 2 n.", "a": "1/264" }, { "q": "Five letters picked without replacement from ppfzpffffff. What is prob of picking 2 p, 2 f, and 1 z?", "a": "3/22" }, { "q": "Five letters picked without replacement from llblblbblblblllb. Give prob of picking 4 l and 1 b.", "a": "21/104" }, { "q": "Five letters picked without replacement from {p: 8, x: 5, j: 7}. Give prob of picking 4 p and 1 j.", "a": "245/7752" }, { "q": "Five letters picked without replacement from {p: 12, v: 5}. What is prob of picking 1 p and 4 v?", "a": "15/1547" }, { "q": "Five letters picked without replacement from rmmrmmmmmrmm. Give prob of picking 5 m.", "a": "7/44" }, { "q": "Five letters picked without replacement from {k: 2, e: 8, c: 2, o: 2, j: 5}. Give prob of picking 2 c, 1 e, and 2 k.", "a": "2/2907" }, { "q": "What is prob of picking 1 j and 4 y when five letters picked without replacement from vyvyjmylyylvvmy?", "a": "5/1001" }, { "q": "Five letters picked without replacement from gddggdggdjdvgggggjj. What is prob of picking 5 d?", "a": "1/11628" }, { "q": "Five letters picked without replacement from eeeeeeve. What is prob of picking 4 e and 1 v?", "a": "5/8" }, { "q": "Five letters picked without replacement from sskqsqsqswjo. Give prob of picking 2 s, 1 j, 1 q, and 1 w.", "a": "5/132" }, { "q": "Five letters picked without replacement from {d: 4, t: 4, j: 1, h: 1}. What is prob of picking 4 d and 1 t?", "a": "1/63" }, { "q": "Calculate prob of picking 4 c and 1 n when five letters picked without replacement from {s: 10, k: 3, c: 6, n: 1}.", "a": "5/5168" }, { "q": "What is prob of picking 2 h and 3 t when five letters picked without replacement from {h: 2, t: 8}?", "a": "2/9" }, { "q": "Five letters picked without replacement from {r: 5, d: 3, o: 4, c: 5, e: 1, x: 1}. Give prob of picking 1 e and 4 r.", "a": "5/11628" }, { "q": "What is prob of picking 1 h and 4 f when five letters picked without replacement from {f: 5, h: 4}?", "a": "10/63" }, { "q": "Five letters picked without replacement from {z: 5, l: 3, q: 4, e: 1}. What is prob of picking 5 z?", "a": "1/1287" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from zzzzzzzzz.", "a": "1" }, { "q": "Five letters picked without replacement from {b: 4, g: 3, p: 5, o: 3, l: 2, w: 1}. Give prob of picking 4 p and 1 g.", "a": "5/2856" }, { "q": "Five letters picked without replacement from {x: 12, z: 2, u: 3}. What is prob of picking 3 x and 2 u?", "a": "165/1547" }, { "q": "Five letters picked without replacement from {l: 3, m: 3, t: 1, d: 4, e: 2, j: 2}. What is prob of picking 2 m and 3 d?", "a": "4/1001" }, { "q": "Five letters picked without replacement from {d: 6, b: 5}. What is prob of picking 5 b?", "a": "1/462" }, { "q": "Five letters picked without replacement from hyhyhhyhny. What is prob of picking 4 y and 1 h?", "a": "5/252" }, { "q": "Calculate prob of picking 1 k, 3 e, and 1 w when five letters picked without replacement from {k: 6, w: 9, e: 3}.", "a": "3/476" }, { "q": "Calculate prob of picking 1 a, 2 v, and 2 l when five letters picked without replacement from nvvgalllnl.", "a": "1/42" }, { "q": "What is prob of picking 2 a and 3 e when five letters picked without replacement from {e: 4, a: 13}?", "a": "6/119" }, { "q": "What is prob of picking 1 s and 4 z when five letters picked without replacement from {s: 3, z: 4}?", "a": "1/7" }, { "q": "Five letters picked without replacement from {q: 1, b: 6}. What is prob of picking 5 b?", "a": "2/7" }, { "q": "Calculate prob of picking 3 f and 2 g when five letters picked without replacement from gfggffcfg.", "a": "4/21" }, { "q": "What is prob of picking 3 m and 2 i when five letters picked without replacement from cmicimiimciiciiic?", "a": "9/1547" }, { "q": "Five letters picked without replacement from {w: 10, r: 2}. What is prob of picking 5 w?", "a": "7/22" }, { "q": "Five letters picked without replacement from tthhyhtthhthhh. Give prob of picking 1 t and 4 h.", "a": "25/143" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from ycyyyccccyyyyccyy.", "a": "3/884" }, { "q": "Calculate prob of picking 1 d, 2 r, and 2 h when five letters picked without replacement from hhhhrdjhfrjdjhheeh.", "a": "1/153" }, { "q": "What is prob of picking 1 y and 4 g when five letters picked without replacement from ygggggyygyggygg?", "a": "50/143" }, { "q": "Five letters picked without replacement from {b: 1, g: 2, l: 1, h: 2, s: 2}. What is prob of picking 1 g, 1 l, 1 s, 1 b, and 1 h?", "a": "1/7" }, { "q": "Calculate prob of picking 1 o, 1 x, and 3 p when five letters picked without replacement from xccpopmp.", "a": "1/56" }, { "q": "Five letters picked without replacement from kmmkmkkkmm. Give prob of picking 1 m and 4 k.", "a": "25/252" }, { "q": "Five letters picked without replacement from pppmuumpppmmp. What is prob of picking 2 m and 3 p?", "a": "70/429" }, { "q": "Five letters picked without replacement from {r: 9, j: 5}. Give prob of picking 5 r.", "a": "9/143" }, { "q": "What is prob of picking 1 d, 1 m, 2 r, and 1 l when five letters picked without replacement from {r: 3, y: 2, m: 6, d: 1, l: 1}?", "a": "2/143" }, { "q": "Five letters picked without replacement from {h: 6, o: 7, z: 2}. Give prob of picking 5 o.", "a": "1/143" }, { "q": "Five letters picked without replacement from {i: 1, u: 5, g: 4}. Give prob of picking 3 u and 2 g.", "a": "5/21" }, { "q": "Calculate prob of picking 1 i, 1 y, and 3 h when five letters picked without replacement from tvhvihyiihhihhyvvii.", "a": "20/969" }, { "q": "Five letters picked without replacement from {c: 2, p: 1, i: 1, d: 11}. Give prob of picking 4 p and 1 i.", "a": "0" }, { "q": "What is prob of picking 1 s, 1 c, and 3 v when five letters picked without replacement from {s: 5, v: 4, c: 1, o: 5}?", "a": "20/3003" }, { "q": "What is prob of picking 4 q and 1 k when five letters picked without replacement from kkqqqqqkkkqqqkkqqqqk?", "a": "165/646" }, { "q": "Five letters picked without replacement from jamaamamammaaaammaa. Give prob of picking 1 m, 3 a, and 1 j.", "a": "385/3876" }, { "q": "Five letters picked without replacement from sxisiiiishxvxxithhit. Give prob of picking 1 x, 2 i, and 2 s.", "a": "21/1292" }, { "q": "Five letters picked without replacement from vkkkukuwkkqquqj. Give prob of picking 1 j, 3 u, and 1 v.", "a": "1/3003" }, { "q": "Five letters picked without replacement from {q: 3, u: 1, a: 8, e: 2}. What is prob of picking 2 a, 1 u, and 2 q?", "a": "6/143" }, { "q": "What is prob of picking 4 i and 1 b when five letters picked without replacement from iiibbibbibbbbbbbi?", "a": "165/6188" }, { "q": "Five letters picked without replacement from {u: 2, a: 6, z: 1, w: 5, p: 2}. Give prob of picking 2 a, 1 w, and 2 u.", "a": "25/1456" }, { "q": "What is prob of picking 1 e, 3 u, and 1 l when five letters picked without replacement from {z: 1, a: 2, u: 4, e: 1, l: 1}?", "a": "2/63" }, { "q": "What is prob of picking 3 u and 2 b when five letters picked without replacement from bububbbububbbubububb?", "a": "455/2584" }, { "q": "What is prob of picking 1 q, 3 u, and 1 p when five letters picked without replacement from bppqulubbqbbqbeupu?", "a": "1/238" }, { "q": "Five letters picked without replacement from bqaaglqqlba. Give prob of picking 3 a, 1 q, and 1 b.", "a": "1/77" }, { "q": "What is prob of picking 1 v, 2 n, and 2 z when five letters picked without replacement from {z: 3, n: 4, v: 2}?", "a": "2/7" }, { "q": "Calculate prob of picking 1 r, 2 m, 1 x, and 1 z when five letters picked without replacement from {m: 8, r: 5, x: 1, z: 4}.", "a": "10/153" }, { "q": "What is prob of picking 1 b, 1 n, 1 m, and 2 q when five letters picked without replacement from {b: 1, q: 7, n: 2, m: 4}?", "a": "12/143" }, { "q": "Calculate prob of picking 3 u, 1 l, and 1 i when five letters picked without replacement from {w: 1, u: 3, i: 2, s: 9, l: 1}.", "a": "1/2184" }, { "q": "Calculate prob of picking 1 j, 1 h, 2 b, and 1 v when five letters picked without replacement from vvhhhhvzvhjhhb.", "a": "0" }, { "q": "Calculate prob of picking 1 s, 1 t, 1 a, 1 b, and 1 u when five letters picked without replacement from {s: 1, u: 1, t: 1, o: 1, a: 3, b: 1}.", "a": "3/56" }, { "q": "Five letters picked without replacement from qqyyyyyyyyqoyyqoyyq. What is prob of picking 3 y, 1 o, and 1 q?", "a": "550/2907" }, { "q": "What is prob of picking 2 i and 3 z when five letters picked without replacement from {z: 4, i: 4, j: 3}?", "a": "4/77" }, { "q": "What is prob of picking 1 v and 4 q when five letters picked without replacement from {q: 5, v: 14}?", "a": "35/5814" }, { "q": "Five letters picked without replacement from {v: 2, d: 7, r: 5, x: 2, y: 3}. What is prob of picking 2 x, 1 v, and 2 y?", "a": "1/1938" }, { "q": "What is prob of picking 3 c and 2 t when five letters picked without replacement from ddcgctggcgdutccgg?", "a": "5/3094" }, { "q": "Five letters picked without replacement from mmmdmmmcdc. Give prob of picking 1 d and 4 m.", "a": "5/42" }, { "q": "What is prob of picking 1 o, 2 m, and 2 l when five letters picked without replacement from omohomololllooomm?", "a": "72/1547" }, { "q": "Five letters picked without replacement from trtrtitrrt. Give prob of picking 3 r and 2 t.", "a": "10/63" }, { "q": "Five letters picked without replacement from zcszcczczdzzdz. Give prob of picking 1 d, 1 c, and 3 z.", "a": "20/143" }, { "q": "Calculate prob of picking 1 n and 4 v when five letters picked without replacement from vnvnvvvfnnvn.", "a": "25/264" }, { "q": "Five letters picked without replacement from cknccckkcc. Give prob of picking 1 n and 4 c.", "a": "5/84" }, { "q": "Calculate prob of picking 2 a, 1 g, and 2 p when five letters picked without replacement from {g: 1, f: 1, a: 2, p: 7}.", "a": "1/22" }, { "q": "Five letters picked without replacement from {t: 1, c: 6, w: 6, i: 2, u: 1}. What is prob of picking 2 w, 2 i, and 1 u?", "a": "5/1456" }, { "q": "Five letters picked without replacement from fiivtvikipikivvv. What is prob of picking 1 k, 3 v, and 1 f?", "a": "5/1092" }, { "q": "Five letters picked without replacement from {s: 1, m: 1, c: 3, p: 2, j: 3}. Give prob of picking 1 m, 2 c, 1 s, and 1 p.", "a": "1/42" }, { "q": "Five letters picked without replacement from {n: 4, b: 3, k: 4, m: 2, j: 2, t: 1}. What is prob of picking 1 m, 1 t, 1 k, 1 j, and 1 b?", "a": "1/91" }, { "q": "What is prob of picking 3 c, 1 y, and 1 h when five letters picked without replacement from ycchf?", "a": "0" }, { "q": "Five letters picked without replacement from mrdaamammmaa. Give prob of picking 4 a and 1 r.", "a": "5/792" }, { "q": "Five letters picked without replacement from kkekekekkkkek. What is prob of picking 1 k and 4 e?", "a": "1/143" }, { "q": "What is prob of picking 2 r and 3 e when five letters picked without replacement from {r: 3, e: 9, y: 5, i: 2}?", "a": "7/323" }, { "q": "Five letters picked without replacement from {w: 3, h: 8, q: 3}. Give prob of picking 3 q and 2 w.", "a": "3/2002" }, { "q": "Calculate prob of picking 1 g, 1 y, 1 x, and 2 m when five letters picked without replacement from {y: 9, k: 1, x: 1, m: 3, g: 5}.", "a": "15/1292" }, { "q": "What is prob of picking 3 y, 1 i, and 1 t when five letters picked without replacement from tdiyhiyyiytt?", "a": "1/22" }, { "q": "Calculate prob of picking 1 j and 4 m when five letters picked without replacement from {z: 2, j: 10, p: 3, m: 5}.", "a": "25/7752" }, { "q": "What is prob of picking 3 d, 1 m, and 1 s when five letters picked without replacement from {d: 4, y: 2, z: 1, s: 2, m: 11}?", "a": "11/1938" }, { "q": "Five letters picked without replacement from {k: 10, y: 1, e: 1, o: 8}. What is prob of picking 5 k?", "a": "21/1292" }, { "q": "Five letters picked without replacement from {b: 5, n: 1}. Give prob of picking 5 b.", "a": "1/6" }, { "q": "What is prob of picking 2 b, 1 o, 1 t, and 1 s when five letters picked without replacement from {o: 3, s: 3, t: 6, b: 2}?", "a": "27/1001" }, { "q": "Five letters picked without replacement from vggvggjegjge. Give prob of picking 3 g and 2 e.", "a": "5/198" }, { "q": "Calculate prob of picking 2 a, 1 b, and 2 l when five letters picked without replacement from {b: 1, u: 1, x: 1, a: 1, l: 1}.", "a": "0" }, { "q": "Calculate prob of picking 1 g and 4 h when five letters picked without replacement from {h: 4, c: 8, p: 6, g: 1}.", "a": "1/11628" }, { "q": "What is prob of picking 3 x and 2 k when five letters picked without replacement from {k: 15, x: 5}?", "a": "175/2584" }, { "q": "Calculate prob of picking 1 m, 1 b, 1 x, 1 z, and 1 g when five letters picked without replacement from {m: 1, z: 1, g: 1, s: 1, x: 2, b: 1}.", "a": "2/21" }, { "q": "Five letters picked without replacement from {e: 3, k: 10, v: 1, s: 4}. Give prob of picking 4 s and 1 k.", "a": "5/4284" }, { "q": "Calculate prob of picking 2 p, 2 x, and 1 e when five letters picked without replacement from plapxxpieepx.", "a": "1/22" }, { "q": "Calculate prob of picking 4 q and 1 o when five letters picked without replacement from qqoooqqoqo.", "a": "25/252" }, { "q": "Five letters picked without replacement from {p: 5, v: 12, m: 2}. What is prob of picking 5 v?", "a": "22/323" }, { "q": "Calculate prob of picking 2 y, 1 b, and 2 x when five letters picked without replacement from {d: 5, x: 3, q: 4, b: 4, y: 3}.", "a": "1/323" }, { "q": "Five letters picked without replacement from {q: 4, y: 8, b: 3, v: 5}. Give prob of picking 3 q and 2 y.", "a": "7/969" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from {r: 8, q: 1}?", "a": "4/9" }, { "q": "Calculate prob of picking 1 j and 4 i when five letters picked without replacement from {i: 11, j: 6}.", "a": "495/1547" }, { "q": "Five letters picked without replacement from kekefxaaxxesaexkxk. What is prob of picking 1 x, 2 k, 1 e, and 1 a?", "a": "5/119" }, { "q": "Five letters picked without replacement from {n: 10, d: 2, s: 2}. What is prob of picking 4 n and 1 s?", "a": "30/143" }, { "q": "Calculate prob of picking 2 n, 1 z, and 2 e when five letters picked without replacement from {n: 6, d: 2, z: 1, e: 3}.", "a": "5/88" }, { "q": "Calculate prob of picking 1 i, 1 v, and 3 w when five letters picked without replacement from waaavwwwaaiwwwwava.", "a": "2/153" }, { "q": "Five letters picked without replacement from {d: 9}. Give prob of picking 5 d.", "a": "1" }, { "q": "What is prob of picking 1 p, 1 a, 1 n, 1 m, and 1 x when five letters picked without replacement from {x: 2, a: 4, m: 1, p: 2, n: 1, b: 1}?", "a": "8/231" }, { "q": "Five letters picked without replacement from yaaaarrxraixyrxiyyyr. Give prob of picking 2 i, 1 a, 1 x, and 1 y.", "a": "25/5168" }, { "q": "Five letters picked without replacement from rzrrzzzzzzzzzrrcc. Give prob of picking 4 r and 1 c.", "a": "5/3094" }, { "q": "Calculate prob of picking 4 w and 1 f when five letters picked without replacement from {w: 8, n: 1, a: 1, f: 8}.", "a": "10/153" }, { "q": "What is prob of picking 1 s and 4 x when five letters picked without replacement from {s: 4, x: 10}?", "a": "60/143" }, { "q": "Five letters picked without replacement from {d: 2, r: 4, t: 3}. What is prob of picking 2 r, 1 t, and 2 d?", "a": "1/7" }, { "q": "Five letters picked without replacement from {g: 6, p: 3, e: 1, q: 2, v: 4, t: 2}. What is prob of picking 3 g, 1 q, and 1 v?", "a": "20/1071" }, { "q": "Five letters picked without replacement from {x: 3, p: 3, e: 5}. What is prob of picking 3 e and 2 x?", "a": "5/77" }, { "q": "Calculate prob of picking 3 l and 2 w when five letters picked without replacement from {t: 1, b: 1, l: 3, a: 1, w: 7}.", "a": "7/429" }, { "q": "Five letters picked without replacement from {g: 1, x: 9, o: 9}. What is prob of picking 2 x and 3 o?", "a": "84/323" }, { "q": "What is prob of picking 1 z, 2 h, and 2 u when five letters picked without replacement from {z: 7, y: 1, v: 2, h: 6, u: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from {o: 1, t: 3, b: 1, v: 1, i: 4}. Give prob of picking 1 v, 1 b, and 3 t.", "a": "1/252" }, { "q": "Five letters picked without replacement from cicciciiiiiiiicii. Give prob of picking 4 i and 1 c.", "a": "2475/6188" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from ennnneenennenneepnnn?", "a": "7/5168" }, { "q": "Five letters picked without replacement from yzddzzzzdfddddd. What is prob of picking 1 f, 1 z, and 3 d?", "a": "40/429" }, { "q": "Calculate prob of picking 3 h, 1 g, and 1 a when five letters picked without replacement from hghhggagghgggggghhag.", "a": "10/323" }, { "q": "Five letters picked without replacement from imndyqydymyqi. What is prob of picking 1 d, 1 n, 1 i, and 2 q?", "a": "4/1287" }, { "q": "Five letters picked without replacement from tncoycbbcob. Give prob of picking 2 o, 1 y, and 2 c.", "a": "1/154" }, { "q": "Calculate prob of picking 4 j and 1 m when five letters picked without replacement from jjmjjjjjjjjjjj.", "a": "5/14" }, { "q": "Five letters picked without replacement from sssddnd. What is prob of picking 2 s, 1 n, and 2 d?", "a": "3/7" }, { "q": "Five letters picked without replacement from {j: 1, r: 4, f: 3, t: 2}. What is prob of picking 1 f, 1 j, and 3 r?", "a": "1/21" }, { "q": "What is prob of picking 2 t, 2 w, and 1 y when five letters picked without replacement from tjwytxjyyuyxxyjywtuu?", "a": "3/2584" }, { "q": "Calculate prob of picking 4 g and 1 x when five letters picked without replacement from gxgaaggaggx.", "a": "5/77" }, { "q": "What is prob of picking 1 g, 1 o, and 3 w when five letters picked without replacement from gtwooooo?", "a": "0" }, { "q": "Calculate prob of picking 1 o, 1 f, and 3 z when five letters picked without replacement from ozmmcrcocf.", "a": "0" }, { "q": "Five letters picked without replacement from {v: 5, z: 3, e: 6}. What is prob of picking 4 e and 1 z?", "a": "45/2002" }, { "q": "Five letters picked without replacement from {u: 6, x: 1, s: 7}. What is prob of picking 1 x, 1 s, and 3 u?", "a": "10/143" }, { "q": "Calculate prob of picking 1 d, 2 r, and 2 z when five letters picked without replacement from rdrzrzz.", "a": "3/7" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from {z: 7, n: 1}?", "a": "3/8" }, { "q": "What is prob of picking 2 g, 1 l, and 2 h when five letters picked without replacement from {e: 1, x: 1, h: 5, g: 2, l: 4}?", "a": "40/1287" }, { "q": "Five letters picked without replacement from {w: 4, z: 3, k: 5}. Give prob of picking 1 w, 1 k, and 3 z.", "a": "5/198" }, { "q": "Five letters picked without replacement from ssdfbsbffbf. Give prob of picking 1 s, 3 f, and 1 d.", "a": "2/77" }, { "q": "Five letters picked without replacement from {c: 5, f: 1, k: 3, h: 5, o: 4, q: 1}. Give prob of picking 2 o and 3 k.", "a": "1/1938" }, { "q": "Five letters picked without replacement from ssrzgsgbbzzsgr. What is prob of picking 2 z and 3 s?", "a": "6/1001" }, { "q": "What is prob of picking 2 u, 2 o, and 1 y when five letters picked without replacement from cuyoyuyyoyluyuoluc?", "a": "5/238" }, { "q": "What is prob of picking 1 c and 4 k when five letters picked without replacement from ckckkkkkkkkikk?", "a": "30/91" }, { "q": "What is prob of picking 1 u, 1 v, 1 z, 1 x, and 1 t when five letters picked without replacement from tvmmvmtmzumuxum?", "a": "4/1001" }, { "q": "Calculate prob of picking 1 x, 2 l, and 2 n when five letters picked without replacement from {o: 3, l: 4, x: 3, n: 5, m: 2}.", "a": "45/1547" }, { "q": "What is prob of picking 1 j, 2 r, and 2 b when five letters picked without replacement from jbjjrjrrrjjbbr?", "a": "90/1001" }, { "q": "Five letters picked without replacement from jeeeejjejjeeeeejeee. Give prob of picking 1 e and 4 j.", "a": "65/3876" }, { "q": "Calculate prob of picking 4 p and 1 t when five letters picked without replacement from {t: 5, p: 5, w: 2}.", "a": "25/792" }, { "q": "What is prob of picking 1 g, 3 v, and 1 r when five letters picked without replacement from {r: 3, g: 3, l: 5, v: 4}?", "a": "12/1001" }, { "q": "What is prob of picking 2 s and 3 y when five letters picked without replacement from askryrrksyyaylssy?", "a": "15/1547" }, { "q": "Five letters picked without replacement from {e: 3, k: 4, u: 5, w: 5}. Give prob of picking 4 k and 1 u.", "a": "5/6188" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from xvxxxvvxvvvvvvvvvvv.", "a": "1001/5814" }, { "q": "Five letters picked without replacement from hqqqhh. Give prob of picking 3 q and 2 h.", "a": "1/2" }, { "q": "Five letters picked without replacement from ppqylplyqpllyyppp. Give prob of picking 2 y, 1 l, 1 q, and 1 p.", "a": "12/221" }, { "q": "Five letters picked without replacement from {d: 7, k: 1}. Give prob of picking 5 d.", "a": "3/8" }, { "q": "What is prob of picking 1 l, 2 g, and 2 p when five letters picked without replacement from ylypggydpdpz?", "a": "1/264" }, { "q": "Calculate prob of picking 1 y and 4 v when five letters picked without replacement from vvvvvyvvvvvv.", "a": "5/12" }, { "q": "Five letters picked without replacement from dddddaddadddtt. Give prob of picking 5 d.", "a": "18/143" }, { "q": "What is prob of picking 1 e, 2 q, 1 c, and 1 b when five letters picked without replacement from {b: 5, e: 2, m: 1, c: 1, n: 6, q: 3}?", "a": "5/1428" }, { "q": "Five letters picked without replacement from tttntttnttttttttnn. What is prob of picking 4 n and 1 t?", "a": "1/612" }, { "q": "Five letters picked without replacement from xuxfczzdufzzuzfcxuz. What is prob of picking 1 x, 1 z, 1 u, 1 f, and 1 d?", "a": "6/323" }, { "q": "Five letters picked without replacement from {e: 4, w: 6, p: 8}. What is prob of picking 3 w and 2 e?", "a": "5/357" }, { "q": "Calculate prob of picking 4 d and 1 m when five letters picked without replacement from {d: 12, m: 1}.", "a": "5/13" }, { "q": "Five letters picked without replacement from {u: 2, m: 3, o: 7}. Give prob of picking 2 u, 2 m, and 1 o.", "a": "7/264" }, { "q": "What is prob of picking 1 h, 1 y, 1 g, 1 l, and 1 e when five letters picked without replacement from ylqqqqeyhqlleghqqeqh?", "a": "9/2584" }, { "q": "Five letters picked without replacement from {u: 4, m: 7, n: 1}. What is prob of picking 4 m and 1 u?", "a": "35/198" }, { "q": "Calculate prob of picking 1 j and 4 x when five letters picked without replacement from {j: 3, x: 11}.", "a": "45/91" }, { "q": "Five letters picked without replacement from {w: 7, d: 5, n: 8}. What is prob of picking 1 n and 4 d?", "a": "5/1938" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {g: 1, l: 5}.", "a": "1/6" }, { "q": "Five letters picked without replacement from nmzmxxznzsnumussz. Give prob of picking 2 x, 1 z, 1 n, and 1 s.", "a": "9/1547" }, { "q": "What is prob of picking 1 g, 1 d, and 3 l when five letters picked without replacement from {k: 6, l: 1, d: 2, b: 2, g: 2, n: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from ttttyyzytytttzy. Give prob of picking 2 z and 3 y.", "a": "10/3003" }, { "q": "What is prob of picking 1 l, 2 w, 1 a, and 1 i when five letters picked without replacement from {l: 4, i: 1, w: 9, a: 3, x: 3}?", "a": "9/323" }, { "q": "What is prob of picking 3 r and 2 s when five letters picked without replacement from rsssrrsrrr?", "a": "10/21" }, { "q": "Calculate prob of picking 1 x and 4 u when five letters picked without replacement from uxxxuuuxu.", "a": "10/63" }, { "q": "Five letters picked without replacement from {n: 3, j: 1, w: 3, k: 4, q: 8}. What is prob of picking 2 n and 3 w?", "a": "1/3876" }, { "q": "Calculate prob of picking 1 s and 4 p when five letters picked without replacement from yppyyyyyspyypppsy.", "a": "15/3094" }, { "q": "Five letters picked without replacement from {p: 1, y: 5, n: 1}. What is prob of picking 5 n?", "a": "0" }, { "q": "Five letters picked without replacement from {v: 1, t: 6, w: 2, z: 5, d: 4}. Give prob of picking 1 t, 1 z, and 3 d.", "a": "5/357" }, { "q": "Five letters picked without replacement from {g: 10, y: 7}. Give prob of picking 1 g and 4 y.", "a": "25/442" }, { "q": "Calculate prob of picking 1 o, 2 j, and 2 g when five letters picked without replacement from {j: 3, o: 1, g: 15}.", "a": "35/1292" }, { "q": "What is prob of picking 1 n, 3 u, and 1 y when five letters picked without replacement from ynuuyyu?", "a": "1/7" }, { "q": "Five letters picked without replacement from {k: 1, j: 1, s: 1, d: 5, v: 2}. What is prob of picking 1 k, 1 v, 2 d, and 1 s?", "a": "5/63" }, { "q": "What is prob of picking 1 o, 1 g, and 3 s when five letters picked without replacement from {o: 1, z: 1, g: 1, j: 1, s: 5}?", "a": "5/63" }, { "q": "Five letters picked without replacement from {w: 2, f: 5}. What is prob of picking 3 f and 2 w?", "a": "10/21" }, { "q": "Five letters picked without replacement from {a: 8, r: 3, h: 9}. Give prob of picking 3 h and 2 r.", "a": "21/1292" }, { "q": "Five letters picked without replacement from ndngngdddnnnnddddnn. What is prob of picking 2 d, 1 g, and 2 n?", "a": "56/323" }, { "q": "Five letters picked without replacement from {q: 1, n: 7, u: 2}. What is prob of picking 2 u, 2 n, and 1 q?", "a": "1/12" }, { "q": "What is prob of picking 2 x, 1 t, 1 v, and 1 a when five letters picked without replacement from {u: 1, x: 2, a: 4, s: 1, t: 2, v: 2}?", "a": "2/99" }, { "q": "Five letters picked without replacement from {o: 4, u: 5, q: 1, m: 5, f: 3}. Give prob of picking 1 f, 1 u, 2 o, and 1 q.", "a": "5/476" }, { "q": "Five letters picked without replacement from {w: 4, t: 5, u: 1}. Give prob of picking 5 t.", "a": "1/252" }, { "q": "Calculate prob of picking 4 h and 1 s when five letters picked without replacement from {h: 5, s: 9, n: 1}.", "a": "15/1001" }, { "q": "What is prob of picking 1 c, 1 f, 2 t, and 1 p when five letters picked without replacement from {e: 3, c: 7, f: 3, p: 1, t: 2}?", "a": "1/208" }, { "q": "Five letters picked without replacement from {s: 5, x: 4, e: 1, b: 5}. Give prob of picking 1 s, 2 b, and 2 x.", "a": "100/1001" }, { "q": "Five letters picked without replacement from {w: 8, t: 10, n: 1}. What is prob of picking 1 w and 4 t?", "a": "140/969" }, { "q": "Five letters picked without replacement from pptpnppnnpnnnpp. What is prob of picking 5 n?", "a": "2/1001" }, { "q": "What is prob of picking 2 d, 1 y, 1 q, and 1 t when five letters picked without replacement from {d: 3, i: 5, q: 1, l: 2, t: 2, y: 1}?", "a": "3/1001" }, { "q": "Calculate prob of picking 1 y, 3 w, and 1 z when five letters picked without replacement from {z: 3, i: 1, b: 2, y: 1, w: 5, d: 1}.", "a": "10/429" }, { "q": "Five letters picked without replacement from rrrrro. Give prob of picking 5 r.", "a": "1/6" }, { "q": "Calculate prob of picking 1 n, 2 x, and 2 d when five letters picked without replacement from nxxxdnnddnnndnxdn.", "a": "120/1547" }, { "q": "Five letters picked without replacement from bbjbjbb. What is prob of picking 1 j and 4 b?", "a": "10/21" }, { "q": "Calculate prob of picking 2 q and 3 u when five letters picked without replacement from {q: 9, u: 10}.", "a": "120/323" }, { "q": "Five letters picked without replacement from {y: 15, a: 5}. What is prob of picking 4 a and 1 y?", "a": "25/5168" }, { "q": "Calculate prob of picking 2 t, 2 o, and 1 s when five letters picked without replacement from {h: 1, t: 2, r: 8, s: 1, v: 1, o: 7}.", "a": "7/5168" }, { "q": "Calculate prob of picking 3 y and 2 f when five letters picked without replacement from {y: 8, f: 3}.", "a": "4/11" }, { "q": "Five letters picked without replacement from vddvvvvvdvddvdddd. What is prob of picking 3 d and 2 v?", "a": "84/221" }, { "q": "Five letters picked without replacement from syyssseyeysseeee. Give prob of picking 5 s.", "a": "1/728" }, { "q": "Calculate prob of picking 1 c, 1 a, 1 j, 1 x, and 1 t when five letters picked without replacement from {c: 4, x: 4, t: 2, a: 3, h: 1, j: 1}.", "a": "32/1001" }, { "q": "Calculate prob of picking 3 d and 2 b when five letters picked without replacement from bbdbbddddbbddbbbddb.", "a": "105/323" }, { "q": "Five letters picked without replacement from wwyywwworwoy. Give prob of picking 2 w, 1 o, and 2 y.", "a": "5/44" }, { "q": "Calculate prob of picking 1 j, 3 x, and 1 t when five letters picked without replacement from jbxjtvjxxxxjxytjy.", "a": "50/1547" }, { "q": "Five letters picked without replacement from niininninii. What is prob of picking 5 i?", "a": "1/77" }, { "q": "Five letters picked without replacement from {t: 5, y: 15}. What is prob of picking 1 t and 4 y?", "a": "2275/5168" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from nnnnnnnnss.", "a": "2/9" }, { "q": "Calculate prob of picking 3 h and 2 f when five letters picked without replacement from {v: 4, f: 4, h: 3}.", "a": "1/77" }, { "q": "Five letters picked without replacement from {g: 5, m: 2, j: 1, q: 4, d: 2}. Give prob of picking 2 d, 1 m, 1 g, and 1 q.", "a": "20/1001" }, { "q": "Calculate prob of picking 1 g and 4 z when five letters picked without replacement from ngggggnzggzggggzz.", "a": "11/6188" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from lllliiillilllloiil.", "a": "1/1428" }, { "q": "Calculate prob of picking 2 n, 1 a, 1 v, and 1 e when five letters picked without replacement from nffanzve.", "a": "1/56" }, { "q": "What is prob of picking 2 j and 3 m when five letters picked without replacement from {m: 6, j: 9}?", "a": "240/1001" }, { "q": "Calculate prob of picking 1 m, 2 o, and 2 t when five letters picked without replacement from muqobqoobutotbq.", "a": "2/1001" }, { "q": "Five letters picked without replacement from inivnvvnvvvvv. What is prob of picking 2 n, 2 i, and 1 v?", "a": "8/429" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gdgggdggggggdggg?", "a": "33/112" }, { "q": "Calculate prob of picking 1 x, 3 m, and 1 o when five letters picked without replacement from oxxmmoxmvxxxxxv.", "a": "16/3003" }, { "q": "Five letters picked without replacement from gllgglgglg. What is prob of picking 4 l and 1 g?", "a": "1/42" }, { "q": "What is prob of picking 2 b and 3 w when five letters picked without replacement from bbxwzowzow?", "a": "1/252" }, { "q": "Five letters picked without replacement from zzuzuunuzuzzunzu. What is prob of picking 3 u and 2 n?", "a": "5/624" }, { "q": "What is prob of picking 2 s and 3 g when five letters picked without replacement from sgsssgssgsssgsgs?", "a": "275/2184" }, { "q": "Five letters picked without replacement from {y: 8, c: 3, z: 1, u: 3, b: 3}. What is prob of picking 1 u, 1 c, and 3 y?", "a": "1/17" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from {g: 7, x: 2}.", "a": "1/6" }, { "q": "Five letters picked without replacement from ssppppsppssppsppspps. Give prob of picking 5 s.", "a": "7/1938" }, { "q": "Calculate prob of picking 1 x, 1 e, and 3 y when five letters picked without replacement from wzwxyxwwwwwyzwetzwy.", "a": "1/5814" }, { "q": "Five letters picked without replacement from ccnllllccnlcncnccc. Give prob of picking 4 n and 1 l.", "a": "5/8568" }, { "q": "Five letters picked without replacement from {j: 1, a: 2, b: 1, v: 2, k: 1, p: 6}. What is prob of picking 2 v, 1 b, and 2 p?", "a": "5/429" }, { "q": "Five letters picked without replacement from biiiibbbiiibiybibbii. What is prob of picking 4 b and 1 y?", "a": "35/7752" }, { "q": "What is prob of picking 1 o, 3 a, and 1 w when five letters picked without replacement from {y: 1, b: 2, w: 8, a: 3, u: 1, o: 1}?", "a": "1/546" }, { "q": "Calculate prob of picking 1 t, 2 n, and 2 i when five letters picked without replacement from hinihthinhni.", "a": "1/44" }, { "q": "Five letters picked without replacement from aahbnbaaobhn. What is prob of picking 3 n and 2 h?", "a": "0" }, { "q": "What is prob of picking 3 j and 2 r when five letters picked without replacement from rrjjrrrjjrjjrjrjrrrj?", "a": "385/1292" }, { "q": "What is prob of picking 3 p and 2 r when five letters picked without replacement from pprrraarrrrppprprar?", "a": "25/323" }, { "q": "Five letters picked without replacement from {d: 5, u: 12}. What is prob of picking 4 u and 1 d?", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {t: 4, k: 8, r: 8}. What is prob of picking 4 k and 1 r?", "a": "35/969" }, { "q": "Calculate prob of picking 1 u, 3 b, and 1 i when five letters picked without replacement from bbbibwbuw.", "a": "5/63" }, { "q": "Calculate prob of picking 1 j, 1 u, 2 m, and 1 n when five letters picked without replacement from {y: 1, n: 1, j: 1, m: 4, g: 6, u: 2}.", "a": "4/1001" }, { "q": "Five letters picked without replacement from pupuuduuppopuuddoudu. What is prob of picking 2 u and 3 d?", "a": "3/323" }, { "q": "Calculate prob of picking 2 y, 1 p, 1 w, and 1 v when five letters picked without replacement from {p: 1, w: 1, v: 8, y: 2}.", "a": "1/99" }, { "q": "Five letters picked without replacement from tggqqqqqqqctqt. What is prob of picking 1 g, 2 t, and 2 q?", "a": "12/143" }, { "q": "What is prob of picking 3 u and 2 x when five letters picked without replacement from {x: 8, u: 3}?", "a": "2/33" }, { "q": "Calculate prob of picking 1 u, 1 d, and 3 g when five letters picked without replacement from ugggudzddg.", "a": "2/21" }, { "q": "What is prob of picking 3 s and 2 z when five letters picked without replacement from {m: 1, z: 3, s: 9}?", "a": "28/143" }, { "q": "Five letters picked without replacement from yyyyyyyyybyybbby. What is prob of picking 4 b and 1 y?", "a": "1/364" }, { "q": "Calculate prob of picking 2 v and 3 w when five letters picked without replacement from wvwwvgww.", "a": "5/28" }, { "q": "What is prob of picking 2 c and 3 x when five letters picked without replacement from {z: 6, c: 2, x: 4}?", "a": "1/198" }, { "q": "Five letters picked without replacement from {c: 3, a: 5, y: 3, d: 8}. What is prob of picking 2 a, 1 c, and 2 y?", "a": "5/646" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from {w: 14, i: 5}?", "a": "1/11628" }, { "q": "What is prob of picking 1 k and 4 q when five letters picked without replacement from {q: 5, s: 6, b: 3, k: 2}?", "a": "5/2184" }, { "q": "Five letters picked without replacement from dvdccvjijccvvjjc. Give prob of picking 1 v, 2 c, and 2 j.", "a": "5/91" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from {q: 10, m: 4, x: 4}.", "a": "1/34" }, { "q": "Five letters picked without replacement from {d: 2, b: 4, i: 2, v: 2, p: 1, r: 1}. Give prob of picking 1 p, 2 d, 1 b, and 1 i.", "a": "1/99" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from ttmmmmmmtmmtt?", "a": "56/1287" }, { "q": "Five letters picked without replacement from kkkdukzug. What is prob of picking 4 k and 1 u?", "a": "1/63" }, { "q": "What is prob of picking 4 i and 1 n when five letters picked without replacement from ininfniiiifnfffffnf?", "a": "25/3876" }, { "q": "What is prob of picking 1 p, 1 a, 1 m, and 2 k when five letters picked without replacement from {e: 5, p: 1, m: 5, k: 3, v: 2, a: 1}?", "a": "15/6188" }, { "q": "Five letters picked without replacement from {v: 5, c: 4, u: 2, q: 1, f: 5, j: 1}. What is prob of picking 1 c, 1 u, 1 j, and 2 f?", "a": "10/1071" }, { "q": "Five letters picked without replacement from bfkkbfkbkkkkkbkkbkk. Give prob of picking 2 f and 3 b.", "a": "5/5814" }, { "q": "Calculate prob of picking 1 j, 2 k, 1 c, and 1 o when five letters picked without replacement from {j: 3, o: 2, f: 1, v: 2, c: 3, k: 3}.", "a": "27/1001" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from {c: 4, r: 7, k: 5}?", "a": "1/4368" }, { "q": "Five letters picked without replacement from eoeloeeelelelnell. Give prob of picking 2 o, 1 n, and 2 e.", "a": "1/221" }, { "q": "What is prob of picking 1 v, 3 w, and 1 f when five letters picked without replacement from {f: 5, w: 4, u: 1, v: 2, c: 2, q: 4}?", "a": "5/1071" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {n: 4, v: 4, c: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from exfxxdxlleelxxfepf. Give prob of picking 1 l, 3 f, and 1 e.", "a": "1/714" }, { "q": "What is prob of picking 2 x, 2 a, and 1 w when five letters picked without replacement from xwawawxaax?", "a": "3/14" }, { "q": "Five letters picked without replacement from jvmvmttmvvvt. What is prob of picking 1 t, 1 v, and 3 m?", "a": "5/264" }, { "q": "What is prob of picking 2 v, 2 a, and 1 b when five letters picked without replacement from {b: 4, q: 5, a: 3, v: 8}?", "a": "7/323" }, { "q": "Calculate prob of picking 2 h and 3 d when five letters picked without replacement from {d: 6, f: 2, h: 7}.", "a": "20/143" }, { "q": "Five letters picked without replacement from {o: 1, h: 1, i: 1, q: 2, v: 2, u: 1}. What is prob of picking 2 q, 2 v, and 1 h?", "a": "1/56" }, { "q": "Five letters picked without replacement from ivwibwibbdvddiidbba. Give prob of picking 4 i and 1 a.", "a": "5/11628" }, { "q": "Five letters picked without replacement from zvpzpizvpppvvgzzg. What is prob of picking 2 z and 3 v?", "a": "10/1547" }, { "q": "Five letters picked without replacement from {m: 1, v: 2, r: 2, h: 2, t: 1, p: 1}. What is prob of picking 1 m, 2 r, and 2 p?", "a": "0" }, { "q": "Five letters picked without replacement from rrrererererrerrr. Give prob of picking 5 r.", "a": "11/104" }, { "q": "Five letters picked without replacement from {p: 11, h: 3}. Give prob of picking 5 p.", "a": "3/13" }, { "q": "Five letters picked without replacement from {c: 2, l: 2, h: 1, d: 4, e: 8, t: 3}. What is prob of picking 2 e and 3 t?", "a": "7/3876" }, { "q": "Five letters picked without replacement from {n: 1, z: 1, o: 8, u: 3, g: 2}. Give prob of picking 1 o, 1 z, 1 g, and 2 u.", "a": "16/1001" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from {x: 11, d: 5}?", "a": "1/4368" }, { "q": "Five letters picked without replacement from {c: 6, y: 6, e: 3, m: 3, k: 1}. What is prob of picking 1 y, 3 c, and 1 e?", "a": "10/323" }, { "q": "What is prob of picking 3 j and 2 f when five letters picked without replacement from jfjxjjfxf?", "a": "2/21" }, { "q": "What is prob of picking 2 j, 2 d, and 1 r when five letters picked without replacement from rrdjdjadarqjrjja?", "a": "5/182" }, { "q": "What is prob of picking 1 x and 4 e when five letters picked without replacement from {l: 3, d: 3, x: 2, e: 3}?", "a": "0" }, { "q": "Five letters picked without replacement from nknnnnnnnnnnnnkn. What is prob of picking 3 n and 2 k?", "a": "1/12" }, { "q": "Five letters picked without replacement from {z: 1, l: 4, c: 2, d: 2, j: 2, g: 6}. Give prob of picking 1 j, 2 g, 1 z, and 1 c.", "a": "15/1547" }, { "q": "Calculate prob of picking 2 o, 1 a, and 2 f when five letters picked without replacement from {f: 2, a: 4, o: 5}.", "a": "20/231" }, { "q": "Five letters picked without replacement from bcpqpok. Give prob of picking 1 b, 1 k, 1 q, 1 c, and 1 o.", "a": "1/21" }, { "q": "What is prob of picking 1 p, 1 w, and 3 e when five letters picked without replacement from wrwepererpewgegeg?", "a": "30/1547" }, { "q": "Calculate prob of picking 3 x and 2 i when five letters picked without replacement from iiiixixxxixixxieiiii.", "a": "385/2584" }, { "q": "Five letters picked without replacement from {q: 7, d: 7}. What is prob of picking 3 d and 2 q?", "a": "105/286" }, { "q": "Five letters picked without replacement from gggggggqggg. What is prob of picking 5 g?", "a": "6/11" }, { "q": "Five letters picked without replacement from {z: 7, i: 4, q: 1, s: 1}. What is prob of picking 1 i, 1 q, and 3 z?", "a": "140/1287" }, { "q": "What is prob of picking 1 d, 1 s, 1 w, and 2 v when five letters picked without replacement from {d: 5, s: 4, w: 1, z: 3, v: 4}?", "a": "30/1547" }, { "q": "Five letters picked without replacement from uytycumttcuyytmyyt. What is prob of picking 1 c, 2 y, and 2 t?", "a": "25/714" }, { "q": "What is prob of picking 3 z, 1 u, and 1 q when five letters picked without replacement from {u: 3, b: 3, z: 4, q: 9}?", "a": "3/323" }, { "q": "Five letters picked without replacement from liexxllhhnelh. Give prob of picking 1 i, 1 e, and 3 h.", "a": "2/1287" }, { "q": "What is prob of picking 1 t, 2 g, and 2 o when five letters picked without replacement from gotgioigeloetootlo?", "a": "15/952" }, { "q": "Five letters picked without replacement from {k: 3, a: 2, x: 2, t: 4}. What is prob of picking 1 a, 2 t, and 2 x?", "a": "2/77" }, { "q": "What is prob of picking 1 y, 1 f, 1 z, and 2 m when five letters picked without replacement from {z: 4, m: 3, y: 2, f: 4, u: 2, q: 4}?", "a": "8/969" }, { "q": "What is prob of picking 1 y and 4 i when five letters picked without replacement from yiyiiiiiii?", "a": "5/9" }, { "q": "What is prob of picking 1 i, 1 x, and 3 o when five letters picked without replacement from xoxoqqoooxiii?", "a": "10/143" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yykkykkyy.", "a": "1/126" }, { "q": "What is prob of picking 3 r, 1 c, and 1 f when five letters picked without replacement from {q: 2, c: 1, r: 4, u: 1, f: 1}?", "a": "2/63" }, { "q": "Five letters picked without replacement from {b: 5, n: 2, q: 1}. Give prob of picking 1 q and 4 b.", "a": "5/56" }, { "q": "What is prob of picking 1 y, 1 s, and 3 l when five letters picked without replacement from {y: 2, l: 6, s: 2}?", "a": "20/63" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from {l: 6, g: 1}?", "a": "2/7" }, { "q": "Calculate prob of picking 3 d and 2 h when five letters picked without replacement from hddhhhhhdhhdh.", "a": "16/143" }, { "q": "What is prob of picking 3 g and 2 q when five letters picked without replacement from ooqogqqqoogqgq?", "a": "15/2002" }, { "q": "Calculate prob of picking 2 y and 3 t when five letters picked without replacement from tttvvtyytt.", "a": "5/63" }, { "q": "Five letters picked without replacement from nonbogo. What is prob of picking 1 b, 2 n, 1 g, and 1 o?", "a": "1/7" }, { "q": "Calculate prob of picking 2 r and 3 w when five letters picked without replacement from {c: 2, r: 5, w: 4}.", "a": "20/231" }, { "q": "What is prob of picking 1 t, 2 m, and 2 j when five letters picked without replacement from {m: 2, j: 2, s: 3, t: 3}?", "a": "1/84" }, { "q": "Five letters picked without replacement from {s: 5, e: 9}. Give prob of picking 5 s.", "a": "1/2002" }, { "q": "Five letters picked without replacement from {b: 3, y: 7, f: 9}. Give prob of picking 1 y and 4 f.", "a": "49/646" }, { "q": "Five letters picked without replacement from lalaabbalbbaalabl. What is prob of picking 2 a, 1 b, and 2 l?", "a": "75/442" }, { "q": "Calculate prob of picking 1 x and 4 u when five letters picked without replacement from {u: 4, s: 4, z: 5, x: 1}.", "a": "1/2002" }, { "q": "What is prob of picking 2 r, 2 p, and 1 g when five letters picked without replacement from rpppgprrrprppppgpr?", "a": "75/476" }, { "q": "Five letters picked without replacement from uuubbbub. Give prob of picking 2 u and 3 b.", "a": "3/7" }, { "q": "Five letters picked without replacement from {p: 10, y: 9}. What is prob of picking 5 y?", "a": "7/646" }, { "q": "Calculate prob of picking 1 i and 4 k when five letters picked without replacement from {i: 5, k: 6, x: 4}.", "a": "25/1001" }, { "q": "Five letters picked without replacement from {t: 10, l: 3, u: 1, a: 1, i: 2, r: 1}. Give prob of picking 1 u, 1 r, and 3 l.", "a": "1/8568" }, { "q": "Five letters picked without replacement from ifwlfwwlwil. Give prob of picking 2 l, 2 w, and 1 f.", "a": "6/77" }, { "q": "Five letters picked without replacement from {g: 7, h: 3, l: 4, e: 1}. What is prob of picking 2 g and 3 l?", "a": "4/143" }, { "q": "Five letters picked without replacement from {i: 1, y: 1, e: 3, b: 2, z: 2, t: 1}. What is prob of picking 1 i, 1 e, 1 t, and 2 z?", "a": "1/84" }, { "q": "What is prob of picking 3 l and 2 x when five letters picked without replacement from {x: 3, r: 6, l: 3}?", "a": "1/264" }, { "q": "Five letters picked without replacement from rrsgeraragr. What is prob of picking 3 a and 2 s?", "a": "0" }, { "q": "Five letters picked without replacement from ujyciuuiuiiuiiiicuuu. What is prob of picking 1 y, 2 i, 1 c, and 1 u?", "a": "28/969" }, { "q": "Five letters picked without replacement from {h: 1, n: 6, w: 3, x: 1}. Give prob of picking 3 n and 2 h.", "a": "0" }, { "q": "Five letters picked without replacement from {r: 1, o: 1, e: 1, q: 5, k: 2}. Give prob of picking 4 q and 1 k.", "a": "5/126" }, { "q": "Five letters picked without replacement from {l: 1, v: 2, o: 2, g: 1, r: 2}. Give prob of picking 3 g and 2 r.", "a": "0" }, { "q": "Five letters picked without replacement from {l: 4, n: 3, b: 4, v: 3, c: 4}. What is prob of picking 1 v, 3 n, and 1 b?", "a": "1/714" }, { "q": "Calculate prob of picking 1 j, 2 k, 1 x, and 1 u when five letters picked without replacement from sxuukxkj.", "a": "1/14" }, { "q": "Five letters picked without replacement from uuuuuuuuu. What is prob of picking 5 u?", "a": "1" }, { "q": "What is prob of picking 1 q and 4 o when five letters picked without replacement from ooqqqnoooq?", "a": "5/63" }, { "q": "Five letters picked without replacement from {z: 8}. Give prob of picking 5 z.", "a": "1" }, { "q": "Five letters picked without replacement from fkfhfhkhfkfhfhkkkkhf. What is prob of picking 1 k, 1 f, and 3 h?", "a": "245/3876" }, { "q": "Calculate prob of picking 3 p and 2 h when five letters picked without replacement from {p: 7, h: 8}.", "a": "140/429" }, { "q": "Five letters picked without replacement from yyylylyyyyy. Give prob of picking 1 l and 4 y.", "a": "6/11" }, { "q": "Five letters picked without replacement from {j: 14, l: 6}. What is prob of picking 3 j and 2 l?", "a": "455/1292" }, { "q": "Calculate prob of picking 1 e, 1 r, and 3 d when five letters picked without replacement from redjdljkrelrdjkjlld.", "a": "2/969" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wwwwwmwmmmmwwmwnmmm?", "a": "7/646" }, { "q": "Five letters picked without replacement from {o: 12, k: 4, g: 4}. What is prob of picking 2 g, 1 o, and 2 k?", "a": "9/323" }, { "q": "Five letters picked without replacement from {r: 7, u: 1, p: 7}. What is prob of picking 4 p and 1 u?", "a": "5/429" }, { "q": "Five letters picked without replacement from {u: 7, l: 2, d: 6}. Give prob of picking 1 u, 2 l, and 2 d.", "a": "5/143" }, { "q": "Five letters picked without replacement from {c: 8, o: 1, s: 3, h: 3}. What is prob of picking 1 c, 1 o, and 3 s?", "a": "8/3003" }, { "q": "What is prob of picking 3 g and 2 v when five letters picked without replacement from ggvvvgggggvggggvvv?", "a": "55/136" }, { "q": "Five letters picked without replacement from nxnpnpppwxnwrx. What is prob of picking 2 w, 2 n, and 1 x?", "a": "9/1001" }, { "q": "What is prob of picking 2 j and 3 l when five letters picked without replacement from {j: 7, l: 11}?", "a": "55/136" }, { "q": "Five letters picked without replacement from gsgyaaaslakaalg. What is prob of picking 1 k, 1 g, 1 a, 1 l, and 1 s?", "a": "24/1001" }, { "q": "Five letters picked without replacement from {e: 7, c: 12}. What is prob of picking 1 c and 4 e?", "a": "35/969" }, { "q": "What is prob of picking 3 q and 2 k when five letters picked without replacement from hqwwwwwqjjkqkkwkkqj?", "a": "10/2907" }, { "q": "Calculate prob of picking 1 p and 4 u when five letters picked without replacement from uuhupuuhuuhh.", "a": "35/792" }, { "q": "Calculate prob of picking 2 d, 2 k, and 1 a when five letters picked without replacement from {a: 3, d: 5, k: 4}.", "a": "5/22" }, { "q": "What is prob of picking 2 i, 1 v, and 2 k when five letters picked without replacement from {v: 8, z: 3, k: 4, i: 4}?", "a": "8/323" }, { "q": "What is prob of picking 3 h and 2 d when five letters picked without replacement from {d: 6, h: 3}?", "a": "5/42" }, { "q": "What is prob of picking 2 j and 3 b when five letters picked without replacement from {b: 5, j: 15}?", "a": "175/2584" }, { "q": "Five letters picked without replacement from uhhhuuz. What is prob of picking 2 u, 2 h, and 1 z?", "a": "3/7" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {j: 6, m: 2, t: 1, x: 11}?", "a": "1/2584" }, { "q": "Calculate prob of picking 1 a, 1 y, and 3 n when five letters picked without replacement from {y: 4, a: 1, r: 1, o: 1, n: 1, k: 2}.", "a": "0" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from zfzfffzffffzfff?", "a": "0" }, { "q": "What is prob of picking 2 v and 3 w when five letters picked without replacement from {v: 1, c: 5, m: 2, w: 2, x: 1}?", "a": "0" }, { "q": "Calculate prob of picking 3 m and 2 o when five letters picked without replacement from {k: 4, m: 5, o: 2}.", "a": "5/231" }, { "q": "Calculate prob of picking 2 j and 3 b when five letters picked without replacement from bjjbjbbjbbbbj.", "a": "560/1287" }, { "q": "Calculate prob of picking 2 k, 1 w, and 2 j when five letters picked without replacement from kjkweekekkkkkj.", "a": "2/143" }, { "q": "Five letters picked without replacement from {t: 3, g: 1, p: 9}. Give prob of picking 3 p and 2 t.", "a": "28/143" }, { "q": "Five letters picked without replacement from ffrrfffrffdqffdfd. What is prob of picking 3 d, 1 q, and 1 f?", "a": "5/3094" }, { "q": "Five letters picked without replacement from iixxxxixxxxxxiviixiv. Give prob of picking 1 i and 4 x.", "a": "385/2584" }, { "q": "Five letters picked without replacement from yyppzpyyyypoypyy. What is prob of picking 5 p?", "a": "1/4368" }, { "q": "What is prob of picking 1 w, 2 l, and 2 q when five letters picked without replacement from {v: 3, w: 5, q: 3, l: 3}?", "a": "45/2002" }, { "q": "What is prob of picking 2 m and 3 b when five letters picked without replacement from bmmmmmmmmmmmmmmbmbmm?", "a": "1/114" }, { "q": "Calculate prob of picking 1 f and 4 m when five letters picked without replacement from mfmfmmfmmmfmfmff.", "a": "21/104" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from {h: 7, z: 5, b: 3}?", "a": "1/3003" }, { "q": "Five letters picked without replacement from {j: 4, l: 8}. Give prob of picking 5 l.", "a": "7/99" }, { "q": "Calculate prob of picking 1 o and 4 h when five letters picked without replacement from mmooohhoomhomommhm.", "a": "1/1224" }, { "q": "Calculate prob of picking 3 v and 2 d when five letters picked without replacement from {v: 5, b: 1, d: 3}.", "a": "5/21" }, { "q": "Five letters picked without replacement from {g: 5}. Give prob of picking 5 g.", "a": "1" }, { "q": "Five letters picked without replacement from zrrvzawwzavwarvwzzrr. What is prob of picking 3 w and 2 z?", "a": "5/1938" }, { "q": "What is prob of picking 1 g, 2 k, and 2 l when five letters picked without replacement from {g: 5, l: 2, k: 2}?", "a": "5/126" }, { "q": "Calculate prob of picking 2 b, 2 s, and 1 d when five letters picked without replacement from {e: 1, d: 3, b: 2, i: 3, s: 2, n: 2}.", "a": "1/429" }, { "q": "What is prob of picking 2 m and 3 r when five letters picked without replacement from mmzrmkrrzmr?", "a": "4/77" }, { "q": "Five letters picked without replacement from eeefeeeeeeeeeeeeeee. What is prob of picking 4 e and 1 f?", "a": "5/19" }, { "q": "What is prob of picking 2 h, 1 t, and 2 b when five letters picked without replacement from {t: 1, h: 4, d: 1, b: 2, i: 2, p: 1}?", "a": "1/77" }, { "q": "Five letters picked without replacement from {y: 4, e: 4, r: 8, q: 4}. What is prob of picking 1 y and 4 r?", "a": "35/1938" }, { "q": "Calculate prob of picking 3 u, 1 d, and 1 k when five letters picked without replacement from kdwuuur.", "a": "1/21" }, { "q": "Five letters picked without replacement from {i: 3, b: 15}. Give prob of picking 1 i and 4 b.", "a": "65/136" }, { "q": "Calculate prob of picking 4 t and 1 d when five letters picked without replacement from dtptnptfdpvtnntdt.", "a": "45/6188" }, { "q": "Five letters picked without replacement from {p: 17, z: 3}. Give prob of picking 2 p and 3 z.", "a": "1/114" }, { "q": "What is prob of picking 1 e, 1 z, 1 b, and 2 c when five letters picked without replacement from cpecebebcezeccccz?", "a": "15/221" }, { "q": "What is prob of picking 1 x, 1 v, 2 t, and 1 c when five letters picked without replacement from ctvtnuxt?", "a": "3/56" }, { "q": "Calculate prob of picking 2 d and 3 i when five letters picked without replacement from ddididdddddidd.", "a": "5/182" }, { "q": "Five letters picked without replacement from {v: 1, z: 3, n: 1}. What is prob of picking 3 z and 2 v?", "a": "0" }, { "q": "Five letters picked without replacement from rrqrqqrrqr. Give prob of picking 2 r and 3 q.", "a": "5/21" }, { "q": "What is prob of picking 4 a and 1 m when five letters picked without replacement from {m: 2, w: 6, d: 1, a: 7}?", "a": "5/312" }, { "q": "Five letters picked without replacement from {a: 5, m: 8, n: 7}. Give prob of picking 4 m and 1 a.", "a": "175/7752" }, { "q": "Calculate prob of picking 1 p, 1 c, and 3 e when five letters picked without replacement from {c: 3, j: 2, e: 3, y: 6, p: 2}.", "a": "1/728" }, { "q": "Five letters picked without replacement from {n: 7, s: 6}. Give prob of picking 5 s.", "a": "2/429" }, { "q": "Calculate prob of picking 1 a, 1 g, and 3 r when five letters picked without replacement from rrrcccagaggrrrrr.", "a": "1/13" }, { "q": "Calculate prob of picking 4 f and 1 g when five letters picked without replacement from {g: 10, f: 4, v: 2}.", "a": "5/2184" }, { "q": "Five letters picked without replacement from itkiiitt. What is prob of picking 3 i and 2 t?", "a": "3/14" }, { "q": "What is prob of picking 4 n and 1 b when five letters picked without replacement from {b: 3, n: 7}?", "a": "5/12" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from kkkkkkkkk?", "a": "1" }, { "q": "Five letters picked without replacement from {i: 3, z: 6, s: 5}. What is prob of picking 5 s?", "a": "1/2002" }, { "q": "What is prob of picking 1 s, 3 f, and 1 c when five letters picked without replacement from {w: 8, s: 1, u: 2, c: 1, f: 3}?", "a": "1/3003" }, { "q": "Calculate prob of picking 4 g and 1 m when five letters picked without replacement from {g: 15, m: 5}.", "a": "2275/5168" }, { "q": "Five letters picked without replacement from {v: 11, p: 4}. What is prob of picking 5 v?", "a": "2/13" }, { "q": "What is prob of picking 1 b and 4 c when five letters picked without replacement from bbbbcccbbccbcbbccb?", "a": "25/306" }, { "q": "Five letters picked without replacement from qvquqvuqvqqvu. What is prob of picking 2 q and 3 u?", "a": "5/429" }, { "q": "Calculate prob of picking 1 j, 2 y, and 2 e when five letters picked without replacement from yeeeyj.", "a": "1/2" }, { "q": "What is prob of picking 3 v and 2 j when five letters picked without replacement from {a: 3, j: 2, v: 6, y: 8}?", "a": "5/2907" }, { "q": "Five letters picked without replacement from {x: 9, o: 11}. Give prob of picking 5 x.", "a": "21/2584" }, { "q": "Five letters picked without replacement from fflffie. What is prob of picking 3 e and 2 i?", "a": "0" }, { "q": "What is prob of picking 3 z and 2 n when five letters picked without replacement from {n: 3, z: 15}?", "a": "65/408" }, { "q": "What is prob of picking 3 q, 1 m, and 1 f when five letters picked without replacement from kooikikqffmqqo?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {h: 8, n: 8}. Give prob of picking 5 n.", "a": "1/78" }, { "q": "What is prob of picking 2 d, 2 m, and 1 l when five letters picked without replacement from ylmmyqmdddml?", "a": "1/22" }, { "q": "Five letters picked without replacement from {i: 12, r: 5}. Give prob of picking 4 i and 1 r.", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {m: 3, n: 1, r: 4}. Give prob of picking 1 n and 4 r.", "a": "1/56" }, { "q": "Calculate prob of picking 4 d and 1 f when five letters picked without replacement from dddddddfdddfdddd.", "a": "11/24" }, { "q": "Five letters picked without replacement from scwswsssssccwss. Give prob of picking 2 s, 1 w, and 2 c.", "a": "108/1001" }, { "q": "Calculate prob of picking 3 v and 2 e when five letters picked without replacement from {v: 13, e: 6}.", "a": "715/1938" }, { "q": "Calculate prob of picking 1 h, 3 t, and 1 c when five letters picked without replacement from ttqqtqqhttcqh.", "a": "20/1287" }, { "q": "What is prob of picking 1 k and 4 r when five letters picked without replacement from {o: 1, k: 2, j: 7, p: 2, r: 6}?", "a": "5/1428" }, { "q": "Calculate prob of picking 2 o, 1 v, 1 p, and 1 f when five letters picked without replacement from {f: 1, v: 1, p: 6, o: 7}.", "a": "6/143" }, { "q": "Five letters picked without replacement from bnbnbnnnbbbbbbnbnnb. Give prob of picking 5 n.", "a": "14/2907" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from {d: 5, f: 10}.", "a": "1/3003" }, { "q": "Five letters picked without replacement from nijijniiniij. Give prob of picking 5 i.", "a": "1/132" }, { "q": "Calculate prob of picking 1 q, 2 o, and 2 s when five letters picked without replacement from {e: 1, s: 2, o: 2, k: 1, q: 6, l: 3}.", "a": "2/1001" }, { "q": "What is prob of picking 1 j, 2 w, and 2 u when five letters picked without replacement from uuujwwwwuuwjuuwuppp?", "a": "70/969" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from uxubcuvuqbuuqvb?", "a": "2/1001" }, { "q": "What is prob of picking 2 y and 3 x when five letters picked without replacement from {y: 6, f: 2, x: 3}?", "a": "5/154" }, { "q": "What is prob of picking 1 w, 1 g, and 3 v when five letters picked without replacement from awwaveaeavgaegev?", "a": "1/1092" }, { "q": "Five letters picked without replacement from {t: 6, g: 8}. What is prob of picking 5 t?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {u: 3, b: 13, n: 2}. What is prob of picking 3 b, 1 u, and 1 n?", "a": "143/714" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sywwssyssws?", "a": "1/77" }, { "q": "Five letters picked without replacement from xcxcxccnxxcxcbnjb. Give prob of picking 1 j, 1 b, and 3 c.", "a": "10/1547" }, { "q": "What is prob of picking 3 k and 2 i when five letters picked without replacement from ikiiikiiiiivkki?", "a": "60/1001" }, { "q": "Calculate prob of picking 1 w, 3 d, and 1 i when five letters picked without replacement from wdwdwdddiddo.", "a": "35/264" }, { "q": "Five letters picked without replacement from ajjaacjajja. What is prob of picking 2 j and 3 a?", "a": "50/231" }, { "q": "What is prob of picking 1 b, 1 q, 1 w, 1 u, and 1 i when five letters picked without replacement from uwwiuiwuqiuiuwwbuu?", "a": "5/306" }, { "q": "Five letters picked without replacement from {o: 8}. Give prob of picking 5 o.", "a": "1" }, { "q": "Five letters picked without replacement from rryyyryrrryyryryrry. What is prob of picking 5 y?", "a": "7/646" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from glhgllllglll.", "a": "7/99" }, { "q": "Five letters picked without replacement from nnngnngnnn. Give prob of picking 2 g and 3 n.", "a": "2/9" }, { "q": "Five letters picked without replacement from nnnnxxxnnnnnx. What is prob of picking 4 x and 1 n?", "a": "1/143" }, { "q": "Five letters picked without replacement from {x: 3, b: 4, u: 2, g: 1, i: 4, a: 2}. Give prob of picking 1 i, 1 x, 1 b, and 2 a.", "a": "1/91" }, { "q": "Five letters picked without replacement from {i: 9, f: 2, a: 2}. Give prob of picking 1 f, 2 a, and 2 i.", "a": "8/143" }, { "q": "Calculate prob of picking 1 n, 2 g, 1 t, and 1 r when five letters picked without replacement from {p: 6, j: 3, g: 2, t: 3, n: 2, r: 4}.", "a": "1/646" }, { "q": "What is prob of picking 3 o, 1 e, and 1 s when five letters picked without replacement from owfsroooeooosoeoow?", "a": "20/357" }, { "q": "Calculate prob of picking 2 s and 3 q when five letters picked without replacement from {q: 5, s: 5}.", "a": "25/63" }, { "q": "What is prob of picking 2 x and 3 e when five letters picked without replacement from bebbxebxbeebe?", "a": "10/1287" }, { "q": "Calculate prob of picking 3 r and 2 c when five letters picked without replacement from {r: 3, c: 4, i: 6}.", "a": "2/429" }, { "q": "What is prob of picking 2 r and 3 i when five letters picked without replacement from riiiiriiii?", "a": "2/9" }, { "q": "Five letters picked without replacement from ekeeyygegegyyeeyye. Give prob of picking 4 e and 1 g.", "a": "5/204" }, { "q": "What is prob of picking 4 d and 1 h when five letters picked without replacement from {o: 3, h: 4, m: 1, d: 5, a: 1}?", "a": "10/1001" }, { "q": "Five letters picked without replacement from uamrvucrr. Give prob of picking 1 m, 1 u, 2 c, and 1 v.", "a": "0" }, { "q": "Five letters picked without replacement from xxnnxnxxxxnxxn. Give prob of picking 5 n.", "a": "1/2002" }, { "q": "Calculate prob of picking 1 u, 2 m, and 2 r when five letters picked without replacement from {m: 2, k: 2, r: 5, u: 3}.", "a": "5/132" }, { "q": "Calculate prob of picking 3 e, 1 p, and 1 y when five letters picked without replacement from {e: 5, p: 2, y: 3}.", "a": "5/21" }, { "q": "What is prob of picking 2 h and 3 e when five letters picked without replacement from hehheehh?", "a": "5/28" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yyhyyyyhyyhyyyyyyyyy.", "a": "91/228" }, { "q": "Five letters picked without replacement from uduuuuudddd. Give prob of picking 1 d and 4 u.", "a": "25/154" }, { "q": "Five letters picked without replacement from lmsoslmloblobgmbgmbb. What is prob of picking 1 g, 2 l, and 2 m?", "a": "3/646" }, { "q": "Five letters picked without replacement from xfxffxxxx. Give prob of picking 4 x and 1 f.", "a": "5/14" }, { "q": "What is prob of picking 4 q and 1 b when five letters picked without replacement from {q: 4, g: 4, a: 5, b: 3}?", "a": "1/1456" }, { "q": "Five letters picked without replacement from {b: 3, t: 13}. What is prob of picking 5 t?", "a": "33/112" }, { "q": "Calculate prob of picking 1 c, 1 e, 1 x, and 2 w when five letters picked without replacement from {w: 2, e: 2, f: 1, x: 1, c: 2}.", "a": "1/14" }, { "q": "Five letters picked without replacement from hhoqqhhussqhhh. What is prob of picking 2 q, 1 u, and 2 s?", "a": "3/2002" }, { "q": "What is prob of picking 1 d, 1 r, 1 p, and 2 b when five letters picked without replacement from {d: 1, b: 5, p: 2, y: 1, r: 10}?", "a": "50/2907" }, { "q": "Five letters picked without replacement from rrrrrrrwrwwrwrrww. Give prob of picking 1 w and 4 r.", "a": "495/1547" }, { "q": "Calculate prob of picking 4 j and 1 o when five letters picked without replacement from ijjovjviivjoijjjii.", "a": "5/612" }, { "q": "Five letters picked without replacement from {d: 10, c: 6}. Give prob of picking 2 c and 3 d.", "a": "75/182" }, { "q": "Calculate prob of picking 2 l, 2 z, and 1 c when five letters picked without replacement from {x: 3, z: 3, c: 3, l: 6, f: 2}.", "a": "135/6188" }, { "q": "Five letters picked without replacement from grrstsrqqqzqsrszqqr. What is prob of picking 1 r, 1 s, 2 z, and 1 q?", "a": "10/969" }, { "q": "Five letters picked without replacement from tgdtftoy. What is prob of picking 2 f, 2 g, and 1 o?", "a": "0" }, { "q": "Five letters picked without replacement from {l: 3, s: 5}. Give prob of picking 2 s and 3 l.", "a": "5/28" }, { "q": "Five letters picked without replacement from fbblnfxblnlnfbllll. What is prob of picking 1 n, 1 l, 1 x, and 2 b?", "a": "1/68" }, { "q": "Five letters picked without replacement from {d: 1, x: 6}. What is prob of picking 5 x?", "a": "2/7" }, { "q": "What is prob of picking 4 p and 1 l when five letters picked without replacement from qxpxppvppxqxplpppp?", "a": "5/204" }, { "q": "Calculate prob of picking 2 n and 3 w when five letters picked without replacement from nnwwnwwwwwnnnw.", "a": "60/143" }, { "q": "Five letters picked without replacement from fzzffzzfzz. What is prob of picking 4 z and 1 f?", "a": "5/21" }, { "q": "Calculate prob of picking 1 i, 2 v, and 2 j when five letters picked without replacement from {p: 5, l: 3, j: 5, v: 3, i: 3}.", "a": "5/646" }, { "q": "Five letters picked without replacement from {f: 2, p: 4, y: 4}. Give prob of picking 1 f and 4 y.", "a": "1/126" }, { "q": "What is prob of picking 1 q, 1 p, 2 d, and 1 c when five letters picked without replacement from {d: 2, p: 1, q: 1, c: 1, f: 1}?", "a": "1/6" }, { "q": "Five letters picked without replacement from qqzqyqqyqqyyyyqyyyzy. Give prob of picking 2 q and 3 y.", "a": "70/323" }, { "q": "What is prob of picking 3 y, 1 a, and 1 f when five letters picked without replacement from {f: 2, a: 3, y: 3, m: 4}?", "a": "1/132" }, { "q": "Calculate prob of picking 2 i, 1 g, and 2 m when five letters picked without replacement from mmmimmgmggmggmmigg.", "a": "1/34" }, { "q": "Calculate prob of picking 1 n and 4 t when five letters picked without replacement from vtttotnt.", "a": "5/56" }, { "q": "Calculate prob of picking 4 s and 1 h when five letters picked without replacement from {h: 1, s: 8}.", "a": "5/9" }, { "q": "Five letters picked without replacement from uouuoouuuoouu. What is prob of picking 5 o?", "a": "1/1287" }, { "q": "Five letters picked without replacement from ffjjjjjjjjjjf. What is prob of picking 5 j?", "a": "28/143" }, { "q": "Calculate prob of picking 1 k, 1 e, and 3 w when five letters picked without replacement from wwcwcewcewwwwk.", "a": "8/143" }, { "q": "Five letters picked without replacement from {d: 6, r: 4, f: 4, z: 4}. What is prob of picking 1 f, 3 z, and 1 d?", "a": "4/357" }, { "q": "Five letters picked without replacement from eekckefckyykfff. What is prob of picking 2 f, 2 e, and 1 c?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {d: 9, t: 6}. Give prob of picking 4 t and 1 d.", "a": "45/1001" }, { "q": "Five letters picked without replacement from {i: 5, o: 1, n: 4, v: 2}. Give prob of picking 1 n, 3 i, and 1 o.", "a": "5/99" }, { "q": "Calculate prob of picking 4 k and 1 f when five letters picked without replacement from {f: 5, s: 1, v: 1, k: 9}.", "a": "15/104" }, { "q": "What is prob of picking 1 y and 4 l when five letters picked without replacement from {l: 8, y: 8}?", "a": "5/39" }, { "q": "Calculate prob of picking 2 i, 2 n, and 1 d when five letters picked without replacement from {c: 2, d: 3, i: 4, u: 1, n: 2}.", "a": "1/44" }, { "q": "What is prob of picking 2 z, 1 b, 1 t, and 1 r when five letters picked without replacement from utzztbturtzzz?", "a": "40/1287" }, { "q": "Five letters picked without replacement from {a: 1, n: 1, j: 1, w: 1, y: 2, g: 1}. What is prob of picking 3 g, 1 y, and 1 a?", "a": "0" }, { "q": "Five letters picked without replacement from {m: 1, l: 2, u: 3, x: 1, g: 1, z: 1}. What is prob of picking 1 l, 1 m, 1 z, and 2 u?", "a": "1/21" }, { "q": "What is prob of picking 2 e and 3 b when five letters picked without replacement from ebbebeeeebebbb?", "a": "105/286" }, { "q": "Five letters picked without replacement from {l: 1, v: 5}. What is prob of picking 5 v?", "a": "1/6" }, { "q": "What is prob of picking 2 q and 3 o when five letters picked without replacement from oqqoqoo?", "a": "4/7" }, { "q": "Five letters picked without replacement from {s: 1, q: 11, n: 6}. What is prob of picking 4 q and 1 s?", "a": "55/1428" }, { "q": "What is prob of picking 2 u, 2 h, and 1 w when five letters picked without replacement from huuhuuwuyuwwwuuuuuy?", "a": "55/2907" }, { "q": "Five letters picked without replacement from {x: 2, p: 1, n: 1, s: 4}. Give prob of picking 5 s.", "a": "0" }, { "q": "Five letters picked without replacement from ymyymeoyywmweywwoooy. What is prob of picking 3 o and 2 y?", "a": "7/1292" }, { "q": "Five letters picked without replacement from iiiccccci. Give prob of picking 4 i and 1 c.", "a": "5/126" }, { "q": "What is prob of picking 1 v and 4 c when five letters picked without replacement from {c: 9, v: 2, m: 1}?", "a": "7/22" }, { "q": "Calculate prob of picking 4 k and 1 f when five letters picked without replacement from kfkkkbkbkbbbbkbbfb.", "a": "5/612" }, { "q": "Five letters picked without replacement from qjjjqqqjjjjjjjq. Give prob of picking 5 q.", "a": "1/3003" }, { "q": "Five letters picked without replacement from rvvrvrvv. Give prob of picking 1 r and 4 v.", "a": "15/56" }, { "q": "Calculate prob of picking 1 u and 4 i when five letters picked without replacement from dxlduldidliudiddllid.", "a": "1/7752" }, { "q": "Five letters picked without replacement from {a: 4, v: 5}. What is prob of picking 3 a and 2 v?", "a": "20/63" }, { "q": "What is prob of picking 2 d and 3 l when five letters picked without replacement from {l: 11, w: 1, d: 7}?", "a": "385/1292" }, { "q": "Five letters picked without replacement from uluuuuuuuuuuul. What is prob of picking 3 u and 2 l?", "a": "10/91" }, { "q": "Five letters picked without replacement from {x: 5, g: 5, t: 2, h: 7}. Give prob of picking 3 g, 1 h, and 1 t.", "a": "35/2907" }, { "q": "Five letters picked without replacement from {u: 2, t: 7}. Give prob of picking 4 t and 1 u.", "a": "5/9" }, { "q": "Calculate prob of picking 4 x and 1 e when five letters picked without replacement from {e: 7, x: 4}.", "a": "1/66" }, { "q": "What is prob of picking 1 y and 4 e when five letters picked without replacement from {y: 4, e: 7}?", "a": "10/33" }, { "q": "Calculate prob of picking 1 p, 2 w, and 2 l when five letters picked without replacement from {u: 2, m: 1, l: 4, n: 3, w: 1, p: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from zzzzppz. Give prob of picking 1 p and 4 z.", "a": "10/21" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from {l: 8, d: 8}?", "a": "1/78" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from nwnnnnnnfnfnnnn.", "a": "24/91" }, { "q": "Calculate prob of picking 1 k and 4 j when five letters picked without replacement from {k: 4, j: 9}.", "a": "56/143" }, { "q": "Five letters picked without replacement from lllmzdldmddl. What is prob of picking 2 l, 2 d, and 1 m?", "a": "5/33" }, { "q": "Calculate prob of picking 1 n, 1 i, and 3 h when five letters picked without replacement from {n: 14, h: 3, i: 1}.", "a": "1/612" }, { "q": "Five letters picked without replacement from {v: 1, q: 4, o: 2, z: 2, n: 2}. Give prob of picking 1 n and 4 q.", "a": "1/231" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from ffrbbtbpbfrbfppff.", "a": "3/3094" }, { "q": "Calculate prob of picking 1 w, 2 n, and 2 i when five letters picked without replacement from iiwnwwwn.", "a": "1/14" }, { "q": "Five letters picked without replacement from {l: 10, g: 6}. What is prob of picking 5 g?", "a": "1/728" }, { "q": "Five letters picked without replacement from {j: 1, o: 7, d: 1}. Give prob of picking 5 o.", "a": "1/6" }, { "q": "What is prob of picking 2 i and 3 a when five letters picked without replacement from {i: 7, p: 2, e: 1, a: 5}?", "a": "10/143" }, { "q": "What is prob of picking 4 v and 1 r when five letters picked without replacement from {v: 10, o: 6, r: 3}?", "a": "35/646" }, { "q": "Five letters picked without replacement from ereggggrrgegregge. Give prob of picking 2 r and 3 g.", "a": "12/221" }, { "q": "Five letters picked without replacement from {f: 6, d: 8, p: 6}. What is prob of picking 1 d, 2 f, and 2 p?", "a": "75/646" }, { "q": "Calculate prob of picking 3 x, 1 g, and 1 p when five letters picked without replacement from zxwpllgx.", "a": "0" }, { "q": "Calculate prob of picking 2 g, 2 l, and 1 r when five letters picked without replacement from {p: 1, o: 5, l: 3, g: 2, r: 2}.", "a": "2/429" }, { "q": "Calculate prob of picking 1 c, 1 g, and 3 x when five letters picked without replacement from bccxcxxgbxgxbgxxcu.", "a": "5/102" }, { "q": "Five letters picked without replacement from {b: 4, s: 1, d: 1}. Give prob of picking 4 b and 1 s.", "a": "1/6" }, { "q": "Five letters picked without replacement from {v: 9, r: 2, h: 7}. Give prob of picking 2 r and 3 h.", "a": "5/1224" }, { "q": "Calculate prob of picking 2 o, 2 r, and 1 f when five letters picked without replacement from qfofrfoqurqr.", "a": "1/88" }, { "q": "Five letters picked without replacement from {u: 10, o: 8}. What is prob of picking 4 u and 1 o?", "a": "10/51" }, { "q": "Five letters picked without replacement from cssssccscscssctscsss. Give prob of picking 2 c and 3 s.", "a": "385/1292" }, { "q": "What is prob of picking 1 y, 2 c, and 2 p when five letters picked without replacement from ppcycycg?", "a": "3/28" }, { "q": "What is prob of picking 2 d and 3 a when five letters picked without replacement from dddddddadddaadddddda?", "a": "10/323" }, { "q": "Five letters picked without replacement from oskosmkkkosoom. Give prob of picking 1 k, 2 o, and 2 m.", "a": "20/1001" }, { "q": "Five letters picked without replacement from {k: 3, o: 1, j: 4, i: 4, a: 4}. What is prob of picking 1 a and 4 i?", "a": "1/1092" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from bgbbgggggggggbgggggg.", "a": "91/323" }, { "q": "What is prob of picking 2 c and 3 s when five letters picked without replacement from ccccccscscscsc?", "a": "90/1001" }, { "q": "Calculate prob of picking 1 j, 2 q, and 2 p when five letters picked without replacement from uqjupuquupqjujpjuuq.", "a": "2/323" }, { "q": "What is prob of picking 3 e, 1 z, and 1 f when five letters picked without replacement from {z: 1, e: 3, i: 2, f: 1, h: 5}?", "a": "1/792" }, { "q": "Five letters picked without replacement from zzclzzzzzddczzddmz. Give prob of picking 1 c, 1 z, and 3 d.", "a": "10/1071" }, { "q": "Five letters picked without replacement from ddmmdqd. What is prob of picking 3 d, 1 m, and 1 q?", "a": "8/21" }, { "q": "What is prob of picking 2 s, 2 n, and 1 v when five letters picked without replacement from {j: 4, n: 8, v: 1, s: 2, m: 2}?", "a": "1/221" }, { "q": "Five letters picked without replacement from {c: 1, w: 2, l: 4, y: 2, v: 3}. What is prob of picking 1 y, 2 w, 1 c, and 1 l?", "a": "1/99" }, { "q": "Calculate prob of picking 3 j and 2 i when five letters picked without replacement from iiijiiiiiiijojijj.", "a": "275/3094" }, { "q": "Five letters picked without replacement from gujjugej. What is prob of picking 3 u and 2 j?", "a": "0" }, { "q": "What is prob of picking 2 p, 1 q, and 2 j when five letters picked without replacement from ccupqjjclppuucccqpl?", "a": "1/969" }, { "q": "What is prob of picking 1 v and 4 z when five letters picked without replacement from {v: 7, z: 10}?", "a": "105/442" }, { "q": "Calculate prob of picking 2 g, 1 s, and 2 p when five letters picked without replacement from ssssssssggssspssgp.", "a": "13/2856" }, { "q": "Calculate prob of picking 1 y, 1 w, 2 z, and 1 t when five letters picked without replacement from {w: 3, y: 1, o: 1, i: 1, z: 2, t: 3}.", "a": "3/154" }, { "q": "Five letters picked without replacement from nknknkkkknk. Give prob of picking 3 k and 2 n.", "a": "5/11" }, { "q": "What is prob of picking 2 q, 1 j, and 2 t when five letters picked without replacement from ttjjjqtqqttt?", "a": "15/88" }, { "q": "What is prob of picking 3 q and 2 m when five letters picked without replacement from qmmmmmqqqmqmq?", "a": "140/429" }, { "q": "Five letters picked without replacement from nllelvglllccnvgencg. Give prob of picking 1 v, 1 n, and 3 c.", "a": "1/1938" }, { "q": "What is prob of picking 3 w, 1 i, and 1 z when five letters picked without replacement from nziwwwzwzwwziiin?", "a": "20/273" }, { "q": "Five letters picked without replacement from qaqaaqaq. What is prob of picking 2 a and 3 q?", "a": "3/7" }, { "q": "Five letters picked without replacement from iiiiiiiiii. Give prob of picking 5 i.", "a": "1" }, { "q": "Five letters picked without replacement from {u: 9, r: 3}. What is prob of picking 2 u and 3 r?", "a": "1/22" }, { "q": "Five letters picked without replacement from {k: 3, r: 2, z: 4, i: 3}. What is prob of picking 1 z, 1 i, 2 k, and 1 r?", "a": "1/11" }, { "q": "Five letters picked without replacement from {e: 1, l: 4, a: 5, t: 2}. What is prob of picking 1 a, 1 e, 1 l, and 2 t?", "a": "5/198" }, { "q": "Five letters picked without replacement from {i: 1, a: 5, q: 1}. Give prob of picking 1 i and 4 a.", "a": "5/21" }, { "q": "Five letters picked without replacement from {w: 1, n: 1, v: 4, a: 1, t: 8}. Give prob of picking 2 t and 3 v.", "a": "16/429" }, { "q": "Calculate prob of picking 2 w, 1 p, and 2 a when five letters picked without replacement from uaawawupauauuapaupu.", "a": "7/1292" }, { "q": "What is prob of picking 4 j and 1 h when five letters picked without replacement from jhjjjjjg?", "a": "15/56" }, { "q": "What is prob of picking 2 c, 2 g, and 1 p when five letters picked without replacement from kkggcgkcgkkkkkpgkgkg?", "a": "7/5168" }, { "q": "Five letters picked without replacement from {s: 1, d: 3, i: 3, x: 3, g: 7}. What is prob of picking 1 g, 1 d, 1 x, and 2 i?", "a": "27/884" }, { "q": "What is prob of picking 1 g and 4 x when five letters picked without replacement from {z: 2, x: 13, y: 1, g: 2}?", "a": "715/4284" }, { "q": "What is prob of picking 1 l, 2 n, and 2 m when five letters picked without replacement from xlxnxxxxmnnmxxnfxnxn?", "a": "5/5168" }, { "q": "What is prob of picking 1 p, 3 q, and 1 l when five letters picked without replacement from kpqlkqq?", "a": "1/21" }, { "q": "Five letters picked without replacement from {j: 4, k: 12, a: 2}. Give prob of picking 1 a and 4 j.", "a": "1/4284" }, { "q": "Five letters picked without replacement from {n: 6, e: 2, y: 1, d: 2}. Give prob of picking 2 n, 2 e, and 1 y.", "a": "5/154" }, { "q": "Five letters picked without replacement from fffffvvffv. What is prob of picking 2 v and 3 f?", "a": "5/12" }, { "q": "Five letters picked without replacement from vbvvbbbbbqvbvvb. Give prob of picking 1 q, 3 b, and 1 v.", "a": "16/143" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from {s: 5, x: 7}?", "a": "7/264" }, { "q": "Five letters picked without replacement from vwvwhhhhvvvhhwwwhww. Give prob of picking 1 h, 1 w, and 3 v.", "a": "245/5814" }, { "q": "What is prob of picking 4 m and 1 f when five letters picked without replacement from {m: 4, f: 12, w: 2}?", "a": "1/714" }, { "q": "What is prob of picking 1 w, 1 d, 1 q, 1 l, and 1 r when five letters picked without replacement from {w: 1, l: 1, r: 1, d: 1, q: 2}?", "a": "1/3" }, { "q": "Five letters picked without replacement from {u: 1, s: 4, m: 4, a: 1, t: 3}. What is prob of picking 2 m, 2 s, and 1 u?", "a": "4/143" }, { "q": "Five letters picked without replacement from eeuuueuuee. Give prob of picking 5 u.", "a": "1/252" }, { "q": "What is prob of picking 3 e, 1 i, and 1 m when five letters picked without replacement from {d: 6, m: 1, i: 4, l: 2, e: 3}?", "a": "1/1092" }, { "q": "Five letters picked without replacement from sssdsfsddss. Give prob of picking 1 d, 3 s, and 1 f.", "a": "5/22" }, { "q": "Five letters picked without replacement from {t: 2, s: 2, e: 3}. Give prob of picking 2 t, 1 e, and 2 s.", "a": "1/7" }, { "q": "Calculate prob of picking 3 f, 1 o, and 1 g when five letters picked without replacement from xixixofifoinig.", "a": "0" }, { "q": "What is prob of picking 3 p and 2 n when five letters picked without replacement from ppppppppnpnpppppp?", "a": "5/68" }, { "q": "Five letters picked without replacement from {q: 1, j: 6, c: 9}. What is prob of picking 4 c and 1 q?", "a": "3/104" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from kymip?", "a": "0" }, { "q": "Calculate prob of picking 4 f and 1 y when five letters picked without replacement from {m: 3, h: 1, y: 1, f: 9, d: 5}.", "a": "7/646" }, { "q": "Five letters picked without replacement from ttqttqtt. What is prob of picking 2 q and 3 t?", "a": "5/14" }, { "q": "What is prob of picking 2 k and 3 n when five letters picked without replacement from {n: 9, k: 2}?", "a": "2/11" }, { "q": "Calculate prob of picking 3 h and 2 s when five letters picked without replacement from {h: 3, s: 11, w: 3}.", "a": "55/6188" }, { "q": "Five letters picked without replacement from {p: 4, r: 2, n: 4, e: 2}. What is prob of picking 1 p, 1 e, 2 n, and 1 r?", "a": "4/33" }, { "q": "Five letters picked without replacement from caucpxipucpxc. What is prob of picking 1 i, 1 p, 2 c, and 1 u?", "a": "4/143" }, { "q": "Five letters picked without replacement from vvkllssksnsssskslsss. Give prob of picking 2 l, 2 v, and 1 n.", "a": "1/5168" }, { "q": "What is prob of picking 2 n and 3 b when five letters picked without replacement from bbbbnbbbbbbbbn?", "a": "10/91" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {a: 2, y: 5, l: 13}.", "a": "429/5168" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {d: 1, y: 1, j: 12}.", "a": "36/91" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from hnhuhhuhhhunnnunnhuh?", "a": "1/15504" }, { "q": "Five letters picked without replacement from grixkmimig. Give prob of picking 1 g, 1 i, 2 m, and 1 x.", "a": "1/42" }, { "q": "What is prob of picking 3 u and 2 y when five letters picked without replacement from uuuuyuuuuyuyuy?", "a": "360/1001" }, { "q": "Five letters picked without replacement from kqqaaakkaaakmakaka. Give prob of picking 4 k and 1 m.", "a": "5/2856" }, { "q": "Calculate prob of picking 1 c, 2 b, 1 i, and 1 n when five letters picked without replacement from {n: 3, c: 1, i: 3, b: 10}.", "a": "405/6188" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {j: 5, b: 9}.", "a": "1/2002" }, { "q": "Calculate prob of picking 1 e and 4 c when five letters picked without replacement from {e: 3, c: 4}.", "a": "1/7" }, { "q": "Five letters picked without replacement from {q: 6, g: 7, a: 5, t: 1}. What is prob of picking 1 g and 4 a?", "a": "35/11628" }, { "q": "Calculate prob of picking 4 v and 1 j when five letters picked without replacement from vjjvjjvjjvjv.", "a": "35/792" }, { "q": "Five letters picked without replacement from xrrrxurzxzrrxuxr. What is prob of picking 1 u, 1 x, and 3 r?", "a": "25/312" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from {u: 11, h: 6}.", "a": "3/3094" }, { "q": "Five letters picked without replacement from {t: 1, u: 2, z: 2, r: 2}. What is prob of picking 2 u, 1 r, 1 z, and 1 t?", "a": "4/21" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from {g: 6}.", "a": "1" }, { "q": "What is prob of picking 2 m, 1 h, 1 a, and 1 d when five letters picked without replacement from {m: 3, o: 1, a: 8, d: 1, h: 4}?", "a": "24/1547" }, { "q": "What is prob of picking 1 n, 1 j, 1 i, and 2 w when five letters picked without replacement from {n: 1, j: 4, i: 3, q: 1, w: 3, r: 2}?", "a": "18/1001" }, { "q": "Calculate prob of picking 4 a and 1 d when five letters picked without replacement from ppapdpbppapppaappppp.", "a": "1/15504" }, { "q": "Five letters picked without replacement from {z: 3, w: 1, h: 3, s: 1}. Give prob of picking 1 s, 3 h, and 1 z.", "a": "3/56" }, { "q": "Five letters picked without replacement from aaaaaiaaiiiaaaa. What is prob of picking 3 a and 2 i?", "a": "30/91" }, { "q": "Five letters picked without replacement from vsssvsvvvvv. What is prob of picking 4 s and 1 v?", "a": "1/66" }, { "q": "Five letters picked without replacement from vkkeekvgttgeegvtm. Give prob of picking 3 g, 1 t, and 1 k.", "a": "9/6188" }, { "q": "Calculate prob of picking 2 h, 2 e, and 1 m when five letters picked without replacement from {e: 3, x: 4, i: 3, h: 2, m: 4, j: 4}.", "a": "1/1292" }, { "q": "Five letters picked without replacement from fftftfffftfffttf. Give prob of picking 5 t.", "a": "1/4368" }, { "q": "Five letters picked without replacement from jjjjkjjkjjjkjjjj. Give prob of picking 4 j and 1 k.", "a": "55/112" }, { "q": "Calculate prob of picking 2 a and 3 b when five letters picked without replacement from aabbbaj.", "a": "1/7" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {s: 7, h: 12}?", "a": "7/3876" }, { "q": "Five letters picked without replacement from {n: 7, l: 4, p: 9}. What is prob of picking 2 l and 3 n?", "a": "35/2584" }, { "q": "Calculate prob of picking 4 p and 1 w when five letters picked without replacement from {g: 1, p: 10, w: 1, r: 8}.", "a": "35/2584" }, { "q": "What is prob of picking 2 a and 3 g when five letters picked without replacement from aggaggagggggaaggaga?", "a": "385/969" }, { "q": "Five letters picked without replacement from {w: 6, l: 4, m: 1}. What is prob of picking 2 w and 3 l?", "a": "10/77" }, { "q": "Five letters picked without replacement from nrnxrrxrnxxxrnrrr. What is prob of picking 2 n, 1 x, and 2 r?", "a": "30/221" }, { "q": "Calculate prob of picking 3 y, 1 m, and 1 f when five letters picked without replacement from {i: 2, h: 1, m: 3, f: 1, y: 4, r: 1}.", "a": "1/66" }, { "q": "Calculate prob of picking 1 q, 2 i, and 2 s when five letters picked without replacement from bssqbsqssiszsqqqisl.", "a": "35/2907" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yyppyypppppyyy.", "a": "3/286" }, { "q": "Five letters picked without replacement from wwwwoooowwwow. Give prob of picking 3 w and 2 o.", "a": "560/1287" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from zzzzzzzz?", "a": "1" }, { "q": "What is prob of picking 1 q, 1 w, 1 z, 1 v, and 1 c when five letters picked without replacement from {z: 5, b: 3, w: 1, v: 2, c: 1, q: 2}?", "a": "10/1001" }, { "q": "Five letters picked without replacement from zjllttlllllwl. Give prob of picking 1 t and 4 l.", "a": "140/1287" }, { "q": "Calculate prob of picking 2 l, 2 q, and 1 b when five letters picked without replacement from lblqqlllqll.", "a": "3/22" }, { "q": "Calculate prob of picking 1 d, 3 y, and 1 p when five letters picked without replacement from {k: 2, d: 1, y: 8, p: 4, j: 4}.", "a": "56/2907" }, { "q": "What is prob of picking 1 d, 2 l, 1 e, and 1 k when five letters picked without replacement from {l: 2, q: 4, k: 2, i: 1, e: 6, d: 1}?", "a": "1/364" }, { "q": "Calculate prob of picking 3 q and 2 z when five letters picked without replacement from wwwqqwzwqqqzwqzqzzz.", "a": "175/3876" }, { "q": "Five letters picked without replacement from {r: 2, w: 5, g: 3, q: 3, d: 6, l: 1}. What is prob of picking 1 w, 1 l, and 3 g?", "a": "5/15504" }, { "q": "Five letters picked without replacement from {h: 1, k: 6, f: 4, g: 8}. Give prob of picking 1 g, 1 f, and 3 k.", "a": "160/2907" }, { "q": "What is prob of picking 3 b and 2 z when five letters picked without replacement from {z: 5, b: 3}?", "a": "5/28" }, { "q": "Calculate prob of picking 2 m, 1 q, and 2 j when five letters picked without replacement from jqqqjmjqjqjbqmqqqjj.", "a": "21/1292" }, { "q": "Five letters picked without replacement from {w: 5}. Give prob of picking 5 w.", "a": "1" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from meheeeehhhheee?", "a": "4/143" }, { "q": "Five letters picked without replacement from {w: 11, t: 2, k: 1}. What is prob of picking 5 w?", "a": "3/13" }, { "q": "What is prob of picking 1 t and 4 l when five letters picked without replacement from {t: 3, l: 11, x: 2}?", "a": "165/728" }, { "q": "What is prob of picking 3 e, 1 r, and 1 m when five letters picked without replacement from emeermemeeemermdred?", "a": "35/323" }, { "q": "Five letters picked without replacement from {d: 12, g: 3}. What is prob of picking 2 d and 3 g?", "a": "2/91" }, { "q": "Calculate prob of picking 1 c, 3 j, and 1 d when five letters picked without replacement from {s: 4, k: 2, d: 1, j: 5, a: 3, c: 1}.", "a": "5/2184" }, { "q": "Five letters picked without replacement from aaadvavavavdv. Give prob of picking 2 d and 3 v.", "a": "10/1287" }, { "q": "Calculate prob of picking 2 c, 1 m, and 2 v when five letters picked without replacement from mfxxdcffv.", "a": "0" }, { "q": "Calculate prob of picking 2 v and 3 p when five letters picked without replacement from {p: 3, v: 14}.", "a": "1/68" }, { "q": "Calculate prob of picking 4 x and 1 e when five letters picked without replacement from {w: 6, x: 4, e: 8}.", "a": "1/1071" }, { "q": "Calculate prob of picking 4 a and 1 o when five letters picked without replacement from aaoaaaaaaaaaaaaa.", "a": "5/16" }, { "q": "Five letters picked without replacement from {v: 8, m: 8}. What is prob of picking 2 v and 3 m?", "a": "14/39" }, { "q": "Calculate prob of picking 4 n and 1 z when five letters picked without replacement from {n: 6, z: 5, i: 6}.", "a": "75/6188" }, { "q": "Five letters picked without replacement from vwvwwpppeww. Give prob of picking 3 w and 2 v.", "a": "5/231" }, { "q": "Five letters picked without replacement from {e: 4, i: 1, o: 1, t: 1, y: 6, r: 1}. Give prob of picking 2 o, 2 y, and 1 r.", "a": "0" }, { "q": "Five letters picked without replacement from vzzwttzrtzztttttwz. Give prob of picking 2 w, 1 v, and 2 t.", "a": "1/306" }, { "q": "Calculate prob of picking 2 y, 1 a, 1 m, and 1 v when five letters picked without replacement from {v: 4, z: 1, a: 1, m: 6, l: 1, y: 1}.", "a": "0" }, { "q": "Calculate prob of picking 3 p and 2 c when five letters picked without replacement from cpcclypclcypl.", "a": "10/1287" }, { "q": "Five letters picked without replacement from {e: 3, q: 4, g: 13}. Give prob of picking 1 e and 4 q.", "a": "1/5168" }, { "q": "Five letters picked without replacement from {x: 2, g: 5, o: 4, e: 3, y: 2, m: 4}. What is prob of picking 1 x, 1 m, and 3 g?", "a": "5/969" }, { "q": "Five letters picked without replacement from {x: 8, k: 2}. Give prob of picking 5 x.", "a": "2/9" }, { "q": "What is prob of picking 3 h and 2 v when five letters picked without replacement from {h: 9, v: 9}?", "a": "6/17" }, { "q": "Five letters picked without replacement from {s: 10, j: 8}. What is prob of picking 3 s and 2 j?", "a": "20/51" }, { "q": "Five letters picked without replacement from ihihihhhhhhhi. Give prob of picking 2 i and 3 h.", "a": "56/143" }, { "q": "Five letters picked without replacement from bbjjjbjjbbbjjjjjb. Give prob of picking 5 b.", "a": "3/884" }, { "q": "Calculate prob of picking 2 n, 1 e, and 2 b when five letters picked without replacement from ebknknekxnkkbknbb.", "a": "18/1547" }, { "q": "Five letters picked without replacement from {t: 11, k: 1, j: 2, b: 4}. Give prob of picking 1 b, 3 t, and 1 k.", "a": "55/714" }, { "q": "Calculate prob of picking 2 g, 2 i, and 1 u when five letters picked without replacement from {i: 7, u: 6, f: 1, g: 4}.", "a": "3/34" }, { "q": "Calculate prob of picking 2 t, 2 z, and 1 c when five letters picked without replacement from {r: 6, z: 2, c: 1, f: 1, t: 2}.", "a": "1/792" }, { "q": "Five letters picked without replacement from cgxqbuqbbxq. Give prob of picking 2 b, 1 u, 1 c, and 1 q.", "a": "3/154" }, { "q": "Five letters picked without replacement from yjybyjabajybj. Give prob of picking 3 b and 2 y.", "a": "2/429" }, { "q": "Calculate prob of picking 1 h and 4 o when five letters picked without replacement from hhhohkkh.", "a": "0" }, { "q": "Five letters picked without replacement from {r: 6, x: 3, s: 9}. What is prob of picking 5 s?", "a": "1/68" }, { "q": "Five letters picked without replacement from {w: 2, i: 3, p: 1, b: 6}. What is prob of picking 1 p, 2 i, and 2 w?", "a": "1/264" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from qpqqppppppppqp.", "a": "18/143" }, { "q": "Five letters picked without replacement from qddkkkkyydkpyhkkkh. Give prob of picking 1 k, 1 q, 1 d, and 2 h.", "a": "1/357" }, { "q": "Five letters picked without replacement from {m: 3, b: 2, j: 4, z: 1, t: 2, a: 4}. Give prob of picking 1 z, 2 t, and 2 a.", "a": "1/728" }, { "q": "What is prob of picking 1 x, 1 y, 1 z, 1 g, and 1 n when five letters picked without replacement from {x: 2, z: 4, g: 1, b: 1, y: 1, n: 1}?", "a": "2/63" }, { "q": "Calculate prob of picking 4 l and 1 v when five letters picked without replacement from {l: 13, i: 1, v: 5}.", "a": "3575/11628" }, { "q": "Calculate prob of picking 4 u and 1 k when five letters picked without replacement from {u: 11, k: 2}.", "a": "20/39" }, { "q": "Five letters picked without replacement from {b: 4, f: 2}. Give prob of picking 3 b and 2 f.", "a": "2/3" }, { "q": "What is prob of picking 1 g, 2 u, 1 x, and 1 i when five letters picked without replacement from gnuxneiuu?", "a": "1/42" }, { "q": "Five letters picked without replacement from dydygyyydzr. What is prob of picking 3 y, 1 z, and 1 d?", "a": "5/77" }, { "q": "Five letters picked without replacement from {l: 3, s: 14, u: 1, t: 1, v: 1}. Give prob of picking 1 s, 2 l, 1 t, and 1 v.", "a": "7/2584" }, { "q": "What is prob of picking 2 u, 1 t, and 2 d when five letters picked without replacement from {t: 1, d: 4, j: 7, u: 2, g: 1}?", "a": "2/1001" }, { "q": "Five letters picked without replacement from emexxeeeeexee. Give prob of picking 4 e and 1 x.", "a": "42/143" }, { "q": "Five letters picked without replacement from vvvvpvvyvvvvywwas. What is prob of picking 1 a, 1 w, 2 y, and 1 s?", "a": "1/3094" }, { "q": "Five letters picked without replacement from usgsksusbubsbg. What is prob of picking 2 k, 2 g, and 1 u?", "a": "0" }, { "q": "Five letters picked without replacement from lllllllll. Give prob of picking 5 l.", "a": "1" }, { "q": "Five letters picked without replacement from hzzzhzzzzzhzzzzh. What is prob of picking 5 z?", "a": "33/182" }, { "q": "Calculate prob of picking 2 w and 3 a when five letters picked without replacement from {a: 4, w: 5}.", "a": "20/63" }, { "q": "Five letters picked without replacement from {s: 5, l: 8}. What is prob of picking 4 s and 1 l?", "a": "40/1287" }, { "q": "Five letters picked without replacement from xkiukcuxxkkkclxkxkil. Give prob of picking 2 c, 1 k, 1 u, and 1 l.", "a": "7/3876" }, { "q": "Calculate prob of picking 2 u and 3 f when five letters picked without replacement from {f: 9, s: 1, u: 2}.", "a": "7/66" }, { "q": "Five letters picked without replacement from {t: 1, s: 7, w: 5, x: 3, g: 4}. Give prob of picking 1 w and 4 s.", "a": "175/15504" }, { "q": "Five letters picked without replacement from {d: 8, b: 6}. What is prob of picking 5 d?", "a": "4/143" }, { "q": "Five letters picked without replacement from {t: 6, s: 1}. What is prob of picking 1 s and 4 t?", "a": "5/7" }, { "q": "What is prob of picking 3 q and 2 x when five letters picked without replacement from sqvqbqxqsxxqqlxqqsx?", "a": "140/2907" }, { "q": "Five letters picked without replacement from ggqmmqmgqqqgqqm. What is prob of picking 2 q and 3 g?", "a": "4/143" }, { "q": "Five letters picked without replacement from juupujjpuupjjuup. What is prob of picking 3 p and 2 j?", "a": "5/546" }, { "q": "What is prob of picking 3 a and 2 m when five letters picked without replacement from {a: 5, m: 13}?", "a": "65/714" }, { "q": "Calculate prob of picking 3 y and 2 r when five letters picked without replacement from {r: 1, a: 1, y: 1, f: 1, z: 1}.", "a": "0" }, { "q": "Calculate prob of picking 1 p, 2 w, 1 l, and 1 n when five letters picked without replacement from lwllenllpeee.", "a": "0" }, { "q": "Five letters picked without replacement from {x: 3, y: 5, a: 2, e: 1, o: 1}. Give prob of picking 3 x, 1 a, and 1 y.", "a": "5/396" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from cdccrrdddcdddrdrrddc.", "a": "1/15504" }, { "q": "Calculate prob of picking 3 q, 1 w, and 1 k when five letters picked without replacement from {k: 4, q: 4, w: 7}.", "a": "16/429" }, { "q": "Five letters picked without replacement from {m: 5, x: 7}. Give prob of picking 1 x and 4 m.", "a": "35/792" }, { "q": "Five letters picked without replacement from beheheeqbh. Give prob of picking 2 e, 1 h, 1 b, and 1 q.", "a": "1/7" }, { "q": "Calculate prob of picking 2 i and 3 h when five letters picked without replacement from {i: 7, h: 5}.", "a": "35/132" }, { "q": "Five letters picked without replacement from qqexxqeeqe. What is prob of picking 2 x, 1 e, and 2 q?", "a": "2/21" }, { "q": "Five letters picked without replacement from boqqoqqq. What is prob of picking 2 o, 1 b, and 2 q?", "a": "5/28" }, { "q": "What is prob of picking 1 z, 1 c, 2 t, and 1 x when five letters picked without replacement from tzzxxztxctxz?", "a": "2/33" }, { "q": "Five letters picked without replacement from rjxpxxpxrxuxxupduxrr. What is prob of picking 1 p, 1 r, 2 x, and 1 j?", "a": "7/323" }, { "q": "What is prob of picking 3 u and 2 q when five letters picked without replacement from {u: 4, q: 10}?", "a": "90/1001" }, { "q": "Five letters picked without replacement from {s: 2, h: 1, x: 3}. Give prob of picking 3 s, 1 x, and 1 h.", "a": "0" }, { "q": "What is prob of picking 1 z, 1 s, and 3 d when five letters picked without replacement from {d: 8, k: 6, o: 1, s: 1, z: 2}?", "a": "2/153" }, { "q": "Calculate prob of picking 2 s, 2 k, and 1 y when five letters picked without replacement from rzssssyszkrzsksprks.", "a": "7/969" }, { "q": "Five letters picked without replacement from aacmammmaaca. Give prob of picking 3 m and 2 a.", "a": "5/66" }, { "q": "Five letters picked without replacement from {g: 2, t: 3, d: 1, w: 2, z: 1, v: 1}. What is prob of picking 1 z, 1 t, 1 d, and 2 g?", "a": "1/84" }, { "q": "Calculate prob of picking 2 p, 2 n, and 1 d when five letters picked without replacement from dnpnqqdpdndzzqddz.", "a": "9/3094" }, { "q": "What is prob of picking 2 b, 1 g, and 2 q when five letters picked without replacement from {y: 3, b: 3, q: 8, g: 1}?", "a": "4/143" }, { "q": "Five letters picked without replacement from eeezzkezkee. What is prob of picking 5 e?", "a": "1/77" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from {c: 5, z: 13}?", "a": "143/952" }, { "q": "What is prob of picking 2 l, 1 v, 1 q, and 1 j when five letters picked without replacement from {v: 2, l: 1, j: 2, r: 1, q: 3, n: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from nennnnnnnnennn. Give prob of picking 1 e and 4 n.", "a": "45/91" }, { "q": "Calculate prob of picking 3 n and 2 h when five letters picked without replacement from {h: 6, v: 6, n: 3, g: 5}.", "a": "5/5168" }, { "q": "Calculate prob of picking 3 c and 2 m when five letters picked without replacement from {c: 8, m: 6}.", "a": "60/143" }, { "q": "Calculate prob of picking 3 e, 1 v, and 1 z when five letters picked without replacement from ffeveeeezffzvee.", "a": "20/429" }, { "q": "Five letters picked without replacement from mmmrrmmrr. Give prob of picking 5 m.", "a": "1/126" }, { "q": "Five letters picked without replacement from {o: 4, n: 6}. Give prob of picking 1 n and 4 o.", "a": "1/42" }, { "q": "Five letters picked without replacement from {t: 1, g: 17, x: 2}. What is prob of picking 2 x, 2 g, and 1 t?", "a": "1/114" }, { "q": "Calculate prob of picking 1 j, 2 y, and 2 h when five letters picked without replacement from {h: 3, j: 5, y: 10, l: 1}.", "a": "75/1292" }, { "q": "Five letters picked without replacement from {e: 2, i: 7}. What is prob of picking 5 i?", "a": "1/6" }, { "q": "Calculate prob of picking 3 y and 2 g when five letters picked without replacement from ygyygyqyyqyqygqyy.", "a": "90/1547" }, { "q": "Five letters picked without replacement from yiayyrrarrrayyryi. Give prob of picking 2 y and 3 a.", "a": "15/6188" }, { "q": "Calculate prob of picking 2 q and 3 n when five letters picked without replacement from {n: 7, q: 6, p: 4}.", "a": "75/884" }, { "q": "Calculate prob of picking 1 v, 3 u, and 1 f when five letters picked without replacement from ufxuuvvfx.", "a": "2/63" }, { "q": "What is prob of picking 1 m, 3 j, and 1 a when five letters picked without replacement from {a: 1, b: 1, m: 1, j: 6, c: 1}?", "a": "5/63" }, { "q": "What is prob of picking 1 b and 4 d when five letters picked without replacement from {d: 5, w: 7, b: 8}?", "a": "5/1938" }, { "q": "Five letters picked without replacement from wbbttwwwrtrttwrrtw. Give prob of picking 1 b, 1 r, and 3 t.", "a": "20/1071" }, { "q": "Five letters picked without replacement from mdmiimimdmddiimimm. Give prob of picking 5 m.", "a": "1/153" }, { "q": "Calculate prob of picking 3 p and 2 c when five letters picked without replacement from {c: 11, p: 7}.", "a": "275/1224" }, { "q": "Calculate prob of picking 2 l and 3 j when five letters picked without replacement from lljjlxjalj.", "a": "2/21" }, { "q": "Five letters picked without replacement from {f: 3, k: 2, j: 1, r: 1}. Give prob of picking 2 k and 3 f.", "a": "1/21" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {f: 9}?", "a": "1" }, { "q": "Calculate prob of picking 2 p, 1 x, and 2 k when five letters picked without replacement from ddxpppkpippkippdp.", "a": "9/1547" }, { "q": "Calculate prob of picking 3 q and 2 x when five letters picked without replacement from xxxxxxqxqxqqx.", "a": "16/143" }, { "q": "Calculate prob of picking 4 q and 1 p when five letters picked without replacement from {p: 5, b: 4, q: 9}.", "a": "5/68" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from qqqqqq.", "a": "1" }, { "q": "Calculate prob of picking 1 y, 3 o, and 1 w when five letters picked without replacement from bgbogobgjyboojyjjyjw.", "a": "1/1292" }, { "q": "Five letters picked without replacement from {c: 1, f: 8, p: 4, s: 1, k: 3}. What is prob of picking 1 f and 4 p?", "a": "2/1547" }, { "q": "Five letters picked without replacement from zonznzozcoocc. What is prob of picking 2 z, 1 o, and 2 c?", "a": "8/143" }, { "q": "Five letters picked without replacement from ttttotttootttttot. Give prob of picking 2 t and 3 o.", "a": "6/119" }, { "q": "Five letters picked without replacement from {x: 10, i: 2}. Give prob of picking 3 x and 2 i.", "a": "5/33" }, { "q": "Five letters picked without replacement from jsllltls. Give prob of picking 3 l, 1 s, and 1 t.", "a": "1/7" }, { "q": "Five letters picked without replacement from {q: 2, n: 2, x: 3, d: 1, e: 3, z: 1}. What is prob of picking 1 q, 1 e, 2 n, and 1 d?", "a": "1/132" }, { "q": "What is prob of picking 1 q, 2 a, and 2 p when five letters picked without replacement from {q: 3, a: 5, p: 9, l: 1}?", "a": "15/119" }, { "q": "Calculate prob of picking 1 t, 2 s, 1 d, and 1 j when five letters picked without replacement from {d: 2, j: 6, s: 2, z: 2, t: 3}.", "a": "12/1001" }, { "q": "Five letters picked without replacement from zpozzopop. What is prob of picking 2 o and 3 z?", "a": "1/42" }, { "q": "What is prob of picking 2 g, 2 z, and 1 p when five letters picked without replacement from {d: 2, z: 3, y: 1, g: 2, h: 2, p: 10}?", "a": "5/2584" }, { "q": "What is prob of picking 3 q and 2 p when five letters picked without replacement from {x: 2, q: 2, l: 5, p: 6}?", "a": "0" }, { "q": "What is prob of picking 2 m and 3 p when five letters picked without replacement from {m: 6, p: 3}?", "a": "5/42" }, { "q": "Calculate prob of picking 1 t, 3 b, and 1 r when five letters picked without replacement from {t: 5, r: 8, b: 6}.", "a": "200/2907" }, { "q": "Calculate prob of picking 1 e, 1 t, 2 l, and 1 r when five letters picked without replacement from trtttettttttllettlet.", "a": "39/5168" }, { "q": "What is prob of picking 3 v, 1 w, and 1 m when five letters picked without replacement from vdddddddwddmddvddv?", "a": "1/8568" }, { "q": "Five letters picked without replacement from {s: 3, p: 9}. Give prob of picking 3 p and 2 s.", "a": "7/22" }, { "q": "Calculate prob of picking 3 p and 2 t when five letters picked without replacement from ptatatpp.", "a": "3/56" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from tztztttzzzz.", "a": "1/77" }, { "q": "Five letters picked without replacement from {m: 2, t: 4, z: 4}. What is prob of picking 1 t and 4 z?", "a": "1/63" }, { "q": "Five letters picked without replacement from {o: 11, b: 2, v: 4}. What is prob of picking 3 v and 2 b?", "a": "1/1547" }, { "q": "Five letters picked without replacement from ogoggoogoogooooo. What is prob of picking 5 o?", "a": "11/104" }, { "q": "What is prob of picking 1 m, 2 g, and 2 y when five letters picked without replacement from mjjgygy?", "a": "1/21" }, { "q": "Five letters picked without replacement from twttletttweetltllee. What is prob of picking 2 l, 2 e, and 1 w?", "a": "10/969" }, { "q": "Five letters picked without replacement from ipipdddppidpdpi. What is prob of picking 5 p?", "a": "2/1001" }, { "q": "Calculate prob of picking 2 a, 1 j, and 2 d when five letters picked without replacement from jddddajdbjjjdjbadjdj.", "a": "14/969" }, { "q": "Calculate prob of picking 1 g, 2 c, 1 p, and 1 o when five letters picked without replacement from {c: 7, u: 3, g: 2, b: 2, p: 1, o: 5}.", "a": "35/2584" }, { "q": "What is prob of picking 2 t, 2 s, and 1 p when five letters picked without replacement from stsctptkttjpsjtctkpt?", "a": "21/1292" }, { "q": "Five letters picked without replacement from {d: 14, j: 2}. Give prob of picking 5 d.", "a": "11/24" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from aaalaaalaallaaaallla?", "a": "7/5168" }, { "q": "Five letters picked without replacement from stlsstttltldssdwl. Give prob of picking 2 t, 1 w, 1 l, and 1 s.", "a": "50/1547" }, { "q": "Five letters picked without replacement from {b: 4, m: 2, i: 3, o: 8, j: 3}. What is prob of picking 2 b, 1 j, 1 i, and 1 m?", "a": "9/1292" }, { "q": "Calculate prob of picking 3 o and 2 t when five letters picked without replacement from ttootoooottootootot.", "a": "385/969" }, { "q": "Five letters picked without replacement from {b: 8, p: 5, m: 2, z: 3}. Give prob of picking 2 b and 3 z.", "a": "1/306" }, { "q": "What is prob of picking 4 z and 1 t when five letters picked without replacement from {z: 1, t: 6, m: 2}?", "a": "0" }, { "q": "Five letters picked without replacement from rrrrrrkr. Give prob of picking 5 r.", "a": "3/8" }, { "q": "Five letters picked without replacement from wwehwohewweewwheaww. What is prob of picking 2 e, 1 o, and 2 h?", "a": "5/1938" }, { "q": "Five letters picked without replacement from {d: 3, y: 6, g: 2, q: 1, f: 3}. What is prob of picking 2 f, 1 q, 1 g, and 1 y?", "a": "12/1001" }, { "q": "What is prob of picking 3 s and 2 t when five letters picked without replacement from ttststtsttttstst?", "a": "275/2184" }, { "q": "Five letters picked without replacement from {t: 2, y: 4, n: 8}. What is prob of picking 3 y and 2 t?", "a": "2/1001" }, { "q": "What is prob of picking 1 v, 2 y, and 2 e when five letters picked without replacement from eeyeeyvyeeyee?", "a": "56/429" }, { "q": "Calculate prob of picking 1 w, 1 s, 1 k, 1 q, and 1 t when five letters picked without replacement from {q: 2, w: 2, k: 7, s: 2, j: 5, t: 2}.", "a": "7/969" }, { "q": "Calculate prob of picking 4 j and 1 d when five letters picked without replacement from {j: 8, d: 6}.", "a": "30/143" }, { "q": "What is prob of picking 1 z and 4 f when five letters picked without replacement from zffzfffzzzzffz?", "a": "35/286" }, { "q": "Calculate prob of picking 2 d, 1 n, and 2 t when five letters picked without replacement from tttntdntntd.", "a": "15/154" }, { "q": "Five letters picked without replacement from {w: 4, p: 9, o: 7}. What is prob of picking 4 p and 1 o?", "a": "147/2584" }, { "q": "Five letters picked without replacement from nnnddnndddddnnnd. What is prob of picking 5 n?", "a": "1/78" }, { "q": "Five letters picked without replacement from {c: 5, h: 5, f: 1}. What is prob of picking 2 c and 3 h?", "a": "50/231" }, { "q": "Calculate prob of picking 3 p and 2 x when five letters picked without replacement from rxpxrxxrpxrrrrrrprrx.", "a": "5/5168" }, { "q": "Calculate prob of picking 1 z and 4 v when five letters picked without replacement from zvvvcvzvv.", "a": "5/21" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from yyyytttttytt?", "a": "1/792" }, { "q": "Calculate prob of picking 1 q, 1 e, 1 p, 1 j, and 1 i when five letters picked without replacement from {e: 3, i: 2, o: 4, q: 4, p: 4, j: 2}.", "a": "16/969" }, { "q": "Five letters picked without replacement from {b: 5, x: 12, w: 1}. Give prob of picking 5 b.", "a": "1/8568" }, { "q": "Five letters picked without replacement from {o: 3, l: 9, z: 3}. What is prob of picking 3 o and 2 z?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {u: 3, v: 3, c: 1, g: 4, l: 1, p: 1}. What is prob of picking 1 v, 2 g, and 2 u?", "a": "6/143" }, { "q": "Five letters picked without replacement from gsjwgjssff. What is prob of picking 2 g, 1 w, and 2 s?", "a": "1/84" }, { "q": "Calculate prob of picking 1 c, 3 y, and 1 z when five letters picked without replacement from roozoyzyzciccy.", "a": "9/2002" }, { "q": "Five letters picked without replacement from {h: 5, j: 6}. What is prob of picking 5 h?", "a": "1/462" }, { "q": "What is prob of picking 1 h, 3 m, and 1 l when five letters picked without replacement from mgmggmhghgmgmmmuhlm?", "a": "14/969" }, { "q": "What is prob of picking 2 i, 1 v, and 2 k when five letters picked without replacement from {i: 7, m: 6, v: 1, k: 2, y: 1}?", "a": "3/884" }, { "q": "Five letters picked without replacement from {t: 13, u: 1}. Give prob of picking 4 t and 1 u.", "a": "5/14" }, { "q": "Five letters picked without replacement from {b: 2, g: 2, v: 4, t: 2}. What is prob of picking 1 v, 2 g, and 2 t?", "a": "1/63" }, { "q": "What is prob of picking 4 v and 1 e when five letters picked without replacement from {e: 3, v: 9}?", "a": "21/44" }, { "q": "What is prob of picking 2 k, 1 z, 1 j, and 1 q when five letters picked without replacement from qkzjqkz?", "a": "4/21" }, { "q": "What is prob of picking 3 x and 2 p when five letters picked without replacement from xplbbpxbx?", "a": "1/126" }, { "q": "Five letters picked without replacement from {z: 4, b: 4, v: 7}. What is prob of picking 3 v and 2 z?", "a": "10/143" }, { "q": "What is prob of picking 2 o, 1 w, and 2 h when five letters picked without replacement from rryowwhorwwryyyryrhy?", "a": "1/3876" }, { "q": "Five letters picked without replacement from vcsssssssscvcvsscs. What is prob of picking 2 c and 3 s?", "a": "55/476" }, { "q": "Five letters picked without replacement from whzwqtwww. What is prob of picking 1 z and 4 w?", "a": "5/126" }, { "q": "Calculate prob of picking 3 m and 2 y when five letters picked without replacement from {h: 1, m: 6, v: 1, y: 4}.", "a": "5/33" }, { "q": "Five letters picked without replacement from eieiieeieieiee. What is prob of picking 1 e and 4 i?", "a": "60/1001" }, { "q": "Five letters picked without replacement from ffjffffjf. Give prob of picking 5 f.", "a": "1/6" }, { "q": "What is prob of picking 2 p and 3 z when five letters picked without replacement from zpppzzpzpz?", "a": "25/63" }, { "q": "Calculate prob of picking 4 o and 1 l when five letters picked without replacement from {i: 3, l: 1, o: 9, u: 1}.", "a": "9/143" }, { "q": "Five letters picked without replacement from {m: 5, d: 2, v: 2, q: 3}. Give prob of picking 2 q, 2 d, and 1 m.", "a": "5/264" }, { "q": "Five letters picked without replacement from mermrenegmngnmgmge. What is prob of picking 3 m, 1 e, and 1 r?", "a": "10/1071" }, { "q": "Five letters picked without replacement from {z: 3, x: 3, w: 1}. What is prob of picking 1 w, 1 z, and 3 x?", "a": "1/7" }, { "q": "Five letters picked without replacement from {u: 4, f: 7, y: 7}. What is prob of picking 1 u, 2 f, and 2 y?", "a": "7/34" }, { "q": "Five letters picked without replacement from arrpaprprrpraprprrra. What is prob of picking 2 a and 3 p?", "a": "5/646" }, { "q": "Five letters picked without replacement from pgypgryrryrpg. What is prob of picking 3 p and 2 y?", "a": "1/429" }, { "q": "Five letters picked without replacement from wwwwwmmwwwww. Give prob of picking 2 m and 3 w.", "a": "5/33" }, { "q": "What is prob of picking 2 t and 3 l when five letters picked without replacement from lltlllgtllgllttg?", "a": "3/26" }, { "q": "Five letters picked without replacement from {h: 4, u: 6}. Give prob of picking 5 u.", "a": "1/42" }, { "q": "Five letters picked without replacement from qbnmnjnsqqsbqsqb. Give prob of picking 1 j, 1 b, 1 n, 1 s, and 1 q.", "a": "45/1456" }, { "q": "What is prob of picking 1 m, 2 w, and 2 o when five letters picked without replacement from ooooywwyooyoommmu?", "a": "3/221" }, { "q": "Five letters picked without replacement from {f: 1, z: 2, v: 3, c: 2, e: 2}. What is prob of picking 2 e, 2 c, and 1 z?", "a": "1/126" }, { "q": "What is prob of picking 2 d, 2 e, and 1 q when five letters picked without replacement from {r: 2, d: 4, e: 5, n: 1, q: 3, b: 4}?", "a": "5/323" }, { "q": "Five letters picked without replacement from ddoddod. What is prob of picking 2 o and 3 d?", "a": "10/21" }, { "q": "Five letters picked without replacement from {q: 5, a: 2}. Give prob of picking 3 q and 2 a.", "a": "10/21" }, { "q": "What is prob of picking 1 z and 4 x when five letters picked without replacement from xxxxxxzx?", "a": "5/8" }, { "q": "What is prob of picking 1 l and 4 r when five letters picked without replacement from jalltrjuajaajjt?", "a": "0" }, { "q": "What is prob of picking 2 z, 2 j, and 1 o when five letters picked without replacement from zofjzfjdfjodpzz?", "a": "12/1001" }, { "q": "What is prob of picking 1 o, 1 c, 1 l, and 2 f when five letters picked without replacement from pflcoo?", "a": "0" }, { "q": "Five letters picked without replacement from {h: 2, r: 3, i: 1, f: 4}. Give prob of picking 1 f, 2 r, and 2 h.", "a": "1/21" }, { "q": "Five letters picked without replacement from {d: 1, q: 13}. What is prob of picking 4 q and 1 d?", "a": "5/14" }, { "q": "Calculate prob of picking 3 h, 1 k, and 1 i when five letters picked without replacement from {i: 2, h: 4, k: 3}.", "a": "4/21" }, { "q": "Calculate prob of picking 1 t, 2 m, and 2 q when five letters picked without replacement from {q: 5, e: 2, t: 3, m: 6}.", "a": "75/728" }, { "q": "Calculate prob of picking 1 i and 4 q when five letters picked without replacement from {i: 1, a: 1, e: 2, q: 1}.", "a": "0" }, { "q": "Calculate prob of picking 1 x, 3 j, and 1 v when five letters picked without replacement from {i: 3, l: 3, x: 1, v: 1, j: 4}.", "a": "1/198" }, { "q": "Calculate prob of picking 3 h and 2 p when five letters picked without replacement from hlhhhhvlvlhvpp.", "a": "10/1001" }, { "q": "What is prob of picking 1 c, 1 h, and 3 x when five letters picked without replacement from xbcbfbbbxhcfbbfcxcxb?", "a": "1/969" }, { "q": "Calculate prob of picking 4 e and 1 y when five letters picked without replacement from {y: 2, e: 11}.", "a": "20/39" }, { "q": "Calculate prob of picking 1 m, 2 g, and 2 w when five letters picked without replacement from mggwwgwwmoowmwg.", "a": "90/1001" }, { "q": "Calculate prob of picking 1 t, 1 p, 2 n, and 1 a when five letters picked without replacement from danpnadtntqq.", "a": "1/66" }, { "q": "What is prob of picking 1 x, 1 f, 1 g, and 2 d when five letters picked without replacement from xbgxdbfdggdg?", "a": "1/33" }, { "q": "What is prob of picking 1 g, 1 o, and 3 k when five letters picked without replacement from obokokoookbjgbo?", "a": "1/429" }, { "q": "What is prob of picking 1 f, 3 d, and 1 y when five letters picked without replacement from {y: 1, d: 3, t: 1, f: 2}?", "a": "2/21" }, { "q": "Five letters picked without replacement from {k: 5, c: 10}. Give prob of picking 3 c and 2 k.", "a": "400/1001" }, { "q": "Five letters picked without replacement from {p: 4, h: 2, w: 3, s: 2, l: 3}. Give prob of picking 3 w, 1 p, and 1 s.", "a": "4/1001" }, { "q": "Five letters picked without replacement from kkqqiqqqkqvvqvxvvqi. Give prob of picking 2 v, 1 i, and 2 q.", "a": "140/2907" }, { "q": "What is prob of picking 1 b, 1 c, and 3 x when five letters picked without replacement from jjbxbccxcffxjjxxfbbc?", "a": "10/969" }, { "q": "What is prob of picking 1 e and 4 o when five letters picked without replacement from {o: 9, e: 3}?", "a": "21/44" }, { "q": "Calculate prob of picking 3 x and 2 r when five letters picked without replacement from {r: 8, x: 8, w: 3}.", "a": "392/2907" }, { "q": "Five letters picked without replacement from {j: 1, v: 6, u: 3, q: 2}. Give prob of picking 3 j, 1 q, and 1 u.", "a": "0" }, { "q": "Five letters picked without replacement from ggggxgg. What is prob of picking 4 g and 1 x?", "a": "5/7" }, { "q": "Five letters picked without replacement from {a: 3, e: 2, r: 4}. What is prob of picking 1 e, 1 a, and 3 r?", "a": "4/21" }, { "q": "Five letters picked without replacement from {d: 8, s: 2, g: 3}. What is prob of picking 2 g and 3 d?", "a": "56/429" }, { "q": "Five letters picked without replacement from {a: 6, q: 2, u: 9}. What is prob of picking 3 u and 2 a?", "a": "45/221" }, { "q": "Five letters picked without replacement from {w: 8, n: 4}. What is prob of picking 3 n and 2 w?", "a": "14/99" }, { "q": "Five letters picked without replacement from vcllcvdllccl. Give prob of picking 1 d, 1 l, 2 v, and 1 c.", "a": "5/198" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from cacaaaa?", "a": "1/21" }, { "q": "What is prob of picking 3 x, 1 l, and 1 z when five letters picked without replacement from axzlxxxjzx?", "a": "5/63" }, { "q": "What is prob of picking 4 h and 1 s when five letters picked without replacement from hshhhhhiihsh?", "a": "35/198" }, { "q": "What is prob of picking 4 t and 1 b when five letters picked without replacement from {t: 5, b: 4}?", "a": "10/63" }, { "q": "Five letters picked without replacement from {l: 4, n: 4, j: 2, c: 4, d: 3}. Give prob of picking 2 j and 3 d.", "a": "1/6188" }, { "q": "Calculate prob of picking 2 u, 1 e, and 2 d when five letters picked without replacement from eouooeoduoedeu.", "a": "6/1001" }, { "q": "What is prob of picking 2 d, 1 j, 1 q, and 1 s when five letters picked without replacement from {d: 7, p: 1, b: 1, q: 1, s: 5, j: 1}?", "a": "5/208" }, { "q": "Five letters picked without replacement from {q: 4, n: 10, y: 2, g: 3}. What is prob of picking 1 q, 1 g, and 3 n?", "a": "40/323" }, { "q": "Five letters picked without replacement from {k: 3, i: 3, j: 5}. Give prob of picking 1 i and 4 j.", "a": "5/154" }, { "q": "Calculate prob of picking 2 w, 1 u, and 2 f when five letters picked without replacement from sbwfsfwuffsuswwfsw.", "a": "25/1071" }, { "q": "Five letters picked without replacement from {e: 14, v: 2}. Give prob of picking 5 e.", "a": "11/24" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tgttgttt.", "a": "3/28" }, { "q": "Five letters picked without replacement from geggeeege. What is prob of picking 3 g and 2 e?", "a": "20/63" }, { "q": "Five letters picked without replacement from {w: 3, j: 2, n: 1, k: 5, v: 1, h: 1}. Give prob of picking 1 w, 1 j, 1 v, 1 k, and 1 h.", "a": "10/429" }, { "q": "What is prob of picking 2 z, 2 y, and 1 u when five letters picked without replacement from {y: 4, v: 2, h: 2, u: 2, z: 2, c: 5}?", "a": "3/1547" }, { "q": "Five letters picked without replacement from muduumd. Give prob of picking 2 u, 2 m, and 1 d.", "a": "2/7" }, { "q": "Calculate prob of picking 1 a, 2 l, and 2 w when five letters picked without replacement from wkkwwgwlwkakwkl.", "a": "5/1001" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from fcffcfcccfcf.", "a": "1/132" }, { "q": "Five letters picked without replacement from zvzvzzzzzzzvzzoziiu. Give prob of picking 1 u, 2 v, and 2 z.", "a": "11/646" }, { "q": "Calculate prob of picking 1 l, 1 d, 1 k, and 2 o when five letters picked without replacement from dohohlxhokokohllhh.", "a": "5/714" }, { "q": "Calculate prob of picking 3 q and 2 y when five letters picked without replacement from yyqyyyqyqyyqyyqyyyy.", "a": "455/5814" }, { "q": "What is prob of picking 1 m, 3 w, and 1 v when five letters picked without replacement from vivvwm?", "a": "0" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from drcdrdrdvrdvrcvv.", "a": "1/4368" }, { "q": "What is prob of picking 1 y, 2 r, and 2 a when five letters picked without replacement from tauyryyyryrayyuy?", "a": "1/182" }, { "q": "Five letters picked without replacement from zzaazzzz. What is prob of picking 3 z and 2 a?", "a": "5/14" }, { "q": "Five letters picked without replacement from aaaaaiaiaaaaiaaiaa. What is prob of picking 2 i and 3 a?", "a": "13/51" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from dddbdddddddbddddddd?", "a": "91/171" }, { "q": "Calculate prob of picking 2 z and 3 b when five letters picked without replacement from {n: 3, z: 11, b: 3}.", "a": "55/6188" }, { "q": "What is prob of picking 3 o, 1 d, and 1 y when five letters picked without replacement from {o: 3, y: 9, d: 6}?", "a": "3/476" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from {r: 3, q: 4}?", "a": "0" }, { "q": "Five letters picked without replacement from uwsgssswrgrrwuur. Give prob of picking 4 s and 1 u.", "a": "1/1456" }, { "q": "What is prob of picking 1 q and 4 l when five letters picked without replacement from qlllqlq?", "a": "1/7" }, { "q": "Five letters picked without replacement from hhhhhhh. Give prob of picking 5 h.", "a": "1" }, { "q": "Calculate prob of picking 1 a, 2 h, 1 q, and 1 u when five letters picked without replacement from {y: 3, h: 8, a: 2, t: 4, u: 1, q: 2}.", "a": "7/969" }, { "q": "Five letters picked without replacement from {f: 1, i: 1, x: 7, a: 2, n: 1, j: 1}. Give prob of picking 1 i, 1 a, and 3 x.", "a": "70/1287" }, { "q": "Five letters picked without replacement from {z: 11, l: 3}. Give prob of picking 3 l and 2 z.", "a": "5/182" }, { "q": "Five letters picked without replacement from spxpxsppspxpwwpp. Give prob of picking 2 x and 3 s.", "a": "1/1456" }, { "q": "Five letters picked without replacement from {h: 3, f: 4, p: 1, k: 9, i: 2}. Give prob of picking 3 h, 1 p, and 1 k.", "a": "1/1292" }, { "q": "What is prob of picking 1 h, 1 x, and 3 n when five letters picked without replacement from nnqnnxmqhmnnn?", "a": "35/1287" }, { "q": "Five letters picked without replacement from zszsszzsz. What is prob of picking 3 z and 2 s?", "a": "10/21" }, { "q": "Calculate prob of picking 4 p and 1 w when five letters picked without replacement from {m: 4, w: 1, i: 4, p: 4, k: 3, a: 4}.", "a": "1/15504" }, { "q": "Five letters picked without replacement from spsssssspssssssssss. Give prob of picking 1 p and 4 s.", "a": "70/171" }, { "q": "Calculate prob of picking 3 k and 2 r when five letters picked without replacement from {k: 4, r: 3, y: 1}.", "a": "3/14" }, { "q": "Calculate prob of picking 1 z, 2 e, 1 k, and 1 l when five letters picked without replacement from qqqllqezlkfezfqfq.", "a": "3/3094" }, { "q": "Five letters picked without replacement from txqnxtnxqqqnttqnntx. Give prob of picking 3 n, 1 q, and 1 x.", "a": "50/2907" }, { "q": "Five letters picked without replacement from umsfucmstfcsmftcstsu. Give prob of picking 1 t, 1 u, 1 c, 1 f, and 1 s.", "a": "135/5168" }, { "q": "Five letters picked without replacement from {y: 11, g: 1}. What is prob of picking 4 y and 1 g?", "a": "5/12" }, { "q": "Five letters picked without replacement from ztzlytvltttlzzz. Give prob of picking 1 y, 3 t, and 1 v.", "a": "10/3003" }, { "q": "Five letters picked without replacement from kllllk. Give prob of picking 3 l and 2 k.", "a": "2/3" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {m: 8, c: 1, w: 5, v: 4}?", "a": "1/153" }, { "q": "Calculate prob of picking 1 u, 3 h, and 1 c when five letters picked without replacement from {c: 3, u: 3, z: 1, f: 2, m: 1, h: 5}.", "a": "30/1001" }, { "q": "Five letters picked without replacement from zzgzbyvugzb. What is prob of picking 1 g, 1 b, 2 y, and 1 v?", "a": "0" }, { "q": "Five letters picked without replacement from {m: 4, z: 3, q: 1, o: 6, x: 1}. Give prob of picking 3 m, 1 x, and 1 z.", "a": "4/1001" }, { "q": "What is prob of picking 1 f and 4 h when five letters picked without replacement from hfoodsodoooddd?", "a": "0" }, { "q": "What is prob of picking 1 u and 4 c when five letters picked without replacement from {u: 8, c: 8}?", "a": "5/39" }, { "q": "What is prob of picking 3 e and 2 o when five letters picked without replacement from zezeozozilei?", "a": "1/792" }, { "q": "Calculate prob of picking 4 w and 1 o when five letters picked without replacement from {w: 14, o: 4}.", "a": "143/306" }, { "q": "Calculate prob of picking 1 x, 1 f, 2 i, and 1 n when five letters picked without replacement from {i: 2, f: 4, x: 2, n: 1}.", "a": "4/63" }, { "q": "Five letters picked without replacement from {l: 4, v: 4, a: 4, b: 1, d: 1, f: 1}. What is prob of picking 1 f and 4 l?", "a": "1/3003" }, { "q": "Five letters picked without replacement from {k: 1, i: 2, d: 2, b: 1, s: 2}. Give prob of picking 1 d, 1 k, 1 b, and 2 i.", "a": "1/28" }, { "q": "Five letters picked without replacement from rxqxerxxqxxerexere. Give prob of picking 5 r.", "a": "0" }, { "q": "Calculate prob of picking 1 w and 4 q when five letters picked without replacement from qwiquqquwuwuqiiuw.", "a": "5/1547" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from yddtvdtdddkd?", "a": "7/264" }, { "q": "Calculate prob of picking 1 e, 2 j, 1 q, and 1 o when five letters picked without replacement from {e: 1, j: 3, q: 3, o: 3, d: 2}.", "a": "3/88" }, { "q": "Calculate prob of picking 2 w, 1 h, and 2 s when five letters picked without replacement from {w: 2, s: 2, h: 9}.", "a": "1/143" }, { "q": "Calculate prob of picking 1 z, 1 g, 1 i, and 2 b when five letters picked without replacement from bgiddibibidgipzibp.", "a": "1/119" }, { "q": "Calculate prob of picking 2 m, 2 j, and 1 q when five letters picked without replacement from {m: 3, c: 8, q: 5, j: 4}.", "a": "15/2584" }, { "q": "Five letters picked without replacement from hhjhqhqhhhhqjqhh. What is prob of picking 3 q and 2 j?", "a": "1/1092" }, { "q": "Five letters picked without replacement from aaadaaadaa. Give prob of picking 1 d and 4 a.", "a": "5/9" }, { "q": "What is prob of picking 1 a, 3 l, and 1 x when five letters picked without replacement from llnlxxnnnnxxalxl?", "a": "25/2184" }, { "q": "Five letters picked without replacement from rrrwnrrnrnnrrrr. What is prob of picking 1 r and 4 n?", "a": "10/3003" }, { "q": "Five letters picked without replacement from {k: 7, a: 3}. Give prob of picking 2 a and 3 k.", "a": "5/12" }, { "q": "Five letters picked without replacement from pipwpkpppwwipw. Give prob of picking 1 k, 2 p, and 2 w.", "a": "9/143" }, { "q": "What is prob of picking 1 b and 4 d when five letters picked without replacement from {b: 1, k: 4, d: 10}?", "a": "10/143" }, { "q": "What is prob of picking 2 h and 3 c when five letters picked without replacement from hchccchchhch?", "a": "25/66" }, { "q": "Five letters picked without replacement from {n: 4, a: 1, e: 4, b: 2, d: 2, v: 3}. What is prob of picking 1 d, 3 v, and 1 e?", "a": "1/546" }, { "q": "Calculate prob of picking 2 f and 3 i when five letters picked without replacement from {f: 2, i: 14}.", "a": "1/12" }, { "q": "Five letters picked without replacement from {m: 3, s: 1, y: 1, c: 4, v: 2, a: 2}. What is prob of picking 3 m, 1 y, and 1 v?", "a": "2/1287" }, { "q": "Calculate prob of picking 1 j, 2 r, 1 t, and 1 y when five letters picked without replacement from {y: 1, r: 1, t: 1, g: 2, w: 2, j: 2}.", "a": "0" }, { "q": "Five letters picked without replacement from leyyllylelelellyee. What is prob of picking 4 l and 1 y?", "a": "5/153" }, { "q": "Five letters picked without replacement from {e: 5, g: 1}. What is prob of picking 5 e?", "a": "1/6" }, { "q": "What is prob of picking 2 y and 3 p when five letters picked without replacement from {y: 3, p: 5}?", "a": "15/28" }, { "q": "Calculate prob of picking 2 k and 3 z when five letters picked without replacement from {y: 2, k: 7, b: 4, g: 2, z: 3, v: 1}.", "a": "7/3876" }, { "q": "Five letters picked without replacement from vtvttttvttttvttttv. Give prob of picking 5 t.", "a": "143/952" }, { "q": "What is prob of picking 1 t and 4 i when five letters picked without replacement from {i: 9, t: 1}?", "a": "1/2" }, { "q": "Five letters picked without replacement from iiibiiiiiibriiizzb. Give prob of picking 1 r and 4 i.", "a": "55/952" }, { "q": "Five letters picked without replacement from lowlwdowlfcf. Give prob of picking 1 c, 1 f, 2 o, and 1 w.", "a": "1/132" }, { "q": "Five letters picked without replacement from lyyylllllylyyyyylyl. What is prob of picking 4 l and 1 y?", "a": "35/323" }, { "q": "Five letters picked without replacement from xxrrxararrrx. Give prob of picking 3 x and 2 r.", "a": "5/66" }, { "q": "Five letters picked without replacement from {b: 2, g: 4, l: 2, e: 1, y: 1, p: 1}. What is prob of picking 1 p, 3 g, and 1 y?", "a": "2/231" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from {q: 1, k: 8, g: 9, b: 1}.", "a": "14/2907" }, { "q": "What is prob of picking 4 g and 1 o when five letters picked without replacement from ogogggooggggoooogo?", "a": "9/68" }, { "q": "Five letters picked without replacement from {g: 4, u: 2, t: 2, q: 5, m: 1}. What is prob of picking 4 g and 1 t?", "a": "1/1001" }, { "q": "Five letters picked without replacement from zfxzfqqxxxdqqxx. Give prob of picking 1 x, 1 d, 1 f, and 2 z.", "a": "4/1001" }, { "q": "Calculate prob of picking 2 j, 1 y, and 2 i when five letters picked without replacement from {j: 3, i: 2, x: 3, e: 2, y: 1, c: 2}.", "a": "1/429" }, { "q": "Calculate prob of picking 2 a and 3 o when five letters picked without replacement from ooooooooooaaoao.", "a": "20/91" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from yreeereeeyyrrerery.", "a": "1/153" }, { "q": "What is prob of picking 2 a, 1 k, and 2 f when five letters picked without replacement from {o: 4, a: 4, f: 9, k: 1, r: 1}?", "a": "6/323" }, { "q": "What is prob of picking 3 c, 1 w, and 1 o when five letters picked without replacement from {a: 9, w: 2, c: 3, o: 2}?", "a": "1/1092" }, { "q": "Calculate prob of picking 1 m, 1 v, and 3 d when five letters picked without replacement from {d: 4, b: 1, j: 2, r: 3, m: 2, v: 1}.", "a": "8/1287" }, { "q": "Five letters picked without replacement from jxjjxjz. What is prob of picking 3 j and 2 x?", "a": "4/21" }, { "q": "Five letters picked without replacement from {w: 12, j: 1, z: 1}. What is prob of picking 1 z and 4 w?", "a": "45/182" }, { "q": "Five letters picked without replacement from iozoooozzooooouuoozu. Give prob of picking 3 z, 1 o, and 1 u.", "a": "3/323" }, { "q": "Calculate prob of picking 2 l and 3 x when five letters picked without replacement from xxxxxxxxxlulxxx.", "a": "20/273" }, { "q": "What is prob of picking 1 a, 3 w, and 1 b when five letters picked without replacement from {w: 4, a: 8, b: 4}?", "a": "8/273" }, { "q": "Five letters picked without replacement from {o: 16, z: 3}. Give prob of picking 1 z and 4 o.", "a": "455/969" }, { "q": "Five letters picked without replacement from ppqppntpppsnstqnqs. Give prob of picking 1 q, 1 n, 2 t, and 1 p.", "a": "1/136" }, { "q": "Five letters picked without replacement from yzytytyyvvzyyqyqyyyy. Give prob of picking 3 y, 1 t, and 1 v.", "a": "55/969" }, { "q": "Five letters picked without replacement from kqqqkqqqmkkqqqkkkqkq. What is prob of picking 3 q, 1 k, and 1 m?", "a": "55/646" }, { "q": "Five letters picked without replacement from {d: 2, c: 2, n: 4, s: 1, r: 4, l: 1}. Give prob of picking 4 r and 1 d.", "a": "1/1001" }, { "q": "What is prob of picking 1 j and 4 u when five letters picked without replacement from uujujjjjjjjjujujj?", "a": "15/1547" }, { "q": "What is prob of picking 1 s, 1 f, 1 l, and 2 m when five letters picked without replacement from zlslmemfs?", "a": "2/63" }, { "q": "Five letters picked without replacement from {o: 8, e: 3, d: 4}. Give prob of picking 3 o and 2 e.", "a": "8/143" }, { "q": "What is prob of picking 4 i and 1 z when five letters picked without replacement from {z: 13, i: 4, m: 1}?", "a": "13/8568" }, { "q": "What is prob of picking 1 h and 4 u when five letters picked without replacement from uuuuuuhuhuhhuhuhh?", "a": "105/442" }, { "q": "Calculate prob of picking 4 l and 1 p when five letters picked without replacement from {t: 1, v: 3, l: 5, p: 1}.", "a": "5/252" }, { "q": "Five letters picked without replacement from {y: 2, r: 2, h: 12, d: 3}. What is prob of picking 1 d and 4 h?", "a": "165/1292" }, { "q": "What is prob of picking 1 k, 2 h, 1 r, and 1 w when five letters picked without replacement from wrwrwkxskxrxhxwwwwkh?", "a": "21/5168" }, { "q": "Five letters picked without replacement from agaaeega. Give prob of picking 1 e, 3 a, and 1 g.", "a": "2/7" }, { "q": "Calculate prob of picking 2 s, 2 p, and 1 q when five letters picked without replacement from {q: 7, p: 11, s: 2}.", "a": "385/15504" }, { "q": "What is prob of picking 3 w, 1 g, and 1 c when five letters picked without replacement from {w: 3, k: 6, c: 3, g: 3, e: 2}?", "a": "9/6188" }, { "q": "Calculate prob of picking 4 h and 1 w when five letters picked without replacement from whhwwhhwwh.", "a": "25/252" }, { "q": "Calculate prob of picking 3 x and 2 g when five letters picked without replacement from xxpxggx.", "a": "4/21" }, { "q": "Five letters picked without replacement from qoyyiaayoy. What is prob of picking 1 a, 2 y, and 2 o?", "a": "1/21" }, { "q": "Five letters picked without replacement from {v: 9, c: 5}. What is prob of picking 5 v?", "a": "9/143" }, { "q": "Five letters picked without replacement from {p: 6, g: 8}. What is prob of picking 5 g?", "a": "4/143" }, { "q": "Five letters picked without replacement from nggnxmnymn. What is prob of picking 4 n and 1 g?", "a": "1/126" }, { "q": "Five letters picked without replacement from yykrkrfkfykyfrpyy. What is prob of picking 1 y, 2 k, and 2 r?", "a": "27/1547" }, { "q": "What is prob of picking 3 v and 2 c when five letters picked without replacement from wtvcttt?", "a": "0" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from {y: 5, e: 12, l: 3}.", "a": "33/646" }, { "q": "What is prob of picking 2 k and 3 b when five letters picked without replacement from {b: 17, k: 2}?", "a": "10/171" }, { "q": "Calculate prob of picking 1 r and 4 v when five letters picked without replacement from vrvvrrvvvvvv.", "a": "21/44" }, { "q": "What is prob of picking 2 r, 2 y, and 1 u when five letters picked without replacement from rruyryrur?", "a": "10/63" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from hpyhhhhhyyhhhyhhhyyp?", "a": "1/2584" }, { "q": "What is prob of picking 3 l and 2 t when five letters picked without replacement from {y: 8, l: 4, t: 6}?", "a": "5/714" }, { "q": "What is prob of picking 1 j, 1 i, and 3 g when five letters picked without replacement from {i: 1, k: 2, s: 2, j: 1, g: 8, w: 2}?", "a": "1/78" }, { "q": "Five letters picked without replacement from {w: 1, r: 10, f: 9}. What is prob of picking 4 f and 1 w?", "a": "21/2584" }, { "q": "What is prob of picking 3 q and 2 p when five letters picked without replacement from {p: 4, q: 3}?", "a": "2/7" }, { "q": "Five letters picked without replacement from {h: 6, x: 4, a: 2, s: 5}. What is prob of picking 2 a, 1 h, 1 x, and 1 s?", "a": "30/1547" }, { "q": "Five letters picked without replacement from {d: 6, k: 1, w: 2, x: 8}. What is prob of picking 3 x, 1 w, and 1 k?", "a": "4/221" }, { "q": "Five letters picked without replacement from uxuxxxuxxuuu. What is prob of picking 5 u?", "a": "1/132" }, { "q": "What is prob of picking 2 v, 2 g, and 1 u when five letters picked without replacement from gvvuuuggugggu?", "a": "25/429" }, { "q": "Five letters picked without replacement from iuiiuu. What is prob of picking 3 i and 2 u?", "a": "1/2" }, { "q": "Five letters picked without replacement from {x: 5, d: 4, s: 8}. Give prob of picking 1 x and 4 s.", "a": "25/442" }, { "q": "What is prob of picking 2 k and 3 r when five letters picked without replacement from {r: 7, k: 4}?", "a": "5/11" }, { "q": "What is prob of picking 2 q and 3 k when five letters picked without replacement from dddddpkdkduqdkqdpd?", "a": "1/8568" }, { "q": "What is prob of picking 1 f, 3 z, and 1 m when five letters picked without replacement from {j: 1, f: 1, t: 6, z: 4, m: 4, y: 1}?", "a": "4/1547" }, { "q": "Five letters picked without replacement from ilitxitxlllxix. Give prob of picking 1 l, 3 x, and 1 t.", "a": "16/1001" }, { "q": "Five letters picked without replacement from {p: 4, o: 3, q: 5}. Give prob of picking 2 q and 3 o.", "a": "5/396" }, { "q": "What is prob of picking 2 l, 1 i, and 2 y when five letters picked without replacement from {i: 1, y: 4, l: 2, g: 1, v: 1, a: 1}?", "a": "1/42" }, { "q": "Five letters picked without replacement from {h: 8, p: 4, r: 3, d: 1}. Give prob of picking 2 r, 2 h, and 1 d.", "a": "1/52" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from {x: 10, d: 5}.", "a": "1/3003" }, { "q": "Five letters picked without replacement from edxxexfexdfxx. What is prob of picking 2 d, 1 e, 1 f, and 1 x?", "a": "4/143" }, { "q": "What is prob of picking 1 h and 4 s when five letters picked without replacement from {a: 3, l: 3, h: 2, s: 5, y: 1}?", "a": "5/1001" }, { "q": "Five letters picked without replacement from njunjunuuuu. Give prob of picking 2 n and 3 j.", "a": "0" }, { "q": "Five letters picked without replacement from xnooogooooxgooxorngs. Give prob of picking 1 n, 1 x, 1 o, 1 s, and 1 g.", "a": "15/1292" }, { "q": "Calculate prob of picking 2 j and 3 z when five letters picked without replacement from jjzdjjjzjdjjzjjjjj.", "a": "13/1428" }, { "q": "Five letters picked without replacement from {e: 6, v: 6}. Give prob of picking 4 e and 1 v.", "a": "5/44" }, { "q": "What is prob of picking 2 g and 3 e when five letters picked without replacement from eegeegeegee?", "a": "4/11" }, { "q": "Calculate prob of picking 1 j, 3 p, and 1 k when five letters picked without replacement from {k: 6, v: 1, j: 4, p: 9}.", "a": "42/323" }, { "q": "Five letters picked without replacement from kkqkpkkprkqkppq. What is prob of picking 3 q and 2 k?", "a": "1/143" }, { "q": "Calculate prob of picking 3 d and 2 f when five letters picked without replacement from {t: 4, d: 5, f: 5}.", "a": "50/1001" }, { "q": "Calculate prob of picking 1 v, 2 q, and 2 g when five letters picked without replacement from {y: 10, g: 4, q: 2, v: 4}.", "a": "1/646" }, { "q": "Five letters picked without replacement from {d: 2, u: 18}. What is prob of picking 3 u and 2 d?", "a": "1/19" }, { "q": "Calculate prob of picking 2 x and 3 i when five letters picked without replacement from {j: 2, x: 3, i: 4}.", "a": "2/21" }, { "q": "What is prob of picking 3 j, 1 v, and 1 g when five letters picked without replacement from {d: 1, v: 2, j: 9, g: 2}?", "a": "24/143" }, { "q": "Calculate prob of picking 3 w, 1 s, and 1 g when five letters picked without replacement from egswwswwsswsewwws.", "a": "12/221" }, { "q": "Calculate prob of picking 4 l and 1 o when five letters picked without replacement from {o: 5, l: 7}.", "a": "175/792" }, { "q": "Calculate prob of picking 1 z, 2 m, 1 r, and 1 f when five letters picked without replacement from {m: 2, z: 2, r: 2, f: 2, o: 1, k: 3}.", "a": "1/99" }, { "q": "Five letters picked without replacement from nnnynynnnnyynn. Give prob of picking 5 n.", "a": "18/143" }, { "q": "Five letters picked without replacement from oouiokkiuddiioopoood. What is prob of picking 3 i, 1 u, and 1 d?", "a": "1/646" }, { "q": "Five letters picked without replacement from uwwwuwwwuwwuuwww. Give prob of picking 5 w.", "a": "11/104" }, { "q": "Five letters picked without replacement from dddddddddzdddddzddz. What is prob of picking 3 d and 2 z?", "a": "140/969" }, { "q": "Five letters picked without replacement from {s: 2, p: 1, a: 2, h: 1, v: 1}. Give prob of picking 5 h.", "a": "0" }, { "q": "What is prob of picking 3 e and 2 s when five letters picked without replacement from {s: 4, e: 5}?", "a": "10/21" }, { "q": "Calculate prob of picking 2 u, 1 c, and 2 k when five letters picked without replacement from kubbuubkkcbbcuqqb.", "a": "9/1547" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from {h: 15, z: 2}.", "a": "33/68" }, { "q": "Calculate prob of picking 1 o, 2 a, 1 w, and 1 r when five letters picked without replacement from {w: 2, r: 10, o: 2, a: 4}.", "a": "10/357" }, { "q": "What is prob of picking 3 o and 2 h when five letters picked without replacement from hohoootooh?", "a": "5/21" }, { "q": "Five letters picked without replacement from {m: 3, e: 1, t: 1, o: 1}. Give prob of picking 1 o, 1 e, and 3 m.", "a": "1/6" }, { "q": "What is prob of picking 2 e, 1 o, 1 a, and 1 y when five letters picked without replacement from {e: 3, y: 1, a: 2, q: 1, o: 1, j: 1}?", "a": "1/21" }, { "q": "Five letters picked without replacement from oododoooo. Give prob of picking 5 o.", "a": "1/6" }, { "q": "Five letters picked without replacement from {l: 4, z: 9}. What is prob of picking 5 z?", "a": "14/143" }, { "q": "Calculate prob of picking 1 e, 2 b, and 2 h when five letters picked without replacement from {b: 3, u: 8, h: 6, e: 1}.", "a": "5/952" }, { "q": "What is prob of picking 3 k and 2 y when five letters picked without replacement from {y: 3, k: 8}?", "a": "4/11" }, { "q": "Five letters picked without replacement from siisfkssfsffffk. What is prob of picking 3 f, 1 i, and 1 k?", "a": "80/3003" }, { "q": "What is prob of picking 1 o, 2 g, and 2 v when five letters picked without replacement from {g: 2, w: 2, o: 3, v: 2}?", "a": "1/42" }, { "q": "Five letters picked without replacement from {x: 2, y: 2, g: 7, m: 4, z: 2, i: 1}. What is prob of picking 3 g, 1 i, and 1 z?", "a": "5/612" }, { "q": "Calculate prob of picking 2 n, 1 i, 1 g, and 1 r when five letters picked without replacement from {i: 3, r: 2, g: 10, n: 5}.", "a": "25/646" }, { "q": "Five letters picked without replacement from kxfklflkxfxflkllmk. Give prob of picking 1 f, 2 x, 1 l, and 1 k.", "a": "25/714" }, { "q": "What is prob of picking 1 q and 4 y when five letters picked without replacement from {q: 8, y: 4, a: 5}?", "a": "2/1547" }, { "q": "What is prob of picking 3 i, 1 k, and 1 a when five letters picked without replacement from {f: 2, a: 4, x: 3, k: 1, i: 5}?", "a": "40/3003" }, { "q": "Five letters picked without replacement from {n: 15, k: 3}. Give prob of picking 3 n and 2 k.", "a": "65/408" }, { "q": "Five letters picked without replacement from nnkkkqgkkknggnkkkk. What is prob of picking 1 n, 3 k, and 1 q?", "a": "20/357" }, { "q": "Calculate prob of picking 2 z and 3 s when five letters picked without replacement from {e: 1, z: 6, a: 2, k: 1, s: 3}.", "a": "5/429" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from sssissisisisss.", "a": "18/143" }, { "q": "Five letters picked without replacement from sdsndjsslldjsdj. What is prob of picking 3 s and 2 l?", "a": "10/3003" }, { "q": "Five letters picked without replacement from {c: 4, s: 8, x: 2, g: 1, p: 1}. Give prob of picking 1 x, 1 s, 2 c, and 1 g.", "a": "2/91" }, { "q": "Calculate prob of picking 1 i and 4 j when five letters picked without replacement from {f: 2, i: 4, j: 9}.", "a": "24/143" }, { "q": "What is prob of picking 2 b, 2 z, and 1 o when five letters picked without replacement from {k: 3, z: 4, b: 3, o: 2, t: 7}?", "a": "1/323" }, { "q": "Five letters picked without replacement from upuqpnpqpnpuuq. What is prob of picking 1 q and 4 u?", "a": "3/2002" }, { "q": "Five letters picked without replacement from ssszzywu. Give prob of picking 1 z, 1 y, and 3 w.", "a": "0" }, { "q": "What is prob of picking 1 f, 2 c, and 2 s when five letters picked without replacement from {d: 2, r: 1, c: 2, f: 9, s: 6}?", "a": "45/5168" }, { "q": "Five letters picked without replacement from aaarraraaraarsarrrrr. Give prob of picking 1 a and 4 r.", "a": "315/2584" }, { "q": "Five letters picked without replacement from yjyyyfyyfyjyf. Give prob of picking 2 f, 2 y, and 1 j.", "a": "56/429" }, { "q": "Five letters picked without replacement from doddoodddaaooddaaa. Give prob of picking 1 a and 4 o.", "a": "25/8568" }, { "q": "What is prob of picking 4 v and 1 g when five letters picked without replacement from vvvvivg?", "a": "5/21" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from utttuutuuuttuuttt.", "a": "2/221" }, { "q": "Five letters picked without replacement from {x: 11, z: 1, h: 5, b: 2}. What is prob of picking 3 x and 2 h?", "a": "275/1938" }, { "q": "Five letters picked without replacement from {j: 4, e: 2, a: 8, z: 6}. What is prob of picking 2 j and 3 z?", "a": "5/646" }, { "q": "Five letters picked without replacement from {c: 2, y: 5, q: 2}. What is prob of picking 3 y and 2 q?", "a": "5/63" }, { "q": "Five letters picked without replacement from {w: 13, n: 7}. What is prob of picking 2 w and 3 n?", "a": "455/2584" }, { "q": "What is prob of picking 1 q and 4 n when five letters picked without replacement from {n: 8, q: 7}?", "a": "70/429" }, { "q": "Five letters picked without replacement from bxbbbbbb. Give prob of picking 5 b.", "a": "3/8" }, { "q": "Calculate prob of picking 2 f and 3 h when five letters picked without replacement from hhhqhhhhhfuuhuf.", "a": "4/143" }, { "q": "Calculate prob of picking 1 q, 1 s, 1 t, and 2 h when five letters picked without replacement from {v: 3, t: 1, h: 3, n: 1, s: 2, q: 1}.", "a": "1/77" }, { "q": "Five letters picked without replacement from {s: 4, q: 8}. What is prob of picking 2 s and 3 q?", "a": "14/33" }, { "q": "Five letters picked without replacement from {w: 1, y: 2, k: 5, e: 2, r: 2, a: 1}. What is prob of picking 1 w, 2 y, 1 a, and 1 r?", "a": "2/1287" }, { "q": "Five letters picked without replacement from aossshohhhsh. What is prob of picking 4 s and 1 a?", "a": "1/792" }, { "q": "Five letters picked without replacement from xxccccccccxccxc. Give prob of picking 5 c.", "a": "2/13" }, { "q": "Five letters picked without replacement from {e: 2, x: 3, v: 3, u: 6, f: 1, a: 4}. What is prob of picking 2 a and 3 v?", "a": "1/1938" }, { "q": "Calculate prob of picking 4 v and 1 d when five letters picked without replacement from {v: 5, h: 2, d: 2}.", "a": "5/63" }, { "q": "Calculate prob of picking 2 d and 3 w when five letters picked without replacement from wdddwdwww.", "a": "10/21" }, { "q": "Calculate prob of picking 2 t, 2 m, and 1 d when five letters picked without replacement from tdttdtttttmttdddmttt.", "a": "65/2584" }, { "q": "Five letters picked without replacement from lbbwnwwbnwbl. Give prob of picking 1 n, 1 l, and 3 b.", "a": "2/99" }, { "q": "Five letters picked without replacement from {r: 1, x: 2, m: 1, h: 3, u: 1}. What is prob of picking 2 h, 1 r, and 2 x?", "a": "3/56" }, { "q": "What is prob of picking 1 j and 4 c when five letters picked without replacement from {j: 2, c: 7}?", "a": "5/9" }, { "q": "What is prob of picking 3 c and 2 r when five letters picked without replacement from crvccrc?", "a": "4/21" }, { "q": "Five letters picked without replacement from yqycohoyhygc. What is prob of picking 1 c, 1 g, and 3 y?", "a": "1/99" }, { "q": "Calculate prob of picking 1 o, 3 j, and 1 s when five letters picked without replacement from jostsjjjtjsjojtj.", "a": "1/13" }, { "q": "Five letters picked without replacement from ivvoowcccwocwofwc. What is prob of picking 1 v, 2 w, and 2 o?", "a": "18/1547" }, { "q": "Five letters picked without replacement from {n: 4, c: 7, k: 2, b: 1, r: 2, h: 2}. What is prob of picking 1 b, 1 h, 2 n, and 1 k?", "a": "1/357" }, { "q": "Calculate prob of picking 1 k, 1 b, 1 j, and 2 e when five letters picked without replacement from {r: 1, b: 1, k: 1, j: 4, e: 6, w: 1}.", "a": "30/1001" }, { "q": "Calculate prob of picking 2 g and 3 i when five letters picked without replacement from {f: 6, g: 2, i: 6}.", "a": "10/1001" }, { "q": "Calculate prob of picking 1 b and 4 f when five letters picked without replacement from abafafaaffaffaaa.", "a": "5/1456" }, { "q": "Five letters picked without replacement from {x: 10, s: 7}. What is prob of picking 5 x?", "a": "9/221" }, { "q": "Five letters picked without replacement from {n: 4, i: 5, y: 4, v: 5}. Give prob of picking 1 v, 3 y, and 1 i.", "a": "25/2142" }, { "q": "What is prob of picking 3 y and 2 h when five letters picked without replacement from pyyhphpyypyh?", "a": "5/132" }, { "q": "Five letters picked without replacement from lddlmllddmmllldmd. Give prob of picking 2 d and 3 l.", "a": "75/884" }, { "q": "Calculate prob of picking 4 r and 1 y when five letters picked without replacement from rmyryyryyyryryy.", "a": "15/1001" }, { "q": "Five letters picked without replacement from hvlhvvhlvvl. Give prob of picking 2 h, 2 l, and 1 v.", "a": "15/154" }, { "q": "Five letters picked without replacement from tltxlytxwyllw. What is prob of picking 2 l, 1 w, and 2 x?", "a": "4/429" }, { "q": "Five letters picked without replacement from yyyllyyy. Give prob of picking 5 y.", "a": "3/28" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from aaaalaaalaalaala?", "a": "33/182" }, { "q": "Calculate prob of picking 2 m and 3 p when five letters picked without replacement from {m: 3, x: 2, r: 1, a: 3, p: 7}.", "a": "5/208" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from uuuuuu?", "a": "1" }, { "q": "Five letters picked without replacement from qcckckkqckqkcck. What is prob of picking 2 c and 3 k?", "a": "100/1001" }, { "q": "Five letters picked without replacement from xaxxxaccxxcaxa. Give prob of picking 3 c, 1 x, and 1 a.", "a": "2/143" }, { "q": "Five letters picked without replacement from awazwqwaqaawaqqwzw. Give prob of picking 2 w, 1 a, and 2 z.", "a": "5/476" }, { "q": "Calculate prob of picking 2 k, 1 o, 1 x, and 1 q when five letters picked without replacement from {o: 3, u: 7, x: 2, w: 1, q: 1, k: 2}.", "a": "1/728" }, { "q": "What is prob of picking 3 c and 2 j when five letters picked without replacement from {c: 3, j: 3}?", "a": "1/2" }, { "q": "Five letters picked without replacement from oooowosumsov. What is prob of picking 1 s, 3 o, and 1 m?", "a": "5/99" }, { "q": "Five letters picked without replacement from {h: 7, a: 9, z: 2}. Give prob of picking 5 h.", "a": "1/408" }, { "q": "Five letters picked without replacement from ujjfujfjfjjjjffjjjfu. What is prob of picking 3 f and 2 j?", "a": "275/3876" }, { "q": "Five letters picked without replacement from mgmqjjjimjmgjj. Give prob of picking 1 i, 2 j, 1 m, and 1 q.", "a": "30/1001" }, { "q": "Five letters picked without replacement from jjjijauaxujji. Give prob of picking 1 u, 1 x, 1 i, and 2 a.", "a": "4/1287" }, { "q": "Five letters picked without replacement from {e: 6, v: 1, s: 4, d: 1, q: 3}. What is prob of picking 1 s, 2 e, 1 v, and 1 d?", "a": "20/1001" }, { "q": "Calculate prob of picking 4 s and 1 t when five letters picked without replacement from tstssssssssttsssssts.", "a": "2275/5168" }, { "q": "Five letters picked without replacement from hthgthgtthggtgthg. Give prob of picking 1 h, 1 g, and 3 t.", "a": "150/1547" }, { "q": "What is prob of picking 1 i, 3 w, and 1 p when five letters picked without replacement from awiwawnnapimiaiww?", "a": "10/1547" }, { "q": "What is prob of picking 2 w and 3 i when five letters picked without replacement from wiiiwi?", "a": "2/3" }, { "q": "Five letters picked without replacement from qpppqqqppqqppqp. What is prob of picking 2 p and 3 q?", "a": "140/429" }, { "q": "Five letters picked without replacement from dtntxtqndqd. What is prob of picking 2 t, 2 q, and 1 x?", "a": "1/154" }, { "q": "What is prob of picking 2 w, 1 o, and 2 c when five letters picked without replacement from iiwcioocccioiccwcow?", "a": "7/323" }, { "q": "What is prob of picking 4 s and 1 n when five letters picked without replacement from ssnssn?", "a": "1/3" }, { "q": "Five letters picked without replacement from jjjjjjjjhjj. What is prob of picking 1 h and 4 j?", "a": "5/11" }, { "q": "Five letters picked without replacement from {a: 3, i: 2, h: 3, q: 4, d: 2, r: 2}. What is prob of picking 2 i and 3 a?", "a": "1/4368" }, { "q": "What is prob of picking 3 v and 2 c when five letters picked without replacement from vcvcvvcccvvvvvc?", "a": "60/143" }, { "q": "Calculate prob of picking 2 h, 1 y, and 2 b when five letters picked without replacement from {y: 1, h: 2, b: 2, x: 4, v: 3, w: 3}.", "a": "1/3003" }, { "q": "What is prob of picking 1 t and 4 w when five letters picked without replacement from {w: 7, t: 2}?", "a": "5/9" }, { "q": "Five letters picked without replacement from {w: 3, p: 9}. Give prob of picking 2 w and 3 p.", "a": "7/22" }, { "q": "Calculate prob of picking 1 l, 2 u, 1 d, and 1 z when five letters picked without replacement from uzvzkdukklz.", "a": "1/154" }, { "q": "Five letters picked without replacement from iaaiiaai. Give prob of picking 3 a and 2 i.", "a": "3/7" }, { "q": "Calculate prob of picking 3 u, 1 e, and 1 x when five letters picked without replacement from {x: 4, u: 5, e: 3}.", "a": "5/33" }, { "q": "Five letters picked without replacement from {q: 5, i: 3, e: 5, p: 2, u: 2}. Give prob of picking 1 p, 2 u, and 2 i.", "a": "3/3094" }, { "q": "Calculate prob of picking 3 o, 1 t, and 1 u when five letters picked without replacement from uootoooot.", "a": "20/63" }, { "q": "Five letters picked without replacement from {l: 3, w: 2, x: 1}. Give prob of picking 1 w, 1 x, and 3 l.", "a": "1/3" }, { "q": "What is prob of picking 1 h, 1 x, 2 i, and 1 z when five letters picked without replacement from {x: 3, f: 2, z: 5, i: 4, h: 2}?", "a": "15/364" }, { "q": "Five letters picked without replacement from {d: 3, x: 2, o: 1, r: 6, k: 3, a: 3}. Give prob of picking 2 a, 1 x, 1 d, and 1 r.", "a": "3/238" }, { "q": "What is prob of picking 2 r and 3 f when five letters picked without replacement from rfffffffrff?", "a": "2/11" }, { "q": "Calculate prob of picking 2 r and 3 i when five letters picked without replacement from rririrrri.", "a": "5/42" }, { "q": "Five letters picked without replacement from dcczndznuduunc. What is prob of picking 1 u, 1 d, and 3 n?", "a": "9/2002" }, { "q": "What is prob of picking 1 x, 2 d, and 2 m when five letters picked without replacement from ddmdmddixdii?", "a": "5/264" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {n: 8, a: 7, x: 1}.", "a": "1/78" }, { "q": "Five letters picked without replacement from {a: 15, k: 4}. Give prob of picking 2 k and 3 a.", "a": "455/1938" }, { "q": "Calculate prob of picking 1 r, 1 i, 2 t, and 1 m when five letters picked without replacement from mtmzrtizrzr.", "a": "1/77" }, { "q": "Five letters picked without replacement from {w: 1, g: 2, d: 6, o: 2, k: 8}. Give prob of picking 4 d and 1 o.", "a": "5/1938" }, { "q": "Five letters picked without replacement from dodddddoodd. What is prob of picking 3 d and 2 o?", "a": "4/11" }, { "q": "Five letters picked without replacement from yykkidyyyykydyiyk. Give prob of picking 3 k, 1 d, and 1 y.", "a": "18/1547" }, { "q": "Five letters picked without replacement from kmymccmymmccmkmmc. Give prob of picking 1 k, 1 m, and 3 c.", "a": "40/1547" }, { "q": "What is prob of picking 3 n, 1 y, and 1 r when five letters picked without replacement from ypnpnrsnyynyrynp?", "a": "25/1092" }, { "q": "Five letters picked without replacement from {t: 1, e: 2, w: 5, p: 1, g: 2}. What is prob of picking 2 g and 3 e?", "a": "0" }, { "q": "Five letters picked without replacement from xxxxx. What is prob of picking 5 x?", "a": "1" }, { "q": "What is prob of picking 4 b and 1 i when five letters picked without replacement from {x: 3, i: 5, l: 1, z: 1, b: 8}?", "a": "25/612" }, { "q": "Calculate prob of picking 1 j, 1 n, 1 d, 1 z, and 1 i when five letters picked without replacement from {j: 2, z: 1, i: 1, n: 3, g: 2, d: 2}.", "a": "2/77" }, { "q": "Five letters picked without replacement from ouguouucctu. What is prob of picking 1 c, 1 g, 2 u, and 1 t?", "a": "10/231" }, { "q": "Five letters picked without replacement from vvxmvqvq. What is prob of picking 2 q, 1 x, and 2 v?", "a": "3/28" }, { "q": "What is prob of picking 1 q, 1 v, 1 b, 1 g, and 1 w when five letters picked without replacement from {w: 3, q: 1, p: 1, b: 1, v: 2, g: 2}?", "a": "1/21" }, { "q": "Five letters picked without replacement from {p: 2, k: 6, o: 1, x: 4, l: 2}. What is prob of picking 2 x, 1 o, and 2 l?", "a": "2/1001" }, { "q": "What is prob of picking 2 z, 2 c, and 1 s when five letters picked without replacement from {z: 3, s: 3, c: 2, p: 6}?", "a": "9/2002" }, { "q": "Five letters picked without replacement from ctddcgtcdcgcgtccddtt. What is prob of picking 1 g, 1 d, 1 t, and 2 c?", "a": "525/5168" }, { "q": "Calculate prob of picking 1 y and 4 c when five letters picked without replacement from {c: 8, y: 2}.", "a": "5/9" }, { "q": "Five letters picked without replacement from ssrsssksssskrrk. What is prob of picking 4 s and 1 k?", "a": "18/143" }, { "q": "Five letters picked without replacement from tudmcuumutuumt. Give prob of picking 1 t, 1 u, and 3 m.", "a": "9/1001" }, { "q": "Calculate prob of picking 2 b and 3 s when five letters picked without replacement from suussssubussssbuss.", "a": "55/2856" }, { "q": "What is prob of picking 1 c and 4 n when five letters picked without replacement from {c: 4, n: 2, x: 10, h: 4}?", "a": "0" }, { "q": "Calculate prob of picking 2 i and 3 s when five letters picked without replacement from sssssssisssssiss.", "a": "1/12" }, { "q": "Five letters picked without replacement from rryryykerrrkyeceec. Give prob of picking 3 r, 1 y, and 1 c.", "a": "20/1071" }, { "q": "What is prob of picking 2 k, 2 x, and 1 y when five letters picked without replacement from {k: 2, r: 1, x: 3, y: 1}?", "a": "1/7" }, { "q": "Five letters picked without replacement from ooioiifiiiiiiiio. What is prob of picking 3 i and 2 o?", "a": "165/728" }, { "q": "Five letters picked without replacement from {b: 4, d: 12}. Give prob of picking 3 d and 2 b.", "a": "55/182" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hhhhhhh.", "a": "1" }, { "q": "Five letters picked without replacement from {m: 3, l: 16, h: 1}. Give prob of picking 2 l and 3 m.", "a": "5/646" }, { "q": "Five letters picked without replacement from {v: 15, x: 1, n: 2}. Give prob of picking 1 x and 4 v.", "a": "65/408" }, { "q": "Five letters picked without replacement from {j: 4, k: 4, h: 2, x: 1, g: 1, i: 3}. Give prob of picking 1 k, 1 h, and 3 j.", "a": "32/3003" }, { "q": "Five letters picked without replacement from {o: 1, h: 2, n: 3, k: 5, g: 3, t: 4}. Give prob of picking 2 h and 3 g.", "a": "1/8568" }, { "q": "Five letters picked without replacement from vvevvevbbvbee. Give prob of picking 2 e, 1 b, and 2 v.", "a": "30/143" }, { "q": "Calculate prob of picking 3 t and 2 f when five letters picked without replacement from ffffftfttfiittit.", "a": "5/52" }, { "q": "Five letters picked without replacement from {m: 4, c: 5, t: 2, z: 1}. What is prob of picking 1 m, 3 c, and 1 t?", "a": "10/99" }, { "q": "Calculate prob of picking 1 z and 4 h when five letters picked without replacement from hjjpzmphphhpjph.", "a": "5/3003" }, { "q": "Five letters picked without replacement from bbssesssevs. Give prob of picking 5 s.", "a": "1/77" }, { "q": "Calculate prob of picking 2 b, 2 q, and 1 z when five letters picked without replacement from {a: 6, z: 6, b: 3, q: 2}.", "a": "9/3094" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from yyyyyyyy?", "a": "1" }, { "q": "Calculate prob of picking 2 f, 1 z, and 2 t when five letters picked without replacement from {z: 11, t: 5, f: 4}.", "a": "55/1292" }, { "q": "Five letters picked without replacement from {k: 7, d: 9}. What is prob of picking 5 k?", "a": "1/208" }, { "q": "Five letters picked without replacement from {p: 6, w: 9, l: 3, o: 1}. What is prob of picking 1 l and 4 p?", "a": "5/1292" }, { "q": "What is prob of picking 2 t and 3 g when five letters picked without replacement from ggggtggtggggttttgt?", "a": "55/136" }, { "q": "Calculate prob of picking 1 n and 4 f when five letters picked without replacement from {n: 8, f: 6}.", "a": "60/1001" }, { "q": "Five letters picked without replacement from {j: 10, t: 9}. Give prob of picking 4 j and 1 t.", "a": "105/646" }, { "q": "Calculate prob of picking 1 f and 4 p when five letters picked without replacement from {n: 1, p: 5, f: 2}.", "a": "5/28" }, { "q": "Five letters picked without replacement from rrrgbgbgggwgwr. Give prob of picking 1 w, 1 g, and 3 r.", "a": "24/1001" }, { "q": "What is prob of picking 1 s, 1 e, and 3 h when five letters picked without replacement from hezzhvpezsvhehhhzh?", "a": "5/408" }, { "q": "Calculate prob of picking 2 r and 3 e when five letters picked without replacement from {e: 11, r: 2}.", "a": "5/39" }, { "q": "Calculate prob of picking 1 m and 4 h when five letters picked without replacement from hmhhmhm.", "a": "1/7" }, { "q": "Five letters picked without replacement from {f: 6, x: 3, y: 1, p: 8}. What is prob of picking 2 x, 1 f, and 2 p?", "a": "1/17" }, { "q": "Five letters picked without replacement from {o: 10, w: 4, n: 3, f: 1}. Give prob of picking 2 n and 3 o.", "a": "5/119" }, { "q": "Calculate prob of picking 1 l, 2 e, 1 n, and 1 q when five letters picked without replacement from lenlnnneqlqnqlluqql.", "a": "25/1938" }, { "q": "What is prob of picking 1 j, 1 g, 1 s, and 2 f when five letters picked without replacement from xjgssfjjfsf?", "a": "9/154" }, { "q": "Five letters picked without replacement from {s: 6, b: 8, a: 1}. What is prob of picking 3 s and 2 b?", "a": "80/429" }, { "q": "What is prob of picking 1 r and 4 w when five letters picked without replacement from {w: 8, r: 7}?", "a": "70/429" }, { "q": "Five letters picked without replacement from {h: 2, c: 7, k: 2}. What is prob of picking 3 k and 2 c?", "a": "0" }, { "q": "Five letters picked without replacement from pscss. What is prob of picking 1 c and 4 p?", "a": "0" }, { "q": "Five letters picked without replacement from gvgvvvgvggv. What is prob of picking 1 v and 4 g?", "a": "5/77" }, { "q": "Five letters picked without replacement from {m: 5, u: 4, r: 6}. What is prob of picking 4 u and 1 m?", "a": "5/3003" }, { "q": "What is prob of picking 3 z and 2 o when five letters picked without replacement from {x: 1, z: 3, k: 1, j: 6, o: 2}?", "a": "1/1287" }, { "q": "Five letters picked without replacement from neeqnqnpq. What is prob of picking 2 q, 1 p, and 2 n?", "a": "1/14" }, { "q": "What is prob of picking 1 e, 1 t, 1 g, and 2 k when five letters picked without replacement from {g: 1, e: 1, t: 4, k: 4}?", "a": "2/21" }, { "q": "Calculate prob of picking 1 f, 3 w, and 1 y when five letters picked without replacement from waywwbbycafya.", "a": "1/429" }, { "q": "What is prob of picking 3 w and 2 z when five letters picked without replacement from {z: 13, w: 3}?", "a": "1/56" }, { "q": "What is prob of picking 3 b and 2 q when five letters picked without replacement from gbbqbqbgggbbgqbb?", "a": "1/26" }, { "q": "Five letters picked without replacement from {p: 8, r: 2, b: 3, w: 1, l: 2, t: 2}. What is prob of picking 2 r, 1 w, and 2 b?", "a": "1/2856" }, { "q": "Calculate prob of picking 1 g, 2 m, and 2 a when five letters picked without replacement from {w: 2, m: 2, a: 4, g: 1, l: 1}.", "a": "1/42" }, { "q": "Five letters picked without replacement from {h: 10}. Give prob of picking 5 h.", "a": "1" }, { "q": "Five letters picked without replacement from {x: 2, o: 1, s: 3, u: 1, g: 1}. Give prob of picking 2 u, 1 s, and 2 g.", "a": "0" }, { "q": "Five letters picked without replacement from lbbccccllcb. What is prob of picking 1 b, 2 c, and 2 l?", "a": "15/77" }, { "q": "Calculate prob of picking 2 x and 3 o when five letters picked without replacement from {o: 8, m: 2, x: 9}.", "a": "56/323" }, { "q": "What is prob of picking 2 n and 3 r when five letters picked without replacement from noronoroornn?", "a": "1/132" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from ggggwgmmmggmwmggggm?", "a": "1/1938" }, { "q": "Five letters picked without replacement from pwwwppwdwpwwppwp. What is prob of picking 4 w and 1 p?", "a": "35/312" }, { "q": "Five letters picked without replacement from mmsmmmmsmmm. Give prob of picking 1 s and 4 m.", "a": "6/11" }, { "q": "What is prob of picking 3 j and 2 t when five letters picked without replacement from {v: 1, j: 4, t: 5, x: 2}?", "a": "5/99" }, { "q": "Calculate prob of picking 2 h and 3 e when five letters picked without replacement from {e: 6, h: 12}.", "a": "55/357" }, { "q": "What is prob of picking 1 b, 1 r, 1 m, and 2 o when five letters picked without replacement from {c: 2, b: 1, o: 2, k: 1, r: 2, m: 3}?", "a": "1/77" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from {n: 5, g: 14}?", "a": "1/11628" }, { "q": "Five letters picked without replacement from caucuhuauaucaacuuuc. What is prob of picking 1 u and 4 a?", "a": "10/2907" }, { "q": "What is prob of picking 3 t and 2 h when five letters picked without replacement from tttthttht?", "a": "5/18" }, { "q": "Five letters picked without replacement from jlhvhhy. What is prob of picking 1 j, 3 h, and 1 y?", "a": "1/21" }, { "q": "Five letters picked without replacement from {s: 2, c: 1, d: 9, h: 4}. What is prob of picking 1 h, 1 c, and 3 d?", "a": "1/13" }, { "q": "Calculate prob of picking 3 x and 2 g when five letters picked without replacement from {x: 3, c: 2, g: 5}.", "a": "5/126" }, { "q": "Calculate prob of picking 2 w, 1 x, and 2 y when five letters picked without replacement from {y: 4, w: 3, x: 7, r: 4}.", "a": "1/68" }, { "q": "Five letters picked without replacement from {b: 1, i: 3, u: 1, m: 8}. Give prob of picking 1 b and 4 m.", "a": "70/1287" }, { "q": "Calculate prob of picking 1 z, 2 k, and 2 b when five letters picked without replacement from kmbzmkmkkmzmmzbk.", "a": "5/728" }, { "q": "Calculate prob of picking 4 k and 1 l when five letters picked without replacement from lklkkkll.", "a": "1/14" }, { "q": "Five letters picked without replacement from eebemkeecwkbemc. What is prob of picking 1 k, 2 e, 1 b, and 1 m?", "a": "40/1001" }, { "q": "Five letters picked without replacement from {v: 6, h: 2, o: 1}. Give prob of picking 1 h and 4 v.", "a": "5/21" }, { "q": "Five letters picked without replacement from {s: 8, d: 4, b: 2, o: 6}. What is prob of picking 1 b, 2 o, and 2 s?", "a": "35/646" }, { "q": "Five letters picked without replacement from {o: 7, u: 7, p: 2}. What is prob of picking 2 p and 3 o?", "a": "5/624" }, { "q": "Five letters picked without replacement from {g: 4, y: 3}. Give prob of picking 3 g and 2 y.", "a": "4/7" }, { "q": "Five letters picked without replacement from {q: 9, h: 1, x: 1, i: 1, p: 2}. Give prob of picking 1 i, 2 q, and 2 p.", "a": "18/1001" }, { "q": "Five letters picked without replacement from hgvpgpphhg. What is prob of picking 4 g and 1 v?", "a": "0" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {n: 10, s: 10}.", "a": "21/1292" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {s: 3, q: 9, k: 5}?", "a": "0" }, { "q": "Calculate prob of picking 3 v and 2 e when five letters picked without replacement from {v: 4, e: 5}.", "a": "20/63" }, { "q": "What is prob of picking 1 l, 1 n, 1 s, 1 z, and 1 u when five letters picked without replacement from {z: 6, l: 4, s: 1, u: 1, n: 3}?", "a": "24/1001" }, { "q": "Calculate prob of picking 1 e, 1 d, and 3 k when five letters picked without replacement from {j: 3, d: 1, e: 3, c: 9, k: 4}.", "a": "1/1292" }, { "q": "Calculate prob of picking 1 b, 1 s, and 3 y when five letters picked without replacement from cpcssbsqpqscspyss.", "a": "0" }, { "q": "Five letters picked without replacement from {e: 3, c: 3, q: 5, x: 2, o: 3, p: 2}. Give prob of picking 1 e, 1 o, 1 p, and 2 x.", "a": "1/476" }, { "q": "Calculate prob of picking 1 k, 1 c, 1 h, 1 m, and 1 x when five letters picked without replacement from {x: 1, m: 2, h: 1, k: 1, c: 1}.", "a": "1/3" }, { "q": "Calculate prob of picking 3 g and 2 e when five letters picked without replacement from {s: 3, x: 4, e: 3, g: 9}.", "a": "7/323" }, { "q": "Five letters picked without replacement from {n: 4, k: 4, p: 4, e: 2, f: 1}. Give prob of picking 3 k, 1 n, and 1 p.", "a": "64/3003" }, { "q": "What is prob of picking 1 v, 1 h, 1 d, and 2 b when five letters picked without replacement from {v: 1, b: 2, d: 1, g: 2, h: 2, r: 2}?", "a": "1/126" }, { "q": "Calculate prob of picking 3 x, 1 o, and 1 g when five letters picked without replacement from {g: 2, o: 1, x: 16}.", "a": "280/2907" }, { "q": "Five letters picked without replacement from {m: 6, z: 1, p: 6}. What is prob of picking 2 m and 3 p?", "a": "100/429" }, { "q": "Calculate prob of picking 2 y, 1 t, and 2 k when five letters picked without replacement from kyykyykkktyyy.", "a": "70/429" }, { "q": "Calculate prob of picking 4 y and 1 h when five letters picked without replacement from czzzyzyzyuyyzyzzhz.", "a": "5/2856" }, { "q": "Calculate prob of picking 4 h and 1 y when five letters picked without replacement from hhhhhhhhhyhhhhhhhy.", "a": "65/153" }, { "q": "Calculate prob of picking 2 w, 1 y, 1 g, and 1 r when five letters picked without replacement from {y: 2, o: 4, r: 1, f: 5, w: 3, g: 1}.", "a": "1/728" }, { "q": "Five letters picked without replacement from eeeejeeejjejeeyeejje. What is prob of picking 2 e and 3 j?", "a": "65/646" }, { "q": "Calculate prob of picking 2 m, 1 t, and 2 r when five letters picked without replacement from {l: 5, r: 3, m: 3, t: 3}.", "a": "27/2002" }, { "q": "What is prob of picking 2 v, 1 b, and 2 n when five letters picked without replacement from {v: 3, s: 1, n: 8, b: 2}?", "a": "12/143" }, { "q": "Five letters picked without replacement from iiuixxxixuuii. Give prob of picking 1 i and 4 x.", "a": "2/429" }, { "q": "Calculate prob of picking 1 z, 2 d, 1 c, and 1 f when five letters picked without replacement from cdzfzoofzcdozcaoaaoo.", "a": "1/646" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from nnbbnbnbb.", "a": "1/126" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 7}.", "a": "1" }, { "q": "Calculate prob of picking 1 x, 3 k, and 1 i when five letters picked without replacement from ikxkxkixkxkkkxxkkkkk.", "a": "55/323" }, { "q": "Five letters picked without replacement from qqllqlqqqqq. Give prob of picking 2 q and 3 l.", "a": "2/33" }, { "q": "Five letters picked without replacement from flllllllllfllff. What is prob of picking 1 f and 4 l?", "a": "40/91" }, { "q": "Five letters picked without replacement from xgwgwew. What is prob of picking 1 e, 3 w, and 1 x?", "a": "1/21" }, { "q": "Five letters picked without replacement from {u: 2, i: 12, x: 5}. What is prob of picking 2 i and 3 x?", "a": "55/969" }, { "q": "Five letters picked without replacement from ninnnniiiiiiiinntiii. Give prob of picking 2 i, 1 t, and 2 n.", "a": "231/2584" }, { "q": "What is prob of picking 2 o, 1 z, 1 i, and 1 s when five letters picked without replacement from {i: 2, z: 1, t: 1, o: 2, s: 1}?", "a": "2/21" }, { "q": "Five letters picked without replacement from phhphhphhh. What is prob of picking 3 p and 2 h?", "a": "1/12" }, { "q": "Five letters picked without replacement from fwwwfwvfvvwffffw. What is prob of picking 3 f and 2 w?", "a": "25/208" }, { "q": "Five letters picked without replacement from {r: 2, l: 3, n: 3, s: 2, u: 1, j: 3}. Give prob of picking 2 l, 1 n, 1 u, and 1 r.", "a": "9/1001" }, { "q": "What is prob of picking 1 a, 1 o, 1 f, 1 v, and 1 w when five letters picked without replacement from vfvaawaaafoowavaovva?", "a": "10/323" }, { "q": "What is prob of picking 1 x and 4 t when five letters picked without replacement from {t: 6, x: 12}?", "a": "5/238" }, { "q": "Calculate prob of picking 4 e and 1 d when five letters picked without replacement from lffdeefvlefdefeftel.", "a": "5/1938" }, { "q": "Five letters picked without replacement from qbbqiibqbiqbbqybqqrq. Give prob of picking 1 y, 1 b, and 3 q.", "a": "49/1938" }, { "q": "Five letters picked without replacement from fyffyffff. What is prob of picking 1 y and 4 f?", "a": "5/9" }, { "q": "Five letters picked without replacement from fesqffps. Give prob of picking 1 s, 2 f, 1 q, and 1 e.", "a": "3/28" }, { "q": "What is prob of picking 1 k, 2 m, 1 a, and 1 f when five letters picked without replacement from {f: 1, d: 3, r: 4, a: 2, m: 5, k: 2}?", "a": "10/1547" }, { "q": "What is prob of picking 2 j, 1 x, 1 f, and 1 k when five letters picked without replacement from {j: 2, f: 3, x: 10, k: 4}?", "a": "10/969" }, { "q": "Calculate prob of picking 1 u, 2 q, 1 t, and 1 p when five letters picked without replacement from qtptqtu.", "a": "1/7" }, { "q": "Five letters picked without replacement from {j: 6, h: 5, q: 1, x: 2, f: 3}. What is prob of picking 1 j, 2 x, 1 h, and 1 q?", "a": "15/3094" }, { "q": "What is prob of picking 1 a and 4 v when five letters picked without replacement from cvcvvvccvcvacv?", "a": "5/286" }, { "q": "What is prob of picking 2 s, 1 h, 1 i, and 1 b when five letters picked without replacement from esibsseibbiebhssf?", "a": "30/1547" }, { "q": "Calculate prob of picking 2 v and 3 k when five letters picked without replacement from {k: 3, v: 3}.", "a": "1/2" }, { "q": "Five letters picked without replacement from qfomqmfqqqkoffff. What is prob of picking 4 q and 1 m?", "a": "5/2184" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from {i: 10}.", "a": "1" }, { "q": "Five letters picked without replacement from tpppkkpoggaapgppa. What is prob of picking 1 t, 1 a, 2 g, and 1 o?", "a": "9/6188" }, { "q": "Five letters picked without replacement from pwocooopppwocpoocpp. Give prob of picking 3 c and 2 o.", "a": "7/3876" }, { "q": "What is prob of picking 4 r and 1 y when five letters picked without replacement from {y: 1, r: 4, g: 2}?", "a": "1/21" }, { "q": "Five letters picked without replacement from lloeeeeooleeell. Give prob of picking 1 o, 1 l, and 3 e.", "a": "25/143" }, { "q": "Five letters picked without replacement from {y: 12, g: 3}. What is prob of picking 5 y?", "a": "24/91" }, { "q": "Calculate prob of picking 3 l and 2 g when five letters picked without replacement from {l: 5, u: 1, g: 2}.", "a": "5/28" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from {i: 1, t: 6}.", "a": "2/7" }, { "q": "Five letters picked without replacement from {s: 6, k: 7, j: 2, v: 3}. What is prob of picking 3 s and 2 v?", "a": "5/714" }, { "q": "Calculate prob of picking 4 z and 1 i when five letters picked without replacement from zpppfzyppipfznzi.", "a": "1/2184" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 9, y: 8}.", "a": "9/442" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from {f: 2, w: 6}?", "a": "3/28" }, { "q": "Five letters picked without replacement from pbeobpoboeoeogobpboo. What is prob of picking 2 p, 1 o, and 2 b?", "a": "5/323" }, { "q": "Calculate prob of picking 3 d and 2 s when five letters picked without replacement from sddsssssdsssssssssd.", "a": "35/969" }, { "q": "What is prob of picking 1 f and 4 w when five letters picked without replacement from wwwwwfwwfwwfwwwf?", "a": "165/364" }, { "q": "Five letters picked without replacement from {m: 7, j: 6}. What is prob of picking 5 j?", "a": "2/429" }, { "q": "Calculate prob of picking 4 n and 1 r when five letters picked without replacement from nnnnnnnnrn.", "a": "1/2" }, { "q": "Calculate prob of picking 3 a and 2 b when five letters picked without replacement from ababaa.", "a": "2/3" }, { "q": "What is prob of picking 2 h and 3 c when five letters picked without replacement from chccccchcccchhc?", "a": "30/91" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hhhhhzhh.", "a": "3/8" }, { "q": "Five letters picked without replacement from {z: 4, r: 2, j: 1, i: 1, v: 5, l: 1}. What is prob of picking 2 z, 1 v, 1 j, and 1 r?", "a": "30/1001" }, { "q": "What is prob of picking 1 h and 4 z when five letters picked without replacement from {z: 6, h: 7}?", "a": "35/429" }, { "q": "Five letters picked without replacement from {v: 5, j: 1, t: 5}. Give prob of picking 2 t and 3 j.", "a": "0" }, { "q": "Five letters picked without replacement from yjjyycjyjyjycyjjjyjc. What is prob of picking 4 j and 1 y?", "a": "21/323" }, { "q": "Calculate prob of picking 2 l and 3 h when five letters picked without replacement from {j: 1, m: 1, h: 6, l: 2}.", "a": "5/63" }, { "q": "Five letters picked without replacement from ehlgehehhelgehhjele. Give prob of picking 2 e, 1 h, and 2 l.", "a": "21/646" }, { "q": "Five letters picked without replacement from {p: 11, w: 9}. Give prob of picking 4 p and 1 w.", "a": "495/2584" }, { "q": "Five letters picked without replacement from {p: 9, d: 5, m: 1}. What is prob of picking 2 p, 1 m, and 2 d?", "a": "120/1001" }, { "q": "Five letters picked without replacement from flfflfflffll. What is prob of picking 5 f?", "a": "7/264" }, { "q": "Calculate prob of picking 3 d and 2 m when five letters picked without replacement from {w: 4, v: 1, d: 6, m: 2, z: 4, o: 1}.", "a": "5/2142" }, { "q": "Five letters picked without replacement from {i: 1, x: 4, y: 4, q: 6, d: 1, k: 3}. What is prob of picking 2 q and 3 k?", "a": "5/3876" }, { "q": "Calculate prob of picking 2 c, 1 v, and 2 i when five letters picked without replacement from {c: 5, r: 2, i: 8, v: 2}.", "a": "20/221" }, { "q": "Five letters picked without replacement from rrrukkrrukkuulkkrl. What is prob of picking 3 k, 1 r, and 1 l?", "a": "10/357" }, { "q": "Five letters picked without replacement from {w: 10, u: 2}. Give prob of picking 1 u and 4 w.", "a": "35/66" }, { "q": "Five letters picked without replacement from {v: 7, b: 4, x: 2, f: 1, j: 1, w: 4}. What is prob of picking 1 f, 1 b, 1 j, and 2 x?", "a": "1/2907" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from gmmggmmggmmgmm.", "a": "4/143" }, { "q": "Calculate prob of picking 1 v and 4 t when five letters picked without replacement from {t: 5, v: 5}.", "a": "25/252" }, { "q": "Five letters picked without replacement from lxoeolhhxxoxoxxx. What is prob of picking 1 e, 2 x, and 2 h?", "a": "1/208" }, { "q": "Five letters picked without replacement from dnddddvvnddvdddmnvd. Give prob of picking 4 v and 1 m.", "a": "1/11628" }, { "q": "Five letters picked without replacement from {k: 4, z: 1, q: 2, j: 6, g: 4, r: 2}. Give prob of picking 1 q, 1 k, 2 g, and 1 r.", "a": "8/969" }, { "q": "Calculate prob of picking 2 e and 3 c when five letters picked without replacement from {c: 4, e: 16}.", "a": "10/323" }, { "q": "Five letters picked without replacement from qczssbccybccbczcqs. What is prob of picking 1 c, 1 z, and 3 s?", "a": "1/612" }, { "q": "Calculate prob of picking 4 e and 1 m when five letters picked without replacement from {e: 11, m: 6}.", "a": "495/1547" }, { "q": "What is prob of picking 3 v and 2 i when five letters picked without replacement from {i: 3, x: 1, g: 3, v: 8}?", "a": "8/143" }, { "q": "Five letters picked without replacement from {c: 8, s: 8, e: 3}. What is prob of picking 1 c, 3 s, and 1 e?", "a": "112/969" }, { "q": "Calculate prob of picking 1 h and 4 z when five letters picked without replacement from {z: 12, h: 8}.", "a": "165/646" }, { "q": "What is prob of picking 3 f and 2 q when five letters picked without replacement from fllfqllffnqllln?", "a": "4/3003" }, { "q": "Five letters picked without replacement from {k: 4, m: 1, n: 2, a: 4}. What is prob of picking 1 a, 1 m, 2 n, and 1 k?", "a": "8/231" }, { "q": "Calculate prob of picking 2 u, 1 c, and 2 x when five letters picked without replacement from uuxcuccxc.", "a": "2/21" }, { "q": "Five letters picked without replacement from kfkiqkkqifkik. What is prob of picking 2 f and 3 k?", "a": "20/1287" }, { "q": "What is prob of picking 2 g and 3 a when five letters picked without replacement from {g: 5, a: 3}?", "a": "5/28" }, { "q": "Calculate prob of picking 4 u and 1 t when five letters picked without replacement from {c: 4, t: 3, d: 1, u: 4}.", "a": "1/264" }, { "q": "What is prob of picking 2 y and 3 k when five letters picked without replacement from klyyykkylylyllylly?", "a": "1/306" }, { "q": "Five letters picked without replacement from {l: 9, c: 8}. Give prob of picking 2 l and 3 c.", "a": "72/221" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {x: 4, m: 10}?", "a": "18/143" }, { "q": "What is prob of picking 3 w and 2 e when five letters picked without replacement from {e: 2, j: 1, w: 3}?", "a": "1/6" }, { "q": "Five letters picked without replacement from {g: 9, s: 1, c: 3, r: 4, y: 2}. What is prob of picking 1 c, 2 y, and 2 r?", "a": "1/646" }, { "q": "Five letters picked without replacement from {x: 12, u: 6}. Give prob of picking 3 x and 2 u.", "a": "275/714" }, { "q": "Calculate prob of picking 4 e and 1 m when five letters picked without replacement from {e: 4, m: 1, j: 1, g: 2, d: 2, h: 1}.", "a": "1/462" }, { "q": "What is prob of picking 1 u, 2 b, and 2 o when five letters picked without replacement from {b: 3, o: 2, u: 5}?", "a": "5/84" }, { "q": "Five letters picked without replacement from etetteteeee. Give prob of picking 2 t and 3 e.", "a": "5/11" }, { "q": "Five letters picked without replacement from {o: 2, f: 2, y: 1, c: 4, v: 2, p: 1}. What is prob of picking 2 v and 3 c?", "a": "1/198" }, { "q": "Five letters picked without replacement from {y: 14, k: 4}. What is prob of picking 1 k and 4 y?", "a": "143/306" }, { "q": "Calculate prob of picking 2 z, 1 c, 1 r, and 1 m when five letters picked without replacement from {m: 1, n: 3, z: 3, c: 1, g: 1, r: 6}.", "a": "6/1001" }, { "q": "Five letters picked without replacement from {o: 1, a: 6, z: 3, h: 2, b: 1, d: 1}. What is prob of picking 1 z, 3 a, and 1 h?", "a": "60/1001" }, { "q": "Five letters picked without replacement from xxxxxxxxnxxaaxxxxa. Give prob of picking 3 a and 2 x.", "a": "13/1224" }, { "q": "Five letters picked without replacement from {g: 4, c: 1, i: 2, m: 3, r: 3}. Give prob of picking 1 g, 2 r, 1 c, and 1 m.", "a": "4/143" }, { "q": "What is prob of picking 1 r, 1 i, 2 f, and 1 q when five letters picked without replacement from iqfrqqiqrffffiiff?", "a": "24/221" }, { "q": "Five letters picked without replacement from ewwewwwwwwewww. What is prob of picking 2 e and 3 w?", "a": "45/182" }, { "q": "Calculate prob of picking 1 r and 4 q when five letters picked without replacement from rqqpqqqr.", "a": "5/28" }, { "q": "Five letters picked without replacement from jjkykkklkjyykljyk. What is prob of picking 4 j and 1 y?", "a": "1/1547" }, { "q": "What is prob of picking 4 c and 1 t when five letters picked without replacement from cbdabbctbcbuc?", "a": "1/1287" }, { "q": "What is prob of picking 2 k and 3 w when five letters picked without replacement from kkwwkkkkkkkkwkkk?", "a": "1/56" }, { "q": "What is prob of picking 4 b and 1 o when five letters picked without replacement from {o: 4, b: 12}?", "a": "165/364" }, { "q": "What is prob of picking 3 t and 2 b when five letters picked without replacement from {t: 11, b: 4, g: 4}?", "a": "55/646" }, { "q": "Five letters picked without replacement from fvvfvvvfffvvvfvvv. What is prob of picking 5 f?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {d: 1, b: 2, u: 5, p: 4, c: 1, s: 1}. What is prob of picking 2 p, 1 c, 1 b, and 1 d?", "a": "6/1001" }, { "q": "What is prob of picking 2 b, 1 f, 1 t, and 1 o when five letters picked without replacement from {f: 5, b: 4, t: 4, c: 1, p: 1, o: 3}?", "a": "5/119" }, { "q": "Five letters picked without replacement from pxqxqpqpqqqqqmp. Give prob of picking 2 x and 3 p.", "a": "4/3003" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {f: 8, k: 3, x: 2, o: 5}?", "a": "1/8568" }, { "q": "What is prob of picking 1 a, 1 g, 2 f, and 1 h when five letters picked without replacement from haqqwhafaqhgfqw?", "a": "3/1001" }, { "q": "What is prob of picking 2 q and 3 t when five letters picked without replacement from tuutcqcuuujccucucuqt?", "a": "1/15504" }, { "q": "What is prob of picking 1 l and 4 u when five letters picked without replacement from {l: 13, u: 7}?", "a": "455/15504" }, { "q": "What is prob of picking 3 w, 1 s, and 1 a when five letters picked without replacement from {v: 2, n: 3, w: 1, d: 1, a: 4, s: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from fhhhfhhhff. What is prob of picking 2 h and 3 f?", "a": "5/21" }, { "q": "What is prob of picking 1 d, 1 f, 2 m, and 1 y when five letters picked without replacement from {d: 1, y: 1, w: 1, f: 2, m: 3, r: 2}?", "a": "1/42" }, { "q": "Five letters picked without replacement from djjjdljjjdjldd. Give prob of picking 3 j, 1 d, and 1 l.", "a": "25/143" }, { "q": "Calculate prob of picking 1 z, 3 j, and 1 x when five letters picked without replacement from mzxxxxjzjzmmjzxmjzj.", "a": "125/5814" }, { "q": "Five letters picked without replacement from wzwzwwwbwwwbwbw. What is prob of picking 3 b and 2 w?", "a": "15/1001" }, { "q": "What is prob of picking 1 n, 2 e, 1 y, and 1 q when five letters picked without replacement from {n: 2, y: 1, g: 2, q: 2, e: 3, d: 1}?", "a": "2/77" }, { "q": "What is prob of picking 1 e and 4 j when five letters picked without replacement from {a: 1, j: 4, e: 4}?", "a": "2/63" }, { "q": "Five letters picked without replacement from qjqqjjjq. Give prob of picking 4 j and 1 q.", "a": "1/14" }, { "q": "What is prob of picking 2 w and 3 m when five letters picked without replacement from {m: 6, w: 7, q: 1}?", "a": "30/143" }, { "q": "Calculate prob of picking 2 o and 3 w when five letters picked without replacement from wwooooooooooow.", "a": "5/182" }, { "q": "Five letters picked without replacement from ifcqquciqqcqqqqfcqu. Give prob of picking 2 q, 2 c, and 1 f.", "a": "12/323" }, { "q": "Five letters picked without replacement from fdjddfdjjjf. What is prob of picking 3 j and 2 f?", "a": "2/77" }, { "q": "Five letters picked without replacement from aayzszbzjbysbjzz. What is prob of picking 3 b, 1 y, and 1 s?", "a": "1/1092" }, { "q": "Five letters picked without replacement from {y: 2, f: 2, m: 6, s: 1, b: 2}. Give prob of picking 3 m and 2 y.", "a": "20/1287" }, { "q": "Calculate prob of picking 3 z and 2 i when five letters picked without replacement from zzizzzizzzzzzzizz.", "a": "3/17" }, { "q": "What is prob of picking 4 f and 1 x when five letters picked without replacement from {x: 14, f: 1}?", "a": "0" }, { "q": "Calculate prob of picking 2 o, 2 v, and 1 s when five letters picked without replacement from {v: 2, s: 3, o: 1, j: 2}.", "a": "0" }, { "q": "What is prob of picking 1 q, 1 f, and 3 n when five letters picked without replacement from qfffnfqnnffffffff?", "a": "6/1547" }, { "q": "Five letters picked without replacement from {d: 3, u: 1, m: 5, a: 4}. What is prob of picking 2 a, 1 u, 1 m, and 1 d?", "a": "10/143" }, { "q": "Five letters picked without replacement from {c: 9, x: 4, v: 2, g: 4}. What is prob of picking 5 c?", "a": "7/646" }, { "q": "Five letters picked without replacement from {e: 1, q: 2, w: 1, k: 1, c: 1, f: 2}. What is prob of picking 1 c, 2 q, 1 k, and 1 f?", "a": "1/28" }, { "q": "Calculate prob of picking 3 c, 1 j, and 1 u when five letters picked without replacement from {j: 12, u: 1, c: 5, s: 1, a: 1}.", "a": "5/646" }, { "q": "Five letters picked without replacement from mssmsmmssmsshs. Give prob of picking 3 m and 2 s.", "a": "20/143" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from kzzzzzkkkzkkzkkkkkk.", "a": "22/323" }, { "q": "Five letters picked without replacement from ccrccrrrr. What is prob of picking 5 r?", "a": "1/126" }, { "q": "Five letters picked without replacement from {z: 2, o: 4, r: 2, i: 4}. What is prob of picking 1 o, 2 r, and 2 z?", "a": "1/198" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gggggfggfgg?", "a": "3/11" }, { "q": "Five letters picked without replacement from mmmhgmjhjmgmj. What is prob of picking 3 m, 1 h, and 1 j?", "a": "40/429" }, { "q": "Five letters picked without replacement from fdmfmfdmdfdmfmi. Give prob of picking 4 f and 1 m.", "a": "25/3003" }, { "q": "Five letters picked without replacement from {o: 2, h: 3, m: 2, i: 3}. What is prob of picking 3 h, 1 i, and 1 o?", "a": "1/42" }, { "q": "Five letters picked without replacement from {w: 4, h: 4, t: 1}. What is prob of picking 1 t and 4 h?", "a": "1/126" }, { "q": "Five letters picked without replacement from {z: 11, l: 9}. Give prob of picking 4 l and 1 z.", "a": "231/2584" }, { "q": "Five letters picked without replacement from {b: 5, p: 5}. What is prob of picking 2 p and 3 b?", "a": "25/63" }, { "q": "Calculate prob of picking 2 o, 1 a, 1 x, and 1 f when five letters picked without replacement from foxaafsxsoxf.", "a": "1/44" }, { "q": "Five letters picked without replacement from {m: 3, y: 2, l: 1, c: 1, p: 1, o: 1}. What is prob of picking 4 c and 1 m?", "a": "0" }, { "q": "Calculate prob of picking 2 d, 2 a, and 1 m when five letters picked without replacement from admdananan.", "a": "1/42" }, { "q": "Five letters picked without replacement from {q: 15, c: 4}. Give prob of picking 3 q and 2 c.", "a": "455/1938" }, { "q": "What is prob of picking 3 m and 2 j when five letters picked without replacement from mjmmmjmjmmjmj?", "a": "560/1287" }, { "q": "What is prob of picking 4 i and 1 b when five letters picked without replacement from {i: 7, b: 1}?", "a": "5/8" }, { "q": "Calculate prob of picking 1 b, 2 k, and 2 i when five letters picked without replacement from {i: 2, e: 4, f: 1, b: 3, q: 2, k: 3}.", "a": "3/1001" }, { "q": "What is prob of picking 1 l and 4 j when five letters picked without replacement from {l: 4, f: 2, j: 14}?", "a": "1001/3876" }, { "q": "What is prob of picking 1 u, 1 q, 2 e, and 1 w when five letters picked without replacement from {w: 2, u: 3, q: 1, e: 2, m: 4}?", "a": "1/132" }, { "q": "Five letters picked without replacement from zyzzzzyyyz. What is prob of picking 5 z?", "a": "1/42" }, { "q": "Calculate prob of picking 1 b, 2 e, 1 x, and 1 u when five letters picked without replacement from xxbzexezuxxe.", "a": "5/264" }, { "q": "Five letters picked without replacement from mmmmmmmtmmmm. What is prob of picking 5 m?", "a": "7/12" }, { "q": "What is prob of picking 1 m and 4 t when five letters picked without replacement from {m: 2, t: 2, e: 4, f: 11, g: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from lxxlxlxxxx. What is prob of picking 2 l and 3 x?", "a": "5/12" }, { "q": "Five letters picked without replacement from {z: 7, i: 1}. What is prob of picking 4 z and 1 i?", "a": "5/8" }, { "q": "Calculate prob of picking 4 d and 1 j when five letters picked without replacement from {d: 7, j: 7}.", "a": "35/286" }, { "q": "Calculate prob of picking 4 j and 1 s when five letters picked without replacement from jjtjjsjttttssjjj.", "a": "5/104" }, { "q": "What is prob of picking 3 p, 1 h, and 1 e when five letters picked without replacement from gpthej?", "a": "0" }, { "q": "Five letters picked without replacement from wwxxwwxwwxwwwwwxw. What is prob of picking 4 x and 1 w?", "a": "15/1547" }, { "q": "Calculate prob of picking 2 h, 1 i, and 2 l when five letters picked without replacement from {t: 12, i: 4, h: 2, l: 2}.", "a": "1/3876" }, { "q": "Calculate prob of picking 1 e, 1 d, 1 i, and 2 f when five letters picked without replacement from diiefdfedcddicii.", "a": "25/2184" }, { "q": "Five letters picked without replacement from {w: 2, l: 9, o: 4}. What is prob of picking 1 w and 4 l?", "a": "12/143" }, { "q": "Calculate prob of picking 2 j, 2 r, and 1 b when five letters picked without replacement from {r: 2, k: 1, j: 5, b: 4}.", "a": "5/99" }, { "q": "What is prob of picking 4 c and 1 s when five letters picked without replacement from yycsccccscccssscc?", "a": "75/442" }, { "q": "Calculate prob of picking 2 d, 2 b, and 1 f when five letters picked without replacement from {d: 4, f: 1, b: 6}.", "a": "15/77" }, { "q": "Calculate prob of picking 3 j and 2 r when five letters picked without replacement from rrrrjrrrrrrjrrjjjrr.", "a": "455/5814" }, { "q": "Calculate prob of picking 1 a, 3 d, and 1 x when five letters picked without replacement from xddxxdxxdxaaxdada.", "a": "20/221" }, { "q": "Five letters picked without replacement from {e: 4, v: 1, b: 3, q: 2, i: 3}. What is prob of picking 3 e, 1 b, and 1 q?", "a": "8/429" }, { "q": "Five letters picked without replacement from nenunzunzenzeez. Give prob of picking 1 z, 2 n, and 2 e.", "a": "80/1001" }, { "q": "Five letters picked without replacement from {s: 5, j: 3}. What is prob of picking 3 s and 2 j?", "a": "15/28" }, { "q": "Calculate prob of picking 4 g and 1 i when five letters picked without replacement from izgzi.", "a": "0" }, { "q": "What is prob of picking 1 w, 2 s, 1 e, and 1 u when five letters picked without replacement from swuwewswwuwsuswwwss?", "a": "45/1292" }, { "q": "What is prob of picking 1 g, 2 u, 1 a, and 1 c when five letters picked without replacement from cochauguo?", "a": "1/63" }, { "q": "Five letters picked without replacement from {w: 1, g: 2, q: 1, p: 1, j: 3, f: 1}. Give prob of picking 3 j, 1 q, and 1 g.", "a": "1/63" }, { "q": "What is prob of picking 3 x and 2 c when five letters picked without replacement from ycqxxqywmmqqcqqx?", "a": "1/4368" }, { "q": "Five letters picked without replacement from rrorrhhzrozhorhhz. What is prob of picking 1 z and 4 r?", "a": "45/6188" }, { "q": "Five letters picked without replacement from jljlljjj. Give prob of picking 3 l and 2 j.", "a": "5/28" }, { "q": "Five letters picked without replacement from {e: 6, q: 2, a: 3, k: 3}. What is prob of picking 1 k and 4 e?", "a": "45/2002" }, { "q": "Five letters picked without replacement from bacbykabbakakakk. Give prob of picking 1 k, 1 b, 2 a, and 1 y.", "a": "25/546" }, { "q": "What is prob of picking 2 f, 1 p, and 2 y when five letters picked without replacement from {p: 1, c: 1, f: 3, r: 2, y: 2, n: 2}?", "a": "1/154" }, { "q": "Calculate prob of picking 3 v and 2 w when five letters picked without replacement from wvvvvjjvvvwwwvwv.", "a": "5/26" }, { "q": "Five letters picked without replacement from hpddppdpdpphpphdphdp. Give prob of picking 5 d.", "a": "1/2584" }, { "q": "What is prob of picking 2 c, 1 b, and 2 x when five letters picked without replacement from {b: 3, c: 4, g: 3, i: 4, x: 3}?", "a": "27/3094" }, { "q": "Five letters picked without replacement from ggggedegegeggegggg. What is prob of picking 4 e and 1 d?", "a": "5/8568" }, { "q": "Five letters picked without replacement from avhvvaahviaaua. What is prob of picking 1 a and 4 v?", "a": "3/1001" }, { "q": "Calculate prob of picking 2 f, 2 u, and 1 k when five letters picked without replacement from dddodfdfdjdkuu.", "a": "1/2002" }, { "q": "Five letters picked without replacement from {x: 1, b: 5, c: 10}. What is prob of picking 3 b, 1 c, and 1 x?", "a": "25/1092" }, { "q": "Five letters picked without replacement from nnnqnqnnnn. Give prob of picking 4 n and 1 q.", "a": "5/9" }, { "q": "Five letters picked without replacement from oggooogoygooogogo. Give prob of picking 2 o and 3 g.", "a": "225/1547" }, { "q": "Five letters picked without replacement from gjggjjgggnjn. What is prob of picking 2 g and 3 j?", "a": "5/66" }, { "q": "Calculate prob of picking 3 x and 2 q when five letters picked without replacement from xxxxxxnqxqxnxxxxxxxn.", "a": "455/15504" }, { "q": "Five letters picked without replacement from {f: 3, g: 9, v: 4}. What is prob of picking 3 f and 2 v?", "a": "1/728" }, { "q": "Five letters picked without replacement from zzoozzz. What is prob of picking 2 o and 3 z?", "a": "10/21" }, { "q": "Five letters picked without replacement from {m: 2, s: 3, q: 3, c: 5, y: 3}. Give prob of picking 1 c, 2 q, and 2 m.", "a": "5/1456" }, { "q": "What is prob of picking 3 e, 1 w, and 1 l when five letters picked without replacement from lelllllwweell?", "a": "16/1287" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from zhzzhzzhhhzhzzh?", "a": "8/429" }, { "q": "Five letters picked without replacement from {g: 9, s: 6}. Give prob of picking 2 g and 3 s.", "a": "240/1001" }, { "q": "Calculate prob of picking 2 y, 1 m, 1 i, and 1 n when five letters picked without replacement from {i: 1, g: 2, n: 5, u: 4, y: 7, m: 1}.", "a": "35/5168" }, { "q": "What is prob of picking 3 z and 2 v when five letters picked without replacement from zzzzvgzvz?", "a": "10/63" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from aaaaaqaaaaq.", "a": "3/11" }, { "q": "Five letters picked without replacement from {i: 3, l: 3}. Give prob of picking 2 l and 3 i.", "a": "1/2" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from nnnnknkkkkkk.", "a": "1/792" }, { "q": "Five letters picked without replacement from aababbba. What is prob of picking 4 b and 1 a?", "a": "1/14" }, { "q": "Five letters picked without replacement from {n: 1, l: 5, d: 1, f: 5}. What is prob of picking 1 n and 4 l?", "a": "5/792" }, { "q": "Five letters picked without replacement from {u: 6, f: 4, n: 5}. Give prob of picking 1 n and 4 f.", "a": "5/3003" }, { "q": "Five letters picked without replacement from {f: 1, h: 1, r: 2, v: 3, d: 8}. What is prob of picking 1 h, 2 r, and 2 d?", "a": "4/429" }, { "q": "Calculate prob of picking 2 d, 1 z, 1 m, and 1 k when five letters picked without replacement from ssddmdzzsbkd.", "a": "1/66" }, { "q": "Calculate prob of picking 3 k, 1 i, and 1 m when five letters picked without replacement from {i: 1, m: 2, k: 6}.", "a": "20/63" }, { "q": "Five letters picked without replacement from {w: 5, p: 3, f: 8, c: 3}. Give prob of picking 2 w, 1 c, and 2 f.", "a": "70/969" }, { "q": "Five letters picked without replacement from oooooohoooooohoooooo. What is prob of picking 1 h and 4 o?", "a": "15/38" }, { "q": "Calculate prob of picking 1 s, 2 n, and 2 o when five letters picked without replacement from {n: 2, r: 2, s: 2, k: 4, o: 3, p: 2}.", "a": "2/1001" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from aaaaararaaararraar?", "a": "11/119" }, { "q": "Five letters picked without replacement from uccddnucnhnbc. What is prob of picking 1 u, 1 d, 2 n, and 1 h?", "a": "4/429" }, { "q": "Calculate prob of picking 4 h and 1 t when five letters picked without replacement from hhcchtchhhhcctthhhh.", "a": "55/646" }, { "q": "What is prob of picking 3 q and 2 c when five letters picked without replacement from {c: 4, q: 4, n: 6}?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {d: 1, g: 1, i: 2, y: 1, c: 5, k: 1}. Give prob of picking 1 k, 1 y, 1 g, and 2 c.", "a": "5/231" }, { "q": "Five letters picked without replacement from {t: 4, h: 3, b: 8}. Give prob of picking 2 h, 2 b, and 1 t.", "a": "16/143" }, { "q": "What is prob of picking 2 y, 1 l, and 2 e when five letters picked without replacement from {u: 2, d: 1, e: 2, l: 1, y: 3, g: 2}?", "a": "1/154" }, { "q": "What is prob of picking 3 n and 2 g when five letters picked without replacement from {g: 2, n: 13}?", "a": "2/21" }, { "q": "Five letters picked without replacement from bnhnhbhh. Give prob of picking 4 h and 1 b.", "a": "1/28" }, { "q": "What is prob of picking 1 c, 1 o, and 3 q when five letters picked without replacement from {h: 2, q: 5, c: 1, o: 3}?", "a": "5/77" }, { "q": "Calculate prob of picking 2 l and 3 n when five letters picked without replacement from nnlnliniinilnnnlni.", "a": "1/17" }, { "q": "Five letters picked without replacement from {t: 5, z: 7, j: 7}. Give prob of picking 3 j, 1 t, and 1 z.", "a": "1225/11628" }, { "q": "Five letters picked without replacement from mazzaesfmmmzas. What is prob of picking 1 z, 2 s, 1 e, and 1 f?", "a": "3/2002" }, { "q": "Calculate prob of picking 1 r, 1 l, and 3 a when five letters picked without replacement from aalaaalllralla.", "a": "15/143" }, { "q": "Five letters picked without replacement from jxjuilixiioix. What is prob of picking 2 j, 1 x, 1 u, and 1 l?", "a": "1/429" }, { "q": "Calculate prob of picking 1 d, 3 o, and 1 x when five letters picked without replacement from {o: 4, d: 1, x: 9}.", "a": "18/1001" }, { "q": "Five letters picked without replacement from ffflffffffffff. What is prob of picking 4 f and 1 l?", "a": "5/14" }, { "q": "Five letters picked without replacement from eoitiooooitety. Give prob of picking 1 o, 2 t, and 2 e.", "a": "15/2002" }, { "q": "Five letters picked without replacement from uuuujujuuj. What is prob of picking 5 u?", "a": "1/12" }, { "q": "Five letters picked without replacement from qqqbquupmpquaaubqu. What is prob of picking 2 p, 1 m, 1 u, and 1 q?", "a": "5/1428" }, { "q": "Five letters picked without replacement from ooovoovoooooovvvvoo. Give prob of picking 4 v and 1 o.", "a": "65/3876" }, { "q": "Five letters picked without replacement from {r: 4, i: 1, o: 3}. What is prob of picking 1 r and 4 i?", "a": "0" }, { "q": "Five letters picked without replacement from aykwyyypypykpyyyy. What is prob of picking 4 y and 1 a?", "a": "15/442" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from xxrxrxrrxrxrroxxxr?", "a": "1/153" }, { "q": "What is prob of picking 1 w and 4 e when five letters picked without replacement from wvvwevevvfe?", "a": "0" }, { "q": "Calculate prob of picking 2 w, 2 p, and 1 m when five letters picked without replacement from {m: 2, f: 1, p: 12, r: 2, w: 3}.", "a": "33/1292" }, { "q": "Calculate prob of picking 1 o, 1 n, 2 z, and 1 i when five letters picked without replacement from oizozzjoozno.", "a": "5/132" }, { "q": "Calculate prob of picking 2 m and 3 z when five letters picked without replacement from myzmyzmmyzzmmmyyzyz.", "a": "35/969" }, { "q": "Five letters picked without replacement from sosooooo. What is prob of picking 4 o and 1 s?", "a": "15/28" }, { "q": "Five letters picked without replacement from {n: 2, o: 5}. Give prob of picking 2 n and 3 o.", "a": "10/21" }, { "q": "What is prob of picking 2 a and 3 m when five letters picked without replacement from mmmmmmammmmamm?", "a": "10/91" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {g: 1, m: 6}?", "a": "2/7" }, { "q": "What is prob of picking 5 p when five letters picked without replacement from ppppppp?", "a": "1" }, { "q": "Calculate prob of picking 3 z and 2 a when five letters picked without replacement from {a: 4, n: 1, r: 5, v: 1, z: 4}.", "a": "8/1001" }, { "q": "What is prob of picking 2 p, 1 r, 1 a, and 1 o when five letters picked without replacement from {o: 2, a: 1, p: 2, r: 1}?", "a": "1/3" }, { "q": "What is prob of picking 2 m and 3 z when five letters picked without replacement from mmjjmzjjjmzmzjzj?", "a": "5/546" }, { "q": "Calculate prob of picking 3 u, 1 r, and 1 z when five letters picked without replacement from zuxxruzxooxxuuzx.", "a": "1/364" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hhyhhhhyh.", "a": "1/6" }, { "q": "What is prob of picking 1 f and 4 g when five letters picked without replacement from gfgfggf?", "a": "1/7" }, { "q": "Five letters picked without replacement from ommomsommssqssnmmooo. Give prob of picking 2 m, 1 o, 1 q, and 1 n.", "a": "21/2584" }, { "q": "What is prob of picking 1 w, 1 d, and 3 h when five letters picked without replacement from idhihiiihhdiddwhhiid?", "a": "25/3876" }, { "q": "Five letters picked without replacement from {m: 7, u: 2}. What is prob of picking 5 m?", "a": "1/6" }, { "q": "Five letters picked without replacement from ahhfaphhhhmp. Give prob of picking 4 h and 1 p.", "a": "5/132" }, { "q": "Five letters picked without replacement from mmdmmmmddmmmdmddmmm. Give prob of picking 4 m and 1 d.", "a": "715/1938" }, { "q": "Calculate prob of picking 2 d and 3 z when five letters picked without replacement from qqzqqqd.", "a": "0" }, { "q": "What is prob of picking 1 h, 1 f, 1 w, 1 a, and 1 q when five letters picked without replacement from hqhhwwqwhqfha?", "a": "5/143" }, { "q": "Five letters picked without replacement from {p: 1, f: 8, s: 3}. Give prob of picking 3 f and 2 s.", "a": "7/33" }, { "q": "What is prob of picking 1 b, 1 l, 1 x, 1 g, and 1 d when five letters picked without replacement from {b: 1, t: 2, g: 3, x: 1, l: 1, d: 4}?", "a": "1/66" }, { "q": "Calculate prob of picking 1 g, 3 i, and 1 v when five letters picked without replacement from vcggicvgccg.", "a": "0" }, { "q": "Five letters picked without replacement from {h: 4, y: 1, z: 13}. What is prob of picking 4 z and 1 y?", "a": "715/8568" }, { "q": "Five letters picked without replacement from {n: 6, e: 7, w: 5}. Give prob of picking 3 w, 1 n, and 1 e.", "a": "5/102" }, { "q": "Five letters picked without replacement from njjjdjdnnjnnjnjnn. What is prob of picking 2 d and 3 j?", "a": "5/884" }, { "q": "Five letters picked without replacement from {t: 4, l: 3, b: 2, n: 2, j: 3, v: 3}. What is prob of picking 1 n, 1 b, 1 t, 1 l, and 1 j?", "a": "36/1547" }, { "q": "Five letters picked without replacement from gzddddvd. Give prob of picking 5 d.", "a": "1/56" }, { "q": "Five letters picked without replacement from wjnwwwnjjw. Give prob of picking 2 n, 2 j, and 1 w.", "a": "5/84" }, { "q": "Five letters picked without replacement from {i: 5, t: 11}. What is prob of picking 2 i and 3 t?", "a": "275/728" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from ffffffffff.", "a": "1" }, { "q": "Five letters picked without replacement from iexxieixxxiexxxxii. Give prob of picking 4 i and 1 e.", "a": "5/952" }, { "q": "Five letters picked without replacement from {x: 2, y: 1, t: 1, j: 2}. What is prob of picking 2 j, 1 t, and 2 x?", "a": "1/6" }, { "q": "What is prob of picking 3 h, 1 j, and 1 o when five letters picked without replacement from {j: 3, o: 3, h: 6}?", "a": "5/22" }, { "q": "Calculate prob of picking 2 c and 3 x when five letters picked without replacement from zzzzxxyxxczxzyczcyxx.", "a": "35/5168" }, { "q": "Five letters picked without replacement from gmkkkk. What is prob of picking 4 k and 1 g?", "a": "1/6" }, { "q": "Calculate prob of picking 2 a, 1 w, and 2 c when five letters picked without replacement from cwcasasvwwwvycvs.", "a": "1/364" }, { "q": "Five letters picked without replacement from vwvvawvvwaavaavavv. Give prob of picking 1 v and 4 a.", "a": "15/952" }, { "q": "Calculate prob of picking 1 i and 4 r when five letters picked without replacement from rrrrrrrrriirrirrrr.", "a": "65/136" }, { "q": "Calculate prob of picking 2 l and 3 n when five letters picked without replacement from njnnlnllj.", "a": "2/21" }, { "q": "Five letters picked without replacement from {a: 12, m: 2}. Give prob of picking 3 a and 2 m.", "a": "10/91" }, { "q": "What is prob of picking 1 n, 1 z, 1 u, and 2 g when five letters picked without replacement from {n: 1, z: 3, g: 10, u: 6}?", "a": "135/2584" }, { "q": "Five letters picked without replacement from {o: 2, k: 11}. Give prob of picking 2 o and 3 k.", "a": "5/39" }, { "q": "What is prob of picking 2 d, 1 v, and 2 m when five letters picked without replacement from mvdmmddmmmda?", "a": "5/44" }, { "q": "Calculate prob of picking 1 s, 2 b, and 2 w when five letters picked without replacement from {p: 6, o: 2, s: 2, u: 1, w: 4, b: 3}.", "a": "1/238" }, { "q": "Five letters picked without replacement from ppzzzpzpzzzzzzqzz. Give prob of picking 1 q, 1 z, and 3 p.", "a": "12/1547" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from aaaeaacaaaaaaaeeeaea.", "a": "1/15504" }, { "q": "Five letters picked without replacement from {j: 6, s: 5}. What is prob of picking 5 j?", "a": "1/77" }, { "q": "What is prob of picking 2 o and 3 e when five letters picked without replacement from keokkoooekkeek?", "a": "12/1001" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {m: 7, s: 11}.", "a": "11/204" }, { "q": "What is prob of picking 2 j, 1 e, and 2 l when five letters picked without replacement from {l: 12, e: 5, j: 2}?", "a": "55/1938" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {k: 3, e: 14}?", "a": "11/34" }, { "q": "Five letters picked without replacement from nennnnnnnnennn. Give prob of picking 5 n.", "a": "36/91" }, { "q": "Five letters picked without replacement from {t: 8}. Give prob of picking 5 t.", "a": "1" }, { "q": "Five letters picked without replacement from {u: 9, w: 5, j: 6}. Give prob of picking 2 w, 1 j, and 2 u.", "a": "45/323" }, { "q": "Five letters picked without replacement from {l: 3, r: 2, a: 6}. Give prob of picking 2 r and 3 a.", "a": "10/231" }, { "q": "Five letters picked without replacement from {p: 6, b: 3, i: 11}. Give prob of picking 2 p, 2 b, and 1 i.", "a": "165/5168" }, { "q": "Five letters picked without replacement from {r: 12, a: 6, h: 2}. What is prob of picking 1 r and 4 a?", "a": "15/1292" }, { "q": "Five letters picked without replacement from {i: 7, j: 3, x: 1, v: 1}. What is prob of picking 1 j, 3 i, and 1 x?", "a": "35/264" }, { "q": "Calculate prob of picking 2 v, 2 o, and 1 n when five letters picked without replacement from novvvvxovvnnv.", "a": "7/143" }, { "q": "Five letters picked without replacement from {l: 1, a: 5, x: 2, p: 2}. What is prob of picking 4 a and 1 l?", "a": "5/252" }, { "q": "What is prob of picking 4 s and 1 h when five letters picked without replacement from sssshssshsshhs?", "a": "60/143" }, { "q": "What is prob of picking 1 y, 1 z, and 3 w when five letters picked without replacement from zzzwzwywzyyzyywzyzy?", "a": "56/2907" }, { "q": "Calculate prob of picking 2 q, 1 k, and 2 r when five letters picked without replacement from rrmkmkqrqrm.", "a": "2/77" }, { "q": "Five letters picked without replacement from alflxalafxf. Give prob of picking 2 a, 1 l, and 2 x.", "a": "3/154" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from {k: 1, a: 1, n: 9}?", "a": "3/11" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from ssggsggsssssgggg?", "a": "1/78" }, { "q": "Five letters picked without replacement from kllcllkclkldkkkylky. Give prob of picking 2 c, 1 l, 1 d, and 1 k.", "a": "49/11628" }, { "q": "Calculate prob of picking 2 z and 3 q when five letters picked without replacement from qzqzqzqzqzzqqzz.", "a": "140/429" }, { "q": "Five letters picked without replacement from {f: 2, w: 2, n: 2, z: 3, p: 11}. What is prob of picking 1 n, 1 w, 1 z, and 2 p?", "a": "55/1292" }, { "q": "Calculate prob of picking 3 q and 2 v when five letters picked without replacement from {q: 5, v: 15}.", "a": "175/2584" }, { "q": "Five letters picked without replacement from kokdxdzcdxx. Give prob of picking 1 k, 1 o, and 3 d.", "a": "1/231" }, { "q": "Five letters picked without replacement from {x: 5, l: 4, b: 6, d: 2, a: 1, t: 1}. Give prob of picking 1 x, 1 b, and 3 l.", "a": "10/969" }, { "q": "Five letters picked without replacement from eguyy. Give prob of picking 3 u and 2 g.", "a": "0" }, { "q": "Calculate prob of picking 1 w, 3 g, and 1 m when five letters picked without replacement from wwigimwhghhg.", "a": "1/264" }, { "q": "What is prob of picking 2 o and 3 d when five letters picked without replacement from {v: 4, d: 1, u: 4, l: 2, g: 6, o: 2}?", "a": "0" }, { "q": "What is prob of picking 2 r, 2 a, and 1 y when five letters picked without replacement from yaaaaayyorraa?", "a": "7/143" }, { "q": "Calculate prob of picking 4 s and 1 y when five letters picked without replacement from {s: 5, h: 2, r: 1, l: 2, p: 2, y: 5}.", "a": "25/6188" }, { "q": "What is prob of picking 2 w, 2 s, and 1 g when five letters picked without replacement from {c: 10, g: 1, s: 3, q: 1, l: 1, w: 4}?", "a": "3/2584" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from uvpvvpcccucpvcvuuvuv.", "a": "1/15504" }, { "q": "Five letters picked without replacement from {a: 5, f: 7, x: 2}. What is prob of picking 3 a, 1 f, and 1 x?", "a": "10/143" }, { "q": "Calculate prob of picking 3 x, 1 k, and 1 g when five letters picked without replacement from {k: 5, x: 7, g: 2}.", "a": "25/143" }, { "q": "Five letters picked without replacement from wwwwwlwuwwlwuww. Give prob of picking 4 w and 1 l.", "a": "20/91" }, { "q": "Five letters picked without replacement from {d: 5, v: 6}. What is prob of picking 1 d and 4 v?", "a": "25/154" }, { "q": "Calculate prob of picking 1 r, 2 q, and 2 b when five letters picked without replacement from bujuquurubqtuqrbt.", "a": "9/3094" }, { "q": "What is prob of picking 4 r and 1 q when five letters picked without replacement from {q: 2, r: 5, i: 4}?", "a": "5/231" }, { "q": "Five letters picked without replacement from ybbihahihyaaiyz. Give prob of picking 1 h, 1 a, 1 z, and 2 y.", "a": "9/1001" }, { "q": "Five letters picked without replacement from wwwwwww. What is prob of picking 5 w?", "a": "1" }, { "q": "Five letters picked without replacement from tsststtttysysstts. Give prob of picking 1 s, 2 y, and 2 t.", "a": "7/221" }, { "q": "What is prob of picking 3 p and 2 l when five letters picked without replacement from {w: 1, p: 7, l: 7}?", "a": "35/143" }, { "q": "Five letters picked without replacement from llkhllklkhkk. Give prob of picking 2 h and 3 k.", "a": "5/396" }, { "q": "Calculate prob of picking 1 v and 4 k when five letters picked without replacement from {v: 1, k: 7}.", "a": "5/8" }, { "q": "Calculate prob of picking 1 p, 1 m, 1 c, 1 d, and 1 z when five letters picked without replacement from {m: 2, z: 5, a: 2, d: 3, p: 6, c: 1}.", "a": "5/323" }, { "q": "What is prob of picking 3 g and 2 v when five letters picked without replacement from vkvggvgggkh?", "a": "5/77" }, { "q": "Five letters picked without replacement from {m: 4, u: 2, y: 2, v: 1, x: 1, d: 5}. Give prob of picking 1 u, 1 y, 1 x, 1 d, and 1 v.", "a": "20/3003" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from cdcddccccdcddddccdd.", "a": "7/323" }, { "q": "Calculate prob of picking 4 s and 1 v when five letters picked without replacement from {s: 5, v: 13}.", "a": "65/8568" }, { "q": "Five letters picked without replacement from nxixiiininn. Give prob of picking 2 x, 2 n, and 1 i.", "a": "5/77" }, { "q": "Five letters picked without replacement from vlvrxxvvtrxlrt. What is prob of picking 2 l, 2 t, and 1 x?", "a": "3/2002" }, { "q": "Five letters picked without replacement from {e: 15, g: 3, d: 1}. What is prob of picking 3 e, 1 g, and 1 d?", "a": "455/3876" }, { "q": "Five letters picked without replacement from jjjvlfjjjjjjjjjvvvv. Give prob of picking 4 v and 1 j.", "a": "5/969" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from {s: 1, r: 12}?", "a": "8/13" }, { "q": "Five letters picked without replacement from ohdrhshoohhhohd. What is prob of picking 2 o, 2 d, and 1 r?", "a": "2/1001" }, { "q": "Five letters picked without replacement from uuufuuuffuf. What is prob of picking 3 u and 2 f?", "a": "5/11" }, { "q": "Five letters picked without replacement from lllllm. Give prob of picking 5 l.", "a": "1/6" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from fjffjfffjjfffffff?", "a": "99/476" }, { "q": "Calculate prob of picking 2 q, 1 m, and 2 h when five letters picked without replacement from qqmzhiqjzhq.", "a": "1/77" }, { "q": "Five letters picked without replacement from xaxxaxxaxxxxxxxaxxxx. Give prob of picking 4 a and 1 x.", "a": "1/969" }, { "q": "Five letters picked without replacement from vlianxaaailivxalx. Give prob of picking 2 i, 1 a, 1 n, and 1 x.", "a": "45/6188" }, { "q": "What is prob of picking 1 p, 2 t, 1 e, and 1 g when five letters picked without replacement from fptftgeg?", "a": "1/28" }, { "q": "Five letters picked without replacement from kmoomzmoommmokoo. Give prob of picking 5 o.", "a": "1/208" }, { "q": "Five letters picked without replacement from {m: 2, w: 6, d: 8, s: 2}. Give prob of picking 2 w, 1 s, and 2 d.", "a": "5/51" }, { "q": "Calculate prob of picking 1 c, 2 r, and 2 y when five letters picked without replacement from {j: 1, c: 2, y: 3, r: 2}.", "a": "3/28" }, { "q": "Calculate prob of picking 4 x and 1 o when five letters picked without replacement from xxoxxomoogoxxoxoxxxg.", "a": "245/2584" }, { "q": "Calculate prob of picking 1 l, 2 o, and 2 w when five letters picked without replacement from {w: 3, v: 1, o: 8, l: 2}.", "a": "12/143" }, { "q": "Five letters picked without replacement from ppqppqpqiqqqpqpi. Give prob of picking 4 p and 1 i.", "a": "5/312" }, { "q": "Five letters picked without replacement from {d: 1, x: 7}. Give prob of picking 3 d and 2 x.", "a": "0" }, { "q": "Calculate prob of picking 1 p, 1 n, and 3 v when five letters picked without replacement from {v: 3, p: 1, n: 3}.", "a": "1/7" }, { "q": "Calculate prob of picking 4 c and 1 e when five letters picked without replacement from {c: 5, e: 2}.", "a": "10/21" }, { "q": "Five letters picked without replacement from vvaxvaknv. What is prob of picking 1 x, 2 v, and 2 a?", "a": "1/21" }, { "q": "Five letters picked without replacement from {m: 9, h: 3, i: 2}. What is prob of picking 3 h and 2 i?", "a": "1/2002" }, { "q": "Five letters picked without replacement from {n: 2, j: 2, p: 2}. Give prob of picking 2 n and 3 j.", "a": "0" }, { "q": "Five letters picked without replacement from {d: 13, r: 1}. What is prob of picking 5 d?", "a": "9/14" }, { "q": "Five letters picked without replacement from {v: 2, m: 2, x: 2, k: 6, n: 4}. What is prob of picking 4 n and 1 k?", "a": "1/728" }, { "q": "Five letters picked without replacement from {r: 4, k: 3, n: 1, a: 3, s: 1, c: 4}. Give prob of picking 1 c, 2 r, 1 s, and 1 a.", "a": "3/182" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from hhhhhhhhhh?", "a": "1" }, { "q": "What is prob of picking 1 d, 1 h, and 3 x when five letters picked without replacement from xhxdhhhhhxxxhx?", "a": "10/143" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from {f: 12, y: 6}?", "a": "1/1428" }, { "q": "What is prob of picking 2 m and 3 f when five letters picked without replacement from {m: 4, f: 6}?", "a": "10/21" }, { "q": "Calculate prob of picking 3 f and 2 e when five letters picked without replacement from {e: 11, f: 7}.", "a": "275/1224" }, { "q": "What is prob of picking 1 v, 2 g, and 2 d when five letters picked without replacement from gludlulluvvvudvgdvlv?", "a": "3/2584" }, { "q": "Calculate prob of picking 3 z and 2 h when five letters picked without replacement from {k: 1, z: 1, h: 6}.", "a": "0" }, { "q": "What is prob of picking 2 a, 1 x, and 2 f when five letters picked without replacement from {a: 2, s: 2, f: 3, x: 2}?", "a": "1/21" }, { "q": "Five letters picked without replacement from {m: 4, o: 4}. Give prob of picking 2 m and 3 o.", "a": "3/7" }, { "q": "What is prob of picking 3 d and 2 z when five letters picked without replacement from qdzdzqvdqzzdh?", "a": "8/429" }, { "q": "What is prob of picking 4 r and 1 v when five letters picked without replacement from {v: 1, j: 1, c: 2, y: 3, r: 11}?", "a": "55/1428" }, { "q": "Five letters picked without replacement from ivjpfjvplvjli. Give prob of picking 3 v and 2 p.", "a": "1/1287" }, { "q": "Five letters picked without replacement from rrhrrrrrhhrrrrhrr. What is prob of picking 1 r and 4 h?", "a": "1/476" }, { "q": "Five letters picked without replacement from kkkkkkkddkkklbtlkkkk. Give prob of picking 2 l, 2 d, and 1 b.", "a": "1/15504" }, { "q": "Five letters picked without replacement from {t: 2, a: 10, m: 5}. Give prob of picking 4 m and 1 a.", "a": "25/3094" }, { "q": "What is prob of picking 4 f and 1 p when five letters picked without replacement from {p: 6, f: 4}?", "a": "1/42" }, { "q": "Calculate prob of picking 2 k and 3 o when five letters picked without replacement from ooookokko.", "a": "10/21" }, { "q": "Five letters picked without replacement from {a: 5, y: 2, g: 3, x: 2, n: 3}. What is prob of picking 2 n, 2 y, and 1 a?", "a": "5/1001" }, { "q": "Calculate prob of picking 1 j, 2 t, and 2 a when five letters picked without replacement from ttyyyayytyytyjaayyaa.", "a": "5/1292" }, { "q": "Calculate prob of picking 1 o, 2 l, 1 t, and 1 u when five letters picked without replacement from {p: 5, l: 6, o: 2, u: 1, x: 3, t: 1}.", "a": "5/1428" }, { "q": "Calculate prob of picking 2 l and 3 w when five letters picked without replacement from bwttwtjwjjltlbltjlt.", "a": "1/1938" }, { "q": "Calculate prob of picking 4 u and 1 r when five letters picked without replacement from {r: 8, w: 1, u: 4}.", "a": "8/1287" }, { "q": "What is prob of picking 1 q, 2 a, and 2 b when five letters picked without replacement from qqqqaqabqqqqqba?", "a": "10/1001" }, { "q": "What is prob of picking 3 a and 2 h when five letters picked without replacement from {a: 9, w: 4, p: 1, h: 6}?", "a": "105/1292" }, { "q": "Five letters picked without replacement from {i: 9, w: 6}. Give prob of picking 1 w and 4 i.", "a": "36/143" }, { "q": "What is prob of picking 4 b and 1 r when five letters picked without replacement from {y: 4, t: 2, r: 2, b: 10, x: 1}?", "a": "35/969" }, { "q": "Five letters picked without replacement from ddkddddddddddddd. Give prob of picking 4 d and 1 k.", "a": "5/16" }, { "q": "Calculate prob of picking 4 u and 1 x when five letters picked without replacement from uuxuuxuxxxxxux.", "a": "60/1001" }, { "q": "What is prob of picking 2 s, 2 r, and 1 u when five letters picked without replacement from rjjsrsrusf?", "a": "1/28" }, { "q": "Calculate prob of picking 1 w, 1 v, and 3 b when five letters picked without replacement from pbvpxwbi.", "a": "0" }, { "q": "Five letters picked without replacement from wzzfzrx. Give prob of picking 1 x, 3 z, and 1 w.", "a": "1/21" }, { "q": "Calculate prob of picking 2 x, 1 g, and 2 s when five letters picked without replacement from gxsxnsnxnnxnggxxsgx.", "a": "7/323" }, { "q": "Five letters picked without replacement from yntyaaynyantny. Give prob of picking 2 y and 3 n.", "a": "20/1001" }, { "q": "Five letters picked without replacement from {a: 6, n: 6, j: 6, c: 2}. Give prob of picking 2 n, 2 c, and 1 j.", "a": "15/2584" }, { "q": "Five letters picked without replacement from {q: 6, b: 3}. Give prob of picking 5 q.", "a": "1/21" }, { "q": "Calculate prob of picking 4 c and 1 v when five letters picked without replacement from chcvcnco.", "a": "1/56" }, { "q": "What is prob of picking 1 v, 3 n, and 1 d when five letters picked without replacement from {c: 3, z: 1, u: 4, n: 6, v: 4, d: 2}?", "a": "10/969" }, { "q": "Five letters picked without replacement from zznendnedezzeziznin. Give prob of picking 3 z, 1 d, and 1 e.", "a": "40/2907" }, { "q": "What is prob of picking 2 y, 1 i, 1 r, and 1 f when five letters picked without replacement from ffmyfyyfffyyyyyyfryi?", "a": "105/5168" }, { "q": "Five letters picked without replacement from qqqzqqzqqz. What is prob of picking 5 q?", "a": "1/12" }, { "q": "What is prob of picking 2 x and 3 t when five letters picked without replacement from {x: 3, t: 6}?", "a": "10/21" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from {q: 1, a: 9}.", "a": "1/2" }, { "q": "Five letters picked without replacement from {i: 2, v: 5, o: 1, l: 7, w: 2}. Give prob of picking 2 w, 1 o, and 2 i.", "a": "1/6188" }, { "q": "Five letters picked without replacement from {k: 16, j: 2}. What is prob of picking 1 j and 4 k?", "a": "65/153" }, { "q": "Calculate prob of picking 1 v, 1 k, and 3 e when five letters picked without replacement from epaeeppvfppvpk.", "a": "1/1001" }, { "q": "Five letters picked without replacement from vvddddddvldvdllddld. Give prob of picking 3 l and 2 v.", "a": "2/969" }, { "q": "Five letters picked without replacement from {b: 2, h: 2, j: 8}. What is prob of picking 1 h and 4 j?", "a": "35/198" }, { "q": "Five letters picked without replacement from nnjnnnnunnnnyyyynnyn. Give prob of picking 4 y and 1 j.", "a": "5/15504" }, { "q": "Five letters picked without replacement from ffsmffmdissfsfismff. Give prob of picking 1 s, 3 f, and 1 m.", "a": "70/969" }, { "q": "Five letters picked without replacement from {d: 4, i: 7, n: 2, s: 1}. Give prob of picking 3 i, 1 n, and 1 d.", "a": "20/143" }, { "q": "What is prob of picking 2 g, 1 q, and 2 h when five letters picked without replacement from gghqqhqgqhq?", "a": "15/154" }, { "q": "What is prob of picking 2 h and 3 b when five letters picked without replacement from {h: 3, b: 4}?", "a": "4/7" }, { "q": "Five letters picked without replacement from {u: 1, j: 1, t: 7, e: 1, m: 2, y: 1}. What is prob of picking 2 t, 2 m, and 1 u?", "a": "7/429" }, { "q": "Five letters picked without replacement from {u: 2, f: 2, l: 2, e: 1, z: 4}. What is prob of picking 1 u, 1 z, and 3 l?", "a": "0" }, { "q": "Five letters picked without replacement from xcrrxxrrrcr. What is prob of picking 2 x, 2 r, and 1 c?", "a": "15/77" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {t: 11, v: 5}?", "a": "1/4368" }, { "q": "Calculate prob of picking 2 g and 3 y when five letters picked without replacement from {g: 8, y: 7, h: 4}.", "a": "245/2907" }, { "q": "Calculate prob of picking 1 a, 3 u, and 1 w when five letters picked without replacement from {j: 2, s: 3, w: 7, a: 2, u: 3}.", "a": "1/442" }, { "q": "What is prob of picking 2 c and 3 z when five letters picked without replacement from {n: 2, z: 3, m: 4, c: 2, r: 1}?", "a": "1/792" }, { "q": "Five letters picked without replacement from {u: 4, e: 8, m: 2}. Give prob of picking 2 m, 1 u, and 2 e.", "a": "8/143" }, { "q": "What is prob of picking 2 l and 3 e when five letters picked without replacement from gljamgajegjjeggagj?", "a": "0" }, { "q": "What is prob of picking 3 k, 1 m, and 1 w when five letters picked without replacement from {m: 11, w: 1, k: 3}?", "a": "1/273" }, { "q": "What is prob of picking 1 c, 1 y, and 3 v when five letters picked without replacement from {s: 3, c: 1, h: 1, y: 1, v: 3}?", "a": "1/126" }, { "q": "Five letters picked without replacement from {z: 10, e: 5}. Give prob of picking 5 e.", "a": "1/3003" }, { "q": "Five letters picked without replacement from {p: 10, x: 1, n: 5}. What is prob of picking 1 n and 4 p?", "a": "25/104" }, { "q": "What is prob of picking 1 w, 1 d, 1 k, and 2 q when five letters picked without replacement from wgdgrqqdddddrkrdwrdd?", "a": "3/2584" }, { "q": "What is prob of picking 1 g and 4 v when five letters picked without replacement from veeevvvvegv?", "a": "5/154" }, { "q": "Five letters picked without replacement from ssbsbbbssss. What is prob of picking 2 s and 3 b?", "a": "2/11" }, { "q": "Calculate prob of picking 1 e, 1 l, 1 x, and 2 p when five letters picked without replacement from {x: 2, l: 1, e: 1, p: 2}.", "a": "1/3" }, { "q": "What is prob of picking 2 g, 1 h, and 2 f when five letters picked without replacement from {j: 1, h: 4, u: 1, g: 5, l: 1, f: 8}?", "a": "70/969" }, { "q": "Calculate prob of picking 3 z, 1 v, and 1 q when five letters picked without replacement from zqfqfywvzfzzqzqfzwfw.", "a": "5/969" }, { "q": "Calculate prob of picking 1 k, 1 t, 2 x, and 1 q when five letters picked without replacement from {x: 5, t: 1, k: 1, q: 1}.", "a": "5/28" }, { "q": "Five letters picked without replacement from {h: 6, z: 12}. Give prob of picking 3 z and 2 h.", "a": "275/714" }, { "q": "What is prob of picking 1 s, 1 v, 2 q, and 1 m when five letters picked without replacement from qmmvqvwseqee?", "a": "1/66" }, { "q": "What is prob of picking 3 j and 2 i when five letters picked without replacement from ijjijijii?", "a": "20/63" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from {r: 3, v: 15}.", "a": "143/408" }, { "q": "Calculate prob of picking 3 m, 1 c, and 1 h when five letters picked without replacement from {c: 2, h: 8, m: 5}.", "a": "160/3003" }, { "q": "Five letters picked without replacement from {j: 5, y: 3, q: 9}. Give prob of picking 2 q, 1 j, and 2 y.", "a": "135/1547" }, { "q": "Calculate prob of picking 1 v and 4 g when five letters picked without replacement from {v: 1, g: 5}.", "a": "5/6" }, { "q": "Five letters picked without replacement from {s: 9, d: 2, v: 3}. Give prob of picking 3 s and 2 v.", "a": "18/143" }, { "q": "Five letters picked without replacement from {w: 1, f: 1, b: 1, s: 2, g: 4, k: 3}. What is prob of picking 1 b, 3 k, and 1 f?", "a": "1/792" }, { "q": "Five letters picked without replacement from {f: 3, y: 7, e: 4}. Give prob of picking 1 e, 3 f, and 1 y.", "a": "2/143" }, { "q": "Five letters picked without replacement from {k: 9, e: 3, a: 3, g: 5}. What is prob of picking 1 k, 2 e, and 2 a?", "a": "27/5168" }, { "q": "Calculate prob of picking 3 w and 2 a when five letters picked without replacement from wwaaaaawwaaa.", "a": "14/99" }, { "q": "Five letters picked without replacement from {t: 8, p: 3, x: 4, v: 3}. Give prob of picking 3 p and 2 t.", "a": "1/306" }, { "q": "Calculate prob of picking 2 k and 3 x when five letters picked without replacement from kxxkkkxkkkkkkkk.", "a": "2/91" }, { "q": "Five letters picked without replacement from {b: 8, t: 6}. What is prob of picking 2 t and 3 b?", "a": "60/143" }, { "q": "Five letters picked without replacement from {y: 8, f: 6, j: 3, w: 1}. Give prob of picking 3 f and 2 j.", "a": "5/714" }, { "q": "Calculate prob of picking 1 l and 4 q when five letters picked without replacement from qsqqqqqqsqqqssqsqqlq.", "a": "1001/15504" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from {l: 3, d: 10}.", "a": "28/143" }, { "q": "What is prob of picking 1 f, 2 x, and 2 v when five letters picked without replacement from dyvfddvxvxfydv?", "a": "6/1001" }, { "q": "Five letters picked without replacement from ezeezeezzz. What is prob of picking 2 e and 3 z?", "a": "25/63" }, { "q": "What is prob of picking 2 d and 3 x when five letters picked without replacement from {d: 15, x: 3}?", "a": "5/408" }, { "q": "Five letters picked without replacement from wzggwsggggesgwszwsgz. Give prob of picking 3 s and 2 g.", "a": "7/969" }, { "q": "Five letters picked without replacement from iieeieie. What is prob of picking 4 e and 1 i?", "a": "1/14" }, { "q": "Calculate prob of picking 1 v, 1 d, and 3 k when five letters picked without replacement from vdvkkvkkvvvkkkvkv.", "a": "16/221" }, { "q": "What is prob of picking 1 h, 3 d, and 1 z when five letters picked without replacement from {z: 3, h: 3, d: 12}?", "a": "55/238" }, { "q": "Calculate prob of picking 2 y, 1 o, and 2 w when five letters picked without replacement from {o: 7, y: 2, d: 3, j: 1, w: 4, k: 1}.", "a": "1/204" }, { "q": "Calculate prob of picking 1 s and 4 w when five letters picked without replacement from wsswwiwswswsws.", "a": "15/143" }, { "q": "Five letters picked without replacement from {o: 2, j: 6, v: 2, a: 2}. Give prob of picking 5 j.", "a": "1/132" }, { "q": "Calculate prob of picking 2 s and 3 t when five letters picked without replacement from {z: 2, t: 8, s: 7}.", "a": "42/221" }, { "q": "Five letters picked without replacement from tgggtggtttttt. Give prob of picking 4 g and 1 t.", "a": "40/1287" }, { "q": "Calculate prob of picking 3 o and 2 m when five letters picked without replacement from zzzzomozzzzzzmzzoo.", "a": "1/2142" }, { "q": "Calculate prob of picking 1 s, 3 r, and 1 f when five letters picked without replacement from {s: 4, f: 4, r: 1, e: 1}.", "a": "0" }, { "q": "What is prob of picking 4 a and 1 u when five letters picked without replacement from autwtpapauaaua?", "a": "45/2002" }, { "q": "Calculate prob of picking 2 v and 3 o when five letters picked without replacement from xosopsvsvosxvs.", "a": "3/2002" }, { "q": "What is prob of picking 1 m, 1 n, 2 w, and 1 r when five letters picked without replacement from {z: 1, m: 1, w: 2, n: 1, r: 1}?", "a": "1/6" }, { "q": "Calculate prob of picking 1 l, 1 n, and 3 d when five letters picked without replacement from {z: 4, n: 3, l: 1, s: 1, d: 4}.", "a": "4/429" }, { "q": "Calculate prob of picking 1 k, 1 z, 1 h, 1 i, and 1 a when five letters picked without replacement from {i: 2, h: 1, z: 1, k: 1, a: 6}.", "a": "2/77" }, { "q": "Five letters picked without replacement from xxxfffxf. What is prob of picking 2 x and 3 f?", "a": "3/7" }, { "q": "Five letters picked without replacement from qqqqqqxqq. Give prob of picking 5 q.", "a": "4/9" }, { "q": "Five letters picked without replacement from {v: 4, h: 6}. What is prob of picking 3 v and 2 h?", "a": "5/21" }, { "q": "Five letters picked without replacement from zecxyi. Give prob of picking 1 c, 1 i, 1 x, 1 y, and 1 z.", "a": "1/6" }, { "q": "Calculate prob of picking 3 i and 2 t when five letters picked without replacement from {i: 8, t: 2}.", "a": "2/9" }, { "q": "Five letters picked without replacement from {h: 1, p: 1, r: 4, t: 1}. What is prob of picking 1 t, 1 p, 1 h, and 2 r?", "a": "2/7" }, { "q": "Five letters picked without replacement from {d: 5}. Give prob of picking 5 d.", "a": "1" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from zzzzqzqzzzqz.", "a": "7/44" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from adaddtdaazzdaddz.", "a": "1/4368" }, { "q": "What is prob of picking 3 d, 1 m, and 1 n when five letters picked without replacement from nsshmdndndssddddhdd?", "a": "7/323" }, { "q": "Five letters picked without replacement from fuyyyvxyuyfxxxww. What is prob of picking 2 f, 2 w, and 1 y?", "a": "5/4368" }, { "q": "Five letters picked without replacement from {p: 11, t: 9}. What is prob of picking 4 p and 1 t?", "a": "495/2584" }, { "q": "What is prob of picking 1 t and 4 w when five letters picked without replacement from ttwttwwtwwtw?", "a": "5/44" }, { "q": "Calculate prob of picking 2 d and 3 a when five letters picked without replacement from {d: 3, a: 3, g: 10, i: 3}.", "a": "1/3876" }, { "q": "What is prob of picking 4 y and 1 p when five letters picked without replacement from {y: 8, p: 7}?", "a": "70/429" }, { "q": "What is prob of picking 2 e and 3 w when five letters picked without replacement from {e: 3, w: 13}?", "a": "11/56" }, { "q": "Five letters picked without replacement from {i: 2, m: 2, w: 13}. What is prob of picking 3 w and 2 m?", "a": "11/238" }, { "q": "Five letters picked without replacement from {f: 2, i: 5, b: 3}. What is prob of picking 5 i?", "a": "1/252" }, { "q": "What is prob of picking 1 k, 2 r, 1 z, and 1 g when five letters picked without replacement from kgzrzrkzgkkbbskbkk?", "a": "1/204" }, { "q": "Five letters picked without replacement from {e: 3, c: 5, w: 8, f: 4}. Give prob of picking 1 e, 3 w, and 1 c.", "a": "35/646" }, { "q": "Five letters picked without replacement from {f: 6, p: 6}. What is prob of picking 2 f and 3 p?", "a": "25/66" }, { "q": "Five letters picked without replacement from {y: 6, p: 4}. Give prob of picking 1 p and 4 y.", "a": "5/21" }, { "q": "Calculate prob of picking 1 u and 4 w when five letters picked without replacement from wuuuuuuuwwwwuuu.", "a": "50/3003" }, { "q": "Calculate prob of picking 1 f and 4 y when five letters picked without replacement from {f: 4, u: 3, e: 1, y: 9}.", "a": "18/221" }, { "q": "What is prob of picking 2 a and 3 v when five letters picked without replacement from vaaaaaaaavaaaaaavaa?", "a": "10/969" }, { "q": "Calculate prob of picking 2 v and 3 y when five letters picked without replacement from {y: 3, s: 1, w: 1, h: 2, z: 2, v: 10}.", "a": "5/1292" }, { "q": "Five letters picked without replacement from {p: 1, z: 6, e: 8, j: 2}. What is prob of picking 2 j and 3 z?", "a": "5/1547" }, { "q": "What is prob of picking 1 d and 4 i when five letters picked without replacement from {d: 3, i: 4}?", "a": "1/7" }, { "q": "Calculate prob of picking 1 t, 3 j, and 1 x when five letters picked without replacement from {x: 3, j: 4, t: 1, e: 1}.", "a": "2/21" }, { "q": "What is prob of picking 1 g, 1 a, 1 w, and 2 k when five letters picked without replacement from {a: 1, w: 1, d: 1, k: 2, g: 1}?", "a": "1/6" }, { "q": "Five letters picked without replacement from xxxrxaaaxxpxrxxaxrxx. What is prob of picking 5 x?", "a": "33/646" }, { "q": "Five letters picked without replacement from bbuuubhbbuhb. Give prob of picking 2 h and 3 u.", "a": "1/198" }, { "q": "Five letters picked without replacement from ssvvjqsmsvajsvsa. Give prob of picking 1 v, 1 a, and 3 m.", "a": "0" }, { "q": "Five letters picked without replacement from mddcadmdmddzmmcddac. What is prob of picking 2 a, 1 d, and 2 c?", "a": "2/969" }, { "q": "What is prob of picking 1 b and 4 j when five letters picked without replacement from {b: 1, j: 9}?", "a": "1/2" }, { "q": "Five letters picked without replacement from bbgbbbbgbbbbbbggbb. Give prob of picking 1 g and 4 b.", "a": "143/306" }, { "q": "Five letters picked without replacement from ssjcjsjscssssss. What is prob of picking 4 s and 1 c?", "a": "20/143" }, { "q": "What is prob of picking 1 y, 1 o, and 3 l when five letters picked without replacement from {l: 3, y: 3, o: 1}?", "a": "1/7" }, { "q": "Calculate prob of picking 2 o and 3 r when five letters picked without replacement from ooooorooororooooo.", "a": "1/68" }, { "q": "Five letters picked without replacement from {c: 7, i: 4, t: 5, b: 4}. Give prob of picking 4 i and 1 t.", "a": "5/15504" }, { "q": "What is prob of picking 2 u, 2 g, and 1 x when five letters picked without replacement from uguxuguxugugxuuxggg?", "a": "196/969" }, { "q": "Five letters picked without replacement from llllilii. What is prob of picking 2 i and 3 l?", "a": "15/28" }, { "q": "Calculate prob of picking 2 c and 3 b when five letters picked without replacement from {c: 8, b: 11}.", "a": "385/969" }, { "q": "Five letters picked without replacement from iddiikddikkkkidi. Give prob of picking 4 k and 1 d.", "a": "25/4368" }, { "q": "Five letters picked without replacement from {q: 5, c: 4, i: 2}. Give prob of picking 3 c and 2 q.", "a": "20/231" }, { "q": "Five letters picked without replacement from nznznznznnzzzznnnz. What is prob of picking 2 z and 3 n?", "a": "6/17" }, { "q": "Five letters picked without replacement from jjyyypyypfjj. What is prob of picking 4 j and 1 p?", "a": "1/396" }, { "q": "Five letters picked without replacement from ixxxxxixixxx. Give prob of picking 3 x and 2 i.", "a": "7/22" }, { "q": "Five letters picked without replacement from rrbbpsgbsgsrgbsrp. Give prob of picking 2 b and 3 r.", "a": "6/1547" }, { "q": "What is prob of picking 4 k and 1 n when five letters picked without replacement from {o: 1, k: 7, n: 5, y: 7}?", "a": "175/15504" }, { "q": "Five letters picked without replacement from {r: 2, t: 3, n: 2, a: 6, p: 3, b: 3}. What is prob of picking 1 a, 1 b, 2 n, and 1 r?", "a": "1/323" }, { "q": "Five letters picked without replacement from mmlcmmmmccc. What is prob of picking 1 c and 4 m?", "a": "10/77" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from {d: 6, w: 1, s: 3}.", "a": "1/42" }, { "q": "Five letters picked without replacement from {n: 1, s: 4, w: 1, q: 3, d: 6, b: 4}. What is prob of picking 1 s, 2 b, 1 n, and 1 q?", "a": "2/323" }, { "q": "Five letters picked without replacement from ejvjvvvjeveejejjvj. What is prob of picking 5 v?", "a": "1/1428" }, { "q": "What is prob of picking 2 i and 3 w when five letters picked without replacement from {a: 1, i: 4, r: 2, n: 7, w: 3, m: 3}?", "a": "1/2584" }, { "q": "Five letters picked without replacement from kooeekiekoeekoe. What is prob of picking 2 o and 3 e?", "a": "40/1001" }, { "q": "Five letters picked without replacement from edebbqebbebqbbbbbbbe. Give prob of picking 1 d, 3 b, and 1 e.", "a": "275/3876" }, { "q": "Five letters picked without replacement from {t: 2, l: 3, o: 1, u: 11}. Give prob of picking 2 l, 1 u, and 2 t.", "a": "33/6188" }, { "q": "What is prob of picking 1 n, 1 t, 2 z, and 1 m when five letters picked without replacement from {z: 3, t: 2, c: 2, n: 3, m: 1, f: 4}?", "a": "6/1001" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from mmmmm?", "a": "1" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from xxxxxxqxxxxxxx?", "a": "9/14" }, { "q": "Calculate prob of picking 1 p and 4 j when five letters picked without replacement from {t: 1, a: 4, r: 1, p: 2, j: 12}.", "a": "165/2584" }, { "q": "Five letters picked without replacement from axqnqaxsspaqpapqpaxp. Give prob of picking 1 a, 3 q, and 1 n.", "a": "5/3876" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from ggggyggyggggy?", "a": "28/143" }, { "q": "What is prob of picking 2 z, 1 h, 1 n, and 1 d when five letters picked without replacement from {n: 3, h: 1, z: 4, d: 1, m: 1}?", "a": "1/14" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 7, k: 9}.", "a": "1/208" }, { "q": "Five letters picked without replacement from {o: 7, n: 10}. Give prob of picking 5 n.", "a": "9/221" }, { "q": "Five letters picked without replacement from {w: 9}. What is prob of picking 5 w?", "a": "1" }, { "q": "Five letters picked without replacement from {m: 5, w: 5}. What is prob of picking 1 m and 4 w?", "a": "25/252" }, { "q": "What is prob of picking 1 l, 1 q, and 3 d when five letters picked without replacement from {l: 2, k: 3, w: 4, d: 3, q: 1}?", "a": "2/1287" }, { "q": "Calculate prob of picking 2 j and 3 p when five letters picked without replacement from {p: 9, j: 10}.", "a": "105/323" }, { "q": "Five letters picked without replacement from {r: 11, v: 6}. Give prob of picking 4 r and 1 v.", "a": "495/1547" }, { "q": "Five letters picked without replacement from oooaummmafum. What is prob of picking 1 f, 3 m, and 1 a?", "a": "1/99" }, { "q": "Five letters picked without replacement from urhzuzzhhmrru. Give prob of picking 1 z, 1 m, and 3 r.", "a": "1/429" }, { "q": "Five letters picked without replacement from {p: 8, g: 2}. What is prob of picking 5 p?", "a": "2/9" }, { "q": "Five letters picked without replacement from uuuuuuuu. Give prob of picking 5 u.", "a": "1" }, { "q": "Five letters picked without replacement from {b: 1, y: 5, g: 1, j: 2, h: 5, m: 2}. Give prob of picking 1 j and 4 h.", "a": "5/2184" }, { "q": "Five letters picked without replacement from {s: 7, m: 4, w: 7}. What is prob of picking 2 w and 3 s?", "a": "35/408" }, { "q": "Calculate prob of picking 3 o and 2 f when five letters picked without replacement from ofofoooffofofooof.", "a": "90/221" }, { "q": "Five letters picked without replacement from uxxxuu. What is prob of picking 3 u and 2 x?", "a": "1/2" }, { "q": "Five letters picked without replacement from ccccciificieiii. What is prob of picking 5 i?", "a": "1/143" }, { "q": "Calculate prob of picking 3 f and 2 s when five letters picked without replacement from {f: 6, x: 2, w: 1, h: 6, k: 1, s: 3}.", "a": "5/969" }, { "q": "Five letters picked without replacement from mumvmdkddcv. What is prob of picking 1 v, 1 c, 1 m, 1 k, and 1 d?", "a": "3/77" }, { "q": "What is prob of picking 1 c, 1 z, 1 l, 1 y, and 1 i when five letters picked without replacement from {l: 3, y: 5, z: 2, c: 6, i: 1, h: 2}?", "a": "5/323" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from aaaaaamaam?", "a": "2/9" }, { "q": "What is prob of picking 4 w and 1 h when five letters picked without replacement from {w: 11, b: 1, h: 4}?", "a": "55/182" }, { "q": "What is prob of picking 3 x and 2 s when five letters picked without replacement from sxxxxxxsxxxs?", "a": "7/22" }, { "q": "Five letters picked without replacement from uhnnenzhuh. What is prob of picking 1 z, 1 u, and 3 n?", "a": "1/126" }, { "q": "Five letters picked without replacement from jvjjgjj. What is prob of picking 4 j and 1 v?", "a": "5/21" }, { "q": "Calculate prob of picking 2 h, 1 q, 1 e, and 1 o when five letters picked without replacement from {j: 8, q: 1, o: 1, h: 4, e: 4, f: 1}.", "a": "2/969" }, { "q": "What is prob of picking 1 p and 4 l when five letters picked without replacement from {l: 10, p: 5}?", "a": "50/143" }, { "q": "Five letters picked without replacement from {y: 1, k: 1, c: 1, z: 1, t: 2}. What is prob of picking 2 z and 3 c?", "a": "0" }, { "q": "Five letters picked without replacement from iusaiesueauiiiiie. Give prob of picking 2 e, 1 a, 1 u, and 1 s.", "a": "9/1547" }, { "q": "Five letters picked without replacement from nnssnnhhhhsssn. Give prob of picking 3 n and 2 h.", "a": "30/1001" }, { "q": "Five letters picked without replacement from kmnnnnqppkpmnnpm. What is prob of picking 3 n, 1 q, and 1 m?", "a": "5/364" }, { "q": "What is prob of picking 2 p, 1 r, and 2 h when five letters picked without replacement from {r: 2, p: 5, h: 6, w: 3, g: 1}?", "a": "75/1547" }, { "q": "Calculate prob of picking 1 a, 3 t, and 1 s when five letters picked without replacement from yyttstttszsttat.", "a": "8/143" }, { "q": "What is prob of picking 2 a and 3 t when five letters picked without replacement from tatataataaaaaataaaa?", "a": "455/5814" }, { "q": "What is prob of picking 3 o, 1 v, and 1 k when five letters picked without replacement from hkkhkokvrrokrkkkork?", "a": "1/1292" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from {z: 5, b: 3}.", "a": "1/56" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from rvvvvvvrrr.", "a": "1/42" }, { "q": "Calculate prob of picking 3 f and 2 a when five letters picked without replacement from {e: 2, t: 4, h: 3, y: 1, f: 8, a: 2}.", "a": "7/1938" }, { "q": "Five letters picked without replacement from {u: 2, t: 2, c: 3, y: 13}. What is prob of picking 1 u, 1 c, 2 y, and 1 t?", "a": "39/646" }, { "q": "Five letters picked without replacement from rrrggbbrhrghgh. What is prob of picking 5 r?", "a": "1/2002" }, { "q": "Five letters picked without replacement from {j: 1, n: 2, f: 2, q: 5, l: 3, w: 3}. What is prob of picking 2 n, 1 l, 1 f, and 1 j?", "a": "1/728" }, { "q": "Five letters picked without replacement from fxxxwfgvgxlv. What is prob of picking 1 w, 2 f, and 2 x?", "a": "1/132" }, { "q": "What is prob of picking 1 u, 1 x, 1 c, 1 z, and 1 t when five letters picked without replacement from {c: 2, z: 2, e: 1, t: 3, u: 1, x: 2}?", "a": "4/77" }, { "q": "Five letters picked without replacement from {e: 3, w: 3, x: 5, q: 3}. Give prob of picking 2 e and 3 q.", "a": "3/2002" }, { "q": "What is prob of picking 3 b, 1 s, and 1 g when five letters picked without replacement from gaaggbbabs?", "a": "1/84" }, { "q": "Five letters picked without replacement from utunuhhuhuuuuuxuuu. Give prob of picking 1 u, 3 h, and 1 n.", "a": "1/714" }, { "q": "Five letters picked without replacement from dbbbdbddbbbdbd. Give prob of picking 4 b and 1 d.", "a": "30/143" }, { "q": "Five letters picked without replacement from exeeeeieexeeeeieeez. What is prob of picking 2 x and 3 e?", "a": "91/2907" }, { "q": "What is prob of picking 2 v and 3 g when five letters picked without replacement from vgggvggv?", "a": "15/28" }, { "q": "What is prob of picking 2 u, 1 i, and 2 s when five letters picked without replacement from sssusususiuuuuu?", "a": "20/143" }, { "q": "Five letters picked without replacement from {j: 10, v: 3, f: 4}. What is prob of picking 4 j and 1 f?", "a": "30/221" }, { "q": "What is prob of picking 1 z, 1 h, 2 c, and 1 f when five letters picked without replacement from {c: 2, p: 1, z: 1, f: 2, h: 1}?", "a": "2/21" }, { "q": "Calculate prob of picking 3 k and 2 j when five letters picked without replacement from {j: 5, k: 7}.", "a": "175/396" }, { "q": "Five letters picked without replacement from {i: 4, e: 3, v: 3}. Give prob of picking 1 v and 4 i.", "a": "1/84" }, { "q": "Five letters picked without replacement from gmmggmmgggmgggggg. Give prob of picking 1 m and 4 g.", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {j: 1, q: 2, u: 7, k: 2, l: 4}. Give prob of picking 1 j and 4 u.", "a": "5/624" }, { "q": "What is prob of picking 1 g, 2 m, 1 y, and 1 k when five letters picked without replacement from {m: 2, k: 3, g: 1, y: 12, s: 2}?", "a": "3/1292" }, { "q": "What is prob of picking 1 l and 4 w when five letters picked without replacement from {i: 1, a: 1, w: 1, r: 1, l: 1, f: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from cjjjccjcjccjjccjj. Give prob of picking 5 j.", "a": "9/442" }, { "q": "Five letters picked without replacement from mmmmmammmam. What is prob of picking 1 m and 4 a?", "a": "0" }, { "q": "Five letters picked without replacement from {d: 6, s: 4}. What is prob of picking 3 s and 2 d?", "a": "5/21" }, { "q": "Calculate prob of picking 1 y, 1 d, and 3 x when five letters picked without replacement from dxdxddyx.", "a": "1/14" }, { "q": "Calculate prob of picking 1 e, 1 w, 1 o, 1 h, and 1 x when five letters picked without replacement from {w: 1, o: 1, e: 1, x: 1, h: 6}.", "a": "1/42" }, { "q": "Five letters picked without replacement from {z: 5, a: 3, i: 1, s: 3}. Give prob of picking 1 i, 1 s, 1 a, and 2 z.", "a": "5/44" }, { "q": "Five letters picked without replacement from {z: 7, p: 7, y: 2}. What is prob of picking 1 y and 4 z?", "a": "5/312" }, { "q": "Calculate prob of picking 4 o and 1 r when five letters picked without replacement from oriiioorroiiriooo.", "a": "5/221" }, { "q": "Calculate prob of picking 1 e and 4 v when five letters picked without replacement from eeeeeveveeevveee.", "a": "1/364" }, { "q": "Five letters picked without replacement from {e: 4, a: 10, h: 3}. Give prob of picking 3 h, 1 e, and 1 a.", "a": "10/1547" }, { "q": "What is prob of picking 3 y and 2 a when five letters picked without replacement from {k: 2, y: 5, a: 12, x: 1}?", "a": "55/1292" }, { "q": "Five letters picked without replacement from {e: 2, m: 17}. What is prob of picking 3 e and 2 m?", "a": "0" }, { "q": "Five letters picked without replacement from {j: 4, b: 1, a: 2, c: 2, k: 6, o: 3}. What is prob of picking 1 o, 1 a, 1 j, and 2 k?", "a": "5/119" }, { "q": "Five letters picked without replacement from {x: 1, l: 1, t: 1, i: 1, d: 1, z: 1}. What is prob of picking 1 d, 1 i, and 3 l?", "a": "0" }, { "q": "Five letters picked without replacement from {e: 13, z: 2, q: 5}. What is prob of picking 2 e and 3 q?", "a": "65/1292" }, { "q": "Five letters picked without replacement from wqfffbqqfbffqqfbqoqw. Give prob of picking 1 q, 1 o, and 3 b.", "a": "7/15504" }, { "q": "Five letters picked without replacement from {d: 1, q: 1, m: 3, j: 1, f: 3, e: 3}. What is prob of picking 2 m, 1 f, and 2 e?", "a": "3/88" }, { "q": "Calculate prob of picking 1 o, 2 s, and 2 h when five letters picked without replacement from hgohsgos.", "a": "1/28" }, { "q": "Calculate prob of picking 2 p and 3 i when five letters picked without replacement from ppiiiiipiiiipi.", "a": "360/1001" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from hhuuhhuhuu?", "a": "1/252" }, { "q": "Calculate prob of picking 3 d and 2 v when five letters picked without replacement from vvdvddddvddvddv.", "a": "60/143" }, { "q": "Calculate prob of picking 1 g and 4 n when five letters picked without replacement from {n: 6, g: 11}.", "a": "165/6188" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from brrrrrbbrrrrrbbrrrr?", "a": "1/11628" }, { "q": "What is prob of picking 4 b and 1 n when five letters picked without replacement from {l: 2, z: 2, b: 1, r: 1, n: 2, a: 1}?", "a": "0" }, { "q": "What is prob of picking 2 g and 3 s when five letters picked without replacement from {d: 5, s: 3, g: 2, u: 1}?", "a": "1/462" }, { "q": "Five letters picked without replacement from hhzhhhhzzhzzhh. Give prob of picking 3 z and 2 h.", "a": "180/1001" }, { "q": "Five letters picked without replacement from jjjbjibibjjjjbyby. Give prob of picking 3 j and 2 i.", "a": "2/221" }, { "q": "Five letters picked without replacement from {d: 12, b: 8}. What is prob of picking 5 d?", "a": "33/646" }, { "q": "What is prob of picking 4 w and 1 g when five letters picked without replacement from gggzgwzgggwggwwgggg?", "a": "13/11628" }, { "q": "Five letters picked without replacement from {x: 3, i: 1, n: 3, m: 1, p: 4}. Give prob of picking 4 p and 1 x.", "a": "1/264" }, { "q": "Five letters picked without replacement from vjmvvvjvjjvvjrr. What is prob of picking 3 j, 1 r, and 1 m?", "a": "20/3003" }, { "q": "Five letters picked without replacement from vvvvvvvvv. What is prob of picking 5 v?", "a": "1" }, { "q": "Calculate prob of picking 1 r, 1 o, and 3 j when five letters picked without replacement from {z: 2, r: 4, j: 5, o: 3}.", "a": "60/1001" }, { "q": "Five letters picked without replacement from {f: 1, b: 2, u: 7, v: 6}. Give prob of picking 2 b and 3 u.", "a": "5/624" }, { "q": "Five letters picked without replacement from {c: 2, d: 4, l: 1}. What is prob of picking 5 d?", "a": "0" }, { "q": "Calculate prob of picking 2 x, 1 g, and 2 e when five letters picked without replacement from jjjeexjxeejxeegeegex.", "a": "9/323" }, { "q": "Five letters picked without replacement from {w: 1, l: 4, k: 6, m: 9}. Give prob of picking 2 l and 3 m.", "a": "21/646" }, { "q": "Five letters picked without replacement from {t: 9, u: 11}. What is prob of picking 3 t and 2 u?", "a": "385/1292" }, { "q": "What is prob of picking 2 x and 3 s when five letters picked without replacement from {s: 3, k: 1, w: 1, d: 8, x: 4}?", "a": "3/3094" }, { "q": "Five letters picked without replacement from rrjrjmjrjrrrrrmrrr. What is prob of picking 2 r, 1 j, and 2 m?", "a": "11/357" }, { "q": "Five letters picked without replacement from btbbtbbtbtbtbbbtbbt. What is prob of picking 5 t?", "a": "7/3876" }, { "q": "What is prob of picking 2 u and 3 c when five letters picked without replacement from {c: 3, g: 1, z: 3, y: 1, i: 2, u: 2}?", "a": "1/792" }, { "q": "What is prob of picking 2 b and 3 o when five letters picked without replacement from uonnhbobbooooo?", "a": "15/286" }, { "q": "Five letters picked without replacement from zwijwiixwiixwwixiw. Give prob of picking 5 i.", "a": "1/408" }, { "q": "What is prob of picking 4 m and 1 b when five letters picked without replacement from mlmmmlmlmmmbm?", "a": "14/143" }, { "q": "Five letters picked without replacement from {f: 3, q: 1, h: 1, b: 4, a: 3, n: 3}. Give prob of picking 1 a, 1 h, 1 q, and 2 f.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {z: 1, e: 5, u: 8, g: 1}. What is prob of picking 1 e, 1 z, and 3 u?", "a": "40/429" }, { "q": "Five letters picked without replacement from {d: 5, n: 1}. What is prob of picking 4 d and 1 n?", "a": "5/6" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from eeeyeyyyyeeeeey.", "a": "6/143" }, { "q": "Five letters picked without replacement from {a: 7, e: 3, r: 2, d: 2}. What is prob of picking 2 e, 1 d, and 2 a?", "a": "9/143" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from aaaaaaaaaa?", "a": "1" }, { "q": "What is prob of picking 2 l, 1 y, and 2 f when five letters picked without replacement from {m: 2, l: 3, y: 2, f: 3, a: 1}?", "a": "3/77" }, { "q": "Calculate prob of picking 2 j and 3 d when five letters picked without replacement from jddddjdddddddddddd.", "a": "10/153" }, { "q": "Five letters picked without replacement from ubebbceb. Give prob of picking 1 u, 1 c, 2 b, and 1 e.", "a": "3/14" }, { "q": "Five letters picked without replacement from {r: 2, y: 10, b: 8}. What is prob of picking 3 y, 1 r, and 1 b?", "a": "40/323" }, { "q": "Calculate prob of picking 1 g, 3 w, and 1 f when five letters picked without replacement from {w: 3, x: 4, t: 5, s: 1, g: 3, f: 4}.", "a": "1/1292" }, { "q": "Five letters picked without replacement from rhriihkrrrrkrh. Give prob of picking 3 r and 2 k.", "a": "5/286" }, { "q": "Five letters picked without replacement from {x: 5, w: 5}. Give prob of picking 5 x.", "a": "1/252" }, { "q": "Calculate prob of picking 3 x and 2 h when five letters picked without replacement from {h: 6, c: 9, x: 3}.", "a": "5/2856" }, { "q": "Calculate prob of picking 4 c and 1 h when five letters picked without replacement from hchchhcccchccchcchch.", "a": "165/646" }, { "q": "Five letters picked without replacement from {g: 1, w: 10}. Give prob of picking 5 w.", "a": "6/11" }, { "q": "Five letters picked without replacement from iibisivbbbsji. What is prob of picking 1 v and 4 b?", "a": "1/1287" }, { "q": "Five letters picked without replacement from {a: 4, u: 9}. Give prob of picking 4 a and 1 u.", "a": "1/143" }, { "q": "Five letters picked without replacement from shhsshhhhsshhshh. Give prob of picking 5 h.", "a": "3/52" }, { "q": "Five letters picked without replacement from uueeuuueuuuueeueeuue. Give prob of picking 1 e and 4 u.", "a": "165/646" }, { "q": "Five letters picked without replacement from lxxlxlxxxrxvlxxxrvxr. Give prob of picking 4 x and 1 r.", "a": "165/2584" }, { "q": "Calculate prob of picking 1 o and 4 l when five letters picked without replacement from {l: 10, o: 8}.", "a": "10/51" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {s: 5, j: 6}.", "a": "1/462" }, { "q": "Five letters picked without replacement from whwihhrwrrih. Give prob of picking 1 h, 3 w, and 1 r.", "a": "1/66" }, { "q": "Calculate prob of picking 2 a, 2 h, and 1 v when five letters picked without replacement from {a: 2, o: 1, i: 3, d: 6, h: 3, v: 1}.", "a": "1/1456" }, { "q": "What is prob of picking 1 v, 2 n, and 2 f when five letters picked without replacement from {f: 2, n: 5, v: 5, b: 4, h: 1}?", "a": "25/3094" }, { "q": "Five letters picked without replacement from yydyyyddedyyyyde. What is prob of picking 2 d, 1 e, and 2 y?", "a": "15/91" }, { "q": "Five letters picked without replacement from rrwwwwrwrwwrrrmw. Give prob of picking 1 r and 4 w.", "a": "35/312" }, { "q": "Five letters picked without replacement from yiimddimigimbii. Give prob of picking 1 i, 1 y, and 3 g.", "a": "0" }, { "q": "Five letters picked without replacement from uuuuuuuuuunnnuuuggun. What is prob of picking 2 u, 1 n, and 2 g?", "a": "91/3876" }, { "q": "Five letters picked without replacement from {d: 2, m: 5, f: 12}. Give prob of picking 5 m.", "a": "1/11628" }, { "q": "Five letters picked without replacement from xdxgxawxddaagdaxnadd. Give prob of picking 2 x, 1 g, 1 n, and 1 d.", "a": "5/646" }, { "q": "Calculate prob of picking 2 t, 2 m, and 1 b when five letters picked without replacement from {m: 4, l: 3, a: 2, b: 4, d: 2, t: 2}.", "a": "6/1547" }, { "q": "Five letters picked without replacement from lyttttggtyytgtgy. Give prob of picking 1 y and 4 t.", "a": "5/156" }, { "q": "What is prob of picking 1 w, 1 b, and 3 c when five letters picked without replacement from bcccwbbbbbbbbb?", "a": "5/1001" }, { "q": "Five letters picked without replacement from wqwwssusswsquvqusus. Give prob of picking 3 s, 1 w, and 1 q.", "a": "35/969" }, { "q": "Five letters picked without replacement from hhhhhhhhh. Give prob of picking 5 h.", "a": "1" }, { "q": "What is prob of picking 2 n, 1 z, and 2 f when five letters picked without replacement from ffwwfcwnczzmzmwffncm?", "a": "5/2584" }, { "q": "Calculate prob of picking 3 c and 2 b when five letters picked without replacement from {b: 6, c: 11}.", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {w: 5, f: 5, g: 4}. What is prob of picking 1 g, 3 f, and 1 w?", "a": "100/1001" }, { "q": "Five letters picked without replacement from wojjjavoowjajwjj. What is prob of picking 1 v, 1 j, 2 a, and 1 o?", "a": "1/208" }, { "q": "Five letters picked without replacement from {o: 1, j: 2, p: 2, e: 3, k: 8}. What is prob of picking 1 p, 3 e, and 1 o?", "a": "1/2184" }, { "q": "Five letters picked without replacement from gjlljjjjjjjjgjjlj. What is prob of picking 2 l, 1 g, and 2 j?", "a": "99/1547" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from {a: 16, x: 1}.", "a": "12/17" }, { "q": "What is prob of picking 3 p and 2 r when five letters picked without replacement from yrpxxpyxrpx?", "a": "1/462" }, { "q": "What is prob of picking 1 x, 1 k, 1 e, and 2 v when five letters picked without replacement from vvexvexkek?", "a": "1/7" }, { "q": "Five letters picked without replacement from beieiiiibiiiiie. Give prob of picking 3 e and 2 b.", "a": "1/3003" }, { "q": "Five letters picked without replacement from {b: 1, f: 2, l: 5, v: 2, a: 2}. Give prob of picking 1 l, 2 a, and 2 v.", "a": "5/792" }, { "q": "What is prob of picking 1 i, 2 o, and 2 x when five letters picked without replacement from {r: 3, o: 2, q: 3, i: 2, x: 2}?", "a": "1/396" }, { "q": "Five letters picked without replacement from {b: 8, j: 4, n: 3, u: 3, k: 1}. What is prob of picking 1 j, 1 u, and 3 n?", "a": "1/969" }, { "q": "Five letters picked without replacement from aabasbbbssaa. What is prob of picking 3 b and 2 s?", "a": "1/66" }, { "q": "What is prob of picking 3 g and 2 s when five letters picked without replacement from {v: 3, s: 2, g: 3}?", "a": "1/56" }, { "q": "Five letters picked without replacement from {x: 5, w: 3, f: 1, g: 3, j: 5}. What is prob of picking 1 f, 3 x, and 1 j?", "a": "25/3094" }, { "q": "Five letters picked without replacement from {u: 14, y: 5}. Give prob of picking 4 u and 1 y.", "a": "5005/11628" }, { "q": "Five letters picked without replacement from aiimasrmsmiiimiis. Give prob of picking 1 s, 2 m, and 2 a.", "a": "9/3094" }, { "q": "What is prob of picking 1 e, 2 v, 1 i, and 1 l when five letters picked without replacement from {i: 1, e: 2, v: 4, h: 3, l: 6}?", "a": "3/182" }, { "q": "Calculate prob of picking 1 v, 2 z, 1 d, and 1 l when five letters picked without replacement from eeeelezlleedzev.", "a": "1/1001" }, { "q": "Five letters picked without replacement from raffafuffauf. Give prob of picking 1 u and 4 f.", "a": "5/132" }, { "q": "Calculate prob of picking 3 k, 1 x, and 1 d when five letters picked without replacement from xxddxkkxxxxxkkxx.", "a": "5/273" }, { "q": "Calculate prob of picking 1 j, 2 k, and 2 t when five letters picked without replacement from {j: 2, t: 3, y: 2, m: 1, k: 4, l: 7}.", "a": "1/323" }, { "q": "Five letters picked without replacement from krkvvkvlvkvo. What is prob of picking 1 r, 3 k, and 1 o?", "a": "1/198" }, { "q": "What is prob of picking 1 i and 4 o when five letters picked without replacement from ooolfoiloooooi?", "a": "18/143" }, { "q": "Five letters picked without replacement from {b: 1, e: 3, r: 2, g: 6}. Give prob of picking 2 e, 1 r, and 2 g.", "a": "5/44" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from {y: 1, d: 1, x: 1, l: 1, v: 7, w: 1}.", "a": "7/264" }, { "q": "Calculate prob of picking 4 d and 1 g when five letters picked without replacement from dhdhgddgg.", "a": "1/42" }, { "q": "Calculate prob of picking 2 s and 3 l when five letters picked without replacement from {s: 4, l: 3, y: 3, t: 1, m: 1}.", "a": "1/132" }, { "q": "Five letters picked without replacement from {q: 4, t: 5}. Give prob of picking 5 t.", "a": "1/126" }, { "q": "Five letters picked without replacement from pudpvdpdvd. What is prob of picking 1 v, 1 d, and 3 p?", "a": "2/63" }, { "q": "Calculate prob of picking 4 m and 1 b when five letters picked without replacement from kbmbkgkmggmgkmk.", "a": "2/3003" }, { "q": "Calculate prob of picking 3 k and 2 t when five letters picked without replacement from {t: 8, k: 7}.", "a": "140/429" }, { "q": "What is prob of picking 3 p, 1 e, and 1 i when five letters picked without replacement from {g: 2, e: 1, i: 5, j: 1, p: 3, d: 1}?", "a": "5/1287" }, { "q": "Five letters picked without replacement from wwwwwwwww. What is prob of picking 5 w?", "a": "1" }, { "q": "Five letters picked without replacement from {v: 3, t: 2, w: 3, p: 4, e: 1}. Give prob of picking 2 w and 3 p.", "a": "4/429" }, { "q": "Calculate prob of picking 1 j, 1 t, and 3 a when five letters picked without replacement from {j: 3, t: 5, a: 6}.", "a": "150/1001" }, { "q": "What is prob of picking 2 v, 2 m, and 1 p when five letters picked without replacement from ppppmvpv?", "a": "0" }, { "q": "Five letters picked without replacement from lzlzhlrlhlzllhllllr. Give prob of picking 1 h, 3 z, and 1 r.", "a": "1/1938" }, { "q": "Five letters picked without replacement from {d: 9, v: 8}. What is prob of picking 4 v and 1 d?", "a": "45/442" }, { "q": "Five letters picked without replacement from clmmmmclm. What is prob of picking 3 m and 2 l?", "a": "5/63" }, { "q": "Five letters picked without replacement from {e: 2, d: 3, q: 7, g: 4, j: 1, u: 1}. Give prob of picking 1 u, 2 g, 1 q, and 1 j.", "a": "1/204" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {u: 1, h: 3, n: 6}.", "a": "1/42" }, { "q": "What is prob of picking 2 u, 1 i, 1 x, and 1 p when five letters picked without replacement from puiplulupxiiixu?", "a": "48/1001" }, { "q": "What is prob of picking 1 f, 1 l, 1 x, and 2 r when five letters picked without replacement from {v: 5, r: 3, l: 3, f: 5, x: 1}?", "a": "45/6188" }, { "q": "Five letters picked without replacement from {m: 2, g: 1, o: 2, h: 2, z: 8}. What is prob of picking 1 m, 1 o, 2 z, and 1 h?", "a": "32/429" }, { "q": "Five letters picked without replacement from {u: 10, k: 1, a: 4}. Give prob of picking 1 k, 2 a, and 2 u.", "a": "90/1001" }, { "q": "Five letters picked without replacement from owaoikiokipkk. Give prob of picking 3 o, 1 k, and 1 i.", "a": "4/429" }, { "q": "Five letters picked without replacement from {y: 7, d: 6, c: 1, o: 3}. Give prob of picking 2 d and 3 o.", "a": "15/6188" }, { "q": "Calculate prob of picking 1 x, 2 l, and 2 v when five letters picked without replacement from xvtlvltvlvl.", "a": "6/77" }, { "q": "What is prob of picking 4 j and 1 t when five letters picked without replacement from {j: 1, v: 4, q: 2, x: 2, t: 1, b: 1}?", "a": "0" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from {v: 3, k: 2, h: 1, t: 1, s: 1, p: 5}?", "a": "0" }, { "q": "Calculate prob of picking 1 g and 4 p when five letters picked without replacement from pppgpggpppggppppp.", "a": "2475/6188" }, { "q": "What is prob of picking 2 i, 1 k, 1 w, and 1 e when five letters picked without replacement from kiiikkeiieiiwiwikeee?", "a": "30/323" }, { "q": "Calculate prob of picking 2 y, 2 c, and 1 k when five letters picked without replacement from {y: 2, c: 11, q: 2, k: 1}.", "a": "55/4368" }, { "q": "Five letters picked without replacement from {p: 2, r: 2, n: 9, i: 1, l: 2}. Give prob of picking 1 r, 3 n, and 1 p.", "a": "1/13" }, { "q": "Five letters picked without replacement from xxegfgfxxfege. Give prob of picking 1 g, 3 f, and 1 e.", "a": "1/143" }, { "q": "Five letters picked without replacement from mzmbmkk. What is prob of picking 2 k, 2 m, and 1 b?", "a": "1/7" }, { "q": "Calculate prob of picking 3 r and 2 a when five letters picked without replacement from {r: 3, f: 5, h: 3, a: 3}.", "a": "3/2002" }, { "q": "Five letters picked without replacement from vzzzazzayvz. What is prob of picking 1 y, 1 a, and 3 z?", "a": "20/231" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from knnnkknkknnnnknnnkn?", "a": "7/3876" }, { "q": "Five letters picked without replacement from enzbppo. What is prob of picking 1 n, 2 p, 1 b, and 1 z?", "a": "1/21" }, { "q": "Calculate prob of picking 1 t, 1 v, and 3 e when five letters picked without replacement from {t: 1, v: 6, e: 10}.", "a": "180/1547" }, { "q": "What is prob of picking 2 n, 1 h, and 2 q when five letters picked without replacement from {h: 6, n: 12, q: 2}?", "a": "33/1292" }, { "q": "What is prob of picking 3 j and 2 f when five letters picked without replacement from fjfjfjfffjfjj?", "a": "140/429" }, { "q": "What is prob of picking 1 l, 3 y, and 1 x when five letters picked without replacement from {l: 1, x: 1, y: 8}?", "a": "2/9" }, { "q": "Five letters picked without replacement from tuyuyuyuuysfut. Give prob of picking 1 f, 1 y, 1 u, 1 t, and 1 s.", "a": "24/1001" }, { "q": "Five letters picked without replacement from {o: 1, j: 1, h: 3, f: 13}. What is prob of picking 5 f?", "a": "143/952" }, { "q": "Five letters picked without replacement from {x: 1, i: 6, d: 3, a: 2, n: 1, j: 1}. What is prob of picking 1 n, 1 x, and 3 i?", "a": "10/1001" }, { "q": "Calculate prob of picking 1 i, 2 l, and 2 r when five letters picked without replacement from {w: 3, i: 1, n: 5, d: 3, l: 2, r: 3}.", "a": "3/6188" }, { "q": "What is prob of picking 3 c and 2 a when five letters picked without replacement from {a: 4, c: 3}?", "a": "2/7" }, { "q": "What is prob of picking 4 v and 1 g when five letters picked without replacement from {m: 9, v: 5, g: 6}?", "a": "5/2584" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {f: 2, t: 6, m: 5, y: 1}?", "a": "1/2002" }, { "q": "Calculate prob of picking 2 m, 1 o, 1 t, and 1 f when five letters picked without replacement from {l: 1, o: 1, v: 2, m: 4, f: 2, t: 6}.", "a": "3/182" }, { "q": "Five letters picked without replacement from bzfzbzzzzzzzzzfzzz. Give prob of picking 5 z.", "a": "143/612" }, { "q": "Five letters picked without replacement from {a: 4, p: 10}. Give prob of picking 4 a and 1 p.", "a": "5/1001" }, { "q": "What is prob of picking 4 o and 1 u when five letters picked without replacement from ooouooooouooooooooo?", "a": "70/171" }, { "q": "Five letters picked without replacement from {l: 4, f: 1, g: 3, i: 2, o: 1, u: 9}. Give prob of picking 2 l, 1 u, and 2 g.", "a": "27/2584" }, { "q": "Five letters picked without replacement from {w: 4, k: 2, j: 3, c: 8}. What is prob of picking 2 j, 1 k, and 2 c?", "a": "6/221" }, { "q": "Calculate prob of picking 1 u, 3 a, and 1 v when five letters picked without replacement from {j: 4, v: 1, a: 5, u: 5}.", "a": "50/3003" }, { "q": "Five letters picked without replacement from {s: 2, j: 2, x: 5}. What is prob of picking 1 s, 2 x, and 2 j?", "a": "10/63" }, { "q": "What is prob of picking 1 w, 3 i, and 1 s when five letters picked without replacement from {q: 3, w: 1, i: 4, j: 1, s: 4}?", "a": "16/1287" }, { "q": "Five letters picked without replacement from {v: 1, x: 4, h: 2, p: 3, q: 6, z: 3}. Give prob of picking 1 v, 1 p, 2 x, and 1 q.", "a": "3/323" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {w: 9, p: 1, h: 4, b: 2, y: 3}.", "a": "7/646" }, { "q": "Five letters picked without replacement from knnkknknnk. Give prob of picking 4 n and 1 k.", "a": "25/252" }, { "q": "Calculate prob of picking 1 d and 4 j when five letters picked without replacement from jjjdjdddjjjjjjjj.", "a": "165/364" }, { "q": "Calculate prob of picking 2 c and 3 o when five letters picked without replacement from {y: 3, c: 3, o: 10}.", "a": "15/182" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from yayyayyaaayayya.", "a": "1/143" }, { "q": "What is prob of picking 1 j, 1 v, 1 k, and 2 d when five letters picked without replacement from {j: 1, k: 6, q: 3, v: 1, d: 8}?", "a": "14/969" }, { "q": "What is prob of picking 1 r and 4 z when five letters picked without replacement from {z: 5, q: 7, r: 4}?", "a": "5/1092" }, { "q": "What is prob of picking 3 u and 2 y when five letters picked without replacement from ytuuuuuuuuyumuttt?", "a": "30/1547" }, { "q": "Five letters picked without replacement from ddcdcdccccccdcdcc. What is prob of picking 5 c?", "a": "33/442" }, { "q": "Calculate prob of picking 4 k and 1 q when five letters picked without replacement from {q: 2, k: 9}.", "a": "6/11" }, { "q": "Five letters picked without replacement from {b: 11, y: 1, a: 5}. What is prob of picking 2 a and 3 b?", "a": "825/3094" }, { "q": "Calculate prob of picking 2 f, 1 t, and 2 x when five letters picked without replacement from {x: 2, f: 2, v: 1, t: 2}.", "a": "2/21" }, { "q": "Five letters picked without replacement from cqryyyeqqtycyyq. What is prob of picking 2 q, 1 e, and 2 c?", "a": "2/1001" }, { "q": "Five letters picked without replacement from {i: 6, c: 4, a: 4}. What is prob of picking 2 a and 3 c?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {p: 1, j: 7, s: 11}. What is prob of picking 4 j and 1 s?", "a": "385/11628" }, { "q": "Five letters picked without replacement from {t: 1, g: 4, d: 4, x: 4}. What is prob of picking 4 d and 1 t?", "a": "1/1287" }, { "q": "Five letters picked without replacement from {z: 5, y: 6}. What is prob of picking 2 z and 3 y?", "a": "100/231" }, { "q": "Five letters picked without replacement from uveeoyyveiuiieeu. What is prob of picking 2 v, 1 o, 1 y, and 1 e?", "a": "5/2184" }, { "q": "Calculate prob of picking 2 x and 3 h when five letters picked without replacement from {s: 6, z: 2, l: 2, t: 2, h: 3, x: 5}.", "a": "5/7752" }, { "q": "Calculate prob of picking 2 w, 1 m, and 2 l when five letters picked without replacement from wmmwllwmmmmmmllmmmm.", "a": "6/323" }, { "q": "Five letters picked without replacement from {d: 5, g: 3, p: 2, f: 2, t: 5, k: 1}. What is prob of picking 2 f, 2 d, and 1 g?", "a": "5/1428" }, { "q": "What is prob of picking 1 t and 4 x when five letters picked without replacement from {s: 2, t: 2, x: 5}?", "a": "5/63" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sssvvvvvcvssssvsvvss?", "a": "21/1292" }, { "q": "Five letters picked without replacement from {k: 3, d: 3, x: 8, e: 3}. What is prob of picking 2 d, 1 e, and 2 x?", "a": "9/221" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {a: 6, i: 11}?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {x: 1, a: 17}. Give prob of picking 5 a.", "a": "13/18" }, { "q": "Calculate prob of picking 1 g, 1 j, and 3 z when five letters picked without replacement from {g: 1, r: 2, z: 3, m: 2, j: 1, c: 4}.", "a": "1/1287" }, { "q": "What is prob of picking 1 s, 2 k, and 2 w when five letters picked without replacement from {s: 7, w: 1, k: 8}?", "a": "0" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 8}.", "a": "1" }, { "q": "Five letters picked without replacement from gqegqqjgqgqejdedeqdg. Give prob of picking 1 d and 4 g.", "a": "5/5168" }, { "q": "What is prob of picking 1 z, 2 j, and 2 t when five letters picked without replacement from {t: 6, j: 4, z: 3, v: 6, d: 1}?", "a": "45/2584" }, { "q": "Five letters picked without replacement from {u: 1, o: 3, v: 3, g: 7}. What is prob of picking 1 u, 3 v, and 1 g?", "a": "1/286" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from {i: 5, b: 6}.", "a": "1/77" }, { "q": "Five letters picked without replacement from wzzwwwwwzwwzwwzwwwww. Give prob of picking 1 w and 4 z.", "a": "25/5168" }, { "q": "Calculate prob of picking 1 k and 4 c when five letters picked without replacement from {c: 5, k: 2}.", "a": "10/21" }, { "q": "What is prob of picking 2 b and 3 u when five letters picked without replacement from {u: 14, b: 3}?", "a": "3/17" }, { "q": "Calculate prob of picking 2 t and 3 k when five letters picked without replacement from {d: 1, t: 3, k: 16}.", "a": "35/323" }, { "q": "Five letters picked without replacement from iimmiii. What is prob of picking 5 i?", "a": "1/21" }, { "q": "Five letters picked without replacement from {a: 8, w: 12}. What is prob of picking 5 a?", "a": "7/1938" }, { "q": "What is prob of picking 3 p and 2 l when five letters picked without replacement from {p: 10, l: 9}?", "a": "120/323" }, { "q": "What is prob of picking 2 h, 1 g, and 2 u when five letters picked without replacement from ypymuhygummymhu?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {s: 4, r: 1, g: 3, h: 3}. What is prob of picking 3 g and 2 h?", "a": "1/154" }, { "q": "What is prob of picking 1 b, 1 k, 2 h, and 1 n when five letters picked without replacement from bnhhkhw?", "a": "1/7" }, { "q": "Calculate prob of picking 2 n, 1 v, and 2 u when five letters picked without replacement from ukrrvnruuukurnvvr.", "a": "15/3094" }, { "q": "Five letters picked without replacement from kkuuukuuukuku. Give prob of picking 1 u and 4 k.", "a": "40/1287" }, { "q": "Calculate prob of picking 2 u, 1 y, and 2 q when five letters picked without replacement from {j: 1, q: 2, g: 1, y: 1, u: 2}.", "a": "1/21" }, { "q": "Five letters picked without replacement from {x: 4, d: 7}. What is prob of picking 2 d and 3 x?", "a": "2/11" }, { "q": "What is prob of picking 2 u, 2 g, and 1 n when five letters picked without replacement from {n: 1, g: 6, u: 3, x: 2}?", "a": "5/88" }, { "q": "Five letters picked without replacement from {f: 11, j: 5, v: 1}. Give prob of picking 4 j and 1 v.", "a": "5/6188" }, { "q": "Calculate prob of picking 1 g, 1 n, and 3 s when five letters picked without replacement from gsssnsgsnsnsngggn.", "a": "125/884" }, { "q": "Calculate prob of picking 4 j and 1 a when five letters picked without replacement from {s: 5, a: 1, e: 1, j: 1, i: 4, k: 1}.", "a": "0" }, { "q": "What is prob of picking 2 f, 2 z, and 1 o when five letters picked without replacement from {f: 4, z: 2, o: 6}?", "a": "1/22" }, { "q": "Five letters picked without replacement from rrraurjuujrjr. What is prob of picking 1 a, 1 r, and 3 j?", "a": "2/429" }, { "q": "What is prob of picking 1 n, 1 t, 2 r, and 1 u when five letters picked without replacement from {t: 2, u: 3, v: 5, r: 2, n: 2}?", "a": "6/1001" }, { "q": "What is prob of picking 1 p and 4 b when five letters picked without replacement from bbpbppzebbeppzpzzb?", "a": "5/476" }, { "q": "What is prob of picking 2 m, 2 y, and 1 s when five letters picked without replacement from {s: 1, m: 13, y: 4}?", "a": "13/238" }, { "q": "Calculate prob of picking 2 x and 3 l when five letters picked without replacement from olhrlkxllxllhl.", "a": "5/286" }, { "q": "Calculate prob of picking 3 t, 1 y, and 1 d when five letters picked without replacement from eetttttetdyye.", "a": "40/1287" }, { "q": "Five letters picked without replacement from vlwummlvyvu. What is prob of picking 1 w, 1 m, 1 y, and 2 l?", "a": "1/231" }, { "q": "Five letters picked without replacement from eshrsyehsvvyssssrsv. Give prob of picking 2 v, 2 e, and 1 s.", "a": "2/969" }, { "q": "What is prob of picking 1 d, 1 r, 1 x, 1 l, and 1 w when five letters picked without replacement from lwdmrxxxdlxllwwxxl?", "a": "5/238" }, { "q": "Five letters picked without replacement from {e: 5, g: 1}. What is prob of picking 5 e?", "a": "1/6" }, { "q": "Five letters picked without replacement from {l: 5, k: 1, t: 2}. Give prob of picking 2 t and 3 l.", "a": "5/28" }, { "q": "Five letters picked without replacement from kzzkkkgkgzkzggz. What is prob of picking 5 k?", "a": "2/1001" }, { "q": "Five letters picked without replacement from kkdkkkkdkdkkkk. Give prob of picking 1 d and 4 k.", "a": "45/91" }, { "q": "Five letters picked without replacement from kyyyrylkyyyyyyrykkly. Give prob of picking 1 r, 2 l, and 2 y.", "a": "11/1292" }, { "q": "Calculate prob of picking 1 m, 1 n, and 3 k when five letters picked without replacement from {n: 1, m: 2, k: 12}.", "a": "40/273" }, { "q": "Five letters picked without replacement from {q: 1, i: 1, h: 3, n: 2}. What is prob of picking 1 i, 1 q, 1 h, and 2 n?", "a": "1/7" }, { "q": "Five letters picked without replacement from pdpppdpdddppp. Give prob of picking 5 d.", "a": "1/1287" }, { "q": "Calculate prob of picking 4 x and 1 f when five letters picked without replacement from {x: 9, f: 5}.", "a": "45/143" }, { "q": "What is prob of picking 2 g, 2 o, and 1 y when five letters picked without replacement from ggogyohyyyg?", "a": "4/77" }, { "q": "Five letters picked without replacement from zpppzpzzzppzpzzzzpz. What is prob of picking 5 z?", "a": "77/1938" }, { "q": "What is prob of picking 1 i, 2 x, and 2 w when five letters picked without replacement from xvrfwffixiwwrwxwwfw?", "a": "7/646" }, { "q": "Five letters picked without replacement from {j: 2, t: 4, f: 3}. Give prob of picking 3 t and 2 f.", "a": "2/21" }, { "q": "What is prob of picking 1 v and 4 x when five letters picked without replacement from vxvvvxxxvvvv?", "a": "1/99" }, { "q": "What is prob of picking 4 v and 1 a when five letters picked without replacement from {v: 3, j: 1, a: 7}?", "a": "0" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from zzczczccccccccczccc?", "a": "1/11628" }, { "q": "What is prob of picking 4 x and 1 h when five letters picked without replacement from {h: 15, x: 5}?", "a": "25/5168" }, { "q": "Five letters picked without replacement from {g: 8, v: 10, p: 2}. Give prob of picking 2 g and 3 v.", "a": "70/323" }, { "q": "Calculate prob of picking 3 b and 2 f when five letters picked without replacement from {f: 5, b: 6, a: 3, c: 4, k: 1, g: 1}.", "a": "25/1938" }, { "q": "Five letters picked without replacement from ympgjyt. What is prob of picking 1 p, 1 m, and 3 y?", "a": "0" }, { "q": "What is prob of picking 2 y, 1 g, 1 j, and 1 d when five letters picked without replacement from dldzzlzgdddylgddjd?", "a": "0" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from {y: 10, i: 4}.", "a": "18/143" }, { "q": "Five letters picked without replacement from lllllll. What is prob of picking 5 l?", "a": "1" }, { "q": "What is prob of picking 1 b, 2 v, and 2 w when five letters picked without replacement from {b: 1, w: 2, r: 1, v: 3}?", "a": "1/7" }, { "q": "Calculate prob of picking 1 q and 4 y when five letters picked without replacement from yyyyyyyqy.", "a": "5/9" }, { "q": "Calculate prob of picking 2 o and 3 l when five letters picked without replacement from {l: 9, o: 2}.", "a": "2/11" }, { "q": "What is prob of picking 1 d, 3 p, and 1 t when five letters picked without replacement from {t: 10, p: 3, d: 3}?", "a": "5/728" }, { "q": "What is prob of picking 3 o, 1 n, and 1 f when five letters picked without replacement from {n: 2, o: 6, k: 1, y: 2, f: 3, b: 2}?", "a": "5/182" }, { "q": "Five letters picked without replacement from {w: 4, v: 5, r: 6}. Give prob of picking 1 v and 4 r.", "a": "25/1001" }, { "q": "Calculate prob of picking 2 f, 2 x, and 1 z when five letters picked without replacement from {f: 10, z: 2, x: 3}.", "a": "90/1001" }, { "q": "Five letters picked without replacement from vuvuyeuvuuuuuu. Give prob of picking 1 y, 2 u, and 2 v.", "a": "54/1001" }, { "q": "What is prob of picking 1 y, 1 s, 1 e, and 2 j when five letters picked without replacement from {s: 1, e: 6, y: 1, a: 4, h: 2, j: 2}?", "a": "1/728" }, { "q": "What is prob of picking 2 z, 1 j, and 2 k when five letters picked without replacement from {u: 2, k: 4, z: 8, j: 2}?", "a": "1/13" }, { "q": "Five letters picked without replacement from {g: 9, z: 3, w: 5, q: 2}. What is prob of picking 2 g, 1 z, and 2 q?", "a": "3/323" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from nnhhhhnnhhnn?", "a": "1/132" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from {j: 8, x: 8}?", "a": "1/78" }, { "q": "Calculate prob of picking 2 i and 3 z when five letters picked without replacement from {k: 2, z: 6, v: 5, i: 3, x: 1}.", "a": "15/1547" }, { "q": "What is prob of picking 2 r and 3 x when five letters picked without replacement from {v: 1, r: 3, x: 6}?", "a": "5/21" }, { "q": "Five letters picked without replacement from {h: 2, k: 7}. Give prob of picking 5 k.", "a": "1/6" }, { "q": "Five letters picked without replacement from olouaauua. Give prob of picking 1 l, 1 u, and 3 a.", "a": "1/42" }, { "q": "Calculate prob of picking 1 a, 1 u, 1 e, and 2 y when five letters picked without replacement from yawemewywuywe.", "a": "1/143" }, { "q": "Five letters picked without replacement from {j: 12, z: 7}. What is prob of picking 3 z and 2 j?", "a": "385/1938" }, { "q": "Five letters picked without replacement from {i: 4, e: 3, u: 9}. Give prob of picking 3 i and 2 e.", "a": "1/364" }, { "q": "Five letters picked without replacement from xxxhhhxxh. Give prob of picking 5 x.", "a": "1/126" }, { "q": "Five letters picked without replacement from ttmtmmmttmttmmtt. Give prob of picking 4 t and 1 m.", "a": "21/104" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from ttddddddtttddtdtd.", "a": "3/884" }, { "q": "Five letters picked without replacement from fvfzfiimzizff. Give prob of picking 1 f, 3 i, and 1 m.", "a": "5/1287" }, { "q": "What is prob of picking 3 m and 2 i when five letters picked without replacement from jmiimiiimmimmimm?", "a": "7/26" }, { "q": "What is prob of picking 3 i and 2 c when five letters picked without replacement from icccciiccciiic?", "a": "40/143" }, { "q": "Five letters picked without replacement from ffofzoofozoifioffoii. What is prob of picking 1 i, 2 f, 1 z, and 1 o?", "a": "49/646" }, { "q": "Five letters picked without replacement from wrwwrwwwwwwrwwwwww. What is prob of picking 5 w?", "a": "143/408" }, { "q": "Five letters picked without replacement from knknkrkkrknkdd. Give prob of picking 2 d, 1 r, and 2 n.", "a": "3/1001" }, { "q": "What is prob of picking 4 o and 1 x when five letters picked without replacement from {x: 7, o: 11}?", "a": "55/204" }, { "q": "Five letters picked without replacement from alwlatslawla. Give prob of picking 1 w, 1 t, 1 s, and 2 a.", "a": "1/66" }, { "q": "Calculate prob of picking 3 f and 2 s when five letters picked without replacement from {m: 2, s: 2, f: 3}.", "a": "1/21" }, { "q": "What is prob of picking 1 w and 4 r when five letters picked without replacement from wvwrrrrrvrrwww?", "a": "25/286" }, { "q": "Five letters picked without replacement from tgeetgeggggt. What is prob of picking 1 e and 4 g?", "a": "5/88" }, { "q": "What is prob of picking 1 f, 2 h, 1 g, and 1 o when five letters picked without replacement from ighjjhjojhjf?", "a": "1/264" }, { "q": "Five letters picked without replacement from rrqrhrhhqhqhq. Give prob of picking 4 h and 1 q.", "a": "20/1287" }, { "q": "What is prob of picking 1 q and 4 m when five letters picked without replacement from mklmqmqmmkq?", "a": "5/154" }, { "q": "Five letters picked without replacement from qqywtywotyttyqywtwjt. Give prob of picking 2 t, 1 w, 1 q, and 1 y.", "a": "75/1292" }, { "q": "Five letters picked without replacement from {t: 3, i: 2, h: 5, o: 2, s: 3}. Give prob of picking 3 s, 1 i, and 1 h.", "a": "10/3003" }, { "q": "Calculate prob of picking 3 m and 2 f when five letters picked without replacement from wmmbwmbrfwfbrmbbb.", "a": "1/1547" }, { "q": "Five letters picked without replacement from {i: 1, s: 4, e: 3, k: 5, a: 3}. Give prob of picking 2 k, 1 s, 1 e, and 1 i.", "a": "5/182" }, { "q": "Calculate prob of picking 3 y and 2 d when five letters picked without replacement from yydydddydyy.", "a": "100/231" }, { "q": "Calculate prob of picking 1 x, 2 z, and 2 k when five letters picked without replacement from {x: 1, z: 4, c: 1, h: 2, k: 5}.", "a": "20/429" }, { "q": "Five letters picked without replacement from iiiiziizizziizziz. What is prob of picking 2 z and 3 i?", "a": "90/221" }, { "q": "What is prob of picking 1 s, 1 p, 1 j, 1 f, and 1 g when five letters picked without replacement from fppjwwpsgpwsjjgs?", "a": "3/182" }, { "q": "Calculate prob of picking 1 w and 4 u when five letters picked without replacement from enenuuuvulluuwllnu.", "a": "5/1224" }, { "q": "What is prob of picking 1 q, 2 p, and 2 w when five letters picked without replacement from {p: 5, f: 1, z: 1, m: 1, w: 3, q: 2}?", "a": "20/429" }, { "q": "Five letters picked without replacement from hffqhhbhhhubufc. What is prob of picking 2 u, 2 h, and 1 q?", "a": "5/1001" }, { "q": "Five letters picked without replacement from {p: 6, i: 6}. What is prob of picking 1 p and 4 i?", "a": "5/44" }, { "q": "Five letters picked without replacement from {x: 3, f: 2, c: 4, u: 3, s: 2, t: 1}. What is prob of picking 3 u and 2 x?", "a": "1/1001" }, { "q": "Calculate prob of picking 3 x and 2 b when five letters picked without replacement from {b: 4, i: 1, x: 8}.", "a": "112/429" }, { "q": "Five letters picked without replacement from {g: 7, y: 4}. What is prob of picking 3 y and 2 g?", "a": "2/11" }, { "q": "Five letters picked without replacement from {u: 10, k: 8}. What is prob of picking 5 u?", "a": "1/34" }, { "q": "What is prob of picking 1 q, 1 e, and 3 w when five letters picked without replacement from {w: 5, x: 1, q: 5, e: 1, l: 2, n: 5}?", "a": "25/5814" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {a: 5, t: 2, r: 12}.", "a": "22/323" }, { "q": "What is prob of picking 4 h and 1 n when five letters picked without replacement from {h: 6, n: 1}?", "a": "5/7" }, { "q": "Five letters picked without replacement from eyeeyyeyyyeyyyayaaye. Give prob of picking 5 y.", "a": "77/2584" }, { "q": "Calculate prob of picking 1 s and 4 t when five letters picked without replacement from {s: 4, t: 9}.", "a": "56/143" }, { "q": "Five letters picked without replacement from {w: 12, l: 6}. Give prob of picking 3 l and 2 w.", "a": "55/357" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from pfffpfppsfp.", "a": "1/462" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from zzzgzgzzggzzzzgzzzzz?", "a": "1/15504" }, { "q": "What is prob of picking 3 k and 2 n when five letters picked without replacement from {k: 12, n: 3}?", "a": "20/91" }, { "q": "What is prob of picking 3 l and 2 e when five letters picked without replacement from {e: 2, l: 5}?", "a": "10/21" }, { "q": "Five letters picked without replacement from uulllualuluauuua. Give prob of picking 1 l, 2 u, and 2 a.", "a": "5/52" }, { "q": "Five letters picked without replacement from ibbbbbbbbbbbbibbb. Give prob of picking 4 b and 1 i.", "a": "15/34" }, { "q": "Five letters picked without replacement from {z: 6}. Give prob of picking 5 z.", "a": "1" }, { "q": "Five letters picked without replacement from {j: 3, x: 1, l: 1, b: 1, c: 1}. Give prob of picking 1 l, 1 c, and 3 j.", "a": "1/21" }, { "q": "Five letters picked without replacement from {t: 2, s: 2, r: 3, w: 3, x: 4, i: 3}. Give prob of picking 2 t, 1 x, and 2 r.", "a": "3/1547" }, { "q": "Five letters picked without replacement from qqaaaqsqsqqxaxxa. Give prob of picking 1 q, 2 s, and 2 a.", "a": "5/364" }, { "q": "Five letters picked without replacement from yssksksssnsss. What is prob of picking 1 k, 3 s, and 1 n?", "a": "56/429" }, { "q": "Five letters picked without replacement from jyjqjyyyjqyyyyqyjj. Give prob of picking 1 q, 3 j, and 1 y.", "a": "15/238" }, { "q": "What is prob of picking 1 a, 2 j, and 2 v when five letters picked without replacement from vjavjajvjfjajj?", "a": "27/286" }, { "q": "Calculate prob of picking 2 r, 2 l, and 1 k when five letters picked without replacement from klllkllklkkkkklrrkr.", "a": "63/1292" }, { "q": "Five letters picked without replacement from {y: 4, q: 1, w: 3, b: 4, z: 1}. What is prob of picking 1 b, 2 y, and 2 w?", "a": "8/143" }, { "q": "What is prob of picking 1 v, 1 b, and 3 g when five letters picked without replacement from {v: 2, g: 7, b: 9}?", "a": "5/68" }, { "q": "What is prob of picking 2 q and 3 l when five letters picked without replacement from {q: 6, l: 9}?", "a": "60/143" }, { "q": "Five letters picked without replacement from {d: 2, h: 3, y: 4, n: 10}. What is prob of picking 1 d, 3 h, and 1 n?", "a": "5/2907" }, { "q": "What is prob of picking 4 s and 1 a when five letters picked without replacement from suuusuasuassaasa?", "a": "25/1456" }, { "q": "Five letters picked without replacement from nmmfmuvn. What is prob of picking 2 n, 1 v, and 2 m?", "a": "3/56" }, { "q": "Calculate prob of picking 1 f, 2 b, and 2 i when five letters picked without replacement from {i: 6, f: 4, b: 4}.", "a": "180/1001" }, { "q": "Five letters picked without replacement from aaraaardaagaaraar. What is prob of picking 1 d and 4 r?", "a": "1/6188" }, { "q": "What is prob of picking 1 i, 2 e, 1 f, and 1 x when five letters picked without replacement from ixxffdjffdjfdeefdd?", "a": "1/714" }, { "q": "Calculate prob of picking 1 n, 1 w, and 3 i when five letters picked without replacement from {p: 1, w: 7, i: 3, x: 2, h: 1, n: 1}.", "a": "1/429" }, { "q": "Five letters picked without replacement from xjxxxxajzx. What is prob of picking 3 x and 2 j?", "a": "5/63" }, { "q": "Calculate prob of picking 2 l and 3 q when five letters picked without replacement from {q: 7, l: 2}.", "a": "5/18" }, { "q": "Five letters picked without replacement from {i: 2, b: 3, l: 1, j: 3, s: 1}. What is prob of picking 1 s, 1 i, 2 b, and 1 l?", "a": "1/42" }, { "q": "Five letters picked without replacement from yiiyiyyyiyyiyy. What is prob of picking 5 i?", "a": "1/2002" }, { "q": "Five letters picked without replacement from hhhrhrh. What is prob of picking 5 r?", "a": "0" }, { "q": "What is prob of picking 1 w, 1 a, 1 d, 1 t, and 1 s when five letters picked without replacement from {s: 2, w: 5, d: 4, a: 1, t: 2, n: 2}?", "a": "5/273" }, { "q": "Calculate prob of picking 1 o, 3 g, and 1 l when five letters picked without replacement from klkgllooggcbglllb.", "a": "12/1547" }, { "q": "What is prob of picking 3 c, 1 d, and 1 t when five letters picked without replacement from {k: 3, d: 2, q: 4, t: 1, c: 7}?", "a": "5/442" }, { "q": "Five letters picked without replacement from {n: 6, e: 1, a: 4, i: 7}. Give prob of picking 2 a, 2 n, and 1 i.", "a": "5/68" }, { "q": "Five letters picked without replacement from yssyyyyysyyyyyy. Give prob of picking 3 s and 2 y.", "a": "2/91" }, { "q": "Five letters picked without replacement from {d: 4, o: 4}. What is prob of picking 1 d and 4 o?", "a": "1/14" }, { "q": "Five letters picked without replacement from {i: 1, d: 3, e: 3, a: 1, y: 1}. What is prob of picking 3 e, 1 a, and 1 y?", "a": "1/126" }, { "q": "Calculate prob of picking 1 d and 4 v when five letters picked without replacement from {v: 6, d: 6}.", "a": "5/44" }, { "q": "What is prob of picking 1 z, 2 m, 1 c, and 1 d when five letters picked without replacement from {c: 2, m: 2, z: 2, d: 2}?", "a": "1/7" }, { "q": "Five letters picked without replacement from {w: 3, q: 2, z: 3, n: 10, x: 2}. What is prob of picking 1 x, 2 w, and 2 n?", "a": "45/2584" }, { "q": "What is prob of picking 3 e and 2 d when five letters picked without replacement from tdjeedebbjy?", "a": "1/462" }, { "q": "Five letters picked without replacement from fafafffffafffaaaafaa. Give prob of picking 3 a and 2 f.", "a": "385/1292" }, { "q": "What is prob of picking 1 m, 3 y, and 1 o when five letters picked without replacement from yyymyyoyyoyoyyyommy?", "a": "220/969" }, { "q": "Five letters picked without replacement from mtqmuuuuutukm. What is prob of picking 1 q, 1 m, 1 k, 1 u, and 1 t?", "a": "4/143" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from kobbkkbkkkkkqbkk.", "a": "3/52" }, { "q": "Five letters picked without replacement from {s: 12, y: 3}. Give prob of picking 2 y and 3 s.", "a": "20/91" }, { "q": "What is prob of picking 1 z, 1 b, 1 o, 1 f, and 1 u when five letters picked without replacement from {x: 1, f: 1, u: 2, z: 1, b: 4, o: 2}?", "a": "8/231" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {l: 1, c: 5}?", "a": "1/6" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from vjjjvjvjjj.", "a": "1/12" }, { "q": "Calculate prob of picking 2 n, 2 e, and 1 v when five letters picked without replacement from {n: 3, m: 4, v: 3, e: 3}.", "a": "3/143" }, { "q": "Calculate prob of picking 2 l, 2 f, and 1 w when five letters picked without replacement from sfhsfwflhffhfshlf.", "a": "3/884" }, { "q": "Five letters picked without replacement from {d: 4, n: 1, m: 1}. What is prob of picking 3 d, 1 m, and 1 n?", "a": "2/3" }, { "q": "Five letters picked without replacement from ykdyeyyeeyeydee. What is prob of picking 2 e and 3 y?", "a": "100/1001" }, { "q": "Five letters picked without replacement from gqqjqggqggqggqjjqbg. Give prob of picking 2 g, 2 q, and 1 b.", "a": "49/969" }, { "q": "Calculate prob of picking 4 g and 1 s when five letters picked without replacement from {k: 2, s: 3, r: 3, a: 1, g: 4}.", "a": "1/429" }, { "q": "What is prob of picking 1 s, 2 v, and 2 z when five letters picked without replacement from sxzvvzpvozoo?", "a": "1/88" }, { "q": "What is prob of picking 1 q and 4 u when five letters picked without replacement from quqqqquuuqquqqqu?", "a": "25/728" }, { "q": "Five letters picked without replacement from hhhhhh. What is prob of picking 5 h?", "a": "1" }, { "q": "Five letters picked without replacement from aibbaaaiabbabaiaba. What is prob of picking 3 b, 1 a, and 1 i?", "a": "15/238" }, { "q": "Calculate prob of picking 2 p and 3 t when five letters picked without replacement from pttqtxpttttq.", "a": "35/792" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from eeuuuueuueuuuuu.", "a": "2/13" }, { "q": "Five letters picked without replacement from dwjgjoowo. Give prob of picking 2 o, 1 g, 1 j, and 1 w.", "a": "2/21" }, { "q": "What is prob of picking 1 i, 2 c, and 2 q when five letters picked without replacement from {c: 2, s: 2, n: 2, q: 2, i: 2, j: 1}?", "a": "1/231" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from ccccc?", "a": "1" }, { "q": "Five letters picked without replacement from iiiiiiiiiiwiitw. What is prob of picking 5 i?", "a": "24/91" }, { "q": "Five letters picked without replacement from tmtmmtmmmmmmmm. What is prob of picking 3 m and 2 t?", "a": "45/182" }, { "q": "What is prob of picking 1 z, 1 q, and 3 w when five letters picked without replacement from wiwzwq?", "a": "1/6" }, { "q": "Five letters picked without replacement from {n: 2, h: 1, v: 1, l: 6, p: 3, u: 7}. What is prob of picking 2 l, 1 v, and 2 p?", "a": "15/5168" }, { "q": "Calculate prob of picking 1 t, 1 b, 1 k, and 2 e when five letters picked without replacement from {i: 3, n: 1, b: 1, e: 2, k: 2, t: 3}.", "a": "1/132" }, { "q": "Five letters picked without replacement from {z: 1, h: 4, t: 5}. Give prob of picking 1 t, 3 h, and 1 z.", "a": "5/63" }, { "q": "Calculate prob of picking 4 y and 1 w when five letters picked without replacement from {y: 6, q: 3, c: 4, w: 2}.", "a": "10/1001" }, { "q": "Calculate prob of picking 3 m and 2 f when five letters picked without replacement from mmfmfmfmf.", "a": "10/21" }, { "q": "Five letters picked without replacement from saasqsqqsacqaqssqa. Give prob of picking 2 q and 3 s.", "a": "25/714" }, { "q": "Calculate prob of picking 3 u and 2 q when five letters picked without replacement from {q: 2, x: 1, b: 2, o: 6, n: 1, u: 4}.", "a": "1/1092" }, { "q": "Five letters picked without replacement from {k: 5, p: 4}. What is prob of picking 4 p and 1 k?", "a": "5/126" }, { "q": "What is prob of picking 4 x and 1 g when five letters picked without replacement from xxgxxxgxgxxxg?", "a": "56/143" }, { "q": "Five letters picked without replacement from lvnuovllvollv. What is prob of picking 2 o, 1 n, and 2 l?", "a": "10/1287" }, { "q": "Five letters picked without replacement from {o: 2, h: 5}. Give prob of picking 5 h.", "a": "1/21" }, { "q": "Five letters picked without replacement from {m: 2, s: 1, g: 2, y: 2, c: 4, w: 2}. What is prob of picking 1 s, 1 c, 2 y, and 1 g?", "a": "8/1287" }, { "q": "Calculate prob of picking 2 e, 2 y, and 1 k when five letters picked without replacement from eeyketeewekywkyetyte.", "a": "21/646" }, { "q": "Five letters picked without replacement from lillllliil. Give prob of picking 3 i and 2 l.", "a": "1/12" }, { "q": "Five letters picked without replacement from gwxgwxixxqgiwxbq. Give prob of picking 1 w, 1 b, and 3 x.", "a": "5/728" }, { "q": "Calculate prob of picking 2 s, 1 b, and 2 h when five letters picked without replacement from bhhhhbhsbsshshhs.", "a": "5/26" }, { "q": "Five letters picked without replacement from xkrxrccckxoccccccdr. Give prob of picking 1 o, 3 r, and 1 c.", "a": "1/1292" }, { "q": "Calculate prob of picking 4 c and 1 z when five letters picked without replacement from {u: 2, z: 1, c: 4}.", "a": "1/21" }, { "q": "What is prob of picking 1 q and 4 l when five letters picked without replacement from qsllplsqpplslplqplpl?", "a": "35/2584" }, { "q": "What is prob of picking 4 y and 1 q when five letters picked without replacement from {q: 4, y: 9, m: 7}?", "a": "21/646" }, { "q": "What is prob of picking 1 o, 2 b, 1 g, and 1 n when five letters picked without replacement from {i: 1, b: 4, g: 4, n: 4, o: 4}?", "a": "96/1547" }, { "q": "Calculate prob of picking 2 w, 2 j, and 1 r when five letters picked without replacement from {s: 1, j: 3, r: 1, w: 2, k: 1}.", "a": "3/56" }, { "q": "Five letters picked without replacement from hocgcyoooogcll. What is prob of picking 3 o, 1 g, and 1 l?", "a": "20/1001" }, { "q": "Five letters picked without replacement from mmddfokwkdmdmmkwm. What is prob of picking 2 k, 1 o, and 2 m?", "a": "45/6188" }, { "q": "Five letters picked without replacement from {x: 1, b: 2, i: 2, v: 12}. Give prob of picking 3 x, 1 i, and 1 v.", "a": "0" }, { "q": "What is prob of picking 1 x, 1 p, and 3 v when five letters picked without replacement from {q: 1, n: 2, p: 3, e: 2, x: 2, v: 3}?", "a": "2/429" }, { "q": "Five letters picked without replacement from avyvvvevvvvavx. What is prob of picking 1 a and 4 v?", "a": "18/143" }, { "q": "Calculate prob of picking 2 d, 1 q, and 2 f when five letters picked without replacement from fdffbqdfdqfbfdqqfqqf.", "a": "21/323" }, { "q": "Five letters picked without replacement from iaaaaii. Give prob of picking 2 i and 3 a.", "a": "4/7" }, { "q": "Five letters picked without replacement from {j: 2, k: 5, m: 1, d: 4, l: 1, r: 5}. What is prob of picking 1 r, 1 m, 1 l, and 2 k?", "a": "25/4284" }, { "q": "What is prob of picking 4 q and 1 b when five letters picked without replacement from qqqbbqqqbq?", "a": "5/12" }, { "q": "What is prob of picking 2 z and 3 p when five letters picked without replacement from {p: 8, z: 4}?", "a": "14/33" }, { "q": "What is prob of picking 2 w, 2 a, and 1 m when five letters picked without replacement from awmmmmmmmwmmmwmmmm?", "a": "0" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from {u: 9, k: 8}.", "a": "9/442" }, { "q": "Five letters picked without replacement from {v: 5, y: 4, w: 6, q: 1}. What is prob of picking 1 v and 4 y?", "a": "5/4368" }, { "q": "Calculate prob of picking 1 a and 4 h when five letters picked without replacement from {h: 6, n: 8, y: 1, a: 1, z: 1}.", "a": "15/6188" }, { "q": "What is prob of picking 2 k and 3 s when five letters picked without replacement from {k: 4, s: 5}?", "a": "10/21" }, { "q": "Five letters picked without replacement from {s: 3, e: 2, m: 8, t: 4}. Give prob of picking 1 m, 2 s, and 2 e.", "a": "6/1547" }, { "q": "Five letters picked without replacement from {o: 1, m: 7, l: 5, c: 6, x: 1}. What is prob of picking 2 c, 1 m, 1 o, and 1 x?", "a": "35/5168" }, { "q": "Five letters picked without replacement from {l: 4, j: 1, w: 3, b: 2, z: 3, r: 3}. Give prob of picking 1 z, 1 j, 2 l, and 1 b.", "a": "3/364" }, { "q": "What is prob of picking 1 l, 2 u, and 2 o when five letters picked without replacement from {p: 5, o: 4, u: 6, e: 3, l: 1}?", "a": "5/646" }, { "q": "Five letters picked without replacement from ilicppiscic. Give prob of picking 1 s, 2 c, and 2 p.", "a": "1/154" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from wxxhvaxhxaahwxaaaxx.", "a": "0" }, { "q": "Calculate prob of picking 1 k, 2 o, and 2 v when five letters picked without replacement from {k: 1, o: 6, t: 4, v: 2, h: 1, m: 5}.", "a": "5/3876" }, { "q": "Five letters picked without replacement from {d: 4, l: 1, b: 5}. Give prob of picking 1 l, 1 b, and 3 d.", "a": "5/63" }, { "q": "Calculate prob of picking 3 i and 2 a when five letters picked without replacement from aiaiiaaai.", "a": "20/63" }, { "q": "Calculate prob of picking 2 a and 3 j when five letters picked without replacement from jajhjjhjahahhahajrjj.", "a": "35/969" }, { "q": "Calculate prob of picking 1 a, 3 u, and 1 v when five letters picked without replacement from {u: 12, v: 5, a: 3}.", "a": "275/1292" }, { "q": "Five letters picked without replacement from {x: 2, j: 16}. What is prob of picking 3 j and 2 x?", "a": "10/153" }, { "q": "Calculate prob of picking 4 m and 1 s when five letters picked without replacement from msmmmmmmsmmmmsmsmms.", "a": "5005/11628" }, { "q": "Five letters picked without replacement from vsssvvssssvsvsvss. Give prob of picking 3 v and 2 s.", "a": "275/1547" }, { "q": "Five letters picked without replacement from yygglsslgyyglylassss. What is prob of picking 1 l, 1 a, 1 g, 1 y, and 1 s?", "a": "10/323" }, { "q": "Five letters picked without replacement from ggxsogwdgwsdowgdodd. Give prob of picking 2 s, 1 x, and 2 w.", "a": "1/3876" }, { "q": "Five letters picked without replacement from fwfwfoofowwwfoffowfw. Give prob of picking 1 o, 1 w, and 3 f.", "a": "245/1938" }, { "q": "Five letters picked without replacement from {u: 7, w: 11}. Give prob of picking 3 u and 2 w.", "a": "275/1224" }, { "q": "Five letters picked without replacement from hchhpkhyhkk. Give prob of picking 2 h and 3 k.", "a": "5/231" }, { "q": "Five letters picked without replacement from uuwuuuuuuuuuuuuwu. Give prob of picking 3 u and 2 w.", "a": "5/68" }, { "q": "Five letters picked without replacement from {y: 5, q: 2, n: 1, d: 9, l: 1}. What is prob of picking 2 n and 3 l?", "a": "0" }, { "q": "What is prob of picking 2 s and 3 o when five letters picked without replacement from {o: 3, s: 2, j: 9}?", "a": "1/2002" }, { "q": "Calculate prob of picking 2 e and 3 n when five letters picked without replacement from {e: 13, n: 4}.", "a": "6/119" }, { "q": "Five letters picked without replacement from iiiiiiiiiiiiiiiivi. What is prob of picking 4 i and 1 v?", "a": "5/18" }, { "q": "Five letters picked without replacement from grogcoorohcror. Give prob of picking 1 h, 2 g, and 2 c.", "a": "1/2002" }, { "q": "Calculate prob of picking 1 p and 4 w when five letters picked without replacement from {w: 9, p: 5, q: 1, i: 5}.", "a": "105/2584" }, { "q": "Five letters picked without replacement from oooqoyygogoqoxoxqqog. What is prob of picking 2 x, 1 q, 1 g, and 1 y?", "a": "1/646" }, { "q": "Calculate prob of picking 3 d and 2 q when five letters picked without replacement from dcddqcdddqdddccw.", "a": "1/52" }, { "q": "Five letters picked without replacement from hceheceechcccechcc. Give prob of picking 1 c, 3 h, and 1 e.", "a": "5/238" }, { "q": "What is prob of picking 1 c, 1 d, 1 z, and 2 k when five letters picked without replacement from lfdkccczddk?", "a": "3/154" }, { "q": "Calculate prob of picking 1 d and 4 a when five letters picked without replacement from xdddaddodd.", "a": "0" }, { "q": "Five letters picked without replacement from wvdvvddsvsvdvwvwwv. What is prob of picking 2 w, 2 s, and 1 d?", "a": "1/357" }, { "q": "Five letters picked without replacement from qnvnvononooovov. What is prob of picking 1 v, 3 n, and 1 o?", "a": "32/1001" }, { "q": "Five letters picked without replacement from dhdddddddddddddd. What is prob of picking 1 h and 4 d?", "a": "5/16" }, { "q": "Calculate prob of picking 1 c, 3 f, and 1 z when five letters picked without replacement from {z: 9, f: 5, c: 5}.", "a": "25/646" }, { "q": "Five letters picked without replacement from aajjjajjajajjaaa. Give prob of picking 3 j and 2 a.", "a": "14/39" }, { "q": "What is prob of picking 2 b and 3 h when five letters picked without replacement from {l: 3, b: 7, p: 2, h: 6, i: 2}?", "a": "35/1292" }, { "q": "Five letters picked without replacement from {a: 8}. What is prob of picking 5 a?", "a": "1" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from {h: 5, u: 8}.", "a": "56/1287" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from {q: 4, k: 12}?", "a": "33/182" }, { "q": "Five letters picked without replacement from {c: 5, r: 4}. What is prob of picking 4 r and 1 c?", "a": "5/126" }, { "q": "Five letters picked without replacement from qqeeqeeeqeeqqqqeeqq. What is prob of picking 2 e and 3 q?", "a": "120/323" }, { "q": "Five letters picked without replacement from ppyyyypp. Give prob of picking 2 y and 3 p.", "a": "3/7" }, { "q": "Five letters picked without replacement from xxxxxxxnxxnxxn. What is prob of picking 2 x and 3 n?", "a": "5/182" }, { "q": "Five letters picked without replacement from xqeqeqfq. Give prob of picking 2 q, 2 e, and 1 f.", "a": "3/28" }, { "q": "Five letters picked without replacement from barbbbrrbbbbberbbxbb. What is prob of picking 1 e, 1 a, and 3 r?", "a": "1/3876" }, { "q": "Five letters picked without replacement from {q: 3, c: 5, o: 5}. What is prob of picking 5 c?", "a": "1/1287" }, { "q": "Five letters picked without replacement from nnknnknn. Give prob of picking 2 k and 3 n.", "a": "5/14" }, { "q": "What is prob of picking 1 y, 1 o, 1 l, 1 p, and 1 v when five letters picked without replacement from {o: 1, x: 3, y: 6, l: 1, p: 1, v: 2}?", "a": "6/1001" }, { "q": "Five letters picked without replacement from {n: 1, o: 1, c: 1, i: 1, h: 1, x: 1}. Give prob of picking 1 c, 3 x, and 1 o.", "a": "0" }, { "q": "Calculate prob of picking 4 o and 1 i when five letters picked without replacement from oiolploipiiiooiom.", "a": "45/3094" }, { "q": "Five letters picked without replacement from {e: 5, l: 1, p: 4, n: 3}. What is prob of picking 1 l, 2 p, 1 e, and 1 n?", "a": "10/143" }, { "q": "Five letters picked without replacement from tswstszgtgxwtxsztw. Give prob of picking 5 g.", "a": "0" }, { "q": "Calculate prob of picking 3 m and 2 l when five letters picked without replacement from mmmmlmmmlmm.", "a": "2/11" }, { "q": "Five letters picked without replacement from pnfjpnppjpnppnfsjf. Give prob of picking 1 j, 2 f, 1 n, and 1 p.", "a": "1/34" }, { "q": "Five letters picked without replacement from {n: 5, u: 10}. Give prob of picking 3 n and 2 u.", "a": "150/1001" }, { "q": "What is prob of picking 1 x and 4 m when five letters picked without replacement from yxmmmvmxmmmmmm?", "a": "30/143" }, { "q": "Calculate prob of picking 1 x, 2 s, and 2 v when five letters picked without replacement from {s: 5, v: 5, w: 5, x: 1}.", "a": "25/1092" }, { "q": "Calculate prob of picking 1 q, 2 g, and 2 i when five letters picked without replacement from iqigiigigiggigiiq.", "a": "270/1547" }, { "q": "Calculate prob of picking 1 d, 1 g, and 3 p when five letters picked without replacement from ddpppgpggppgpg.", "a": "25/143" }, { "q": "Calculate prob of picking 2 z, 2 l, and 1 w when five letters picked without replacement from zxlfllltztlwlfttt.", "a": "15/6188" }, { "q": "Calculate prob of picking 3 r and 2 d when five letters picked without replacement from {d: 2, r: 8, l: 1, e: 4}.", "a": "8/429" }, { "q": "Five letters picked without replacement from rffrfrffffffff. Give prob of picking 1 r and 4 f.", "a": "45/91" }, { "q": "Five letters picked without replacement from unmuuluunumu. What is prob of picking 2 m, 1 u, and 2 l?", "a": "0" }, { "q": "What is prob of picking 4 f and 1 r when five letters picked without replacement from fmfrffmmznlnf?", "a": "5/1287" }, { "q": "Five letters picked without replacement from rgrrgwrrrwgggrbw. Give prob of picking 1 b and 4 r.", "a": "5/624" }, { "q": "Five letters picked without replacement from bbbbbbbrbbbbbbbb. What is prob of picking 5 b?", "a": "11/16" }, { "q": "Calculate prob of picking 4 x and 1 h when five letters picked without replacement from {x: 6, h: 3}.", "a": "5/14" }, { "q": "Calculate prob of picking 1 r and 4 h when five letters picked without replacement from {h: 4, y: 2, r: 9}.", "a": "3/1001" }, { "q": "What is prob of picking 2 b and 3 i when five letters picked without replacement from iibbiiiii?", "a": "5/18" }, { "q": "Calculate prob of picking 2 m and 3 k when five letters picked without replacement from {o: 6, m: 5, k: 3}.", "a": "5/1001" }, { "q": "Five letters picked without replacement from {r: 12, s: 3}. Give prob of picking 3 r and 2 s.", "a": "20/91" }, { "q": "Five letters picked without replacement from {y: 4, e: 2, s: 3, k: 5, c: 5}. What is prob of picking 2 k, 2 c, and 1 s?", "a": "25/969" }, { "q": "Five letters picked without replacement from {m: 6, i: 9}. What is prob of picking 4 m and 1 i?", "a": "45/1001" }, { "q": "Five letters picked without replacement from wllwolwwowwoowowww. What is prob of picking 5 w?", "a": "1/34" }, { "q": "Five letters picked without replacement from {d: 1, s: 1, k: 1, l: 3, b: 2, r: 8}. Give prob of picking 1 s, 1 r, 2 l, and 1 b.", "a": "1/91" }, { "q": "Five letters picked without replacement from pspcsvspcvp. Give prob of picking 1 v, 1 p, and 3 s.", "a": "4/231" }, { "q": "Five letters picked without replacement from {y: 7, u: 10}. What is prob of picking 1 u and 4 y?", "a": "25/442" }, { "q": "Five letters picked without replacement from {o: 8, d: 4, w: 4}. What is prob of picking 2 o and 3 d?", "a": "1/39" }, { "q": "Calculate prob of picking 1 t, 1 i, 1 u, 1 m, and 1 j when five letters picked without replacement from mtiuhhjihhhhijjm.", "a": "3/728" }, { "q": "Five letters picked without replacement from txxxxxtxxxnbxtxt. Give prob of picking 1 b, 1 x, and 3 t.", "a": "5/546" }, { "q": "Five letters picked without replacement from {k: 4, n: 7, r: 6}. Give prob of picking 3 k and 2 n.", "a": "3/221" }, { "q": "Five letters picked without replacement from {g: 4, e: 4, o: 4}. What is prob of picking 1 o, 1 g, and 3 e?", "a": "8/99" }, { "q": "Calculate prob of picking 2 l, 1 d, and 2 a when five letters picked without replacement from {o: 6, l: 8, a: 3, d: 1}.", "a": "1/102" }, { "q": "Calculate prob of picking 1 e, 3 n, and 1 z when five letters picked without replacement from nznnaaznenennzze.", "a": "5/52" }, { "q": "Five letters picked without replacement from {t: 4, r: 1, p: 3, q: 2, w: 1, g: 3}. Give prob of picking 1 g, 2 q, and 2 t.", "a": "9/1001" }, { "q": "What is prob of picking 3 q and 2 a when five letters picked without replacement from raaaanaaraaqnaaaaaa?", "a": "0" }, { "q": "What is prob of picking 3 c and 2 g when five letters picked without replacement from cugucgcgc?", "a": "2/21" }, { "q": "Calculate prob of picking 4 o and 1 i when five letters picked without replacement from {o: 8, i: 9}.", "a": "45/442" }, { "q": "What is prob of picking 1 c, 1 m, 1 o, 1 j, and 1 y when five letters picked without replacement from ymccmjcoccoymjoc?", "a": "9/182" }, { "q": "Five letters picked without replacement from {o: 2, y: 2, i: 2, j: 1, m: 1}. What is prob of picking 1 m, 1 y, 1 i, and 2 o?", "a": "1/14" }, { "q": "Calculate prob of picking 1 l, 1 w, and 3 a when five letters picked without replacement from {k: 2, l: 1, a: 5, n: 3, w: 2}.", "a": "20/1287" }, { "q": "Five letters picked without replacement from {r: 7, a: 4, m: 4, l: 5}. Give prob of picking 3 m, 1 r, and 1 a.", "a": "7/969" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from runddrrdureureu.", "a": "1/3003" }, { "q": "Five letters picked without replacement from {s: 2, q: 2, e: 16}. Give prob of picking 2 s and 3 e.", "a": "35/969" }, { "q": "Five letters picked without replacement from {g: 8, p: 3, l: 6, n: 3}. Give prob of picking 2 l, 2 n, and 1 g.", "a": "15/646" }, { "q": "What is prob of picking 1 q, 3 k, and 1 d when five letters picked without replacement from qxkdkkkkkk?", "a": "5/36" }, { "q": "Five letters picked without replacement from {f: 9}. Give prob of picking 5 f.", "a": "1" }, { "q": "Five letters picked without replacement from ldddmdkkdldllk. Give prob of picking 3 l, 1 m, and 1 k.", "a": "6/1001" }, { "q": "Five letters picked without replacement from {f: 4, o: 2, c: 9}. Give prob of picking 2 o and 3 c.", "a": "4/143" }, { "q": "Five letters picked without replacement from {u: 3, d: 1, r: 1, g: 2, n: 1, x: 1}. What is prob of picking 1 d, 1 n, 2 g, and 1 x?", "a": "1/126" }, { "q": "Five letters picked without replacement from {b: 2, s: 13, n: 5}. Give prob of picking 4 n and 1 b.", "a": "5/7752" }, { "q": "Calculate prob of picking 4 s and 1 m when five letters picked without replacement from sqswqssqmmqqqq.", "a": "1/1001" }, { "q": "What is prob of picking 3 z and 2 e when five letters picked without replacement from zzezzeezzzzzeez?", "a": "400/1001" }, { "q": "What is prob of picking 1 t and 4 f when five letters picked without replacement from ffffttfffff?", "a": "6/11" }, { "q": "What is prob of picking 2 v, 1 m, 1 s, and 1 q when five letters picked without replacement from vvqsmvvvmvvmv?", "a": "28/429" }, { "q": "Five letters picked without replacement from {w: 1, g: 1, t: 2, n: 3, q: 2, x: 1}. Give prob of picking 1 t, 1 g, and 3 n.", "a": "1/126" }, { "q": "Five letters picked without replacement from ddkddkkkdrdddrrkd. What is prob of picking 1 k and 4 d?", "a": "45/442" }, { "q": "Calculate prob of picking 3 g and 2 w when five letters picked without replacement from {l: 1, w: 4, g: 5}.", "a": "5/21" }, { "q": "What is prob of picking 1 i, 3 g, and 1 f when five letters picked without replacement from {f: 1, g: 12, i: 7}?", "a": "385/3876" }, { "q": "What is prob of picking 1 m, 1 w, and 3 q when five letters picked without replacement from qpqqlqqqqpmqpwqqqlq?", "a": "55/2907" }, { "q": "Five letters picked without replacement from ttzuzgktzut. What is prob of picking 1 u, 2 t, 1 k, and 1 z?", "a": "6/77" }, { "q": "Five letters picked without replacement from {g: 4, b: 13, s: 2}. What is prob of picking 4 b and 1 g?", "a": "715/2907" }, { "q": "What is prob of picking 2 e and 3 c when five letters picked without replacement from eececlecceeleleecl?", "a": "5/119" }, { "q": "Five letters picked without replacement from {a: 1, k: 2, e: 1, c: 1, o: 2, q: 2}. What is prob of picking 1 k, 2 q, and 2 o?", "a": "1/63" }, { "q": "Calculate prob of picking 1 l, 1 u, 1 g, and 2 k when five letters picked without replacement from ngglunugkuugnkngk.", "a": "15/1547" }, { "q": "Five letters picked without replacement from {n: 15, x: 4}. Give prob of picking 2 n and 3 x.", "a": "35/969" }, { "q": "Five letters picked without replacement from {h: 7, d: 3}. Give prob of picking 3 d and 2 h.", "a": "1/12" }, { "q": "Five letters picked without replacement from zszzzzszzzzzzzzzzssz. Give prob of picking 4 z and 1 s.", "a": "455/969" }, { "q": "Five letters picked without replacement from {g: 3, x: 2, i: 3, a: 2, l: 3, b: 3}. Give prob of picking 2 x, 2 a, and 1 l.", "a": "1/1456" }, { "q": "Five letters picked without replacement from uzuzuzzll. Give prob of picking 2 l and 3 u.", "a": "1/126" }, { "q": "What is prob of picking 3 r and 2 u when five letters picked without replacement from mrrrrrurrhurrgr?", "a": "40/1001" }, { "q": "Five letters picked without replacement from jnhjjhnghghgjnhonnnj. What is prob of picking 4 j and 1 h?", "a": "25/15504" }, { "q": "Five letters picked without replacement from {j: 4, g: 5, o: 6}. What is prob of picking 1 g, 1 j, and 3 o?", "a": "400/3003" }, { "q": "Calculate prob of picking 2 j, 2 e, and 1 n when five letters picked without replacement from {e: 3, n: 7, j: 6, u: 2}.", "a": "5/136" }, { "q": "What is prob of picking 1 l, 2 f, 1 p, and 1 m when five letters picked without replacement from lmpzpmqqlqfzfpmzfpqq?", "a": "3/646" }, { "q": "Five letters picked without replacement from aaaaaaa. Give prob of picking 5 a.", "a": "1" }, { "q": "What is prob of picking 3 r and 2 f when five letters picked without replacement from frrffffrfrffrfffrrf?", "a": "385/1938" }, { "q": "Five letters picked without replacement from hhhuuuuuuuuh. What is prob of picking 4 u and 1 h?", "a": "35/99" }, { "q": "Five letters picked without replacement from wkkwkkskswkkkkkkwskw. Give prob of picking 3 k and 2 s.", "a": "55/1292" }, { "q": "Five letters picked without replacement from {b: 9, o: 5}. What is prob of picking 3 b and 2 o?", "a": "60/143" }, { "q": "Five letters picked without replacement from {h: 2, b: 4, p: 4, n: 1}. What is prob of picking 1 b, 3 p, and 1 h?", "a": "16/231" }, { "q": "What is prob of picking 4 n and 1 e when five letters picked without replacement from znznnzzzzezneeezz?", "a": "1/1547" }, { "q": "What is prob of picking 2 c, 1 q, and 2 u when five letters picked without replacement from qxxxqqqqccuqquxqqqq?", "a": "11/11628" }, { "q": "Five letters picked without replacement from {r: 5, q: 3, o: 7, a: 2}. Give prob of picking 3 r, 1 a, and 1 q.", "a": "15/1547" }, { "q": "Calculate prob of picking 3 d, 1 g, and 1 f when five letters picked without replacement from dffdgffuuduuufudufgu.", "a": "1/323" }, { "q": "What is prob of picking 1 v and 4 u when five letters picked without replacement from {u: 9, s: 2, d: 3, e: 1, v: 2}?", "a": "9/221" }, { "q": "Calculate prob of picking 2 k, 2 p, and 1 t when five letters picked without replacement from {z: 2, p: 6, t: 6, k: 2, b: 2}.", "a": "5/476" }, { "q": "What is prob of picking 2 w, 1 c, 1 r, and 1 d when five letters picked without replacement from dwdwdddcwddddrd?", "a": "10/1001" }, { "q": "Five letters picked without replacement from {a: 2, l: 1, m: 2, f: 1, v: 1, p: 4}. What is prob of picking 1 v, 2 p, and 2 m?", "a": "1/77" }, { "q": "Five letters picked without replacement from {y: 3, d: 6}. Give prob of picking 2 d and 3 y.", "a": "5/42" }, { "q": "Five letters picked without replacement from ssyxssxfsxssdxsx. Give prob of picking 1 f, 1 x, and 3 s.", "a": "5/78" }, { "q": "Five letters picked without replacement from ppplppplppllppp. Give prob of picking 4 l and 1 p.", "a": "1/273" }, { "q": "Calculate prob of picking 1 h, 3 f, and 1 d when five letters picked without replacement from {d: 6, f: 3, h: 7, u: 1}.", "a": "3/442" }, { "q": "What is prob of picking 3 x and 2 f when five letters picked without replacement from fxbffxfxx?", "a": "4/21" }, { "q": "Five letters picked without replacement from {x: 7, w: 9}. Give prob of picking 1 w and 4 x.", "a": "15/208" }, { "q": "Five letters picked without replacement from {i: 3, r: 1, c: 1, v: 7, t: 4}. What is prob of picking 4 v and 1 r?", "a": "5/624" }, { "q": "Five letters picked without replacement from tlltllltlllbltlllll. What is prob of picking 2 t and 3 l?", "a": "182/969" }, { "q": "Calculate prob of picking 2 l, 1 j, and 2 z when five letters picked without replacement from jlzzrjrlr.", "a": "1/63" }, { "q": "Five letters picked without replacement from {b: 8, x: 1, f: 4, a: 1, o: 2, v: 1}. Give prob of picking 1 b, 2 f, 1 o, and 1 v.", "a": "24/1547" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from {b: 7, m: 4}?", "a": "1/22" }, { "q": "Five letters picked without replacement from {z: 10, k: 8}. What is prob of picking 3 k and 2 z?", "a": "5/17" }, { "q": "What is prob of picking 4 h and 1 o when five letters picked without replacement from hhhoohoahohohhhoha?", "a": "5/34" }, { "q": "Five letters picked without replacement from {s: 1, v: 3, d: 1, g: 5, a: 3, q: 1}. What is prob of picking 1 v, 2 a, and 2 g?", "a": "45/1001" }, { "q": "What is prob of picking 1 d, 1 e, 1 f, 1 c, and 1 h when five letters picked without replacement from {f: 1, o: 1, h: 1, e: 1, c: 1, d: 1}?", "a": "1/6" }, { "q": "Five letters picked without replacement from cccczzczczzzccczzcc. What is prob of picking 4 z and 1 c?", "a": "385/5814" }, { "q": "Calculate prob of picking 2 s and 3 n when five letters picked without replacement from {n: 9, s: 2}.", "a": "2/11" }, { "q": "What is prob of picking 2 z, 2 n, and 1 h when five letters picked without replacement from {h: 3, x: 2, z: 4, n: 4}?", "a": "12/143" }, { "q": "Calculate prob of picking 2 m, 1 u, and 2 g when five letters picked without replacement from uepmpgmuogopoum.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {e: 10, z: 3, a: 5}. Give prob of picking 2 e, 1 a, and 2 z.", "a": "75/952" }, { "q": "Five letters picked without replacement from ckkkkjkjkncjnj. Give prob of picking 1 j, 2 c, 1 k, and 1 n.", "a": "24/1001" }, { "q": "Five letters picked without replacement from jjljllijjllijlirrnan. Give prob of picking 3 i and 2 r.", "a": "1/15504" }, { "q": "Calculate prob of picking 1 w, 2 t, and 2 r when five letters picked without replacement from rttwrdrrrtdrwrr.", "a": "8/143" }, { "q": "Five letters picked without replacement from llllzllllzllzlz. What is prob of picking 2 l and 3 z?", "a": "20/273" }, { "q": "What is prob of picking 3 s and 2 j when five letters picked without replacement from {d: 2, o: 3, j: 8, s: 4}?", "a": "4/221" }, { "q": "Calculate prob of picking 1 f and 4 j when five letters picked without replacement from jjjjejjjjjff.", "a": "7/22" }, { "q": "Calculate prob of picking 1 z and 4 q when five letters picked without replacement from qqqqqzqlqzqqqqqqqql.", "a": "455/1938" }, { "q": "Five letters picked without replacement from afaafaafafaafa. What is prob of picking 5 f?", "a": "1/2002" }, { "q": "What is prob of picking 4 n and 1 i when five letters picked without replacement from iinniiini?", "a": "0" }, { "q": "What is prob of picking 2 o and 3 x when five letters picked without replacement from aoaoxaooaxxxa?", "a": "8/429" }, { "q": "Calculate prob of picking 2 z and 3 q when five letters picked without replacement from zzqqqzzzzqqqzqqzzqq.", "a": "120/323" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {o: 6, c: 10}?", "a": "3/52" }, { "q": "What is prob of picking 1 t, 2 m, and 2 f when five letters picked without replacement from vfffmmfyfffmmfftm?", "a": "90/1547" }, { "q": "Five letters picked without replacement from {g: 4, k: 5, u: 5}. Give prob of picking 1 g and 4 u.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {g: 16, j: 3}. What is prob of picking 5 g?", "a": "364/969" }, { "q": "Five letters picked without replacement from {k: 3, z: 6, y: 5}. What is prob of picking 4 z and 1 k?", "a": "45/2002" }, { "q": "Five letters picked without replacement from {a: 7, t: 6, x: 3, y: 1}. Give prob of picking 3 t, 1 y, and 1 x.", "a": "15/1547" }, { "q": "Five letters picked without replacement from tfffyhuyuyftftfyh. Give prob of picking 2 u, 1 f, and 2 y.", "a": "9/1547" }, { "q": "Calculate prob of picking 2 f and 3 u when five letters picked without replacement from {f: 10, u: 3, l: 1, p: 3}.", "a": "45/6188" }, { "q": "Five letters picked without replacement from {m: 4, c: 5, y: 1, q: 5}. What is prob of picking 4 m and 1 y?", "a": "1/3003" }, { "q": "Five letters picked without replacement from tssssydfuttfsyfs. Give prob of picking 1 d, 1 u, 1 y, and 2 s.", "a": "5/728" }, { "q": "Five letters picked without replacement from aahahahth. Give prob of picking 3 a and 2 h.", "a": "4/21" }, { "q": "Five letters picked without replacement from wvcwowcwwcw. What is prob of picking 1 v, 1 o, and 3 c?", "a": "1/462" }, { "q": "Five letters picked without replacement from ubuwwyueewf. Give prob of picking 3 w, 1 e, and 1 f.", "a": "1/231" }, { "q": "Five letters picked without replacement from tppbbbtttbbbbpbtbp. What is prob of picking 2 p and 3 b?", "a": "1/17" }, { "q": "Five letters picked without replacement from ddddddfdfddffdddddd. Give prob of picking 5 d.", "a": "1001/3876" }, { "q": "Calculate prob of picking 2 e, 1 w, 1 s, and 1 a when five letters picked without replacement from {g: 3, e: 2, s: 2, a: 1, w: 1, k: 2}.", "a": "1/231" }, { "q": "Five letters picked without replacement from {n: 1, p: 2, w: 6, h: 1, z: 2, d: 5}. Give prob of picking 1 d, 1 h, and 3 n.", "a": "0" }, { "q": "Five letters picked without replacement from qlqqqmsjmqqm. Give prob of picking 1 s, 2 q, and 2 m.", "a": "5/88" }, { "q": "Five letters picked without replacement from nknnkngkgnnkkkwknngg. What is prob of picking 3 k, 1 n, and 1 w?", "a": "35/1938" }, { "q": "Calculate prob of picking 4 b and 1 h when five letters picked without replacement from bkbhbkhkkbkkkkkbhkk.", "a": "5/3876" }, { "q": "Calculate prob of picking 1 n, 2 a, and 2 o when five letters picked without replacement from {o: 2, a: 5, e: 1, j: 1, n: 1}.", "a": "5/126" }, { "q": "Five letters picked without replacement from {u: 1, j: 6, d: 1, n: 3}. What is prob of picking 1 d, 2 n, 1 u, and 1 j?", "a": "3/77" }, { "q": "Calculate prob of picking 1 y and 4 f when five letters picked without replacement from {y: 6, k: 4, f: 9}.", "a": "21/323" }, { "q": "Five letters picked without replacement from {n: 1, b: 1, z: 1, h: 4, a: 3, p: 1}. Give prob of picking 3 a, 1 p, and 1 b.", "a": "1/462" }, { "q": "Calculate prob of picking 4 n and 1 p when five letters picked without replacement from {n: 5, p: 7}.", "a": "35/792" }, { "q": "Five letters picked without replacement from wwmmmmmmwmmmwmwmmm. Give prob of picking 5 m.", "a": "143/952" }, { "q": "What is prob of picking 4 x and 1 m when five letters picked without replacement from vxxmqxxmmx?", "a": "5/84" }, { "q": "Five letters picked without replacement from xaaxxxxxa. Give prob of picking 4 x and 1 a.", "a": "5/14" }, { "q": "What is prob of picking 2 f, 1 r, and 2 b when five letters picked without replacement from {g: 1, b: 2, f: 5, e: 10, r: 1}?", "a": "5/5814" }, { "q": "What is prob of picking 3 t and 2 p when five letters picked without replacement from pttpwtttptwpvtppt?", "a": "30/221" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from rpppvppvppppvvppvp.", "a": "1/8568" }, { "q": "Five letters picked without replacement from {h: 4, m: 2, z: 10}. What is prob of picking 2 z, 1 h, and 2 m?", "a": "15/364" }, { "q": "Five letters picked without replacement from oumfoouufpofuo. What is prob of picking 1 o and 4 u?", "a": "5/2002" }, { "q": "Five letters picked without replacement from {m: 5, i: 3, p: 2, l: 2, g: 4}. What is prob of picking 1 m, 1 l, and 3 i?", "a": "5/2184" }, { "q": "Calculate prob of picking 2 m and 3 t when five letters picked without replacement from {k: 1, t: 3, e: 3, z: 6, m: 5, c: 1}.", "a": "5/5814" }, { "q": "Calculate prob of picking 4 y and 1 x when five letters picked without replacement from yyyyyyx.", "a": "5/7" }, { "q": "Five letters picked without replacement from yyhyhhhhhhhhyhhyyyy. Give prob of picking 5 h.", "a": "77/1938" }, { "q": "Five letters picked without replacement from oggoggg. Give prob of picking 1 o and 4 g.", "a": "10/21" }, { "q": "Calculate prob of picking 1 d, 1 f, and 3 c when five letters picked without replacement from ccyccdycvwydcf.", "a": "20/1001" }, { "q": "Calculate prob of picking 1 d, 1 m, and 3 c when five letters picked without replacement from {m: 11, d: 5, c: 3}.", "a": "55/11628" }, { "q": "What is prob of picking 3 x, 1 g, and 1 t when five letters picked without replacement from uuxxtzgxntngtgngggg?", "a": "7/3876" }, { "q": "What is prob of picking 2 y and 3 b when five letters picked without replacement from {b: 4, y: 15}?", "a": "35/969" }, { "q": "Calculate prob of picking 4 w and 1 t when five letters picked without replacement from wwwwwtwwwwwwwwwttwt.", "a": "455/969" }, { "q": "Five letters picked without replacement from {a: 2, j: 1, y: 3, r: 2, w: 3, u: 2}. Give prob of picking 1 w, 2 u, 1 a, and 1 y.", "a": "2/143" }, { "q": "Five letters picked without replacement from ovaxzxxoxxvovo. Give prob of picking 2 v, 1 z, 1 x, and 1 a.", "a": "15/2002" }, { "q": "Five letters picked without replacement from hbsbbbbsrhhybbhxb. Give prob of picking 1 r, 1 s, 1 b, 1 h, and 1 x.", "a": "16/1547" }, { "q": "Calculate prob of picking 2 k and 3 q when five letters picked without replacement from qqkkkkqkkkqkkk.", "a": "90/1001" }, { "q": "Calculate prob of picking 2 m, 1 y, 1 z, and 1 u when five letters picked without replacement from {u: 4, m: 12, z: 1, y: 1}.", "a": "11/357" }, { "q": "What is prob of picking 2 v, 2 i, and 1 s when five letters picked without replacement from {f: 3, v: 13, i: 2, s: 1}?", "a": "13/1938" }, { "q": "Five letters picked without replacement from xxnjrrpffnpfpppxpnjj. What is prob of picking 2 f, 1 j, and 2 r?", "a": "3/5168" }, { "q": "Calculate prob of picking 1 n, 1 q, 1 f, and 2 y when five letters picked without replacement from nyqyyyffeyn.", "a": "20/231" }, { "q": "What is prob of picking 1 c, 3 f, and 1 o when five letters picked without replacement from fofoffcocffo?", "a": "20/99" }, { "q": "Five letters picked without replacement from {b: 5, q: 1, f: 5, d: 1}. What is prob of picking 1 q, 3 f, and 1 b?", "a": "25/396" }, { "q": "What is prob of picking 2 i and 3 b when five letters picked without replacement from {b: 8, i: 2, e: 6}?", "a": "1/78" }, { "q": "Five letters picked without replacement from ysrrsryrwysls. What is prob of picking 1 l, 2 r, 1 w, and 1 s?", "a": "8/429" }, { "q": "Calculate prob of picking 4 b and 1 t when five letters picked without replacement from {z: 1, b: 8, t: 1, j: 7}.", "a": "5/442" }, { "q": "Calculate prob of picking 3 z and 2 w when five letters picked without replacement from {z: 5, w: 6, u: 7}.", "a": "25/1428" }, { "q": "What is prob of picking 3 r, 1 q, and 1 z when five letters picked without replacement from {z: 2, v: 1, q: 1, m: 1, r: 3, d: 1}?", "a": "1/63" }, { "q": "Calculate prob of picking 1 h and 4 o when five letters picked without replacement from oyyyhyhyyhyyyhooooo.", "a": "5/969" }, { "q": "Calculate prob of picking 1 b, 2 l, and 2 f when five letters picked without replacement from {f: 5, b: 1, j: 5, l: 3}.", "a": "15/1001" }, { "q": "Five letters picked without replacement from {u: 7, q: 13}. Give prob of picking 5 q.", "a": "429/5168" }, { "q": "Calculate prob of picking 2 l and 3 b when five letters picked without replacement from bbbbblblb.", "a": "5/18" }, { "q": "Calculate prob of picking 1 d and 4 v when five letters picked without replacement from {d: 3, v: 9}.", "a": "21/44" }, { "q": "Five letters picked without replacement from {y: 4, o: 6, p: 1, t: 2, g: 3}. Give prob of picking 1 o, 3 g, and 1 y.", "a": "1/182" }, { "q": "What is prob of picking 1 y, 2 g, and 2 h when five letters picked without replacement from hghhgghhugyugy?", "a": "100/1001" }, { "q": "What is prob of picking 4 d and 1 p when five letters picked without replacement from {w: 1, e: 3, p: 7, d: 4}?", "a": "1/429" }, { "q": "Calculate prob of picking 1 z and 4 t when five letters picked without replacement from ztzzbzbzzbbtttt.", "a": "10/1001" }, { "q": "Five letters picked without replacement from nwjnnnsnwjjjwnjjwwj. What is prob of picking 1 n, 2 j, 1 s, and 1 w?", "a": "35/646" }, { "q": "Five letters picked without replacement from wppnbpbnwpwnwbqnp. Give prob of picking 1 b, 1 n, 1 q, 1 w, and 1 p.", "a": "60/1547" }, { "q": "Five letters picked without replacement from {p: 1, h: 2, c: 2, n: 1, d: 3, j: 1}. Give prob of picking 2 d, 2 c, and 1 j.", "a": "1/84" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from vppvvvczcpvcvcpvvzvz.", "a": "21/2584" }, { "q": "Five letters picked without replacement from {x: 1, o: 5, p: 1, y: 6}. Give prob of picking 1 x, 1 p, 1 y, and 2 o.", "a": "20/429" }, { "q": "What is prob of picking 1 b, 3 e, and 1 d when five letters picked without replacement from bdebeedee?", "a": "20/63" }, { "q": "Five letters picked without replacement from vvzvzaazzza. Give prob of picking 3 a and 2 z.", "a": "5/231" }, { "q": "Calculate prob of picking 4 b and 1 s when five letters picked without replacement from ggibbggibibiiobsi.", "a": "5/6188" }, { "q": "Calculate prob of picking 3 w and 2 j when five letters picked without replacement from {a: 5, j: 11, w: 3}.", "a": "55/11628" }, { "q": "Calculate prob of picking 4 u and 1 i when five letters picked without replacement from iivuviuuvvvvipu.", "a": "4/3003" }, { "q": "Five letters picked without replacement from {x: 5, z: 13}. Give prob of picking 2 z and 3 x.", "a": "65/714" }, { "q": "What is prob of picking 1 u, 3 f, and 1 i when five letters picked without replacement from {u: 7, z: 1, f: 5, i: 2}?", "a": "20/429" }, { "q": "Calculate prob of picking 1 i, 1 h, 2 j, and 1 u when five letters picked without replacement from {j: 2, u: 1, r: 1, i: 1, v: 1, h: 1}.", "a": "1/21" }, { "q": "Calculate prob of picking 2 z, 2 c, and 1 g when five letters picked without replacement from {g: 3, c: 5, f: 2, z: 4, s: 5}.", "a": "5/323" }, { "q": "Five letters picked without replacement from {s: 1, n: 1, t: 1, b: 1, w: 2, j: 1}. What is prob of picking 1 t, 1 b, 1 s, 1 w, and 1 j?", "a": "2/21" }, { "q": "Calculate prob of picking 2 j, 1 r, and 2 k when five letters picked without replacement from kjkrkkkkkkkkkjrkkrkr.", "a": "91/3876" }, { "q": "Calculate prob of picking 2 r and 3 w when five letters picked without replacement from rwwwwwwwwwwwwrw.", "a": "2/21" }, { "q": "Five letters picked without replacement from {e: 4, w: 6, i: 4}. Give prob of picking 1 w and 4 e.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {a: 3, n: 17}. What is prob of picking 3 n and 2 a?", "a": "5/38" }, { "q": "What is prob of picking 1 e and 4 o when five letters picked without replacement from eoooooooooooooooo?", "a": "5/17" }, { "q": "What is prob of picking 2 s, 1 f, 1 r, and 1 w when five letters picked without replacement from wgrfstg?", "a": "0" }, { "q": "What is prob of picking 1 v and 4 g when five letters picked without replacement from vcgvsvgcgcvvvccgvvv?", "a": "1/1292" }, { "q": "Five letters picked without replacement from vqtssstlssstv. Give prob of picking 1 l, 1 q, 2 t, and 1 v.", "a": "2/429" }, { "q": "Calculate prob of picking 4 l and 1 j when five letters picked without replacement from {l: 8, j: 5}.", "a": "350/1287" }, { "q": "What is prob of picking 4 w and 1 f when five letters picked without replacement from {w: 6, f: 5, d: 7}?", "a": "25/2856" }, { "q": "What is prob of picking 3 b and 2 l when five letters picked without replacement from blbbllllblllllllbll?", "a": "455/5814" }, { "q": "Calculate prob of picking 4 k and 1 j when five letters picked without replacement from ggkggjkkkggjkgkg.", "a": "5/728" }, { "q": "What is prob of picking 3 e and 2 v when five letters picked without replacement from eeeeeeeevvee?", "a": "5/33" }, { "q": "What is prob of picking 2 u and 3 s when five letters picked without replacement from uuuuussusuuuuu?", "a": "5/182" }, { "q": "Five letters picked without replacement from eegfpoegyoepggpfepg. What is prob of picking 1 g and 4 y?", "a": "0" }, { "q": "Five letters picked without replacement from {r: 3, i: 3, o: 2, p: 4, j: 2}. What is prob of picking 3 r and 2 p?", "a": "3/1001" }, { "q": "What is prob of picking 1 l and 4 m when five letters picked without replacement from lnmmlmllllmlnllnm?", "a": "45/6188" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from {b: 7, t: 5}?", "a": "1/792" }, { "q": "Calculate prob of picking 2 i and 3 y when five letters picked without replacement from {i: 4, y: 7}.", "a": "5/11" }, { "q": "Five letters picked without replacement from {m: 12, j: 3}. Give prob of picking 2 j and 3 m.", "a": "20/91" }, { "q": "Five letters picked without replacement from ccepcecun. What is prob of picking 2 n, 2 c, and 1 p?", "a": "0" }, { "q": "Calculate prob of picking 2 m and 3 p when five letters picked without replacement from pmpmpppmpmm.", "a": "100/231" }, { "q": "Calculate prob of picking 1 c and 4 w when five letters picked without replacement from {m: 6, o: 1, c: 6, i: 2, a: 2, w: 1}.", "a": "0" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from ddrhhdh?", "a": "0" }, { "q": "What is prob of picking 1 m, 1 k, 1 a, and 2 c when five letters picked without replacement from aacmtmaaackkmm?", "a": "20/1001" }, { "q": "What is prob of picking 2 h, 1 n, 1 s, and 1 r when five letters picked without replacement from {r: 1, n: 2, s: 3, t: 4, h: 6}?", "a": "15/728" }, { "q": "Five letters picked without replacement from rqkrqktqqkqk. Give prob of picking 1 k, 3 q, and 1 r.", "a": "10/99" }, { "q": "Five letters picked without replacement from nqqnnnqqqqqqnqqqqn. Give prob of picking 1 q and 4 n.", "a": "5/238" }, { "q": "What is prob of picking 2 d, 1 p, and 2 g when five letters picked without replacement from {x: 5, d: 3, g: 6, p: 2}?", "a": "15/728" }, { "q": "Five letters picked without replacement from bmimamimaiiaimamaa. What is prob of picking 1 i, 3 m, and 1 a?", "a": "25/357" }, { "q": "Calculate prob of picking 1 e and 4 l when five letters picked without replacement from {e: 6, k: 4, i: 1, f: 1, l: 6, y: 1}.", "a": "5/646" }, { "q": "Five letters picked without replacement from {l: 3, t: 7, z: 5, i: 1}. Give prob of picking 2 t, 1 i, and 2 z.", "a": "5/104" }, { "q": "What is prob of picking 2 s and 3 v when five letters picked without replacement from {v: 6, s: 8}?", "a": "40/143" }, { "q": "Five letters picked without replacement from {f: 4, r: 1, z: 1, e: 2, o: 4, t: 3}. Give prob of picking 1 t, 1 f, 1 z, and 2 e.", "a": "4/1001" }, { "q": "Five letters picked without replacement from vsvvnvqnnvxxnvnnxqnv. What is prob of picking 2 q and 3 x?", "a": "1/15504" }, { "q": "Calculate prob of picking 1 z and 4 e when five letters picked without replacement from zezezeezzz.", "a": "1/42" }, { "q": "Five letters picked without replacement from tttthhhhhttwththth. Give prob of picking 5 h.", "a": "1/153" }, { "q": "Five letters picked without replacement from ikkkyuykiiiyykiuyiy. What is prob of picking 1 u, 1 k, and 3 y?", "a": "50/2907" }, { "q": "Five letters picked without replacement from dtpprtddrpcrpcr. Give prob of picking 1 d and 4 c.", "a": "0" }, { "q": "What is prob of picking 2 u and 3 r when five letters picked without replacement from {u: 8, r: 4}?", "a": "14/99" }, { "q": "Five letters picked without replacement from grcrrcrccrrgrgccsc. What is prob of picking 1 c, 3 g, and 1 s?", "a": "1/1224" }, { "q": "Calculate prob of picking 4 i and 1 w when five letters picked without replacement from iiwwwwiiiwiiiiiw.", "a": "15/52" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from {d: 5, t: 8}?", "a": "56/1287" }, { "q": "Five letters picked without replacement from scnppssscsxp. Give prob of picking 3 s and 2 c.", "a": "5/396" }, { "q": "What is prob of picking 3 q and 2 y when five letters picked without replacement from yyyyyyyqyqyyyyyqyyy?", "a": "10/969" }, { "q": "Five letters picked without replacement from {l: 10, h: 6, x: 4}. Give prob of picking 1 h and 4 l.", "a": "105/1292" }, { "q": "Calculate prob of picking 1 q and 4 p when five letters picked without replacement from {q: 3, v: 2, p: 5, r: 2}.", "a": "5/264" }, { "q": "Five letters picked without replacement from {f: 4, c: 6, o: 3}. Give prob of picking 2 f, 1 o, and 2 c.", "a": "30/143" }, { "q": "What is prob of picking 1 p, 2 e, and 2 d when five letters picked without replacement from {e: 4, t: 3, d: 9, p: 1, y: 3}?", "a": "9/646" }, { "q": "Five letters picked without replacement from aaavvavvavvaaav. What is prob of picking 1 v and 4 a?", "a": "70/429" }, { "q": "Calculate prob of picking 1 x, 2 e, and 2 r when five letters picked without replacement from rgergeegggxgmrgrggx.", "a": "1/323" }, { "q": "Five letters picked without replacement from {d: 10, j: 8}. What is prob of picking 2 d and 3 j?", "a": "5/17" }, { "q": "Five letters picked without replacement from {o: 1, c: 1, j: 1, d: 1, l: 1, z: 1}. Give prob of picking 2 l, 1 j, 1 o, and 1 z.", "a": "0" }, { "q": "Calculate prob of picking 4 g and 1 p when five letters picked without replacement from gaagggbgvgavaaapbvv.", "a": "5/3876" }, { "q": "Five letters picked without replacement from {s: 1, p: 2, e: 11}. Give prob of picking 5 e.", "a": "3/13" }, { "q": "Calculate prob of picking 1 k, 2 i, and 2 f when five letters picked without replacement from ikkifkffi.", "a": "3/14" }, { "q": "Calculate prob of picking 4 a and 1 g when five letters picked without replacement from {a: 10, g: 3}.", "a": "70/143" }, { "q": "Calculate prob of picking 1 b, 1 g, 2 a, and 1 o when five letters picked without replacement from {p: 6, o: 1, g: 2, b: 1, w: 4, a: 2}.", "a": "1/2184" }, { "q": "What is prob of picking 3 w and 2 r when five letters picked without replacement from wwwwwrrwwwrwwwwww?", "a": "3/17" }, { "q": "Five letters picked without replacement from ypddddd. What is prob of picking 3 d and 2 p?", "a": "0" }, { "q": "Calculate prob of picking 1 d, 1 v, 1 j, and 2 e when five letters picked without replacement from {e: 5, i: 1, v: 6, d: 1, j: 3}.", "a": "15/364" }, { "q": "Five letters picked without replacement from eezzzneezzw. Give prob of picking 3 e, 1 w, and 1 z.", "a": "10/231" }, { "q": "Five letters picked without replacement from cctctjnciijccjcot. What is prob of picking 2 t and 3 c?", "a": "15/884" }, { "q": "Calculate prob of picking 3 d and 2 s when five letters picked without replacement from dsddsiiiiididsisi.", "a": "15/1547" }, { "q": "Five letters picked without replacement from {s: 8, f: 10}. What is prob of picking 5 s?", "a": "1/153" }, { "q": "Five letters picked without replacement from {s: 6, b: 2, u: 4, h: 8}. Give prob of picking 4 s and 1 b.", "a": "5/2584" }, { "q": "Calculate prob of picking 3 s and 2 e when five letters picked without replacement from {e: 3, s: 9}.", "a": "7/22" }, { "q": "Calculate prob of picking 2 m, 2 i, and 1 k when five letters picked without replacement from {i: 7, m: 2, l: 6, k: 5}.", "a": "35/5168" }, { "q": "Calculate prob of picking 1 c and 4 y when five letters picked without replacement from oycycyyoc.", "a": "1/42" }, { "q": "What is prob of picking 4 j and 1 f when five letters picked without replacement from ffffjffjfjffjfjf?", "a": "55/4368" }, { "q": "What is prob of picking 1 l and 4 n when five letters picked without replacement from {l: 3, n: 12}?", "a": "45/91" }, { "q": "Five letters picked without replacement from {h: 1, e: 3, p: 2, m: 3, s: 1, d: 4}. Give prob of picking 3 d and 2 e.", "a": "6/1001" }, { "q": "Five letters picked without replacement from ffffvffv. Give prob of picking 5 f.", "a": "3/28" }, { "q": "What is prob of picking 1 e, 1 m, and 3 x when five letters picked without replacement from exmxmxxmxmm?", "a": "25/231" }, { "q": "What is prob of picking 3 q and 2 d when five letters picked without replacement from {d: 2, q: 12}?", "a": "10/91" }, { "q": "Calculate prob of picking 2 b, 1 u, 1 a, and 1 m when five letters picked without replacement from fmuuuuffffubabmuu.", "a": "1/442" }, { "q": "Calculate prob of picking 2 d and 3 x when five letters picked without replacement from xkkxyqxydxykxkokqkxo.", "a": "0" }, { "q": "Five letters picked without replacement from ydbyybyd. What is prob of picking 2 d, 2 y, and 1 b?", "a": "3/14" }, { "q": "What is prob of picking 1 k, 2 h, and 2 z when five letters picked without replacement from {i: 2, h: 10, y: 1, k: 1, z: 2}?", "a": "15/1456" }, { "q": "What is prob of picking 2 b and 3 p when five letters picked without replacement from jjpbejpujjbbej?", "a": "0" }, { "q": "Calculate prob of picking 2 g, 1 a, and 2 r when five letters picked without replacement from {g: 14, r: 3, a: 1}.", "a": "13/408" }, { "q": "Five letters picked without replacement from ofxoxoxoxfokxoooo. What is prob of picking 5 o?", "a": "9/442" }, { "q": "What is prob of picking 1 p and 4 n when five letters picked without replacement from {p: 6, n: 5, s: 4}?", "a": "10/1001" }, { "q": "Five letters picked without replacement from {o: 5, a: 12}. What is prob of picking 4 a and 1 o?", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {t: 2, v: 8, h: 5, g: 1}. Give prob of picking 1 g, 1 h, and 3 v.", "a": "5/78" }, { "q": "Calculate prob of picking 2 m and 3 b when five letters picked without replacement from mbmmbbbmmmmmm.", "a": "16/143" }, { "q": "Five letters picked without replacement from {n: 10, c: 9}. Give prob of picking 4 c and 1 n.", "a": "35/323" }, { "q": "Calculate prob of picking 1 m, 3 b, and 1 e when five letters picked without replacement from gbgdbffmddmeb.", "a": "2/1287" }, { "q": "Calculate prob of picking 3 b and 2 x when five letters picked without replacement from xxbbbx.", "a": "1/2" }, { "q": "Five letters picked without replacement from {g: 6, e: 14}. What is prob of picking 5 g?", "a": "1/2584" }, { "q": "Calculate prob of picking 2 q, 2 i, and 1 n when five letters picked without replacement from {i: 3, n: 2, l: 2, q: 7}.", "a": "9/143" }, { "q": "Five letters picked without replacement from sajxwjwe. Give prob of picking 1 s, 1 x, 1 j, and 2 w.", "a": "1/28" }, { "q": "Five letters picked without replacement from uzpscr. What is prob of picking 1 z, 1 c, 1 u, 1 p, and 1 s?", "a": "1/6" }, { "q": "Five letters picked without replacement from ynaannag. What is prob of picking 3 n, 1 a, and 1 g?", "a": "3/56" }, { "q": "Five letters picked without replacement from {z: 5, p: 3, w: 2}. What is prob of picking 2 z, 2 p, and 1 w?", "a": "5/21" }, { "q": "Calculate prob of picking 1 n and 4 c when five letters picked without replacement from {n: 1, c: 15}.", "a": "5/16" }, { "q": "Calculate prob of picking 2 n and 3 w when five letters picked without replacement from {w: 2, n: 12}.", "a": "0" }, { "q": "Five letters picked without replacement from {n: 6, h: 9}. What is prob of picking 4 n and 1 h?", "a": "45/1001" }, { "q": "Five letters picked without replacement from {u: 1, o: 9, i: 5, e: 1, z: 2}. What is prob of picking 2 i, 2 o, and 1 u?", "a": "5/119" }, { "q": "Five letters picked without replacement from {q: 8, s: 6}. What is prob of picking 5 q?", "a": "4/143" }, { "q": "What is prob of picking 1 m, 1 j, and 3 s when five letters picked without replacement from {p: 1, s: 3, m: 1, j: 6, i: 1}?", "a": "1/132" }, { "q": "Calculate prob of picking 1 o, 1 t, and 3 u when five letters picked without replacement from {j: 6, e: 1, u: 3, c: 3, t: 6, o: 1}.", "a": "1/2584" }, { "q": "What is prob of picking 1 g and 4 x when five letters picked without replacement from xgbggxxgxxxxx?", "a": "280/1287" }, { "q": "What is prob of picking 3 m and 2 i when five letters picked without replacement from iiiiiiimmiimmmiimm?", "a": "275/1224" }, { "q": "What is prob of picking 1 g, 1 n, 1 q, and 2 r when five letters picked without replacement from {r: 6, g: 2, q: 5, n: 5}?", "a": "125/1428" }, { "q": "Calculate prob of picking 3 s, 1 e, and 1 k when five letters picked without replacement from keeesekeksekeskkgsge.", "a": "4/323" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from jjojjoooojoojjoojj?", "a": "1/68" }, { "q": "Five letters picked without replacement from egeeggegegegeg. Give prob of picking 5 e.", "a": "3/286" }, { "q": "Five letters picked without replacement from hqqqqhhhiihqqhiqqhqq. Give prob of picking 1 i and 4 q.", "a": "105/2584" }, { "q": "What is prob of picking 4 c and 1 w when five letters picked without replacement from ccrwcwwcccwcr?", "a": "140/1287" }, { "q": "Calculate prob of picking 2 r, 1 q, 1 i, and 1 h when five letters picked without replacement from {q: 6, r: 3, h: 1, o: 7, i: 1, p: 1}.", "a": "1/646" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from {t: 2, y: 15}.", "a": "33/68" }, { "q": "Calculate prob of picking 2 l and 3 m when five letters picked without replacement from mmmssrlmlmm.", "a": "10/231" }, { "q": "Five letters picked without replacement from {o: 2, a: 4, j: 3, h: 2, u: 1, m: 2}. What is prob of picking 1 m, 2 a, 1 u, and 1 j?", "a": "18/1001" }, { "q": "Five letters picked without replacement from {v: 1, x: 11, c: 4}. Give prob of picking 5 c.", "a": "0" }, { "q": "Five letters picked without replacement from {d: 4, q: 2, u: 6, l: 2, n: 4, y: 1}. Give prob of picking 2 u and 3 n.", "a": "5/969" }, { "q": "Five letters picked without replacement from hxlfrxxhfxfxxfr. Give prob of picking 1 l, 2 f, 1 h, and 1 r.", "a": "8/1001" }, { "q": "What is prob of picking 2 o and 3 l when five letters picked without replacement from olooolool?", "a": "5/42" }, { "q": "Five letters picked without replacement from ccrrnrncncccr. Give prob of picking 4 c and 1 r.", "a": "20/429" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from cccaaaaaaacccac.", "a": "1/143" }, { "q": "Calculate prob of picking 3 p, 1 o, and 1 g when five letters picked without replacement from {o: 3, p: 3, g: 12}.", "a": "1/238" }, { "q": "What is prob of picking 2 t, 2 s, and 1 n when five letters picked without replacement from wtntsiwsiwnnws?", "a": "9/2002" }, { "q": "Five letters picked without replacement from ucuwttuttwwt. What is prob of picking 3 u, 1 t, and 1 c?", "a": "5/792" }, { "q": "Five letters picked without replacement from {s: 2, v: 1, g: 9, k: 5}. Give prob of picking 2 g, 1 s, and 2 k.", "a": "180/1547" }, { "q": "Calculate prob of picking 1 k and 4 e when five letters picked without replacement from {k: 3, e: 11}.", "a": "45/91" }, { "q": "Calculate prob of picking 3 u and 2 c when five letters picked without replacement from {s: 1, c: 5, u: 3, q: 1}.", "a": "5/126" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from tzzzzztzzzzzzzzttzt?", "a": "1001/5814" }, { "q": "Five letters picked without replacement from {q: 9, t: 7, p: 4}. What is prob of picking 3 p and 2 t?", "a": "7/1292" }, { "q": "Calculate prob of picking 1 s and 4 a when five letters picked without replacement from aasassassaaas.", "a": "70/429" }, { "q": "What is prob of picking 1 u, 3 p, and 1 e when five letters picked without replacement from exunxupxeeppxxxueupp?", "a": "10/969" }, { "q": "Calculate prob of picking 2 f, 1 h, 1 o, and 1 k when five letters picked without replacement from kolffglffokkgofoho.", "a": "25/1428" }, { "q": "Five letters picked without replacement from xsxlxxbxlbbbgqxgqbgb. Give prob of picking 2 x, 1 g, and 2 l.", "a": "15/5168" }, { "q": "Five letters picked without replacement from {g: 5, f: 1, u: 14}. What is prob of picking 2 g and 3 u?", "a": "455/1938" }, { "q": "What is prob of picking 3 g and 2 s when five letters picked without replacement from ggsggsggggggg?", "a": "5/39" }, { "q": "Five letters picked without replacement from llmmmllllmlmml. What is prob of picking 5 l?", "a": "4/143" }, { "q": "Five letters picked without replacement from {x: 2, a: 7, s: 5, k: 4}. Give prob of picking 3 a and 2 k.", "a": "5/204" }, { "q": "Five letters picked without replacement from vnbvnmjjbjbvbbmwbjm. Give prob of picking 2 m, 1 w, 1 n, and 1 v.", "a": "1/646" }, { "q": "Five letters picked without replacement from {p: 15, c: 4}. Give prob of picking 1 p and 4 c.", "a": "5/3876" }, { "q": "Calculate prob of picking 1 q, 2 n, and 2 e when five letters picked without replacement from nneeneqeneeneen.", "a": "20/143" }, { "q": "Five letters picked without replacement from mxxmlqxbmmxxqzzbqqm. Give prob of picking 1 q, 3 m, and 1 z.", "a": "20/2907" }, { "q": "What is prob of picking 1 s, 2 o, and 2 v when five letters picked without replacement from zoxvttossv?", "a": "1/126" }, { "q": "Calculate prob of picking 1 t, 1 p, 1 q, and 2 o when five letters picked without replacement from pqtooqsp.", "a": "1/14" }, { "q": "Five letters picked without replacement from {t: 4, p: 2, m: 3, c: 3}. Give prob of picking 3 c and 2 m.", "a": "1/264" }, { "q": "Five letters picked without replacement from {u: 2, r: 2, j: 2, m: 5}. Give prob of picking 1 u and 4 m.", "a": "5/231" }, { "q": "What is prob of picking 1 m and 4 p when five letters picked without replacement from {p: 14, m: 2}?", "a": "11/24" }, { "q": "Calculate prob of picking 2 u, 1 l, 1 z, and 1 w when five letters picked without replacement from {z: 2, l: 6, w: 1, u: 5}.", "a": "60/1001" }, { "q": "Five letters picked without replacement from {o: 3, z: 10, q: 1, y: 3}. Give prob of picking 1 z, 3 o, and 1 y.", "a": "15/3094" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yyyynyyy.", "a": "3/8" }, { "q": "Five letters picked without replacement from aacllvalav. Give prob of picking 4 a and 1 l.", "a": "1/84" }, { "q": "What is prob of picking 1 u and 4 s when five letters picked without replacement from sssssssssssusssssus?", "a": "70/171" }, { "q": "Five letters picked without replacement from {t: 3, q: 1, s: 1, f: 1}. What is prob of picking 3 t, 1 s, and 1 q?", "a": "1/6" }, { "q": "Calculate prob of picking 3 h and 2 k when five letters picked without replacement from {h: 6, k: 6}.", "a": "25/66" }, { "q": "Calculate prob of picking 2 f, 2 c, and 1 v when five letters picked without replacement from {b: 1, v: 1, c: 1, h: 1, f: 1, m: 1}.", "a": "0" }, { "q": "Calculate prob of picking 1 v, 1 n, and 3 i when five letters picked without replacement from llnfivvii.", "a": "1/63" }, { "q": "Five letters picked without replacement from {x: 2, v: 2, i: 6, z: 3}. What is prob of picking 1 v, 2 x, and 2 i?", "a": "10/429" }, { "q": "Five letters picked without replacement from ssvsvsssvvssvsssvvs. What is prob of picking 5 s?", "a": "22/323" }, { "q": "What is prob of picking 3 c and 2 n when five letters picked without replacement from nncccnnn?", "a": "5/28" }, { "q": "Five letters picked without replacement from nnrkbbkmbo. What is prob of picking 2 m and 3 b?", "a": "0" }, { "q": "Five letters picked without replacement from qffqqqfqffffffqffqff. Give prob of picking 4 q and 1 f.", "a": "455/15504" }, { "q": "Five letters picked without replacement from ddgkgukdgkggkkdcggdg. Give prob of picking 1 g and 4 k.", "a": "5/1938" }, { "q": "Five letters picked without replacement from uuuuuuhusuuuh. Give prob of picking 1 s, 2 h, and 2 u.", "a": "5/143" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from mhmmhhmmmghhh.", "a": "2/429" }, { "q": "Five letters picked without replacement from qeeppeeeee. Give prob of picking 4 e and 1 p.", "a": "5/18" }, { "q": "What is prob of picking 1 n and 4 o when five letters picked without replacement from {o: 9, e: 3, n: 4}?", "a": "3/26" }, { "q": "Five letters picked without replacement from ryyryyy. What is prob of picking 5 y?", "a": "1/21" }, { "q": "What is prob of picking 1 c, 1 f, 2 x, and 1 j when five letters picked without replacement from {j: 1, f: 2, y: 6, c: 4, h: 2, x: 3}?", "a": "1/357" }, { "q": "Calculate prob of picking 4 b and 1 i when five letters picked without replacement from bbbbbbbbbibibbbbbbb.", "a": "70/171" }, { "q": "What is prob of picking 3 l, 1 d, and 1 z when five letters picked without replacement from {l: 9, o: 5, d: 2, z: 1}?", "a": "6/221" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from {x: 6, e: 1, n: 2}.", "a": "1/21" }, { "q": "Five letters picked without replacement from mymmrrmmmmmrmmmmsmm. What is prob of picking 3 m and 2 r?", "a": "91/969" }, { "q": "Five letters picked without replacement from {u: 5, v: 2, a: 3}. What is prob of picking 5 u?", "a": "1/252" }, { "q": "Five letters picked without replacement from gjpjgpggpyggypjggg. Give prob of picking 3 g and 2 y.", "a": "1/102" }, { "q": "Five letters picked without replacement from {u: 1, l: 5, j: 3, d: 3, f: 3, m: 3}. What is prob of picking 1 u, 3 d, and 1 j?", "a": "1/2856" }, { "q": "What is prob of picking 2 r, 1 f, and 2 g when five letters picked without replacement from btrgfggtrctfggbgrfcg?", "a": "63/5168" }, { "q": "What is prob of picking 1 j, 3 a, and 1 g when five letters picked without replacement from iaugjagzjaguzggguuuj?", "a": "3/2584" }, { "q": "Calculate prob of picking 1 u, 3 h, and 1 b when five letters picked without replacement from {b: 1, h: 9, u: 6}.", "a": "3/26" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from xeexeexxeeexexexe?", "a": "9/221" }, { "q": "Five letters picked without replacement from kbsbskbbkkbkkksss. What is prob of picking 1 s, 3 k, and 1 b?", "a": "125/884" }, { "q": "What is prob of picking 2 g and 3 r when five letters picked without replacement from rrgrrrrgrrrrrrr?", "a": "2/21" }, { "q": "Calculate prob of picking 1 c, 1 e, and 3 d when five letters picked without replacement from {d: 3, e: 4, c: 4}.", "a": "8/231" }, { "q": "Calculate prob of picking 1 z, 3 g, and 1 e when five letters picked without replacement from zbggzghgeegzzzbg.", "a": "25/546" }, { "q": "What is prob of picking 3 j and 2 i when five letters picked without replacement from {i: 2, j: 16}?", "a": "10/153" }, { "q": "Calculate prob of picking 1 s, 1 o, and 3 r when five letters picked without replacement from rsmommrr.", "a": "1/56" }, { "q": "Calculate prob of picking 2 t, 2 k, and 1 i when five letters picked without replacement from oiootooooooiik.", "a": "0" }, { "q": "Calculate prob of picking 1 q, 1 m, 1 h, and 2 c when five letters picked without replacement from pqcchcmqcqcq.", "a": "5/99" }, { "q": "Calculate prob of picking 2 f and 3 j when five letters picked without replacement from jjjjjjjaajfaffj.", "a": "12/143" }, { "q": "Calculate prob of picking 4 x and 1 r when five letters picked without replacement from {y: 1, x: 6, n: 3, r: 2}.", "a": "5/132" }, { "q": "What is prob of picking 1 l and 4 m when five letters picked without replacement from {i: 1, m: 4, s: 1, l: 5}?", "a": "5/462" }, { "q": "Five letters picked without replacement from oqooyooqoooy. What is prob of picking 3 o and 2 y?", "a": "7/99" }, { "q": "Calculate prob of picking 1 d, 1 r, and 3 k when five letters picked without replacement from {r: 1, d: 5, k: 12}.", "a": "275/2142" }, { "q": "Five letters picked without replacement from {e: 1, x: 2, c: 2, o: 2, t: 1}. What is prob of picking 1 e, 1 t, 1 o, and 2 x?", "a": "1/28" }, { "q": "Five letters picked without replacement from guvgvvvuvuppgougppnu. Give prob of picking 3 v and 2 u.", "a": "25/3876" }, { "q": "Five letters picked without replacement from {k: 1, w: 6, v: 9, x: 1}. Give prob of picking 1 k, 1 x, and 3 v.", "a": "3/221" }, { "q": "What is prob of picking 3 t and 2 s when five letters picked without replacement from {t: 10, s: 6}?", "a": "75/182" }, { "q": "Five letters picked without replacement from rrrrrrrnrnnnr. Give prob of picking 4 r and 1 n.", "a": "56/143" }, { "q": "Five letters picked without replacement from {s: 2, w: 7}. Give prob of picking 5 w.", "a": "1/6" }, { "q": "Five letters picked without replacement from {q: 8, n: 1, j: 3, k: 5}. Give prob of picking 3 k and 2 j.", "a": "15/3094" }, { "q": "Five letters picked without replacement from wbwgwq. Give prob of picking 1 w and 4 q.", "a": "0" }, { "q": "Five letters picked without replacement from vvvaavvavvvvvavavv. What is prob of picking 5 v?", "a": "143/952" }, { "q": "What is prob of picking 2 w, 1 u, and 2 r when five letters picked without replacement from {z: 3, r: 5, w: 3, g: 1, a: 4, u: 1}?", "a": "15/3094" }, { "q": "Five letters picked without replacement from yymmyydyymmymmyyyyyy. Give prob of picking 2 d and 3 y.", "a": "0" }, { "q": "Calculate prob of picking 1 p and 4 u when five letters picked without replacement from uuuwwuwpwp.", "a": "1/126" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from ggggfgggggfg.", "a": "7/22" }, { "q": "Five letters picked without replacement from {t: 7, l: 3, m: 2, j: 3}. What is prob of picking 1 m, 1 t, and 3 j?", "a": "2/429" }, { "q": "Five letters picked without replacement from {m: 2, l: 7, h: 2, x: 4}. Give prob of picking 3 l and 2 x.", "a": "10/143" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from kkssssssks.", "a": "1/12" }, { "q": "What is prob of picking 1 b and 4 f when five letters picked without replacement from ffffffffffbffffffffb?", "a": "15/38" }, { "q": "What is prob of picking 3 g and 2 d when five letters picked without replacement from {g: 5, d: 11}?", "a": "275/2184" }, { "q": "Five letters picked without replacement from nnuunnuununlluunul. Give prob of picking 3 l and 2 u.", "a": "1/306" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from yyynnynnynynyyyyy?", "a": "33/442" }, { "q": "Five letters picked without replacement from gmppwgpgpgggggemg. What is prob of picking 4 g and 1 m?", "a": "9/221" }, { "q": "Five letters picked without replacement from tteeettit. Give prob of picking 3 t and 2 e.", "a": "5/21" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from {v: 1, n: 18}?", "a": "14/19" }, { "q": "Five letters picked without replacement from csrccssscrccsccs. Give prob of picking 3 c and 2 s.", "a": "5/26" }, { "q": "Five letters picked without replacement from {a: 3, e: 1, y: 2, r: 8, f: 1, g: 3}. What is prob of picking 2 y, 1 a, 1 g, and 1 r?", "a": "1/119" }, { "q": "Five letters picked without replacement from {y: 3, v: 4, l: 5, i: 3}. What is prob of picking 3 i and 2 y?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {x: 3, c: 2, h: 6}. Give prob of picking 5 h.", "a": "1/77" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from ccccc?", "a": "1" }, { "q": "Five letters picked without replacement from {j: 4, g: 7, z: 1, h: 3}. Give prob of picking 2 h, 2 g, and 1 j.", "a": "12/143" }, { "q": "Five letters picked without replacement from {z: 1, l: 3, a: 3}. What is prob of picking 3 a and 2 l?", "a": "1/7" }, { "q": "Calculate prob of picking 2 y and 3 p when five letters picked without replacement from {y: 3, p: 10, q: 5}.", "a": "5/119" }, { "q": "Five letters picked without replacement from tphqpqqqeqqqb. What is prob of picking 1 e, 1 t, 2 q, and 1 h?", "a": "7/429" }, { "q": "Five letters picked without replacement from pdmpymdpgpdpp. Give prob of picking 3 p, 1 m, and 1 d.", "a": "40/429" }, { "q": "Five letters picked without replacement from {q: 1, n: 4, h: 1, y: 1, p: 4}. What is prob of picking 1 y, 1 n, 2 p, and 1 h?", "a": "4/77" }, { "q": "Calculate prob of picking 1 p, 1 n, and 3 z when five letters picked without replacement from pzpzpnpznzzz.", "a": "20/99" }, { "q": "Calculate prob of picking 2 t and 3 e when five letters picked without replacement from {t: 4, s: 5, f: 2, e: 4}.", "a": "8/1001" }, { "q": "What is prob of picking 1 k and 4 y when five letters picked without replacement from {k: 4, y: 12}?", "a": "165/364" }, { "q": "What is prob of picking 2 m and 3 o when five letters picked without replacement from {y: 3, h: 1, r: 5, m: 3, o: 7}?", "a": "35/3876" }, { "q": "Five letters picked without replacement from {w: 1, t: 9, k: 2}. Give prob of picking 2 k, 2 t, and 1 w.", "a": "1/22" }, { "q": "Five letters picked without replacement from bbpbppp. What is prob of picking 4 p and 1 b?", "a": "1/7" }, { "q": "What is prob of picking 2 n and 3 c when five letters picked without replacement from {n: 8, c: 6}?", "a": "40/143" }, { "q": "Calculate prob of picking 1 m, 3 i, and 1 r when five letters picked without replacement from {i: 9, m: 2, w: 4, h: 1, r: 1}.", "a": "6/221" }, { "q": "Five letters picked without replacement from {g: 3, z: 4, j: 1, i: 3}. What is prob of picking 1 g, 2 z, 1 i, and 1 j?", "a": "9/77" }, { "q": "Five letters picked without replacement from {u: 3, a: 1, h: 4, y: 6, g: 1, i: 1}. Give prob of picking 1 i, 2 h, 1 a, and 1 u.", "a": "3/728" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from wwwwww.", "a": "1" }, { "q": "Five letters picked without replacement from mbiiimiiiibiiiiibmmb. Give prob of picking 4 m and 1 i.", "a": "1/1292" }, { "q": "What is prob of picking 3 z and 2 e when five letters picked without replacement from {e: 13, z: 4}?", "a": "6/119" }, { "q": "Five letters picked without replacement from {f: 1, k: 7, p: 5, j: 5}. Give prob of picking 1 f, 3 k, and 1 j.", "a": "25/1224" }, { "q": "Calculate prob of picking 2 z, 2 n, and 1 q when five letters picked without replacement from {q: 3, n: 2, p: 2, d: 6, i: 2, z: 2}.", "a": "3/6188" }, { "q": "Calculate prob of picking 1 r, 3 d, and 1 n when five letters picked without replacement from {n: 1, d: 1, i: 1, r: 2}.", "a": "0" }, { "q": "Calculate prob of picking 3 h and 2 r when five letters picked without replacement from rraahrarrrhhhrarrar.", "a": "5/323" }, { "q": "Five letters picked without replacement from {w: 2, o: 11}. Give prob of picking 5 o.", "a": "14/39" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from yuyluyyuauuuaaull.", "a": "3/884" }, { "q": "Five letters picked without replacement from wffmftfwmfmfrffff. Give prob of picking 3 m, 1 r, and 1 f.", "a": "5/3094" }, { "q": "Five letters picked without replacement from mmdmmmdmdddmmddmd. Give prob of picking 4 m and 1 d.", "a": "36/221" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from {q: 4, i: 9}.", "a": "14/143" }, { "q": "What is prob of picking 1 t and 4 k when five letters picked without replacement from kkkkakktktkakktkkkt?", "a": "715/2907" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {v: 6}?", "a": "1" }, { "q": "Five letters picked without replacement from {f: 2, v: 5, x: 1, y: 3}. What is prob of picking 3 v, 1 f, and 1 x?", "a": "10/231" }, { "q": "What is prob of picking 2 e and 3 f when five letters picked without replacement from eefefeeexeeeeeeef?", "a": "3/238" }, { "q": "What is prob of picking 4 v and 1 u when five letters picked without replacement from {v: 10, u: 8}?", "a": "10/51" }, { "q": "Five letters picked without replacement from iiitiittii. What is prob of picking 2 t and 3 i?", "a": "5/12" }, { "q": "What is prob of picking 2 o, 1 m, and 2 a when five letters picked without replacement from {m: 1, p: 2, a: 2, o: 2, q: 1}?", "a": "1/56" }, { "q": "Calculate prob of picking 2 o, 1 b, and 2 f when five letters picked without replacement from ktoofbqobobooofqqqo.", "a": "7/969" }, { "q": "Five letters picked without replacement from {g: 11, o: 8}. Give prob of picking 4 o and 1 g.", "a": "385/5814" }, { "q": "Five letters picked without replacement from gmmeetmteutugyuyeyet. Give prob of picking 4 e and 1 t.", "a": "5/3876" }, { "q": "What is prob of picking 2 r and 3 e when five letters picked without replacement from {r: 4, e: 12, l: 1}?", "a": "330/1547" }, { "q": "What is prob of picking 2 n, 2 u, and 1 j when five letters picked without replacement from {j: 1, e: 2, u: 4, n: 2}?", "a": "1/21" }, { "q": "Five letters picked without replacement from ggmmmggmgmgmg. What is prob of picking 1 m and 4 g?", "a": "70/429" }, { "q": "Calculate prob of picking 1 u, 2 m, 1 e, and 1 o when five letters picked without replacement from {z: 1, e: 1, k: 1, m: 4, o: 3, u: 1}.", "a": "3/77" }, { "q": "What is prob of picking 3 n and 2 w when five letters picked without replacement from nnnnlwnnnnwnlnn?", "a": "5/91" }, { "q": "Calculate prob of picking 2 i and 3 c when five letters picked without replacement from {i: 3, e: 2, k: 1, m: 1, q: 1, c: 5}.", "a": "10/429" }, { "q": "Calculate prob of picking 1 u, 1 b, 1 o, and 2 h when five letters picked without replacement from wbhuuuuuhhhwwhouwwu.", "a": "35/5814" }, { "q": "What is prob of picking 4 r and 1 k when five letters picked without replacement from rrrkrarraarkro?", "a": "10/143" }, { "q": "Calculate prob of picking 1 m and 4 n when five letters picked without replacement from {e: 1, y: 1, n: 6, m: 6, q: 2, l: 2}.", "a": "5/476" }, { "q": "Five letters picked without replacement from srrrzslrszslssslslsr. Give prob of picking 2 l, 2 r, and 1 z.", "a": "5/646" }, { "q": "Five letters picked without replacement from cscusuccusnu. What is prob of picking 1 n, 1 s, 1 u, and 2 c?", "a": "1/11" }, { "q": "Calculate prob of picking 3 p and 2 a when five letters picked without replacement from {a: 2, g: 2, c: 2, v: 1, p: 5}.", "a": "5/396" }, { "q": "Five letters picked without replacement from ccccaccccccaccccaac. Give prob of picking 3 a and 2 c.", "a": "35/969" }, { "q": "Five letters picked without replacement from {j: 1, m: 5}. What is prob of picking 1 j and 4 m?", "a": "5/6" }, { "q": "Calculate prob of picking 1 h, 1 g, 2 y, and 1 t when five letters picked without replacement from hhcggchhythcytht.", "a": "3/364" }, { "q": "Five letters picked without replacement from lyoytyoolylyo. What is prob of picking 2 y, 1 o, and 2 l?", "a": "40/429" }, { "q": "Five letters picked without replacement from {e: 2, m: 1, s: 1, g: 4, c: 8}. Give prob of picking 3 c, 1 m, and 1 s.", "a": "1/78" }, { "q": "Five letters picked without replacement from {o: 8, a: 2}. What is prob of picking 2 a and 3 o?", "a": "2/9" }, { "q": "What is prob of picking 4 q and 1 o when five letters picked without replacement from oqoqoqoooqqo?", "a": "35/792" }, { "q": "Five letters picked without replacement from {y: 2, a: 6, p: 6, r: 2, j: 1, s: 3}. What is prob of picking 1 j, 1 y, 1 r, and 2 s?", "a": "1/1292" }, { "q": "Calculate prob of picking 2 i and 3 u when five letters picked without replacement from riuiuuuu.", "a": "5/28" }, { "q": "What is prob of picking 2 b, 1 l, and 2 z when five letters picked without replacement from {z: 7, l: 1, b: 2}?", "a": "1/12" }, { "q": "What is prob of picking 2 c and 3 x when five letters picked without replacement from nxcngxygcycgxgxn?", "a": "1/364" }, { "q": "Five letters picked without replacement from {r: 4, b: 3, q: 5}. Give prob of picking 1 r, 3 q, and 1 b.", "a": "5/33" }, { "q": "Five letters picked without replacement from {z: 6, t: 1, j: 1}. What is prob of picking 4 z and 1 j?", "a": "15/56" }, { "q": "Calculate prob of picking 2 y and 3 l when five letters picked without replacement from lllyllillilyll.", "a": "60/1001" }, { "q": "What is prob of picking 3 l and 2 e when five letters picked without replacement from {e: 11, l: 6}?", "a": "275/1547" }, { "q": "Five letters picked without replacement from hhhhhhhhnhyhhyh. What is prob of picking 5 n?", "a": "0" }, { "q": "Five letters picked without replacement from rrrrrrrrrzrrrrrzrr. Give prob of picking 5 r.", "a": "26/51" }, { "q": "Five letters picked without replacement from {h: 1, t: 2, z: 1, w: 1}. What is prob of picking 5 h?", "a": "0" }, { "q": "Five letters picked without replacement from {r: 6, l: 11}. Give prob of picking 5 r.", "a": "3/3094" }, { "q": "What is prob of picking 2 a, 1 z, 1 h, and 1 q when five letters picked without replacement from {a: 2, q: 1, x: 2, h: 1, z: 1}?", "a": "1/21" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from {u: 6, c: 7}?", "a": "2/429" }, { "q": "Five letters picked without replacement from {o: 12, r: 4}. What is prob of picking 4 r and 1 o?", "a": "1/364" }, { "q": "Five letters picked without replacement from rinnryrurnint. What is prob of picking 2 r, 1 t, and 2 i?", "a": "2/429" }, { "q": "Five letters picked without replacement from taooaoatzwao. Give prob of picking 1 t, 3 o, and 1 w.", "a": "1/99" }, { "q": "Five letters picked without replacement from ddedde. What is prob of picking 3 d and 2 e?", "a": "2/3" }, { "q": "Five letters picked without replacement from nignnniiggiigingiin. Give prob of picking 2 g, 1 n, and 2 i.", "a": "140/969" }, { "q": "Calculate prob of picking 1 r, 1 d, 2 m, and 1 s when five letters picked without replacement from dmlllrmlclsccdrlc.", "a": "1/1547" }, { "q": "What is prob of picking 2 z, 1 f, and 2 y when five letters picked without replacement from ftzdyzzczctzytzzy?", "a": "9/884" }, { "q": "What is prob of picking 1 e, 2 n, and 2 m when five letters picked without replacement from neetnnmetmmneee?", "a": "36/1001" }, { "q": "Calculate prob of picking 4 c and 1 m when five letters picked without replacement from mmmccmcccmcccm.", "a": "30/143" }, { "q": "Five letters picked without replacement from iixmmiimxmxmx. Give prob of picking 2 m and 3 i.", "a": "40/1287" }, { "q": "Five letters picked without replacement from gzxgggxggxxxz. Give prob of picking 5 x.", "a": "1/1287" }, { "q": "Calculate prob of picking 1 x, 1 u, 1 s, and 2 b when five letters picked without replacement from busulusbxlulxsussub.", "a": "5/323" }, { "q": "Calculate prob of picking 2 h, 1 p, 1 l, and 1 s when five letters picked without replacement from spsphphllps.", "a": "4/77" }, { "q": "What is prob of picking 1 d and 4 w when five letters picked without replacement from {w: 4, d: 5}?", "a": "5/126" }, { "q": "Five letters picked without replacement from zzzzzz. Give prob of picking 5 z.", "a": "1" }, { "q": "Five letters picked without replacement from {l: 3, v: 1, m: 5, u: 2, b: 8}. Give prob of picking 4 m and 1 u.", "a": "5/5814" }, { "q": "Five letters picked without replacement from sysgsyyysyyyyyysgsys. What is prob of picking 1 s, 1 g, and 3 y?", "a": "385/2584" }, { "q": "Five letters picked without replacement from uttefeeeffz. Give prob of picking 1 f, 3 e, and 1 t.", "a": "4/77" }, { "q": "What is prob of picking 3 z and 2 w when five letters picked without replacement from {w: 5, z: 11}?", "a": "275/728" }, { "q": "Calculate prob of picking 2 y, 1 m, 1 n, and 1 p when five letters picked without replacement from {y: 4, k: 1, n: 1, p: 3, m: 2, z: 5}.", "a": "3/364" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from kkfkfkkkkkkkkkf?", "a": "24/91" }, { "q": "Five letters picked without replacement from ffffbppphfbpbpppppb. Give prob of picking 2 b, 2 p, and 1 h.", "a": "6/323" }, { "q": "What is prob of picking 2 l, 2 b, and 1 v when five letters picked without replacement from {b: 3, v: 2, l: 4}?", "a": "2/7" }, { "q": "Five letters picked without replacement from {k: 11, l: 9}. Give prob of picking 5 k.", "a": "77/2584" }, { "q": "Calculate prob of picking 2 u, 1 s, 1 t, and 1 r when five letters picked without replacement from tztzsttzrurtu.", "a": "10/1287" }, { "q": "Five letters picked without replacement from {t: 6, m: 4, v: 4, x: 3}. What is prob of picking 1 t, 2 v, 1 x, and 1 m?", "a": "108/1547" }, { "q": "Five letters picked without replacement from {i: 8, z: 9}. What is prob of picking 3 z and 2 i?", "a": "84/221" }, { "q": "Five letters picked without replacement from llllllllllllllwlllww. What is prob of picking 5 l?", "a": "91/228" }, { "q": "Five letters picked without replacement from yunat. Give prob of picking 4 u and 1 y.", "a": "0" }, { "q": "Calculate prob of picking 4 p and 1 b when five letters picked without replacement from {b: 1, p: 7}.", "a": "5/8" }, { "q": "Five letters picked without replacement from {l: 1, d: 3, o: 3, t: 1}. Give prob of picking 3 d, 1 l, and 1 o.", "a": "3/56" }, { "q": "Five letters picked without replacement from {j: 14, n: 1}. What is prob of picking 5 n?", "a": "0" }, { "q": "Five letters picked without replacement from {o: 5, z: 3, l: 2, x: 2, n: 3, i: 5}. What is prob of picking 1 l, 1 x, and 3 i?", "a": "5/1938" }, { "q": "Five letters picked without replacement from knywbywnybnyk. Give prob of picking 2 y, 1 k, and 2 w.", "a": "4/429" }, { "q": "Five letters picked without replacement from kekkeekkkeeekeeekek. What is prob of picking 5 e?", "a": "7/323" }, { "q": "What is prob of picking 1 s and 4 c when five letters picked without replacement from sjssscsccscssjjcjjsj?", "a": "15/5168" }, { "q": "What is prob of picking 2 k, 2 d, and 1 m when five letters picked without replacement from {d: 4, m: 6, k: 6}?", "a": "45/364" }, { "q": "Five letters picked without replacement from {v: 5, w: 4, q: 7}. What is prob of picking 5 q?", "a": "1/208" }, { "q": "What is prob of picking 2 k, 1 o, and 2 s when five letters picked without replacement from sskokooo?", "a": "1/14" }, { "q": "Five letters picked without replacement from wwwwvwwwv. Give prob of picking 5 w.", "a": "1/6" }, { "q": "Five letters picked without replacement from {a: 5, w: 14}. Give prob of picking 5 w.", "a": "1001/5814" }, { "q": "Five letters picked without replacement from {r: 5, m: 7}. What is prob of picking 3 m and 2 r?", "a": "175/396" }, { "q": "Five letters picked without replacement from {z: 6, u: 7}. Give prob of picking 5 z.", "a": "2/429" }, { "q": "Calculate prob of picking 1 y, 2 z, and 2 x when five letters picked without replacement from xxyzyzxyyzxyz.", "a": "20/143" }, { "q": "Five letters picked without replacement from {i: 4, h: 1, b: 4, v: 8, t: 1}. What is prob of picking 3 i, 1 b, and 1 v?", "a": "16/1071" }, { "q": "Calculate prob of picking 4 k and 1 g when five letters picked without replacement from {p: 3, g: 9, k: 6}.", "a": "15/952" }, { "q": "Five letters picked without replacement from {u: 1, t: 1, e: 4, i: 1, l: 4, d: 1}. What is prob of picking 4 l and 1 i?", "a": "1/792" }, { "q": "Calculate prob of picking 2 z and 3 y when five letters picked without replacement from assyyssyzz.", "a": "1/252" }, { "q": "Five letters picked without replacement from aaadcceda. What is prob of picking 1 c and 4 d?", "a": "0" }, { "q": "Five letters picked without replacement from {t: 6, j: 8}. What is prob of picking 3 j and 2 t?", "a": "60/143" }, { "q": "Five letters picked without replacement from {p: 4, f: 12}. Give prob of picking 4 p and 1 f.", "a": "1/364" }, { "q": "Five letters picked without replacement from zlwwlcl. What is prob of picking 1 z, 1 c, and 3 l?", "a": "1/21" }, { "q": "Five letters picked without replacement from {f: 13, k: 5, c: 2}. Give prob of picking 3 f, 1 c, and 1 k.", "a": "715/3876" }, { "q": "Five letters picked without replacement from naaxxxxxcxaxxaxx. What is prob of picking 1 n and 4 x?", "a": "5/104" }, { "q": "What is prob of picking 1 p, 3 u, and 1 l when five letters picked without replacement from {p: 2, l: 5, u: 13}?", "a": "715/3876" }, { "q": "Five letters picked without replacement from ejjejjjjeejeejjejej. Give prob of picking 2 j and 3 e.", "a": "770/2907" }, { "q": "Five letters picked without replacement from {z: 1, r: 1, j: 5, s: 4}. What is prob of picking 2 j, 2 s, and 1 r?", "a": "10/77" }, { "q": "Calculate prob of picking 2 k, 2 f, and 1 z when five letters picked without replacement from fkkkkkfyzkk.", "a": "1/22" }, { "q": "Five letters picked without replacement from {p: 1, i: 1, j: 3, v: 1, l: 1, g: 1}. What is prob of picking 5 g?", "a": "0" }, { "q": "Five letters picked without replacement from jtubutssst. Give prob of picking 2 u and 3 s.", "a": "1/252" }, { "q": "Calculate prob of picking 1 a, 1 z, 1 h, and 2 m when five letters picked without replacement from {y: 1, m: 8, z: 3, h: 4, a: 3, f: 1}.", "a": "21/323" }, { "q": "Five letters picked without replacement from lorqoooooloottqll. Give prob of picking 1 q, 2 t, 1 r, and 1 l.", "a": "2/1547" }, { "q": "Calculate prob of picking 1 p, 1 m, and 3 b when five letters picked without replacement from {m: 6, b: 6, p: 2}.", "a": "120/1001" }, { "q": "Five letters picked without replacement from {k: 1, n: 3, r: 2}. Give prob of picking 3 n and 2 r.", "a": "1/6" }, { "q": "Five letters picked without replacement from {i: 9, c: 4, o: 5}. Give prob of picking 1 o and 4 c.", "a": "5/8568" }, { "q": "What is prob of picking 4 l and 1 c when five letters picked without replacement from {w: 3, d: 2, o: 1, l: 1, c: 1}?", "a": "0" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from {w: 5, y: 13}?", "a": "143/952" }, { "q": "What is prob of picking 1 n, 2 b, and 2 p when five letters picked without replacement from uubnpeebueunbepenbub?", "a": "5/2584" }, { "q": "What is prob of picking 2 b, 1 r, 1 j, and 1 e when five letters picked without replacement from {e: 1, r: 8, j: 4, m: 3, b: 4}?", "a": "4/323" }, { "q": "Calculate prob of picking 1 t and 4 y when five letters picked without replacement from yyyttttttyy.", "a": "5/77" }, { "q": "Five letters picked without replacement from ngngnbgcgnpbpcn. What is prob of picking 2 g, 2 n, and 1 b?", "a": "40/1001" }, { "q": "What is prob of picking 3 v and 2 b when five letters picked without replacement from vbvvvbbbbbvvbvbv?", "a": "14/39" }, { "q": "What is prob of picking 2 b and 3 z when five letters picked without replacement from bbbbbzbzbbbzbbbz?", "a": "11/182" }, { "q": "Five letters picked without replacement from wodwdwowuwowwu. What is prob of picking 3 w and 2 u?", "a": "5/286" }, { "q": "Five letters picked without replacement from {j: 1, m: 3, y: 3, p: 2, d: 3, n: 2}. What is prob of picking 2 d, 1 p, and 2 n?", "a": "3/1001" }, { "q": "Five letters picked without replacement from ppzpzzzppzzzzzppp. Give prob of picking 3 p and 2 z.", "a": "72/221" }, { "q": "Calculate prob of picking 2 z and 3 t when five letters picked without replacement from dtzzdddtdduttdzz.", "a": "1/182" }, { "q": "Calculate prob of picking 4 k and 1 c when five letters picked without replacement from {u: 2, k: 4, c: 2}.", "a": "1/28" }, { "q": "Calculate prob of picking 1 x, 2 v, 1 c, and 1 r when five letters picked without replacement from {a: 2, x: 3, v: 2, e: 6, r: 3, c: 4}.", "a": "3/1292" }, { "q": "What is prob of picking 1 x, 3 q, and 1 u when five letters picked without replacement from uuxxuuqxqqxqqxuq?", "a": "125/1092" }, { "q": "What is prob of picking 2 b, 1 w, and 2 k when five letters picked without replacement from zwkwcwwzbwfzzbzkwwz?", "a": "7/11628" }, { "q": "Calculate prob of picking 3 t and 2 r when five letters picked without replacement from rrrrtrrrtrrrt.", "a": "5/143" }, { "q": "Five letters picked without replacement from {s: 7, i: 12}. What is prob of picking 4 i and 1 s?", "a": "385/1292" }, { "q": "Calculate prob of picking 1 k and 4 e when five letters picked without replacement from leeeeelleekell.", "a": "5/143" }, { "q": "Five letters picked without replacement from fgffgggfggfg. What is prob of picking 5 g?", "a": "7/264" }, { "q": "What is prob of picking 3 u, 1 j, and 1 g when five letters picked without replacement from {r: 2, g: 2, c: 7, j: 4, u: 5}?", "a": "5/969" }, { "q": "Five letters picked without replacement from {m: 13, i: 3}. Give prob of picking 5 m.", "a": "33/112" }, { "q": "Five letters picked without replacement from {j: 1, c: 7, s: 8, v: 1, y: 3}. What is prob of picking 2 s, 1 y, 1 j, and 1 v?", "a": "7/1292" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from {t: 7, w: 3, r: 2}?", "a": "7/264" }, { "q": "Five letters picked without replacement from {q: 1, e: 13}. What is prob of picking 5 e?", "a": "9/14" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from pipiippppipippppp.", "a": "198/1547" }, { "q": "What is prob of picking 1 h, 2 u, and 2 t when five letters picked without replacement from ukuuuwukwuktukuth?", "a": "1/221" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from oxxooxoxxxxxxoxxxooo.", "a": "33/646" }, { "q": "What is prob of picking 1 g and 4 m when five letters picked without replacement from {g: 2, m: 13}?", "a": "10/21" }, { "q": "Five letters picked without replacement from qqqbbqqbqbqqbb. Give prob of picking 2 b and 3 q.", "a": "60/143" }, { "q": "Five letters picked without replacement from {k: 1, g: 1, e: 4, s: 3, i: 3, r: 8}. What is prob of picking 1 g, 3 r, and 1 k?", "a": "7/1938" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from yyyyyyyyy?", "a": "1" }, { "q": "What is prob of picking 1 m, 2 x, and 2 j when five letters picked without replacement from xbobxojbjmmxoo?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {i: 4, x: 1, b: 2, o: 5, a: 3, q: 1}. What is prob of picking 1 i, 1 b, 2 a, and 1 q?", "a": "1/182" }, { "q": "Five letters picked without replacement from fssfksfuuukkkkusuu. What is prob of picking 1 s, 2 f, and 2 k?", "a": "5/357" }, { "q": "Calculate prob of picking 1 f, 1 j, 1 x, and 2 n when five letters picked without replacement from {j: 1, b: 4, n: 8, f: 1, x: 3, w: 2}.", "a": "7/969" }, { "q": "Five letters picked without replacement from viviviiiiiiiii. Give prob of picking 2 i and 3 v.", "a": "5/182" }, { "q": "What is prob of picking 3 a and 2 x when five letters picked without replacement from waxwwwxwwwawwxxax?", "a": "5/3094" }, { "q": "What is prob of picking 4 n and 1 h when five letters picked without replacement from lgggngglgggnnhgnlggl?", "a": "1/15504" }, { "q": "Calculate prob of picking 1 f, 3 j, and 1 b when five letters picked without replacement from {f: 4, j: 4, q: 5, b: 7}.", "a": "7/969" }, { "q": "What is prob of picking 2 m, 1 l, 1 b, and 1 n when five letters picked without replacement from {m: 2, l: 1, b: 1, n: 3}?", "a": "1/7" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from pppppy.", "a": "1/6" }, { "q": "Five letters picked without replacement from xdxddr. Give prob of picking 2 x and 3 d.", "a": "1/6" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from issvssisssiisisssss.", "a": "1/11628" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from {h: 8, c: 2, b: 6}?", "a": "1/78" }, { "q": "Five letters picked without replacement from {a: 2, b: 2, g: 7, q: 6, x: 2, s: 1}. What is prob of picking 1 x, 2 q, and 2 a?", "a": "5/2584" }, { "q": "Five letters picked without replacement from rnrmrmrmyhmmrmhrr. What is prob of picking 2 h, 1 n, and 2 r?", "a": "3/884" }, { "q": "Five letters picked without replacement from xxvxxxxxxxxxxvx. What is prob of picking 3 x and 2 v?", "a": "2/21" }, { "q": "Calculate prob of picking 1 i, 3 l, and 1 d when five letters picked without replacement from {i: 4, l: 5, d: 3, m: 1, r: 5}.", "a": "5/357" }, { "q": "Five letters picked without replacement from boofbofbof. What is prob of picking 3 f, 1 o, and 1 b?", "a": "1/21" }, { "q": "Five letters picked without replacement from {j: 3, z: 13, q: 3}. Give prob of picking 3 q and 2 j.", "a": "1/3876" }, { "q": "Five letters picked without replacement from agkgaakgkgakggggggkg. Give prob of picking 1 a, 2 k, and 2 g.", "a": "275/1938" }, { "q": "Five letters picked without replacement from {r: 1, i: 4, j: 2, f: 1, v: 1}. What is prob of picking 1 r, 1 v, 1 i, and 2 j?", "a": "2/63" }, { "q": "Five letters picked without replacement from xyxxxcyxxyxxcxxxxy. Give prob of picking 2 y and 3 x.", "a": "55/357" }, { "q": "Five letters picked without replacement from {a: 8, n: 11}. What is prob of picking 3 a and 2 n?", "a": "770/2907" }, { "q": "Five letters picked without replacement from {v: 1, s: 3, d: 3, i: 1, e: 2}. Give prob of picking 3 s, 1 d, and 1 v.", "a": "1/84" }, { "q": "Calculate prob of picking 3 t and 2 f when five letters picked without replacement from tffffftttkfft.", "a": "70/429" }, { "q": "What is prob of picking 1 u and 4 y when five letters picked without replacement from uuyuuuyu?", "a": "0" }, { "q": "Five letters picked without replacement from {a: 5, h: 6, s: 2}. Give prob of picking 5 a.", "a": "1/1287" }, { "q": "Five letters picked without replacement from gkgkkgkkkkkkkkgkkkg. What is prob of picking 3 k and 2 g?", "a": "910/2907" }, { "q": "Calculate prob of picking 1 y, 2 m, and 2 j when five letters picked without replacement from mypdmjjpqmpmm.", "a": "10/1287" }, { "q": "Five letters picked without replacement from {o: 6, s: 2, b: 5, y: 1, g: 3, a: 1}. What is prob of picking 1 y, 1 a, 1 s, and 2 b?", "a": "5/2142" }, { "q": "Calculate prob of picking 2 l, 1 m, and 2 f when five letters picked without replacement from eellheelfmedflmle.", "a": "5/1547" }, { "q": "What is prob of picking 3 q, 1 y, and 1 j when five letters picked without replacement from qjqqqqqyq?", "a": "5/18" }, { "q": "Calculate prob of picking 2 y and 3 f when five letters picked without replacement from yffynf.", "a": "1/6" }, { "q": "Five letters picked without replacement from {k: 8, z: 5}. What is prob of picking 1 k and 4 z?", "a": "40/1287" }, { "q": "Five letters picked without replacement from xxpbsfxbfpxkxkxpp. What is prob of picking 4 x and 1 p?", "a": "15/1547" }, { "q": "Five letters picked without replacement from {n: 11, p: 8}. Give prob of picking 1 n and 4 p.", "a": "385/5814" }, { "q": "Five letters picked without replacement from {p: 1, v: 2, a: 7, b: 3, d: 5}. Give prob of picking 1 v and 4 a.", "a": "5/612" }, { "q": "What is prob of picking 4 v and 1 l when five letters picked without replacement from vlffvxxvxfxgmvfmvlxx?", "a": "5/7752" }, { "q": "Five letters picked without replacement from {y: 3, j: 1, o: 6, r: 2, p: 3, d: 2}. What is prob of picking 2 r, 1 o, and 2 y?", "a": "9/3094" }, { "q": "Five letters picked without replacement from qmbmpqbbqmq. What is prob of picking 1 q, 1 m, and 3 b?", "a": "2/77" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from kkkgozkzzkkkokk.", "a": "0" }, { "q": "Five letters picked without replacement from wowzlwwowzzoozwzlzww. What is prob of picking 1 w, 1 l, 1 o, and 2 z?", "a": "20/323" }, { "q": "Five letters picked without replacement from kktfkftttkvf. Give prob of picking 2 f, 2 t, and 1 k.", "a": "1/11" }, { "q": "Five letters picked without replacement from {h: 4, x: 1, p: 15}. What is prob of picking 2 p and 3 h?", "a": "35/1292" }, { "q": "Calculate prob of picking 1 r, 2 f, 1 j, and 1 y when five letters picked without replacement from {r: 1, y: 1, h: 5, j: 7, f: 3}.", "a": "3/884" }, { "q": "Five letters picked without replacement from gqmuryqgquqqq. Give prob of picking 1 r, 1 m, 1 u, and 2 g.", "a": "2/1287" }, { "q": "Calculate prob of picking 1 s and 4 g when five letters picked without replacement from sgdgsggdgggdggsgogo.", "a": "55/646" }, { "q": "What is prob of picking 1 r, 2 i, and 2 b when five letters picked without replacement from {r: 9, b: 3, i: 6}?", "a": "45/952" }, { "q": "Five letters picked without replacement from ndalldlldaballabgnll. Give prob of picking 1 d and 4 l.", "a": "35/2584" }, { "q": "Calculate prob of picking 3 j and 2 w when five letters picked without replacement from ddadjwaaaddjjjdw.", "a": "1/1092" }, { "q": "Calculate prob of picking 3 r and 2 g when five letters picked without replacement from rgggggggrgggrlg.", "a": "5/273" }, { "q": "Five letters picked without replacement from xoxoxxxoxxxxxxooxxo. Give prob of picking 5 x.", "a": "143/1292" }, { "q": "Five letters picked without replacement from {d: 6, n: 3, j: 2, r: 5}. Give prob of picking 1 r, 3 d, and 1 n.", "a": "25/364" }, { "q": "Five letters picked without replacement from {a: 1, w: 6, v: 5, m: 3, i: 2, h: 3}. What is prob of picking 3 v and 2 h?", "a": "5/2584" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from {i: 1, b: 18}?", "a": "14/19" }, { "q": "Calculate prob of picking 4 v and 1 j when five letters picked without replacement from {v: 4, j: 6}.", "a": "1/42" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from wwwxww.", "a": "1/6" }, { "q": "Calculate prob of picking 1 d, 1 g, 2 f, and 1 a when five letters picked without replacement from {g: 3, a: 4, d: 1, f: 12}.", "a": "33/646" }, { "q": "Calculate prob of picking 2 m, 2 e, and 1 k when five letters picked without replacement from eeueuummueueekee.", "a": "1/156" }, { "q": "Five letters picked without replacement from bissbiibb. Give prob of picking 3 b and 2 s.", "a": "2/63" }, { "q": "Calculate prob of picking 1 l, 3 e, and 1 z when five letters picked without replacement from {z: 1, q: 2, l: 4, e: 3, i: 1, p: 6}.", "a": "1/1547" }, { "q": "What is prob of picking 1 t, 3 f, and 1 o when five letters picked without replacement from {t: 2, n: 1, f: 3, c: 2, o: 3, m: 3}?", "a": "3/1001" }, { "q": "Calculate prob of picking 1 j and 4 a when five letters picked without replacement from pajpaaapa.", "a": "5/126" }, { "q": "What is prob of picking 4 o and 1 v when five letters picked without replacement from {o: 7, v: 3}?", "a": "5/12" }, { "q": "What is prob of picking 2 w and 3 u when five letters picked without replacement from {w: 9, u: 9}?", "a": "6/17" }, { "q": "Calculate prob of picking 1 i, 1 g, and 3 s when five letters picked without replacement from ggssississsggsgi.", "a": "5/26" }, { "q": "Calculate prob of picking 3 q, 1 y, and 1 b when five letters picked without replacement from {y: 1, b: 3, q: 3}.", "a": "1/7" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from lllcylllllcllcl.", "a": "2/13" }, { "q": "Five letters picked without replacement from zbbbsbbbbszsbzbzzbb. What is prob of picking 1 z and 4 b?", "a": "275/1938" }, { "q": "Calculate prob of picking 1 j, 2 q, and 2 m when five letters picked without replacement from mqmmpqjmzmzv.", "a": "5/396" }, { "q": "What is prob of picking 1 p and 4 k when five letters picked without replacement from {k: 5, p: 1}?", "a": "5/6" }, { "q": "Calculate prob of picking 4 b and 1 g when five letters picked without replacement from {g: 1, b: 10}.", "a": "5/11" }, { "q": "Five letters picked without replacement from pzbbzzbxvbbbppxzzzz. What is prob of picking 2 z and 3 p?", "a": "7/3876" }, { "q": "Five letters picked without replacement from {u: 1, b: 9}. Give prob of picking 5 b.", "a": "1/2" }, { "q": "Calculate prob of picking 1 g, 2 d, and 2 e when five letters picked without replacement from {g: 5, e: 7, d: 5}.", "a": "75/442" }, { "q": "Calculate prob of picking 1 y and 4 d when five letters picked without replacement from {d: 6, y: 3, s: 10}.", "a": "5/1292" }, { "q": "What is prob of picking 4 x and 1 l when five letters picked without replacement from lxxaxallaxlllaxl?", "a": "5/624" }, { "q": "Five letters picked without replacement from {k: 8, e: 8}. Give prob of picking 5 k.", "a": "1/78" }, { "q": "Five letters picked without replacement from qqddqddqqydd. Give prob of picking 3 q and 2 d.", "a": "25/132" }, { "q": "Five letters picked without replacement from vvtbpvvbpbbvpvopp. What is prob of picking 1 o, 1 b, 1 t, and 2 v?", "a": "15/1547" }, { "q": "Five letters picked without replacement from uobggogbogsr. Give prob of picking 1 r, 1 s, 2 o, and 1 b.", "a": "1/132" }, { "q": "Five letters picked without replacement from {j: 7, v: 5}. Give prob of picking 4 j and 1 v.", "a": "175/792" }, { "q": "Five letters picked without replacement from kkkkkkkk. What is prob of picking 5 k?", "a": "1" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 8, e: 5}.", "a": "56/1287" }, { "q": "What is prob of picking 4 c and 1 b when five letters picked without replacement from bcycczc?", "a": "1/21" }, { "q": "Five letters picked without replacement from {b: 8, m: 4}. Give prob of picking 3 m and 2 b.", "a": "14/99" }, { "q": "Calculate prob of picking 4 q and 1 v when five letters picked without replacement from {q: 4, v: 3}.", "a": "1/7" }, { "q": "What is prob of picking 2 c, 2 r, and 1 s when five letters picked without replacement from {l: 2, z: 1, c: 2, s: 2, r: 9, i: 2}?", "a": "1/119" }, { "q": "Calculate prob of picking 1 w and 4 r when five letters picked without replacement from {w: 3, r: 4}.", "a": "1/7" }, { "q": "Five letters picked without replacement from {z: 2, r: 5, y: 10}. What is prob of picking 3 r and 2 y?", "a": "225/3094" }, { "q": "Five letters picked without replacement from {g: 2, w: 12}. Give prob of picking 1 w and 4 g.", "a": "0" }, { "q": "Five letters picked without replacement from {o: 1, j: 3, c: 14}. Give prob of picking 3 j and 2 c.", "a": "13/1224" }, { "q": "Five letters picked without replacement from tntnnnnnnnnt. Give prob of picking 4 n and 1 t.", "a": "21/44" }, { "q": "What is prob of picking 4 j and 1 g when five letters picked without replacement from jxgtnjttxxsjjstxtsjx?", "a": "5/15504" }, { "q": "Five letters picked without replacement from zzzzdzzzzzzz. Give prob of picking 1 d and 4 z.", "a": "5/12" }, { "q": "What is prob of picking 1 s, 1 x, 2 l, and 1 t when five letters picked without replacement from {x: 1, b: 1, s: 4, t: 1, v: 6, l: 2}?", "a": "4/3003" }, { "q": "Calculate prob of picking 2 l, 2 t, and 1 w when five letters picked without replacement from wwtltwlsthllltlhslx.", "a": "21/646" }, { "q": "What is prob of picking 1 j and 4 s when five letters picked without replacement from {s: 2, h: 1, j: 1, y: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from sififfeiifeeyi. Give prob of picking 1 f, 2 e, and 2 i.", "a": "60/1001" }, { "q": "Calculate prob of picking 1 t and 4 z when five letters picked without replacement from zztftftzzzf.", "a": "5/154" }, { "q": "Calculate prob of picking 1 b, 3 l, and 1 h when five letters picked without replacement from flsifhlfssliffsissb.", "a": "1/11628" }, { "q": "Five letters picked without replacement from lllllk. Give prob of picking 4 l and 1 k.", "a": "5/6" }, { "q": "Five letters picked without replacement from {t: 5, l: 12}. What is prob of picking 3 l and 2 t?", "a": "550/1547" }, { "q": "Five letters picked without replacement from {e: 8, i: 3}. Give prob of picking 2 i and 3 e.", "a": "4/11" }, { "q": "Five letters picked without replacement from chachicciyyhyhci. What is prob of picking 3 i and 2 y?", "a": "1/1456" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {f: 2, y: 1, k: 5}?", "a": "0" }, { "q": "Calculate prob of picking 2 e and 3 x when five letters picked without replacement from {x: 8, e: 9}.", "a": "72/221" }, { "q": "Five letters picked without replacement from {e: 2, l: 13, j: 4}. What is prob of picking 2 e, 1 j, and 2 l?", "a": "26/969" }, { "q": "Five letters picked without replacement from rrurrvrtrrtrt. What is prob of picking 3 t and 2 r?", "a": "28/1287" }, { "q": "Five letters picked without replacement from {x: 1, p: 2, g: 2, r: 2}. What is prob of picking 1 x, 1 g, 1 r, and 2 p?", "a": "4/21" }, { "q": "Five letters picked without replacement from mummummuummumum. What is prob of picking 2 m and 3 u?", "a": "240/1001" }, { "q": "Five letters picked without replacement from uuuuuuucuucuuuuucccu. What is prob of picking 2 c and 3 u?", "a": "2275/7752" }, { "q": "Calculate prob of picking 2 n, 1 y, 1 q, and 1 i when five letters picked without replacement from {z: 2, q: 5, y: 2, i: 3, f: 3, n: 3}.", "a": "5/476" }, { "q": "What is prob of picking 2 h and 3 t when five letters picked without replacement from hhhhthhhhhhhthth?", "a": "1/56" }, { "q": "Five letters picked without replacement from {r: 4, t: 15}. What is prob of picking 2 t and 3 r?", "a": "35/969" }, { "q": "Five letters picked without replacement from {a: 2, s: 1, v: 13}. What is prob of picking 1 s and 4 v?", "a": "55/336" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {h: 4, m: 13, z: 2}?", "a": "143/1292" }, { "q": "Calculate prob of picking 4 l and 1 i when five letters picked without replacement from {i: 1, l: 16}.", "a": "5/17" }, { "q": "Five letters picked without replacement from {k: 2, h: 1, x: 7}. Give prob of picking 2 k and 3 x.", "a": "5/36" }, { "q": "Calculate prob of picking 2 b and 3 o when five letters picked without replacement from obobbob.", "a": "2/7" }, { "q": "Five letters picked without replacement from okrkdrrrrrk. What is prob of picking 2 r, 1 o, and 2 k?", "a": "15/154" }, { "q": "Calculate prob of picking 1 l, 1 w, and 3 v when five letters picked without replacement from vvlwlwwvvnl.", "a": "6/77" }, { "q": "Calculate prob of picking 2 q, 1 n, 1 h, and 1 i when five letters picked without replacement from hqqqgnqi.", "a": "3/28" }, { "q": "What is prob of picking 1 j and 4 q when five letters picked without replacement from {j: 16, q: 3}?", "a": "0" }, { "q": "Five letters picked without replacement from {r: 4, m: 1, j: 2, g: 5, o: 1, s: 3}. Give prob of picking 2 j, 1 r, 1 s, and 1 o.", "a": "1/364" }, { "q": "Calculate prob of picking 2 g and 3 c when five letters picked without replacement from {g: 3, c: 15}.", "a": "65/408" }, { "q": "Five letters picked without replacement from {s: 2, c: 15}. What is prob of picking 2 s and 3 c?", "a": "5/68" }, { "q": "Calculate prob of picking 2 d, 2 s, and 1 k when five letters picked without replacement from sddlodlkkddolsskks.", "a": "10/357" }, { "q": "What is prob of picking 1 y and 4 n when five letters picked without replacement from yyyyynnynynynyn?", "a": "45/1001" }, { "q": "What is prob of picking 1 w, 1 a, and 3 f when five letters picked without replacement from affafcffwafiacii?", "a": "5/273" }, { "q": "Five letters picked without replacement from gggngggnnnnnngnnng. Give prob of picking 3 n and 2 g.", "a": "20/51" }, { "q": "Five letters picked without replacement from {b: 7, u: 3}. Give prob of picking 5 b.", "a": "1/12" }, { "q": "Five letters picked without replacement from {w: 2, b: 4, s: 2, g: 5, x: 5}. Give prob of picking 1 s, 2 x, 1 b, and 1 w.", "a": "20/1071" }, { "q": "Five letters picked without replacement from {o: 2, n: 1, a: 1, e: 2, d: 3}. Give prob of picking 2 d, 2 e, and 1 a.", "a": "1/42" }, { "q": "What is prob of picking 1 x, 3 s, and 1 m when five letters picked without replacement from ssxmssxxsx?", "a": "10/63" }, { "q": "Five letters picked without replacement from zzzzzx. What is prob of picking 5 z?", "a": "1/6" }, { "q": "Five letters picked without replacement from {c: 5, n: 8, y: 3}. Give prob of picking 2 n, 1 y, and 2 c.", "a": "5/26" }, { "q": "What is prob of picking 1 e, 1 r, and 3 m when five letters picked without replacement from {m: 4, l: 4, e: 1, v: 3, r: 1, x: 2}?", "a": "4/3003" }, { "q": "Calculate prob of picking 2 w and 3 y when five letters picked without replacement from {y: 4, w: 6}.", "a": "5/21" }, { "q": "Calculate prob of picking 1 i, 2 v, and 2 j when five letters picked without replacement from jjjjjjjjjivijvvj.", "a": "55/728" }, { "q": "Five letters picked without replacement from {l: 6, j: 4}. What is prob of picking 3 j and 2 l?", "a": "5/21" }, { "q": "Calculate prob of picking 1 q, 1 r, 2 j, and 1 e when five letters picked without replacement from jearjjeejjrjvrrqjjej.", "a": "12/323" }, { "q": "Calculate prob of picking 2 v, 1 b, and 2 o when five letters picked without replacement from {v: 1, a: 4, k: 4, o: 1, b: 1}.", "a": "0" }, { "q": "Calculate prob of picking 3 b and 2 a when five letters picked without replacement from atbatbttttatattb.", "a": "1/728" }, { "q": "Five letters picked without replacement from iiiiiiin. Give prob of picking 5 i.", "a": "3/8" }, { "q": "Five letters picked without replacement from {i: 1, k: 3, o: 1, t: 3, l: 2}. Give prob of picking 3 t, 1 i, and 1 k.", "a": "1/84" }, { "q": "Five letters picked without replacement from {g: 1, n: 3, r: 1, j: 5, h: 4}. What is prob of picking 1 j, 2 h, and 2 n?", "a": "45/1001" }, { "q": "Five letters picked without replacement from iiviiiviiiiviivi. What is prob of picking 5 i?", "a": "33/182" }, { "q": "Five letters picked without replacement from {f: 11, e: 2}. What is prob of picking 5 e?", "a": "0" }, { "q": "What is prob of picking 4 s and 1 w when five letters picked without replacement from sswsssswwwsssswsw?", "a": "495/1547" }, { "q": "Five letters picked without replacement from hmhhhmhmhhyhyvhmor. Give prob of picking 1 v, 1 m, 2 h, and 1 o.", "a": "2/119" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from ozoofoooofoofo?", "a": "18/143" }, { "q": "Calculate prob of picking 1 t and 4 u when five letters picked without replacement from tuuuutuuuuut.", "a": "21/44" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from {b: 17, u: 2}?", "a": "91/171" }, { "q": "What is prob of picking 1 j, 2 h, and 2 r when five letters picked without replacement from vnnjnhvjvyjynjhrryjj?", "a": "1/2584" }, { "q": "What is prob of picking 1 j and 4 e when five letters picked without replacement from {e: 5, u: 7, j: 2}?", "a": "5/1001" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from {l: 1, k: 8}?", "a": "4/9" }, { "q": "Calculate prob of picking 2 k and 3 i when five letters picked without replacement from {i: 4, n: 1, k: 2, r: 4}.", "a": "2/231" }, { "q": "What is prob of picking 3 y and 2 j when five letters picked without replacement from {y: 11, j: 3, f: 5}?", "a": "55/1292" }, { "q": "Five letters picked without replacement from {g: 3, n: 4, l: 5, t: 1}. What is prob of picking 2 l, 1 g, and 2 n?", "a": "20/143" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tmmttttt.", "a": "3/28" }, { "q": "Five letters picked without replacement from bbeqeeqbzpaeqa. What is prob of picking 1 a, 1 p, 1 e, and 2 b?", "a": "12/1001" }, { "q": "Five letters picked without replacement from ygyggg. What is prob of picking 1 y and 4 g?", "a": "1/3" }, { "q": "Five letters picked without replacement from {o: 3, a: 11}. Give prob of picking 5 a.", "a": "3/13" }, { "q": "Calculate prob of picking 1 m and 4 r when five letters picked without replacement from rrrmrrmrmmrrrmm.", "a": "36/143" }, { "q": "Calculate prob of picking 1 w and 4 h when five letters picked without replacement from {b: 2, z: 2, w: 6, t: 2, h: 1}.", "a": "0" }, { "q": "What is prob of picking 2 j and 3 o when five letters picked without replacement from {j: 4, o: 11, u: 3}?", "a": "55/476" }, { "q": "Calculate prob of picking 1 l, 3 u, and 1 x when five letters picked without replacement from {x: 2, u: 6, l: 3}.", "a": "20/77" }, { "q": "Five letters picked without replacement from {r: 2, w: 2, m: 3, z: 3, t: 2}. Give prob of picking 1 m, 1 r, 1 z, and 2 w.", "a": "1/44" }, { "q": "Five letters picked without replacement from {w: 2, p: 1, t: 6}. Give prob of picking 5 w.", "a": "0" }, { "q": "Five letters picked without replacement from {z: 2, h: 4, f: 5}. Give prob of picking 4 f and 1 h.", "a": "10/231" }, { "q": "Five letters picked without replacement from hghkkggkggghggghggk. What is prob of picking 2 k, 2 g, and 1 h?", "a": "110/969" }, { "q": "Five letters picked without replacement from {p: 5, v: 8}. What is prob of picking 5 p?", "a": "1/1287" }, { "q": "Five letters picked without replacement from zzrrrzr. Give prob of picking 2 z and 3 r.", "a": "4/7" }, { "q": "Five letters picked without replacement from kvkvvvvvvkvpkvvvvvvv. Give prob of picking 1 k and 4 v.", "a": "455/1292" }, { "q": "Five letters picked without replacement from {k: 2, v: 7}. What is prob of picking 4 v and 1 k?", "a": "5/9" }, { "q": "What is prob of picking 1 n, 1 h, and 3 j when five letters picked without replacement from hojonojnjoho?", "a": "1/198" }, { "q": "Five letters picked without replacement from {s: 8}. Give prob of picking 5 s.", "a": "1" }, { "q": "Five letters picked without replacement from ggkkkgg. Give prob of picking 5 g.", "a": "0" }, { "q": "Calculate prob of picking 4 x and 1 d when five letters picked without replacement from {d: 7, x: 8}.", "a": "70/429" }, { "q": "Five letters picked without replacement from wvmvvwwwwvmwwyvwwmwv. What is prob of picking 2 m and 3 w?", "a": "15/646" }, { "q": "Calculate prob of picking 1 p and 4 r when five letters picked without replacement from trrrdrrrrrkkrrrp.", "a": "55/728" }, { "q": "Five letters picked without replacement from {v: 3, s: 1, m: 4, a: 1, t: 5}. What is prob of picking 1 s, 1 m, 2 v, and 1 t?", "a": "30/1001" }, { "q": "Five letters picked without replacement from {p: 8, r: 10}. What is prob of picking 3 r and 2 p?", "a": "20/51" }, { "q": "Five letters picked without replacement from vzsfjfzszffk. Give prob of picking 3 f, 1 k, and 1 s.", "a": "1/99" }, { "q": "Five letters picked without replacement from {l: 1, f: 2, i: 5, o: 1, s: 2, v: 1}. What is prob of picking 1 f, 1 o, and 3 s?", "a": "0" }, { "q": "Five letters picked without replacement from ccfwccwccrcwrccwrc. Give prob of picking 1 w, 3 c, and 1 f.", "a": "20/357" }, { "q": "Five letters picked without replacement from llcchaakcalkhlll. Give prob of picking 1 c, 1 k, 2 h, and 1 l.", "a": "3/364" }, { "q": "Five letters picked without replacement from lhhuhllhluqqlulqq. Give prob of picking 2 u, 1 l, and 2 h.", "a": "27/1547" }, { "q": "Calculate prob of picking 1 l and 4 i when five letters picked without replacement from {i: 8, l: 3}.", "a": "5/11" }, { "q": "Five letters picked without replacement from {s: 1, u: 2, o: 2, t: 13}. Give prob of picking 2 u, 1 t, and 2 o.", "a": "13/8568" }, { "q": "Five letters picked without replacement from {w: 8, a: 1, z: 2, c: 2, v: 2, e: 4}. Give prob of picking 3 e, 1 a, and 1 v.", "a": "2/2907" }, { "q": "Five letters picked without replacement from vavvvavvvavnvvv. What is prob of picking 2 a, 1 n, and 2 v?", "a": "5/91" }, { "q": "Calculate prob of picking 1 q, 2 c, and 2 r when five letters picked without replacement from {q: 1, r: 4, c: 3, y: 4, v: 2}.", "a": "9/1001" }, { "q": "Five letters picked without replacement from yyayyyyyayyyyyyy. Give prob of picking 4 y and 1 a.", "a": "11/24" }, { "q": "Five letters picked without replacement from {e: 3, i: 15}. Give prob of picking 5 i.", "a": "143/408" }, { "q": "Five letters picked without replacement from lvwleveeceveecllgcl. Give prob of picking 1 v, 1 w, 1 e, 1 l, and 1 c.", "a": "15/646" }, { "q": "Calculate prob of picking 3 v, 1 b, and 1 l when five letters picked without replacement from qvqqqqqbqvbl.", "a": "0" }, { "q": "Five letters picked without replacement from oooyooyoo. Give prob of picking 1 y and 4 o.", "a": "5/9" }, { "q": "Calculate prob of picking 1 u, 1 m, and 3 j when five letters picked without replacement from mjujmummjjmmjjm.", "a": "40/429" }, { "q": "Five letters picked without replacement from {m: 1, j: 1, b: 3, u: 2, k: 2}. Give prob of picking 1 j, 2 k, 1 b, and 1 m.", "a": "1/42" }, { "q": "Calculate prob of picking 2 s, 1 v, and 2 c when five letters picked without replacement from ppczzscscvffpcssvzv.", "a": "3/323" }, { "q": "Calculate prob of picking 3 s and 2 u when five letters picked without replacement from uusuuuuusuusuususuuu.", "a": "175/2584" }, { "q": "Calculate prob of picking 2 e and 3 n when five letters picked without replacement from nnennnn.", "a": "0" }, { "q": "Five letters picked without replacement from {u: 7, o: 4, w: 5}. What is prob of picking 2 o and 3 w?", "a": "5/364" }, { "q": "Five letters picked without replacement from {q: 4, m: 1, p: 3}. What is prob of picking 1 m and 4 q?", "a": "1/56" }, { "q": "What is prob of picking 3 k and 2 h when five letters picked without replacement from {k: 12, h: 4}?", "a": "55/182" }, { "q": "Five letters picked without replacement from yccdcxarryrrrr. Give prob of picking 1 y, 2 c, and 2 x.", "a": "0" }, { "q": "Five letters picked without replacement from {s: 8, y: 6}. What is prob of picking 5 y?", "a": "3/1001" }, { "q": "What is prob of picking 1 t and 4 o when five letters picked without replacement from ooootootooooo?", "a": "20/39" }, { "q": "Calculate prob of picking 1 s, 2 z, 1 p, and 1 x when five letters picked without replacement from {z: 3, p: 1, s: 1, x: 1, q: 5}.", "a": "1/154" }, { "q": "Five letters picked without replacement from kfkkjkkkzkjpjk. What is prob of picking 1 f, 1 z, 1 k, and 2 j?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {d: 4, v: 3, j: 3}. What is prob of picking 1 v and 4 d?", "a": "1/84" }, { "q": "Five letters picked without replacement from {a: 7, l: 6, f: 3}. Give prob of picking 1 f and 4 a.", "a": "5/208" }, { "q": "Five letters picked without replacement from {a: 2, f: 9, k: 8}. What is prob of picking 2 f, 1 a, and 2 k?", "a": "56/323" }, { "q": "Five letters picked without replacement from {s: 3, n: 9, a: 1}. Give prob of picking 3 n and 2 s.", "a": "28/143" }, { "q": "What is prob of picking 1 a, 3 n, and 1 s when five letters picked without replacement from {n: 4, t: 1, c: 2, s: 6, a: 3}?", "a": "3/182" }, { "q": "What is prob of picking 4 d and 1 i when five letters picked without replacement from ddddjdijdiiijdjjiidi?", "a": "245/7752" }, { "q": "Five letters picked without replacement from vtttff. What is prob of picking 1 f, 1 v, and 3 t?", "a": "1/3" }, { "q": "Five letters picked without replacement from {t: 14, s: 5}. Give prob of picking 2 t and 3 s.", "a": "455/5814" }, { "q": "Five letters picked without replacement from wwwiiiiw. Give prob of picking 1 w and 4 i.", "a": "1/14" }, { "q": "Calculate prob of picking 1 r, 1 d, 1 s, and 2 b when five letters picked without replacement from {b: 2, a: 1, s: 3, w: 2, r: 5, d: 1}.", "a": "15/2002" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from jwwrjjwjjww.", "a": "1/462" }, { "q": "Five letters picked without replacement from gcchgwcwwwhwq. What is prob of picking 2 c, 1 h, and 2 g?", "a": "2/429" }, { "q": "Calculate prob of picking 1 u and 4 i when five letters picked without replacement from iiuiuiiuuuiiiiii.", "a": "275/728" }, { "q": "Calculate prob of picking 3 d, 1 o, and 1 h when five letters picked without replacement from {h: 2, d: 5, o: 11, f: 1}.", "a": "55/2907" }, { "q": "Five letters picked without replacement from {q: 9, k: 7}. Give prob of picking 5 k.", "a": "1/208" }, { "q": "Five letters picked without replacement from gxgdggmdgmgm. What is prob of picking 2 g, 2 d, and 1 x?", "a": "5/264" }, { "q": "What is prob of picking 1 j and 4 i when five letters picked without replacement from iijudujijdudidjjdddd?", "a": "5/15504" }, { "q": "What is prob of picking 2 u, 1 o, 1 j, and 1 b when five letters picked without replacement from {u: 2, b: 11, j: 1, o: 1}?", "a": "1/273" }, { "q": "Five letters picked without replacement from {y: 7, m: 2}. Give prob of picking 2 m and 3 y.", "a": "5/18" }, { "q": "What is prob of picking 4 l and 1 o when five letters picked without replacement from {o: 5, c: 6, l: 4}?", "a": "5/3003" }, { "q": "Five letters picked without replacement from {d: 1, l: 4, e: 3, n: 1, o: 8}. Give prob of picking 2 o, 1 d, and 2 l.", "a": "6/221" }, { "q": "Calculate prob of picking 1 l, 1 w, 1 i, 1 e, and 1 b when five letters picked without replacement from {l: 2, e: 3, b: 3, a: 2, i: 6, w: 4}.", "a": "9/323" }, { "q": "Five letters picked without replacement from biziizzzzpzan. Give prob of picking 1 i, 1 n, and 3 z.", "a": "20/429" }, { "q": "Five letters picked without replacement from {u: 4, b: 11, v: 4}. Give prob of picking 4 b and 1 u.", "a": "110/969" }, { "q": "Calculate prob of picking 1 f, 2 g, 1 o, and 1 a when five letters picked without replacement from {f: 2, g: 2, c: 1, o: 1, a: 4, n: 6}.", "a": "1/546" }, { "q": "Calculate prob of picking 4 m and 1 n when five letters picked without replacement from mwmwiwmnmmjmmw.", "a": "5/286" }, { "q": "Five letters picked without replacement from toltaahtllohlhtnao. What is prob of picking 2 l, 1 t, and 2 o?", "a": "1/119" }, { "q": "Five letters picked without replacement from hhhewknb. Give prob of picking 1 b, 1 e, 1 w, 1 h, and 1 k.", "a": "3/56" }, { "q": "Five letters picked without replacement from ibyiiiieeeyeceibeye. Give prob of picking 1 c, 1 b, and 3 y.", "a": "1/5814" }, { "q": "Five letters picked without replacement from {p: 1, s: 7, v: 4, t: 6}. What is prob of picking 1 p, 2 v, and 2 t?", "a": "5/476" }, { "q": "Calculate prob of picking 3 l and 2 w when five letters picked without replacement from {l: 10, w: 6}.", "a": "75/182" }, { "q": "Five letters picked without replacement from izsdcdcccididscdc. What is prob of picking 3 i, 1 s, and 1 c?", "a": "3/1547" }, { "q": "What is prob of picking 2 a, 2 h, and 1 u when five letters picked without replacement from hhaxaajua?", "a": "1/21" }, { "q": "What is prob of picking 4 v and 1 l when five letters picked without replacement from {u: 2, v: 7, l: 2, w: 3, n: 2}?", "a": "5/312" }, { "q": "Five letters picked without replacement from tttttttttt. What is prob of picking 5 t?", "a": "1" }, { "q": "Five letters picked without replacement from {g: 1, n: 4, p: 3, w: 1, d: 3, u: 3}. What is prob of picking 1 w, 1 p, 2 n, and 1 g?", "a": "6/1001" }, { "q": "What is prob of picking 4 c and 1 k when five letters picked without replacement from cqqqqqqcqqiqckq?", "a": "0" }, { "q": "What is prob of picking 2 y, 2 l, and 1 d when five letters picked without replacement from {y: 2, d: 2, l: 2}?", "a": "1/3" }, { "q": "Calculate prob of picking 3 i and 2 g when five letters picked without replacement from xxiggiii.", "a": "1/14" }, { "q": "Five letters picked without replacement from agxaggklgaaeexg. What is prob of picking 4 a and 1 e?", "a": "2/3003" }, { "q": "What is prob of picking 1 m, 1 r, and 3 i when five letters picked without replacement from {a: 1, j: 2, r: 2, m: 1, i: 7}?", "a": "70/1287" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from {b: 8}?", "a": "1" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from dedddddeedddedeee.", "a": "3/884" }, { "q": "Calculate prob of picking 2 w, 2 v, and 1 q when five letters picked without replacement from {q: 3, w: 2, v: 4}.", "a": "1/7" }, { "q": "Five letters picked without replacement from zazhxhh. Give prob of picking 1 a, 1 z, and 3 h.", "a": "2/21" }, { "q": "What is prob of picking 1 p and 4 n when five letters picked without replacement from nphphjhhhhhphnphpnn?", "a": "5/11628" }, { "q": "What is prob of picking 4 q and 1 k when five letters picked without replacement from {q: 6, e: 1, u: 5, k: 2, a: 3}?", "a": "15/3094" }, { "q": "Five letters picked without replacement from {x: 2, s: 6, v: 1, u: 1, h: 4, p: 3}. Give prob of picking 2 x, 1 v, and 2 s.", "a": "15/6188" }, { "q": "Five letters picked without replacement from oiiooccioiciciciio. Give prob of picking 1 i and 4 c.", "a": "5/1071" }, { "q": "What is prob of picking 4 l and 1 x when five letters picked without replacement from {l: 6, x: 10}?", "a": "25/728" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {h: 2, g: 6}?", "a": "3/28" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {r: 9}.", "a": "1" }, { "q": "Five letters picked without replacement from {m: 2, x: 18}. Give prob of picking 2 m and 3 x.", "a": "1/19" }, { "q": "What is prob of picking 2 h, 1 z, 1 b, and 1 v when five letters picked without replacement from zbbhnvnbnnnhn?", "a": "1/429" }, { "q": "Calculate prob of picking 1 q, 2 y, 1 u, and 1 l when five letters picked without replacement from {y: 8, u: 4, l: 4, q: 1}.", "a": "16/221" }, { "q": "Calculate prob of picking 2 k and 3 m when five letters picked without replacement from {k: 4, m: 10}.", "a": "360/1001" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tttntnnnt.", "a": "1/126" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from ddddddddd.", "a": "1" }, { "q": "Calculate prob of picking 3 e and 2 u when five letters picked without replacement from edudddeedeuu.", "a": "1/66" }, { "q": "What is prob of picking 4 i and 1 e when five letters picked without replacement from {e: 3, z: 6, i: 5}?", "a": "15/2002" }, { "q": "Five letters picked without replacement from bbbbpbpmbiibpmbi. Give prob of picking 3 b, 1 m, and 1 p.", "a": "1/13" }, { "q": "Five letters picked without replacement from dllldlddld. Give prob of picking 5 l.", "a": "1/252" }, { "q": "Five letters picked without replacement from zlllzlllllzlzl. Give prob of picking 1 l and 4 z.", "a": "5/1001" }, { "q": "What is prob of picking 2 q, 2 j, and 1 o when five letters picked without replacement from tqowjwwwtjqww?", "a": "1/1287" }, { "q": "What is prob of picking 3 b and 2 e when five letters picked without replacement from ebbedebb?", "a": "3/14" }, { "q": "Five letters picked without replacement from lqwwqwwlwwwlqwwwq. Give prob of picking 1 w and 4 q.", "a": "5/3094" }, { "q": "Calculate prob of picking 1 i, 2 g, and 2 c when five letters picked without replacement from {c: 5, m: 7, f: 1, g: 2, i: 2}.", "a": "5/1547" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from {t: 5, y: 5}.", "a": "1/252" }, { "q": "Five letters picked without replacement from pabambbyoobbo. What is prob of picking 1 o, 1 b, 1 a, 1 y, and 1 p?", "a": "10/429" }, { "q": "What is prob of picking 2 k, 2 q, and 1 y when five letters picked without replacement from yykkkkkyyqqkkyqykqky?", "a": "63/646" }, { "q": "Calculate prob of picking 1 t and 4 x when five letters picked without replacement from {t: 2, x: 5}.", "a": "10/21" }, { "q": "Five letters picked without replacement from jouououuuu. What is prob of picking 1 j and 4 u?", "a": "5/84" }, { "q": "What is prob of picking 3 d, 1 w, and 1 h when five letters picked without replacement from {t: 9, p: 3, w: 3, h: 1, d: 3}?", "a": "1/3876" }, { "q": "Five letters picked without replacement from {f: 5, t: 4, j: 1, m: 2, l: 3, s: 1}. What is prob of picking 2 m, 1 l, and 2 f?", "a": "5/728" }, { "q": "Five letters picked without replacement from {s: 2, e: 5, o: 5, z: 3, a: 4}. Give prob of picking 1 e, 2 o, 1 z, and 1 s.", "a": "25/969" }, { "q": "What is prob of picking 1 h and 4 f when five letters picked without replacement from {c: 2, d: 3, f: 7, h: 1}?", "a": "35/1287" }, { "q": "What is prob of picking 3 x, 1 n, and 1 m when five letters picked without replacement from mnxxmnimnmxxn?", "a": "64/1287" }, { "q": "Calculate prob of picking 2 a, 1 j, and 2 q when five letters picked without replacement from {q: 2, s: 1, j: 3, l: 1, x: 2, a: 3}.", "a": "1/88" }, { "q": "Five letters picked without replacement from {a: 2, h: 4, k: 5}. Give prob of picking 1 k and 4 h.", "a": "5/462" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from ivvvvvvf?", "a": "3/28" }, { "q": "Five letters picked without replacement from xmttznqnzmzzztxtn. What is prob of picking 2 n, 2 z, and 1 x?", "a": "15/1547" }, { "q": "Five letters picked without replacement from {e: 4, a: 15}. Give prob of picking 4 e and 1 a.", "a": "5/3876" }, { "q": "Five letters picked without replacement from {i: 1, y: 10, e: 5}. Give prob of picking 2 e, 2 y, and 1 i.", "a": "75/728" }, { "q": "Calculate prob of picking 3 i and 2 l when five letters picked without replacement from {l: 11, i: 6}.", "a": "275/1547" }, { "q": "What is prob of picking 2 s and 3 l when five letters picked without replacement from lsslslll?", "a": "15/28" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from uuuuuuu.", "a": "1" }, { "q": "Calculate prob of picking 2 n and 3 w when five letters picked without replacement from {w: 3, n: 11}.", "a": "5/182" }, { "q": "What is prob of picking 3 k, 1 a, and 1 i when five letters picked without replacement from {l: 2, i: 3, k: 1, a: 2, m: 1}?", "a": "0" }, { "q": "What is prob of picking 1 t, 3 r, and 1 n when five letters picked without replacement from rrrrrrtrrrrn?", "a": "5/33" }, { "q": "Five letters picked without replacement from {c: 10, n: 5}. Give prob of picking 1 n and 4 c.", "a": "50/143" }, { "q": "Five letters picked without replacement from {x: 2, j: 3, m: 1, w: 1}. Give prob of picking 1 w, 1 m, 1 j, and 2 x.", "a": "1/7" }, { "q": "Calculate prob of picking 1 x, 3 p, and 1 r when five letters picked without replacement from poxrpppppp.", "a": "5/36" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from sssffss?", "a": "0" }, { "q": "Five letters picked without replacement from llxllggngnlggglgggn. Give prob of picking 2 g, 2 n, and 1 l.", "a": "18/323" }, { "q": "What is prob of picking 2 g, 1 v, 1 y, and 1 f when five letters picked without replacement from vggbbgyybfy?", "a": "3/154" }, { "q": "Five letters picked without replacement from laeeeeeeeeba. What is prob of picking 1 b, 3 e, and 1 a?", "a": "14/99" }, { "q": "What is prob of picking 2 t, 2 e, and 1 u when five letters picked without replacement from eunptr?", "a": "0" }, { "q": "Calculate prob of picking 1 h and 4 b when five letters picked without replacement from bzbbbbbbbpsbsbzh.", "a": "5/104" }, { "q": "Five letters picked without replacement from thhstsqqshhqehqqh. What is prob of picking 1 h, 3 s, and 1 q?", "a": "15/3094" }, { "q": "Five letters picked without replacement from kkkkkk. What is prob of picking 5 k?", "a": "1" }, { "q": "What is prob of picking 2 g, 1 t, and 2 a when five letters picked without replacement from gaygaigattitgga?", "a": "60/1001" }, { "q": "What is prob of picking 1 z, 2 m, and 2 u when five letters picked without replacement from mmzmmmumuzmummmm?", "a": "55/728" }, { "q": "Calculate prob of picking 3 e, 1 r, and 1 u when five letters picked without replacement from rnuunnunnunneenenun.", "a": "5/11628" }, { "q": "Five letters picked without replacement from {a: 10, r: 2}. Give prob of picking 2 r and 3 a.", "a": "5/33" }, { "q": "What is prob of picking 1 c, 1 j, and 3 k when five letters picked without replacement from kjqjqcjkkc?", "a": "1/42" }, { "q": "Five letters picked without replacement from uxkxkxxkxkuxuk. Give prob of picking 1 u, 3 x, and 1 k.", "a": "150/1001" }, { "q": "What is prob of picking 2 j, 2 g, and 1 i when five letters picked without replacement from gkjvjjigiagijjj?", "a": "45/1001" }, { "q": "Five letters picked without replacement from lvllohvhhvolvo. What is prob of picking 2 o and 3 h?", "a": "3/2002" }, { "q": "Five letters picked without replacement from ddxixccxxodwc. Give prob of picking 1 w, 1 i, 1 c, and 2 o.", "a": "0" }, { "q": "What is prob of picking 2 k, 1 z, and 2 y when five letters picked without replacement from kyzkyvvzvkyyvxyzzvk?", "a": "20/969" }, { "q": "What is prob of picking 3 u, 1 o, and 1 r when five letters picked without replacement from kruxouokuoxroxokrudx?", "a": "5/1292" }, { "q": "Five letters picked without replacement from rfrrfrrrr. Give prob of picking 5 r.", "a": "1/6" }, { "q": "Calculate prob of picking 2 r and 3 k when five letters picked without replacement from {k: 8, r: 8}.", "a": "14/39" }, { "q": "Five letters picked without replacement from {i: 1, l: 1, e: 3, z: 1, u: 2}. What is prob of picking 3 z, 1 i, and 1 u?", "a": "0" }, { "q": "What is prob of picking 2 y and 3 r when five letters picked without replacement from yveyrryrryrr?", "a": "5/33" }, { "q": "Five letters picked without replacement from {s: 3, c: 1, q: 7, a: 1}. Give prob of picking 2 q, 1 a, 1 s, and 1 c.", "a": "7/88" }, { "q": "Five letters picked without replacement from ecevvvvvveveveeevcc. Give prob of picking 3 e and 2 c.", "a": "35/3876" }, { "q": "Five letters picked without replacement from {r: 3, f: 1, g: 2, q: 5, x: 3, t: 5}. Give prob of picking 1 q and 4 t.", "a": "25/11628" }, { "q": "Five letters picked without replacement from nnnnnuuun. Give prob of picking 2 n and 3 u.", "a": "5/42" }, { "q": "Five letters picked without replacement from {v: 5, a: 7, y: 1, h: 7}. What is prob of picking 5 a?", "a": "7/5168" }, { "q": "Five letters picked without replacement from ttttutuuttttt. Give prob of picking 5 t.", "a": "28/143" }, { "q": "Five letters picked without replacement from {s: 6, a: 1, v: 9, g: 2, x: 1}. Give prob of picking 4 v and 1 x.", "a": "7/646" }, { "q": "Calculate prob of picking 1 e and 4 o when five letters picked without replacement from {y: 5, e: 1, w: 5, o: 8}.", "a": "35/5814" }, { "q": "Five letters picked without replacement from yyyqqqqyyyyyqqyy. Give prob of picking 5 q.", "a": "1/728" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from {h: 8, k: 5}.", "a": "1/1287" }, { "q": "What is prob of picking 2 o and 3 h when five letters picked without replacement from hhhhhhxhoo?", "a": "5/36" }, { "q": "What is prob of picking 1 l and 4 z when five letters picked without replacement from {z: 7, l: 4, i: 1}?", "a": "35/198" }, { "q": "Five letters picked without replacement from izzizizzizpippppzzp. Give prob of picking 3 p, 1 z, and 1 i.", "a": "200/2907" }, { "q": "Five letters picked without replacement from wqllqqwqqlqqyvq. What is prob of picking 2 q, 2 w, and 1 l?", "a": "4/143" }, { "q": "Five letters picked without replacement from {a: 2, l: 2, p: 3, s: 5}. What is prob of picking 2 a, 1 p, and 2 l?", "a": "1/264" }, { "q": "Calculate prob of picking 1 p, 3 z, and 1 r when five letters picked without replacement from {r: 2, b: 1, k: 3, p: 1, z: 2, f: 1}.", "a": "0" }, { "q": "What is prob of picking 2 j, 2 v, and 1 e when five letters picked without replacement from ervrrrravrjaj?", "a": "1/1287" }, { "q": "Five letters picked without replacement from soscsoolocc. Give prob of picking 2 o, 2 c, and 1 l.", "a": "3/77" }, { "q": "Five letters picked without replacement from {a: 2, f: 2, q: 4, k: 5}. Give prob of picking 1 a, 1 k, and 3 q.", "a": "40/1287" }, { "q": "Calculate prob of picking 1 k and 4 h when five letters picked without replacement from {h: 9, k: 11}.", "a": "231/2584" }, { "q": "What is prob of picking 1 c, 2 p, and 2 e when five letters picked without replacement from ckjjppcecekek?", "a": "1/143" }, { "q": "Five letters picked without replacement from {a: 5, s: 4, t: 3, b: 2, r: 2, q: 3}. What is prob of picking 2 q, 1 r, 1 b, and 1 t?", "a": "1/323" }, { "q": "Five letters picked without replacement from {h: 12, x: 4}. Give prob of picking 1 x and 4 h.", "a": "165/364" }, { "q": "Calculate prob of picking 3 l and 2 m when five letters picked without replacement from lelmellemem.", "a": "2/77" }, { "q": "Five letters picked without replacement from {k: 3, i: 7, f: 1, w: 3, u: 5}. Give prob of picking 3 u, 1 i, and 1 f.", "a": "35/5814" }, { "q": "Five letters picked without replacement from bmmmbmmbm. Give prob of picking 1 b and 4 m.", "a": "5/14" }, { "q": "Calculate prob of picking 3 r, 1 w, and 1 y when five letters picked without replacement from wwrruwywuwruwruww.", "a": "8/1547" }, { "q": "What is prob of picking 1 c, 1 h, and 3 w when five letters picked without replacement from {j: 2, h: 2, w: 5, c: 1, k: 2, o: 1}?", "a": "20/1287" }, { "q": "Calculate prob of picking 2 x, 1 l, 1 r, and 1 j when five letters picked without replacement from xggzjzjgglgrz.", "a": "0" }, { "q": "Calculate prob of picking 1 d and 4 u when five letters picked without replacement from dduuddduuudduddddd.", "a": "5/238" }, { "q": "Calculate prob of picking 1 c, 2 p, and 2 f when five letters picked without replacement from {j: 2, p: 2, f: 2, c: 12}.", "a": "1/714" }, { "q": "What is prob of picking 3 a and 2 o when five letters picked without replacement from {a: 8, o: 4}?", "a": "14/33" }, { "q": "Five letters picked without replacement from wwzwwwwzzwwzzzxxxzw. Give prob of picking 2 w, 1 z, and 2 x.", "a": "21/323" }, { "q": "Calculate prob of picking 1 o, 2 g, and 2 m when five letters picked without replacement from {o: 1, g: 4, x: 1, l: 2, m: 4, h: 2}.", "a": "18/1001" }, { "q": "Five letters picked without replacement from {c: 2, w: 1, s: 2, q: 2}. Give prob of picking 2 c, 1 q, and 2 s.", "a": "2/21" }, { "q": "Five letters picked without replacement from wbbtxtbxxwcwwwww. Give prob of picking 3 x and 2 t.", "a": "1/4368" }, { "q": "Five letters picked without replacement from {u: 6, g: 6, d: 3, o: 4}. Give prob of picking 4 g and 1 u.", "a": "5/646" }, { "q": "Five letters picked without replacement from kxxkkakrxkkkxxkkrryk. Give prob of picking 2 x and 3 r.", "a": "5/7752" }, { "q": "Five letters picked without replacement from {g: 7, s: 3, n: 2, u: 1}. Give prob of picking 1 n, 2 g, and 2 u.", "a": "0" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from {p: 1, f: 11}.", "a": "7/12" }, { "q": "What is prob of picking 1 o, 2 d, and 2 a when five letters picked without replacement from {o: 6, a: 7, d: 5}?", "a": "5/34" }, { "q": "What is prob of picking 2 x, 2 h, and 1 q when five letters picked without replacement from {q: 6, h: 3, x: 2}?", "a": "3/77" }, { "q": "Five letters picked without replacement from {d: 3, s: 3, b: 1, v: 5, t: 3, p: 4}. What is prob of picking 4 v and 1 t?", "a": "5/3876" }, { "q": "Five letters picked without replacement from {c: 4, u: 1, e: 2, d: 4}. Give prob of picking 1 d, 1 e, and 3 c.", "a": "16/231" }, { "q": "Five letters picked without replacement from {n: 1, r: 3, v: 1, j: 1, u: 3}. What is prob of picking 1 j, 2 r, and 2 v?", "a": "0" }, { "q": "Five letters picked without replacement from {z: 1, t: 6, n: 6}. Give prob of picking 1 z, 3 t, and 1 n.", "a": "40/429" }, { "q": "Five letters picked without replacement from {g: 7, o: 3}. What is prob of picking 3 o and 2 g?", "a": "1/12" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {e: 7, f: 6, z: 1}?", "a": "3/286" }, { "q": "What is prob of picking 2 t and 3 d when five letters picked without replacement from dtttdtttdddddddd?", "a": "75/182" }, { "q": "Calculate prob of picking 1 m, 1 l, 2 h, and 1 q when five letters picked without replacement from {l: 1, m: 4, q: 5, h: 5}.", "a": "200/3003" }, { "q": "Calculate prob of picking 2 j and 3 m when five letters picked without replacement from jjmmmmmjjjm.", "a": "100/231" }, { "q": "Calculate prob of picking 2 f, 2 t, and 1 b when five letters picked without replacement from {f: 2, t: 3, g: 2, b: 2, h: 9}.", "a": "1/1428" }, { "q": "Calculate prob of picking 2 i, 1 p, and 2 d when five letters picked without replacement from yiyiidiiipidyiydiyp.", "a": "6/323" }, { "q": "Five letters picked without replacement from mtmtmtmttmtmt. What is prob of picking 5 t?", "a": "7/429" }, { "q": "Calculate prob of picking 3 s and 2 k when five letters picked without replacement from {k: 3, s: 4, u: 4, z: 7, e: 1}.", "a": "1/969" }, { "q": "What is prob of picking 1 c, 3 d, and 1 y when five letters picked without replacement from ycdwxj?", "a": "0" }, { "q": "What is prob of picking 1 m, 1 y, 2 i, and 1 v when five letters picked without replacement from myyivi?", "a": "1/3" }, { "q": "Five letters picked without replacement from slyslssyllllyyls. Give prob of picking 5 s.", "a": "1/4368" }, { "q": "Calculate prob of picking 3 i, 1 y, and 1 x when five letters picked without replacement from mmbsmxybiiiiiiixy.", "a": "5/221" }, { "q": "Five letters picked without replacement from {k: 3, s: 3, m: 5}. Give prob of picking 1 k and 4 m.", "a": "5/154" }, { "q": "What is prob of picking 4 c and 1 h when five letters picked without replacement from {h: 1, z: 10, c: 5}?", "a": "5/4368" }, { "q": "Five letters picked without replacement from bffbfbbbbkbffb. Give prob of picking 1 f and 4 b.", "a": "25/143" }, { "q": "Five letters picked without replacement from ppppppppp. What is prob of picking 5 p?", "a": "1" }, { "q": "Calculate prob of picking 3 l, 1 o, and 1 w when five letters picked without replacement from lolwloowollllo.", "a": "25/143" }, { "q": "What is prob of picking 3 e, 1 k, and 1 a when five letters picked without replacement from {k: 4, g: 3, v: 1, a: 3, e: 7}?", "a": "5/102" }, { "q": "Five letters picked without replacement from nlmeqcqm. What is prob of picking 1 e, 1 l, 1 c, and 2 m?", "a": "1/56" }, { "q": "Five letters picked without replacement from {p: 2, t: 1, n: 3, i: 9, a: 4}. Give prob of picking 1 i, 2 a, and 2 n.", "a": "9/646" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from {n: 7, z: 4, l: 9}?", "a": "7/5168" }, { "q": "Five letters picked without replacement from {i: 2, w: 6, v: 10, s: 1}. What is prob of picking 2 v, 1 i, and 2 w?", "a": "75/646" }, { "q": "Five letters picked without replacement from {t: 9, r: 7, y: 3}. Give prob of picking 2 y and 3 t.", "a": "7/323" }, { "q": "Five letters picked without replacement from {r: 1, n: 2, x: 2, c: 1, i: 3, m: 3}. Give prob of picking 1 n, 1 i, 1 c, 1 x, and 1 r.", "a": "1/66" }, { "q": "Five letters picked without replacement from {l: 3, g: 10}. What is prob of picking 5 g?", "a": "28/143" }, { "q": "What is prob of picking 1 v, 1 l, 1 o, and 2 q when five letters picked without replacement from {l: 1, q: 5, f: 1, p: 2, v: 5, o: 1}?", "a": "50/3003" }, { "q": "Calculate prob of picking 3 l, 1 o, and 1 q when five letters picked without replacement from qqlozplllplpp.", "a": "20/1287" }, { "q": "What is prob of picking 1 k and 4 f when five letters picked without replacement from {k: 1, f: 14}?", "a": "1/3" }, { "q": "Five letters picked without replacement from uuuhhuhuuuha. Give prob of picking 4 u and 1 a.", "a": "35/792" }, { "q": "Five letters picked without replacement from {t: 2, c: 1, i: 11, v: 4}. What is prob of picking 1 t, 1 c, and 3 v?", "a": "1/1071" }, { "q": "What is prob of picking 4 z and 1 m when five letters picked without replacement from bzxzixizzmzrxxx?", "a": "5/3003" }, { "q": "What is prob of picking 1 m, 2 a, and 2 c when five letters picked without replacement from {m: 8, a: 4, o: 2, c: 2}?", "a": "1/91" }, { "q": "Five letters picked without replacement from {z: 8}. Give prob of picking 5 z.", "a": "1" }, { "q": "Five letters picked without replacement from {a: 1, x: 1, o: 9, m: 1, s: 2, g: 2}. What is prob of picking 1 x, 2 s, 1 g, and 1 a?", "a": "1/2184" }, { "q": "What is prob of picking 4 k and 1 b when five letters picked without replacement from kbkkktkekktbek?", "a": "10/143" }, { "q": "What is prob of picking 3 r and 2 s when five letters picked without replacement from {r: 4, b: 10, s: 4}?", "a": "1/357" }, { "q": "What is prob of picking 3 w and 2 g when five letters picked without replacement from wgggggggwwgggggggw?", "a": "13/306" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from fffff.", "a": "1" }, { "q": "What is prob of picking 1 e and 4 s when five letters picked without replacement from ssssesssss?", "a": "1/2" }, { "q": "Five letters picked without replacement from ttctctctttttccttt. Give prob of picking 3 c and 2 t.", "a": "165/1547" }, { "q": "What is prob of picking 3 p and 2 s when five letters picked without replacement from ppsppppsppppss?", "a": "360/1001" }, { "q": "What is prob of picking 2 t, 2 q, and 1 i when five letters picked without replacement from {i: 7, e: 1, t: 2, p: 1, l: 7, q: 2}?", "a": "7/15504" }, { "q": "What is prob of picking 4 j and 1 v when five letters picked without replacement from jjjvjjjjjjjjjjj?", "a": "1/3" }, { "q": "Five letters picked without replacement from ddididiidiidddiididi. What is prob of picking 2 i and 3 d?", "a": "225/646" }, { "q": "Five letters picked without replacement from {j: 3, k: 3, u: 3, r: 11}. Give prob of picking 3 k, 1 j, and 1 u.", "a": "3/5168" }, { "q": "What is prob of picking 1 e and 4 v when five letters picked without replacement from veevyveyeyveyeyeuyvv?", "a": "35/5168" }, { "q": "What is prob of picking 1 g, 1 q, 2 r, and 1 v when five letters picked without replacement from rrqvgrrqrrgrvqr?", "a": "16/143" }, { "q": "Calculate prob of picking 3 s and 2 o when five letters picked without replacement from sssoossssbsssbsob.", "a": "495/6188" }, { "q": "Calculate prob of picking 1 c, 2 w, and 2 p when five letters picked without replacement from ccpwpopo.", "a": "0" }, { "q": "Five letters picked without replacement from {i: 1, j: 2, y: 2, s: 2, l: 2}. Give prob of picking 1 i, 1 y, 2 l, and 1 s.", "a": "2/63" }, { "q": "Five letters picked without replacement from rrmrmmmmyrrymrymymmm. Give prob of picking 3 m and 2 y.", "a": "15/323" }, { "q": "Five letters picked without replacement from qzqzqzqqzzqz. What is prob of picking 5 z?", "a": "1/132" }, { "q": "Five letters picked without replacement from csshhbyaa. Give prob of picking 1 c, 1 b, 1 a, 1 h, and 1 s.", "a": "4/63" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from wxxxhxxxwxwxwwhwhx?", "a": "1/68" }, { "q": "Five letters picked without replacement from {l: 8, h: 8}. Give prob of picking 2 h and 3 l.", "a": "14/39" }, { "q": "What is prob of picking 2 l, 2 y, and 1 x when five letters picked without replacement from {x: 1, n: 2, l: 5, y: 2, g: 4}?", "a": "5/1001" }, { "q": "Five letters picked without replacement from {g: 11, e: 2}. What is prob of picking 4 g and 1 e?", "a": "20/39" }, { "q": "Calculate prob of picking 1 r, 2 w, 1 x, and 1 h when five letters picked without replacement from wfxwrrxhfmwhhhw.", "a": "32/1001" }, { "q": "What is prob of picking 1 p, 1 r, 2 v, and 1 c when five letters picked without replacement from {r: 1, c: 3, p: 8, v: 2, x: 2, e: 2}?", "a": "1/357" }, { "q": "Five letters picked without replacement from ovovoovvoooooovoooo. Give prob of picking 2 o and 3 v.", "a": "455/5814" }, { "q": "Five letters picked without replacement from wrrrrwrrrwwrrrrrrrrr. Give prob of picking 5 r.", "a": "91/323" }, { "q": "Calculate prob of picking 2 e and 3 x when five letters picked without replacement from exeeeeeeeeeexeeexee.", "a": "10/969" }, { "q": "What is prob of picking 1 b, 1 e, 2 a, and 1 t when five letters picked without replacement from {b: 5, t: 6, x: 2, e: 3, a: 4}?", "a": "45/1292" }, { "q": "What is prob of picking 1 h, 2 r, and 2 i when five letters picked without replacement from {h: 1, i: 3, x: 2, r: 2}?", "a": "3/56" }, { "q": "What is prob of picking 1 h and 4 w when five letters picked without replacement from cchlwclclchlhc?", "a": "0" }, { "q": "Calculate prob of picking 1 q and 4 n when five letters picked without replacement from {q: 1, n: 18}.", "a": "5/19" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sssssss?", "a": "1" }, { "q": "Five letters picked without replacement from sjjjjssjjjsjsj. What is prob of picking 5 j?", "a": "9/143" }, { "q": "Five letters picked without replacement from iliiiliiilqilii. What is prob of picking 3 q and 2 l?", "a": "0" }, { "q": "What is prob of picking 1 e, 1 u, and 3 z when five letters picked without replacement from {z: 9, u: 4, c: 4, e: 1}?", "a": "2/51" }, { "q": "What is prob of picking 4 v and 1 k when five letters picked without replacement from vvvvvvvvvkvvvvvvkvv?", "a": "70/171" }, { "q": "Five letters picked without replacement from {f: 3, m: 2, z: 2, j: 1}. Give prob of picking 2 m and 3 f.", "a": "1/56" }, { "q": "Five letters picked without replacement from {u: 2, e: 3, m: 11, o: 2, l: 2}. What is prob of picking 2 l, 2 u, and 1 m?", "a": "11/15504" }, { "q": "Five letters picked without replacement from {v: 5, o: 3, s: 4}. What is prob of picking 2 o and 3 v?", "a": "5/132" }, { "q": "Calculate prob of picking 1 d, 2 k, and 2 z when five letters picked without replacement from ddzzkkkkk.", "a": "10/63" }, { "q": "Calculate prob of picking 3 h, 1 f, and 1 x when five letters picked without replacement from jfxhhfjfhxxjffxh.", "a": "5/273" }, { "q": "Five letters picked without replacement from {f: 3, s: 3, g: 5, l: 9}. What is prob of picking 1 g, 3 f, and 1 s?", "a": "5/5168" }, { "q": "What is prob of picking 3 e and 2 q when five letters picked without replacement from {e: 1, q: 2, h: 3}?", "a": "0" }, { "q": "Calculate prob of picking 3 d, 1 k, and 1 e when five letters picked without replacement from gqedkkdqegqdgddeg.", "a": "15/1547" }, { "q": "Calculate prob of picking 3 q and 2 z when five letters picked without replacement from {h: 3, o: 3, q: 7, z: 3}.", "a": "5/208" }, { "q": "What is prob of picking 1 c, 1 l, 1 z, and 2 x when five letters picked without replacement from {c: 4, z: 3, l: 5, x: 2, h: 2}?", "a": "5/364" }, { "q": "Calculate prob of picking 3 h, 1 c, and 1 p when five letters picked without replacement from hcncchnnnnmnnnph.", "a": "1/1456" }, { "q": "Calculate prob of picking 1 y, 3 r, and 1 s when five letters picked without replacement from sssrrssrssryssrssss.", "a": "65/5814" }, { "q": "What is prob of picking 4 s and 1 a when five letters picked without replacement from {s: 5, l: 2, q: 3, a: 7}?", "a": "5/884" }, { "q": "Five letters picked without replacement from {x: 7, a: 1, f: 3, s: 2, c: 1, k: 3}. What is prob of picking 1 c, 2 x, 1 a, and 1 f?", "a": "9/884" }, { "q": "Five letters picked without replacement from bbnnnnngwnnnnnnnnnjn. Give prob of picking 4 n and 1 b.", "a": "455/2584" }, { "q": "Five letters picked without replacement from hkrbqkhhhhhhbhkh. What is prob of picking 2 b, 2 k, and 1 r?", "a": "1/1456" }, { "q": "What is prob of picking 4 q and 1 f when five letters picked without replacement from {q: 10, f: 6}?", "a": "15/52" }, { "q": "Five letters picked without replacement from {s: 2, v: 10}. What is prob of picking 1 s and 4 v?", "a": "35/66" }, { "q": "Calculate prob of picking 3 u, 1 o, and 1 q when five letters picked without replacement from uqoquuuquuuqquq.", "a": "16/143" }, { "q": "Calculate prob of picking 3 p, 1 u, and 1 f when five letters picked without replacement from {q: 2, p: 1, a: 2, f: 1, u: 2, g: 2}.", "a": "0" }, { "q": "Calculate prob of picking 1 m, 1 o, and 3 x when five letters picked without replacement from kxpxmxop.", "a": "1/56" }, { "q": "Five letters picked without replacement from {s: 2, e: 1, p: 1, r: 1, t: 1, x: 2}. What is prob of picking 1 e, 2 x, and 2 s?", "a": "1/56" }, { "q": "Five letters picked without replacement from rorryrryyyroyybrr. Give prob of picking 1 b, 2 o, and 2 y.", "a": "15/6188" }, { "q": "Five letters picked without replacement from {e: 3, q: 2, m: 1}. What is prob of picking 3 e, 1 m, and 1 q?", "a": "1/3" }, { "q": "Calculate prob of picking 4 s and 1 n when five letters picked without replacement from naksasksqaaqnkasan.", "a": "1/2856" }, { "q": "What is prob of picking 1 j, 1 g, and 3 u when five letters picked without replacement from {k: 2, g: 3, u: 8, z: 3, j: 1, h: 2}?", "a": "14/969" }, { "q": "Calculate prob of picking 2 x and 3 l when five letters picked without replacement from fllhllkxlfhlfwhlwx.", "a": "5/1224" }, { "q": "Five letters picked without replacement from kkkkdkmmkmkkk. What is prob of picking 1 k, 1 d, and 3 m?", "a": "1/143" }, { "q": "What is prob of picking 2 z, 1 j, 1 g, and 1 y when five letters picked without replacement from yjyjzjxzgz?", "a": "1/14" }, { "q": "Five letters picked without replacement from {p: 3, u: 4, f: 2}. Give prob of picking 1 u, 3 p, and 1 f.", "a": "4/63" }, { "q": "What is prob of picking 1 t, 1 z, 1 x, and 2 a when five letters picked without replacement from zaotaarxotttoo?", "a": "6/1001" }, { "q": "What is prob of picking 2 t and 3 a when five letters picked without replacement from tttatttatatttttt?", "a": "1/56" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from {k: 5, j: 3}?", "a": "1/56" }, { "q": "Five letters picked without replacement from tpctwwqvtp. Give prob of picking 1 v, 2 w, and 2 p.", "a": "1/252" }, { "q": "Calculate prob of picking 2 q and 3 a when five letters picked without replacement from {v: 1, r: 5, q: 2, a: 3}.", "a": "1/462" }, { "q": "Calculate prob of picking 1 m, 1 l, and 3 x when five letters picked without replacement from {l: 2, x: 3, m: 1}.", "a": "1/3" }, { "q": "What is prob of picking 1 m, 3 u, and 1 h when five letters picked without replacement from mumwumwfhwmuwmimuiiw?", "a": "1/646" }, { "q": "Five letters picked without replacement from {p: 9, a: 7}. Give prob of picking 1 p and 4 a.", "a": "15/208" }, { "q": "What is prob of picking 1 a, 1 h, 1 f, 1 n, and 1 v when five letters picked without replacement from {a: 1, n: 2, v: 2, h: 1, f: 1, d: 1}?", "a": "1/14" }, { "q": "Calculate prob of picking 1 u, 1 k, 1 f, and 2 e when five letters picked without replacement from {d: 5, e: 3, f: 3, k: 1, u: 1}.", "a": "1/143" }, { "q": "Calculate prob of picking 4 r and 1 b when five letters picked without replacement from rbrrrrbbbbrrrrb.", "a": "36/143" }, { "q": "Five letters picked without replacement from wmwtsktwsstjww. What is prob of picking 1 k and 4 w?", "a": "5/2002" }, { "q": "Five letters picked without replacement from {r: 11, v: 4}. Give prob of picking 3 v and 2 r.", "a": "20/273" }, { "q": "Five letters picked without replacement from eeeeeemeeempppeeeemm. What is prob of picking 1 m, 2 p, and 2 e?", "a": "39/646" }, { "q": "Five letters picked without replacement from {c: 6, p: 3, m: 4}. What is prob of picking 2 p and 3 m?", "a": "4/429" }, { "q": "Five letters picked without replacement from bsbbqsssssqsqqb. What is prob of picking 4 s and 1 b?", "a": "20/429" }, { "q": "Five letters picked without replacement from {p: 2, c: 2, b: 2, k: 7, i: 5}. Give prob of picking 4 i and 1 b.", "a": "5/4284" }, { "q": "Five letters picked without replacement from {t: 3, h: 9, n: 1}. Give prob of picking 5 h.", "a": "14/143" }, { "q": "Five letters picked without replacement from zbdlldlgzddzgbn. What is prob of picking 1 g, 1 z, and 3 d?", "a": "8/1001" }, { "q": "Calculate prob of picking 1 i, 1 w, and 3 e when five letters picked without replacement from ieieewniijiwii.", "a": "1/143" }, { "q": "Five letters picked without replacement from djddjnnddddjdndqmj. Give prob of picking 2 d and 3 j.", "a": "2/119" }, { "q": "What is prob of picking 3 j and 2 i when five letters picked without replacement from {j: 11, i: 2}?", "a": "5/39" }, { "q": "What is prob of picking 1 g, 1 y, and 3 h when five letters picked without replacement from yhqqhiihiqssgqhqyih?", "a": "5/2907" }, { "q": "What is prob of picking 2 b and 3 f when five letters picked without replacement from {f: 7, b: 13}?", "a": "455/2584" }, { "q": "Five letters picked without replacement from {j: 3, i: 11, w: 5}. What is prob of picking 1 i and 4 w?", "a": "55/11628" }, { "q": "Five letters picked without replacement from orsorrrngrroocrrgnr. Give prob of picking 2 n, 1 g, and 2 o.", "a": "1/969" }, { "q": "What is prob of picking 4 t and 1 f when five letters picked without replacement from {t: 10, f: 7}?", "a": "105/442" }, { "q": "Five letters picked without replacement from {x: 7, b: 12, a: 1}. What is prob of picking 3 x and 2 b?", "a": "385/2584" }, { "q": "What is prob of picking 3 b and 2 p when five letters picked without replacement from bpbbbbbpbbbppbbbbb?", "a": "13/51" }, { "q": "Five letters picked without replacement from jevxvevbjjjjjvsj. What is prob of picking 1 s, 1 b, and 3 v?", "a": "1/1092" }, { "q": "What is prob of picking 2 z and 3 m when five letters picked without replacement from {z: 6, m: 3, p: 2, e: 9}?", "a": "5/5168" }, { "q": "Five letters picked without replacement from vkkvckkcvvvvcvk. Give prob of picking 2 v and 3 k.", "a": "10/143" }, { "q": "Five letters picked without replacement from vascazasasavazaza. What is prob of picking 1 s, 1 c, and 3 z?", "a": "3/6188" }, { "q": "Five letters picked without replacement from clccccccwcccccccc. What is prob of picking 1 l, 1 w, and 3 c?", "a": "5/68" }, { "q": "What is prob of picking 2 q, 2 d, and 1 r when five letters picked without replacement from dqpadqrdqdaddqddd?", "a": "54/1547" }, { "q": "Five letters picked without replacement from eeeebeoeeoeoooee. Give prob of picking 1 b and 4 o.", "a": "5/4368" }, { "q": "Five letters picked without replacement from {k: 7, g: 4}. Give prob of picking 3 k and 2 g.", "a": "5/11" }, { "q": "Five letters picked without replacement from hhhanzhnahhhnhanhah. What is prob of picking 4 a and 1 n?", "a": "1/2907" }, { "q": "Five letters picked without replacement from {t: 2, u: 2, k: 3, z: 1}. Give prob of picking 1 t, 3 k, and 1 z.", "a": "1/28" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from ddddd?", "a": "1" }, { "q": "Five letters picked without replacement from wdwswddildliswdddi. What is prob of picking 1 l, 2 d, and 2 w?", "a": "1/34" }, { "q": "Calculate prob of picking 1 g, 1 t, and 3 n when five letters picked without replacement from {g: 4, n: 9, t: 2}.", "a": "32/143" }, { "q": "What is prob of picking 1 u, 2 l, and 2 s when five letters picked without replacement from uslsshhshlssusdls?", "a": "6/221" }, { "q": "What is prob of picking 4 f and 1 k when five letters picked without replacement from {k: 3, o: 3, f: 7}?", "a": "35/429" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from {e: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from {y: 2, u: 6, p: 3}. What is prob of picking 2 p, 1 u, and 2 y?", "a": "3/77" }, { "q": "Five letters picked without replacement from vtisjvjsssitst. What is prob of picking 1 i, 1 s, 1 v, and 2 t?", "a": "30/1001" }, { "q": "Five letters picked without replacement from aivifinnnnvvv. Give prob of picking 2 v, 1 i, 1 f, and 1 a.", "a": "2/143" }, { "q": "What is prob of picking 1 z, 1 p, 1 i, and 2 u when five letters picked without replacement from zuzfifpmuzpiumzupz?", "a": "5/238" }, { "q": "Five letters picked without replacement from npondnnndapoookd. What is prob of picking 1 n, 1 o, 1 d, and 2 k?", "a": "0" }, { "q": "Calculate prob of picking 4 y and 1 q when five letters picked without replacement from {t: 3, y: 1, q: 9}.", "a": "0" }, { "q": "Five letters picked without replacement from {k: 4, d: 2, z: 3, x: 2, i: 6, e: 3}. Give prob of picking 2 e and 3 i.", "a": "5/1292" }, { "q": "Five letters picked without replacement from {b: 2, h: 5, w: 7}. What is prob of picking 2 b and 3 w?", "a": "5/286" }, { "q": "Calculate prob of picking 2 u, 1 f, 1 d, and 1 r when five letters picked without replacement from ftuutrddfttt.", "a": "1/198" }, { "q": "Five letters picked without replacement from ynnnnnnnnnynnn. Give prob of picking 3 n and 2 y.", "a": "10/91" }, { "q": "What is prob of picking 3 e and 2 x when five letters picked without replacement from {e: 10, x: 2}?", "a": "5/33" }, { "q": "Calculate prob of picking 2 u, 2 y, and 1 k when five letters picked without replacement from {k: 7, y: 4, u: 2}.", "a": "14/429" }, { "q": "Calculate prob of picking 3 q and 2 c when five letters picked without replacement from cqqcqcqqc.", "a": "10/21" }, { "q": "Five letters picked without replacement from ssssspsrssrps. What is prob of picking 1 p, 2 r, and 2 s?", "a": "8/143" }, { "q": "Calculate prob of picking 3 b and 2 p when five letters picked without replacement from {b: 13, p: 6}.", "a": "715/1938" }, { "q": "Five letters picked without replacement from {f: 5, j: 1, i: 4, z: 6, k: 1}. What is prob of picking 4 i and 1 j?", "a": "1/6188" }, { "q": "Five letters picked without replacement from uyyupgfi. Give prob of picking 2 u, 1 y, 1 g, and 1 f.", "a": "1/28" }, { "q": "Five letters picked without replacement from ppopkpnpppppkkpoppk. What is prob of picking 1 n, 3 k, and 1 p?", "a": "4/969" }, { "q": "Five letters picked without replacement from rrpgprpp. Give prob of picking 2 r, 1 g, and 2 p.", "a": "9/28" }, { "q": "What is prob of picking 3 d, 1 s, and 1 j when five letters picked without replacement from jdddddcsd?", "a": "10/63" }, { "q": "What is prob of picking 2 i, 1 u, and 2 j when five letters picked without replacement from {b: 1, u: 1, j: 3, l: 1, i: 2}?", "a": "3/56" }, { "q": "Five letters picked without replacement from {w: 15, y: 4}. What is prob of picking 5 w?", "a": "1001/3876" }, { "q": "Five letters picked without replacement from crrkbucsubc. What is prob of picking 2 c, 2 r, and 1 u?", "a": "1/77" }, { "q": "Five letters picked without replacement from oqopouwqptopout. What is prob of picking 1 q, 1 t, 2 u, and 1 w?", "a": "4/3003" }, { "q": "Calculate prob of picking 1 c, 1 a, 1 k, and 2 x when five letters picked without replacement from acxaxackok.", "a": "1/21" }, { "q": "Calculate prob of picking 1 p and 4 t when five letters picked without replacement from {y: 3, t: 4, p: 11}.", "a": "11/8568" }, { "q": "Five letters picked without replacement from edeyedededdeedee. Give prob of picking 5 d.", "a": "1/728" }, { "q": "Five letters picked without replacement from {z: 6, u: 9}. What is prob of picking 3 z and 2 u?", "a": "240/1001" }, { "q": "Calculate prob of picking 3 p and 2 i when five letters picked without replacement from {i: 3, b: 6, p: 3, k: 1, o: 1}.", "a": "3/2002" }, { "q": "What is prob of picking 3 o and 2 i when five letters picked without replacement from oiiicoihoiohcoi?", "a": "50/1001" }, { "q": "Five letters picked without replacement from deexeuzzxzxezcecxccz. Give prob of picking 3 e and 2 c.", "a": "5/1292" }, { "q": "Five letters picked without replacement from {o: 2, h: 4, c: 10, x: 2, i: 1}. What is prob of picking 2 c, 1 i, and 2 o?", "a": "5/1292" }, { "q": "Calculate prob of picking 2 w and 3 c when five letters picked without replacement from ccwwwwcwww.", "a": "1/12" }, { "q": "Five letters picked without replacement from aaakkkaaakakaak. Give prob of picking 1 a and 4 k.", "a": "45/1001" }, { "q": "Calculate prob of picking 4 m and 1 n when five letters picked without replacement from {n: 1, i: 1, m: 11}.", "a": "10/39" }, { "q": "What is prob of picking 2 o and 3 r when five letters picked without replacement from rooorrroorrororrrr?", "a": "55/136" }, { "q": "Five letters picked without replacement from dzcdddccdd. Give prob of picking 5 d.", "a": "1/42" }, { "q": "Five letters picked without replacement from xdxxqdqqxqqqxqqxxu. What is prob of picking 2 d, 1 u, and 2 x?", "a": "1/408" }, { "q": "What is prob of picking 2 f, 2 k, and 1 u when five letters picked without replacement from {k: 9, f: 2, u: 4}?", "a": "48/1001" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {w: 14, k: 2}.", "a": "11/24" }, { "q": "Calculate prob of picking 2 s, 1 p, and 2 l when five letters picked without replacement from {s: 2, m: 2, l: 2, p: 1}.", "a": "1/21" }, { "q": "Calculate prob of picking 2 h, 1 z, and 2 c when five letters picked without replacement from {z: 2, k: 1, m: 2, a: 2, c: 3, h: 2}.", "a": "1/132" }, { "q": "Five letters picked without replacement from {m: 8, l: 1, o: 4, g: 5, n: 2}. What is prob of picking 2 o, 1 n, and 2 g?", "a": "5/646" }, { "q": "Five letters picked without replacement from {b: 14, i: 3}. What is prob of picking 4 b and 1 i?", "a": "33/68" }, { "q": "What is prob of picking 1 q, 2 n, and 2 g when five letters picked without replacement from nqgngnjgq?", "a": "1/7" }, { "q": "Five letters picked without replacement from {p: 11, t: 6}. What is prob of picking 4 p and 1 t?", "a": "495/1547" }, { "q": "Five letters picked without replacement from jjjmgjjgjwwjwmmm. Give prob of picking 2 m, 1 j, and 2 w.", "a": "3/104" }, { "q": "Five letters picked without replacement from {n: 1, b: 9, y: 2, t: 1, h: 6, z: 1}. Give prob of picking 1 t, 1 y, and 3 b.", "a": "7/646" }, { "q": "Five letters picked without replacement from uguzzbbgybyzbbbz. What is prob of picking 1 u, 3 b, and 1 z?", "a": "10/273" }, { "q": "Five letters picked without replacement from gsgggggggggggiiygggg. Give prob of picking 1 y and 4 g.", "a": "455/3876" }, { "q": "Five letters picked without replacement from {s: 6, h: 6}. Give prob of picking 4 s and 1 h.", "a": "5/44" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from aaaaaaa.", "a": "1" }, { "q": "What is prob of picking 1 i, 1 u, 1 z, and 2 r when five letters picked without replacement from uliiuzruri?", "a": "1/28" }, { "q": "Five letters picked without replacement from {d: 1, r: 9, o: 2, q: 5}. What is prob of picking 2 r, 2 o, and 1 q?", "a": "45/1547" }, { "q": "What is prob of picking 1 g and 4 x when five letters picked without replacement from {f: 2, g: 4, x: 7}?", "a": "140/1287" }, { "q": "Calculate prob of picking 1 t, 3 i, and 1 p when five letters picked without replacement from ipqooiqiqtq.", "a": "1/462" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {f: 2, t: 9, w: 9}.", "a": "21/2584" }, { "q": "Five letters picked without replacement from accacaacc. What is prob of picking 2 a and 3 c?", "a": "10/21" }, { "q": "Five letters picked without replacement from {m: 8, i: 5, l: 1}. What is prob of picking 2 i and 3 l?", "a": "0" }, { "q": "Five letters picked without replacement from {w: 2, o: 2, q: 1, h: 1}. Give prob of picking 2 h, 2 o, and 1 q.", "a": "0" }, { "q": "What is prob of picking 1 e and 4 f when five letters picked without replacement from {d: 3, e: 6, f: 11}?", "a": "165/1292" }, { "q": "Calculate prob of picking 2 d and 3 q when five letters picked without replacement from {d: 5, q: 4}.", "a": "20/63" }, { "q": "What is prob of picking 4 o and 1 m when five letters picked without replacement from ooooooommommmomo?", "a": "15/52" }, { "q": "Five letters picked without replacement from qqiqeqiiqiikhhkjqei. What is prob of picking 2 q, 1 j, 1 i, and 1 h?", "a": "5/323" }, { "q": "Five letters picked without replacement from {s: 7, h: 12}. Give prob of picking 1 h and 4 s.", "a": "35/969" }, { "q": "Five letters picked without replacement from lrldebdbrbe. What is prob of picking 1 e, 1 l, 1 d, and 2 b?", "a": "4/77" }, { "q": "Five letters picked without replacement from {w: 3, h: 16}. What is prob of picking 3 h and 2 w?", "a": "140/969" }, { "q": "Five letters picked without replacement from {d: 2, f: 1, s: 1, z: 4, n: 3, q: 5}. What is prob of picking 2 q and 3 n?", "a": "5/2184" }, { "q": "Calculate prob of picking 3 d and 2 b when five letters picked without replacement from {d: 5, b: 3, m: 1, s: 1}.", "a": "5/42" }, { "q": "Calculate prob of picking 1 p, 1 a, and 3 s when five letters picked without replacement from {s: 3, p: 2, a: 5}.", "a": "5/126" }, { "q": "What is prob of picking 3 d and 2 e when five letters picked without replacement from {e: 1, l: 8, d: 2, x: 8}?", "a": "0" }, { "q": "Five letters picked without replacement from mxddgmdmgrmrymxy. Give prob of picking 2 y, 1 m, 1 r, and 1 g.", "a": "5/1092" }, { "q": "Five letters picked without replacement from ppsprpspssppssppsu. What is prob of picking 2 s, 1 r, and 2 p?", "a": "3/34" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from {c: 5, s: 8, v: 5}.", "a": "1/8568" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from vvvzvqvqzvqvqvvzq?", "a": "1/6188" }, { "q": "Five letters picked without replacement from gxdxdndnddkgxdxnng. What is prob of picking 1 g and 4 x?", "a": "1/2856" }, { "q": "Calculate prob of picking 2 o, 1 v, 1 i, and 1 b when five letters picked without replacement from {b: 4, i: 3, o: 7, v: 6}.", "a": "63/646" }, { "q": "Five letters picked without replacement from {u: 4, n: 14}. What is prob of picking 5 n?", "a": "143/612" }, { "q": "Five letters picked without replacement from sssssskssssskkkk. Give prob of picking 5 k.", "a": "1/4368" }, { "q": "Five letters picked without replacement from {m: 2, y: 2, n: 2, p: 3}. Give prob of picking 2 y and 3 p.", "a": "1/126" }, { "q": "Five letters picked without replacement from {m: 1, n: 10, o: 2, y: 6}. What is prob of picking 2 o, 1 n, and 2 y?", "a": "25/1938" }, { "q": "Five letters picked without replacement from {i: 2, k: 1, p: 1, u: 2, n: 2}. What is prob of picking 2 u, 1 n, 1 i, and 1 k?", "a": "1/14" }, { "q": "Five letters picked without replacement from iiuiiiiibbuuui. Give prob of picking 4 i and 1 b.", "a": "10/143" }, { "q": "What is prob of picking 1 e, 2 x, and 2 q when five letters picked without replacement from xxexxxqeeeexeqex?", "a": "7/208" }, { "q": "What is prob of picking 1 m, 3 j, and 1 b when five letters picked without replacement from {m: 3, d: 2, b: 6, j: 7}?", "a": "5/68" }, { "q": "Five letters picked without replacement from foffomozzsfsszossszz. Give prob of picking 1 o, 1 m, and 3 s.", "a": "5/969" }, { "q": "What is prob of picking 1 b, 2 k, 1 a, and 1 v when five letters picked without replacement from {k: 2, u: 1, a: 1, m: 1, b: 1, v: 2}?", "a": "1/28" }, { "q": "Calculate prob of picking 3 t and 2 v when five letters picked without replacement from vtvtvvtbvvmvbp.", "a": "3/286" }, { "q": "Five letters picked without replacement from ttttt. What is prob of picking 5 t?", "a": "1" }, { "q": "What is prob of picking 2 n and 3 m when five letters picked without replacement from {n: 4, m: 6, e: 1}?", "a": "20/77" }, { "q": "Calculate prob of picking 3 b and 2 e when five letters picked without replacement from eeebbe.", "a": "0" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from rrrrrrrrr?", "a": "1" }, { "q": "Five letters picked without replacement from {r: 2, b: 15}. What is prob of picking 5 b?", "a": "33/68" }, { "q": "Five letters picked without replacement from {j: 4, v: 4, b: 2, w: 2, r: 2, k: 2}. Give prob of picking 1 r, 1 b, 1 k, 1 w, and 1 j.", "a": "4/273" }, { "q": "Calculate prob of picking 4 r and 1 w when five letters picked without replacement from {r: 7, w: 6}.", "a": "70/429" }, { "q": "Five letters picked without replacement from {a: 6, w: 4, r: 1}. What is prob of picking 1 r, 2 a, and 2 w?", "a": "15/77" }, { "q": "What is prob of picking 4 x and 1 y when five letters picked without replacement from {x: 11, y: 3}?", "a": "45/91" }, { "q": "Five letters picked without replacement from {s: 6}. What is prob of picking 5 s?", "a": "1" }, { "q": "Five letters picked without replacement from lllnnllllllnn. Give prob of picking 2 n and 3 l.", "a": "56/143" }, { "q": "What is prob of picking 1 w, 2 o, and 2 h when five letters picked without replacement from oohohohwo?", "a": "5/21" }, { "q": "What is prob of picking 2 o and 3 x when five letters picked without replacement from {o: 7, g: 2, x: 3, v: 2}?", "a": "3/286" }, { "q": "Five letters picked without replacement from veveevveeveev. What is prob of picking 5 e?", "a": "7/429" }, { "q": "What is prob of picking 2 s, 2 x, and 1 l when five letters picked without replacement from {l: 1, i: 3, n: 3, s: 5, x: 1, k: 3}?", "a": "0" }, { "q": "Five letters picked without replacement from sssssss. Give prob of picking 5 s.", "a": "1" }, { "q": "Five letters picked without replacement from {k: 3, s: 4, z: 6, f: 1}. What is prob of picking 1 z and 4 s?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {s: 7, j: 3, t: 6}. Give prob of picking 4 s and 1 t.", "a": "5/104" }, { "q": "Five letters picked without replacement from {q: 5}. Give prob of picking 5 q.", "a": "1" }, { "q": "What is prob of picking 1 e and 4 o when five letters picked without replacement from oekekoookeo?", "a": "5/154" }, { "q": "Five letters picked without replacement from {i: 8, n: 2}. Give prob of picking 2 n and 3 i.", "a": "2/9" }, { "q": "Five letters picked without replacement from wwwududddsuwuwudwdwd. What is prob of picking 3 d, 1 s, and 1 u?", "a": "175/15504" }, { "q": "Calculate prob of picking 4 f and 1 h when five letters picked without replacement from hhfhhfhfhffff.", "a": "70/429" }, { "q": "Five letters picked without replacement from {p: 1, b: 2, t: 2, z: 2, g: 5}. What is prob of picking 1 b, 1 p, 2 t, and 1 z?", "a": "1/198" }, { "q": "Five letters picked without replacement from lllllsllllsllll. Give prob of picking 1 s and 4 l.", "a": "10/21" }, { "q": "What is prob of picking 3 b and 2 l when five letters picked without replacement from {l: 2, e: 1, v: 3, j: 2, y: 5, b: 6}?", "a": "5/2907" }, { "q": "What is prob of picking 3 b and 2 u when five letters picked without replacement from bbbubbbbubb?", "a": "2/11" }, { "q": "Calculate prob of picking 2 h, 1 e, and 2 c when five letters picked without replacement from {e: 5, n: 1, c: 5, h: 3}.", "a": "75/1001" }, { "q": "What is prob of picking 3 c and 2 u when five letters picked without replacement from mhklucclucuch?", "a": "4/429" }, { "q": "What is prob of picking 1 v, 3 p, and 1 z when five letters picked without replacement from kwwwppwwzvvzpzkp?", "a": "1/182" }, { "q": "Five letters picked without replacement from tkztztzzzkztctctck. What is prob of picking 1 k, 2 z, 1 c, and 1 t?", "a": "45/476" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {s: 7, b: 4}.", "a": "1/22" }, { "q": "Five letters picked without replacement from {v: 1, u: 2, a: 3, m: 3, c: 5, p: 6}. Give prob of picking 1 v, 2 a, 1 c, and 1 u.", "a": "5/2584" }, { "q": "Five letters picked without replacement from mxzttzwwxvvzxt. Give prob of picking 2 w, 1 x, 1 m, and 1 t.", "a": "9/2002" }, { "q": "Five letters picked without replacement from {a: 8, q: 11}. What is prob of picking 4 q and 1 a?", "a": "220/969" }, { "q": "Five letters picked without replacement from {l: 2, o: 1, z: 2, h: 2, u: 1, x: 4}. What is prob of picking 1 o, 1 x, 2 z, and 1 u?", "a": "1/198" }, { "q": "Five letters picked without replacement from {h: 4, g: 6, x: 3}. Give prob of picking 5 g.", "a": "2/429" }, { "q": "Calculate prob of picking 1 y and 4 k when five letters picked without replacement from kkkykkkkkkykkkkky.", "a": "33/68" }, { "q": "Five letters picked without replacement from {n: 4, z: 8, f: 3}. Give prob of picking 1 n, 3 z, and 1 f.", "a": "32/143" }, { "q": "Five letters picked without replacement from {j: 5, t: 5, w: 3, a: 5, h: 1}. Give prob of picking 2 w and 3 t.", "a": "5/1938" }, { "q": "Five letters picked without replacement from {y: 5, r: 10}. What is prob of picking 3 y and 2 r?", "a": "150/1001" }, { "q": "Five letters picked without replacement from opsllpsppllsvlo. Give prob of picking 2 o, 1 s, 1 l, and 1 p.", "a": "20/1001" }, { "q": "What is prob of picking 1 y, 3 a, and 1 n when five letters picked without replacement from {m: 3, a: 4, n: 2, y: 5}?", "a": "20/1001" }, { "q": "What is prob of picking 1 p, 3 e, and 1 b when five letters picked without replacement from {v: 6, p: 1, e: 4, b: 1}?", "a": "1/198" }, { "q": "Five letters picked without replacement from ppipppiiperppp. Give prob of picking 2 p, 1 r, and 2 i.", "a": "54/1001" }, { "q": "What is prob of picking 1 f, 1 p, 2 a, and 1 v when five letters picked without replacement from {f: 2, t: 2, v: 2, a: 8, p: 1}?", "a": "16/429" }, { "q": "What is prob of picking 1 a and 4 r when five letters picked without replacement from {x: 1, o: 1, r: 9, a: 3, p: 1, f: 1}?", "a": "9/104" }, { "q": "Calculate prob of picking 1 m, 2 d, and 2 e when five letters picked without replacement from {d: 5, c: 1, m: 8, e: 3}.", "a": "60/1547" }, { "q": "Calculate prob of picking 3 z and 2 e when five letters picked without replacement from zeeeezzeezzzezzeeee.", "a": "770/2907" }, { "q": "Five letters picked without replacement from bggggbubbugbbbgcbbg. Give prob of picking 2 g and 3 b.", "a": "49/323" }, { "q": "Five letters picked without replacement from kvwvkwxrr. Give prob of picking 1 r, 2 k, 1 v, and 1 w.", "a": "4/63" }, { "q": "What is prob of picking 3 f and 2 z when five letters picked without replacement from ffzffzzzzzz?", "a": "2/11" }, { "q": "What is prob of picking 1 j and 4 b when five letters picked without replacement from {b: 9, j: 4}?", "a": "56/143" }, { "q": "Calculate prob of picking 1 n, 1 v, 2 m, and 1 s when five letters picked without replacement from {c: 2, v: 2, s: 1, n: 1, m: 5}.", "a": "10/231" }, { "q": "Five letters picked without replacement from {d: 1, c: 2, h: 2, r: 7}. Give prob of picking 2 h and 3 r.", "a": "35/792" }, { "q": "Calculate prob of picking 1 k, 2 n, 1 y, and 1 o when five letters picked without replacement from {k: 1, y: 1, n: 4, o: 2, h: 5, u: 2}.", "a": "4/1001" }, { "q": "Five letters picked without replacement from ooeowoxoxowooowoowww. What is prob of picking 5 x?", "a": "0" }, { "q": "What is prob of picking 2 b and 3 p when five letters picked without replacement from {s: 7, a: 1, p: 5, b: 5}?", "a": "25/2142" }, { "q": "Calculate prob of picking 1 a and 4 y when five letters picked without replacement from yyaaayay.", "a": "1/14" }, { "q": "Five letters picked without replacement from {s: 3, o: 2, w: 8, r: 1, f: 1, q: 5}. What is prob of picking 3 s and 2 q?", "a": "5/7752" }, { "q": "What is prob of picking 1 i and 4 d when five letters picked without replacement from {i: 6, d: 8, v: 3, t: 1}?", "a": "5/102" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from {l: 12, n: 6}?", "a": "11/119" }, { "q": "Five letters picked without replacement from iiiiiiiiiriiiiri. Give prob of picking 1 r and 4 i.", "a": "11/24" }, { "q": "Five letters picked without replacement from ggdgigcgfddggdidgd. Give prob of picking 1 i, 1 g, and 3 d.", "a": "40/1071" }, { "q": "Five letters picked without replacement from {o: 4, n: 1, k: 2, d: 1, m: 3, q: 2}. What is prob of picking 1 o, 1 d, 2 q, and 1 k?", "a": "8/1287" }, { "q": "Calculate prob of picking 1 p and 4 j when five letters picked without replacement from jjjjpjjjj.", "a": "5/9" }, { "q": "Five letters picked without replacement from jnkkljjzkkzm. What is prob of picking 2 k and 3 j?", "a": "1/132" }, { "q": "Five letters picked without replacement from viizbivuoiii. Give prob of picking 1 v and 4 i.", "a": "5/132" }, { "q": "Five letters picked without replacement from ssnllffmmtlttslll. What is prob of picking 1 s, 1 t, and 3 l?", "a": "45/1547" }, { "q": "Five letters picked without replacement from oxjiixi. What is prob of picking 3 i and 2 x?", "a": "1/21" }, { "q": "What is prob of picking 1 u and 4 l when five letters picked without replacement from {w: 3, v: 2, u: 1, l: 3, z: 4}?", "a": "0" }, { "q": "What is prob of picking 2 l and 3 d when five letters picked without replacement from dlbdddxxxbxlxlxlx?", "a": "6/1547" }, { "q": "Five letters picked without replacement from {m: 1, p: 2, w: 8, n: 1, a: 3, s: 2}. Give prob of picking 1 p, 1 n, 2 w, and 1 a.", "a": "6/221" }, { "q": "Five letters picked without replacement from wwwhouhohggooeuho. Give prob of picking 2 w, 1 e, and 2 u.", "a": "3/6188" }, { "q": "Five letters picked without replacement from {g: 6, x: 11}. Give prob of picking 2 x and 3 g.", "a": "275/1547" }, { "q": "What is prob of picking 3 d, 1 l, and 1 b when five letters picked without replacement from {d: 3, b: 2, l: 5, q: 5}?", "a": "10/3003" }, { "q": "Calculate prob of picking 2 u, 1 q, and 2 t when five letters picked without replacement from {q: 7, j: 3, u: 4, t: 6}.", "a": "105/2584" }, { "q": "What is prob of picking 2 g, 1 o, and 2 f when five letters picked without replacement from qfgafffggoobfqof?", "a": "45/1456" }, { "q": "Five letters picked without replacement from hllollrl. Give prob of picking 4 l and 1 r.", "a": "5/56" }, { "q": "What is prob of picking 2 e and 3 w when five letters picked without replacement from eeewwww?", "a": "4/7" }, { "q": "What is prob of picking 3 l and 2 y when five letters picked without replacement from whwllwuyhllwwyw?", "a": "4/3003" }, { "q": "Calculate prob of picking 4 w and 1 l when five letters picked without replacement from wwcwwwwclwww.", "a": "7/44" }, { "q": "Five letters picked without replacement from mmmgggmgmggmmgggg. Give prob of picking 5 g.", "a": "9/221" }, { "q": "Five letters picked without replacement from {m: 2, w: 2, b: 3, l: 2, t: 1}. Give prob of picking 2 w, 2 l, and 1 t.", "a": "1/252" }, { "q": "Calculate prob of picking 1 a and 4 t when five letters picked without replacement from {a: 2, t: 8}.", "a": "5/9" }, { "q": "What is prob of picking 1 p and 4 i when five letters picked without replacement from ppppppipiippiiii?", "a": "15/208" }, { "q": "Five letters picked without replacement from wwwyhwhhhhyww. What is prob of picking 1 y and 4 w?", "a": "10/429" }, { "q": "What is prob of picking 2 p, 1 z, and 2 o when five letters picked without replacement from wppwwpowozop?", "a": "1/44" }, { "q": "Five letters picked without replacement from {a: 8, p: 1, n: 5}. What is prob of picking 3 n and 2 a?", "a": "20/143" }, { "q": "Calculate prob of picking 4 j and 1 k when five letters picked without replacement from ejjjejjkjgjjjkjjegj.", "a": "55/646" }, { "q": "Five letters picked without replacement from hhhmmmhh. Give prob of picking 3 h and 2 m.", "a": "15/28" }, { "q": "What is prob of picking 2 e, 2 l, and 1 c when five letters picked without replacement from cveeeleeleleecclvle?", "a": "30/323" }, { "q": "Five letters picked without replacement from qxmmmtqqtmqxmmx. What is prob of picking 1 q, 1 t, 1 m, and 2 x?", "a": "48/1001" }, { "q": "Calculate prob of picking 2 x, 1 i, and 2 h when five letters picked without replacement from {i: 2, x: 6, h: 3}.", "a": "15/77" }, { "q": "Five letters picked without replacement from {b: 7, d: 4, e: 1}. What is prob of picking 1 e and 4 d?", "a": "1/792" }, { "q": "Calculate prob of picking 3 u, 1 i, and 1 z when five letters picked without replacement from {u: 3, t: 1, z: 2, i: 6, e: 1, f: 1}.", "a": "6/1001" }, { "q": "Five letters picked without replacement from {v: 5, n: 13}. What is prob of picking 1 v and 4 n?", "a": "3575/8568" }, { "q": "Calculate prob of picking 2 d, 2 j, and 1 l when five letters picked without replacement from {j: 2, l: 1, e: 1, k: 2, d: 3}.", "a": "1/42" }, { "q": "Calculate prob of picking 2 h and 3 w when five letters picked without replacement from uuwwuuuwuuuuhuhuhuuh.", "a": "1/2584" }, { "q": "Calculate prob of picking 1 k, 2 b, 1 v, and 1 f when five letters picked without replacement from {e: 1, v: 1, f: 4, k: 2, b: 2, x: 2}.", "a": "1/99" }, { "q": "Five letters picked without replacement from {z: 1, e: 8, n: 7, m: 4}. Give prob of picking 4 e and 1 z.", "a": "35/7752" }, { "q": "Calculate prob of picking 1 a, 2 l, and 2 w when five letters picked without replacement from {w: 1, o: 2, a: 1, x: 1, b: 2, l: 7}.", "a": "0" }, { "q": "Calculate prob of picking 1 o, 3 b, and 1 t when five letters picked without replacement from mobqrbotomrtmttrb.", "a": "3/1547" }, { "q": "What is prob of picking 2 z and 3 b when five letters picked without replacement from zbyyyybbyybbybzbb?", "a": "2/221" }, { "q": "What is prob of picking 4 k and 1 w when five letters picked without replacement from {k: 11, m: 1, w: 3, g: 3}?", "a": "55/476" }, { "q": "Five letters picked without replacement from feyyjfemf. Give prob of picking 1 m, 1 j, and 3 f.", "a": "1/126" }, { "q": "What is prob of picking 1 a, 1 o, 1 w, 1 n, and 1 k when five letters picked without replacement from onwaobbnkbkbb?", "a": "8/1287" }, { "q": "Five letters picked without replacement from eeeueueuu. Give prob of picking 5 e.", "a": "1/126" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from {a: 10, g: 10}.", "a": "21/1292" }, { "q": "Five letters picked without replacement from jelcjjeceleeqcqc. What is prob of picking 1 c, 2 q, 1 l, and 1 e?", "a": "5/546" }, { "q": "Calculate prob of picking 1 u, 3 z, and 1 k when five letters picked without replacement from {k: 2, i: 4, z: 4, f: 6, u: 3}.", "a": "2/969" }, { "q": "Calculate prob of picking 3 h, 1 a, and 1 b when five letters picked without replacement from jbaehjahbhahphebjhah.", "a": "35/1292" }, { "q": "Five letters picked without replacement from {p: 6, l: 6}. Give prob of picking 3 p and 2 l.", "a": "25/66" }, { "q": "Calculate prob of picking 1 a, 1 k, 1 u, 1 n, and 1 w when five letters picked without replacement from aabnwaaabkubbb.", "a": "5/2002" }, { "q": "Five letters picked without replacement from dzdldddeelezzlddzz. What is prob of picking 1 e and 4 z?", "a": "5/2856" }, { "q": "Five letters picked without replacement from maaaaamaaataaaaata. What is prob of picking 1 m and 4 a?", "a": "143/612" }, { "q": "Five letters picked without replacement from {e: 4, x: 3}. What is prob of picking 4 e and 1 x?", "a": "1/7" }, { "q": "Five letters picked without replacement from bjjbjjiiijj. What is prob of picking 2 b, 1 j, and 2 i?", "a": "3/77" }, { "q": "Five letters picked without replacement from vkiviivvihvvh. What is prob of picking 3 i, 1 h, and 1 k?", "a": "8/1287" }, { "q": "Calculate prob of picking 1 i, 2 k, 1 m, and 1 h when five letters picked without replacement from nhixhkhhikxmihxnh.", "a": "9/3094" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from eggggeeeeegee.", "a": "56/1287" }, { "q": "Five letters picked without replacement from {f: 6, j: 1, i: 7}. Give prob of picking 3 i and 2 f.", "a": "75/286" }, { "q": "Calculate prob of picking 3 p and 2 y when five letters picked without replacement from {p: 4, z: 2, y: 5}.", "a": "20/231" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from sssmsssmm.", "a": "1/21" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wwwwwwwgwwwwwugwgw?", "a": "143/612" }, { "q": "What is prob of picking 2 a and 3 u when five letters picked without replacement from {l: 1, u: 3, a: 8, x: 3, p: 2}?", "a": "1/221" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from {l: 5}?", "a": "1" }, { "q": "Calculate prob of picking 1 y and 4 q when five letters picked without replacement from qyqyqqyqy.", "a": "10/63" }, { "q": "What is prob of picking 1 p and 4 i when five letters picked without replacement from {p: 6, i: 11}?", "a": "495/1547" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from ffuffffnuf.", "a": "1/12" }, { "q": "Five letters picked without replacement from {t: 2, e: 3, l: 1, m: 2, p: 2}. What is prob of picking 2 e, 2 m, and 1 t?", "a": "1/42" }, { "q": "Five letters picked without replacement from sjidredie. Give prob of picking 4 i and 1 j.", "a": "0" }, { "q": "Five letters picked without replacement from {j: 1, t: 7, i: 4}. Give prob of picking 2 t and 3 i.", "a": "7/66" }, { "q": "What is prob of picking 2 x, 1 c, and 2 i when five letters picked without replacement from {n: 9, p: 2, x: 4, i: 2, c: 1, r: 2}?", "a": "1/2584" }, { "q": "Five letters picked without replacement from rjrjrrwrjwjjr. What is prob of picking 5 j?", "a": "1/1287" }, { "q": "What is prob of picking 3 u and 2 e when five letters picked without replacement from {e: 3, u: 2}?", "a": "0" }, { "q": "What is prob of picking 1 x and 4 y when five letters picked without replacement from wxywywwyxbyybwwx?", "a": "5/1456" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from aaajajjajj?", "a": "1/252" }, { "q": "Five letters picked without replacement from {v: 2, n: 8, q: 5}. Give prob of picking 2 v and 3 n.", "a": "8/429" }, { "q": "What is prob of picking 4 u and 1 l when five letters picked without replacement from {w: 1, l: 1, g: 2, u: 5}?", "a": "5/126" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from teyxeytyetteettyetye?", "a": "7/5168" }, { "q": "What is prob of picking 4 n and 1 u when five letters picked without replacement from {a: 2, n: 5, u: 1}?", "a": "5/56" }, { "q": "Five letters picked without replacement from {h: 7, b: 6, l: 2, y: 1, s: 1, x: 1}. Give prob of picking 1 l, 1 s, and 3 h.", "a": "5/612" }, { "q": "Five letters picked without replacement from yeweyeewwye. Give prob of picking 1 y, 1 w, and 3 e.", "a": "15/77" }, { "q": "Five letters picked without replacement from {s: 5, z: 5, q: 3}. Give prob of picking 2 s and 3 z.", "a": "100/1287" }, { "q": "Five letters picked without replacement from nnnnccncncnnccccc. Give prob of picking 2 c and 3 n.", "a": "72/221" }, { "q": "Calculate prob of picking 2 m, 1 t, and 2 d when five letters picked without replacement from {m: 3, d: 4, s: 3, t: 2}.", "a": "1/22" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from ddzzzdzzzmddfd.", "a": "3/1001" }, { "q": "Calculate prob of picking 2 j and 3 i when five letters picked without replacement from {p: 1, z: 1, j: 3, i: 3}.", "a": "3/56" }, { "q": "Five letters picked without replacement from {h: 4, d: 4, f: 9, v: 1}. Give prob of picking 1 v, 1 h, and 3 f.", "a": "2/51" }, { "q": "Five letters picked without replacement from rrrmrtrxmmvevemev. Give prob of picking 1 x, 1 v, 1 t, 1 m, and 1 e.", "a": "9/1547" }, { "q": "Five letters picked without replacement from {k: 11, b: 9}. Give prob of picking 3 b and 2 k.", "a": "385/1292" }, { "q": "What is prob of picking 2 d and 3 z when five letters picked without replacement from vdddvdzzzvdzvdv?", "a": "20/1001" }, { "q": "Five letters picked without replacement from {c: 6, g: 5}. What is prob of picking 5 c?", "a": "1/77" }, { "q": "Calculate prob of picking 3 o and 2 a when five letters picked without replacement from oaoaoojooaaaaoojaaoo.", "a": "70/323" }, { "q": "Calculate prob of picking 2 c and 3 f when five letters picked without replacement from ccccccfcfccf.", "a": "1/22" }, { "q": "Five letters picked without replacement from ehfhhhhhhhehhhhwyyh. What is prob of picking 1 f, 1 y, 1 h, and 2 e?", "a": "13/5814" }, { "q": "Five letters picked without replacement from {m: 7, k: 9}. What is prob of picking 5 m?", "a": "1/208" }, { "q": "Five letters picked without replacement from joqjoqjjlotooljtjqjp. What is prob of picking 2 q and 3 o?", "a": "5/2584" }, { "q": "Five letters picked without replacement from {t: 5}. What is prob of picking 5 t?", "a": "1" }, { "q": "Calculate prob of picking 2 s, 2 x, and 1 y when five letters picked without replacement from syxsxsxsx.", "a": "2/7" }, { "q": "Five letters picked without replacement from uekuukueeeeeteueeeu. What is prob of picking 5 e?", "a": "7/323" }, { "q": "Five letters picked without replacement from {h: 1, n: 5}. What is prob of picking 5 n?", "a": "1/6" }, { "q": "Five letters picked without replacement from agzzgzamzmdxzmdz. What is prob of picking 1 g, 3 m, and 1 x?", "a": "1/2184" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {l: 6, r: 14}.", "a": "1001/7752" }, { "q": "Five letters picked without replacement from {n: 1, c: 1, s: 2, g: 1, o: 1}. What is prob of picking 3 g and 2 n?", "a": "0" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {l: 7, e: 12}?", "a": "22/323" }, { "q": "Calculate prob of picking 4 m and 1 i when five letters picked without replacement from mimmimmmimimiiiii.", "a": "45/442" }, { "q": "What is prob of picking 1 h and 4 k when five letters picked without replacement from kkkhhhhkk?", "a": "10/63" }, { "q": "Five letters picked without replacement from vvnvnvnnnn. What is prob of picking 5 n?", "a": "1/42" }, { "q": "What is prob of picking 3 l and 2 d when five letters picked without replacement from yddylllllllylllyllll?", "a": "91/3876" }, { "q": "Five letters picked without replacement from ttpwgwgpwpwgggwppp. Give prob of picking 5 g.", "a": "1/8568" }, { "q": "What is prob of picking 1 a, 2 d, and 2 l when five letters picked without replacement from avlaldddvaddav?", "a": "20/1001" }, { "q": "Five letters picked without replacement from dddddhhdqddddqhqdd. Give prob of picking 3 q and 2 d.", "a": "11/1428" }, { "q": "What is prob of picking 1 z and 4 y when five letters picked without replacement from {y: 10, z: 2}?", "a": "35/66" }, { "q": "What is prob of picking 1 h, 1 t, 2 w, and 1 u when five letters picked without replacement from uuhwhuwwhuht?", "a": "2/33" }, { "q": "Five letters picked without replacement from pppopopopopp. What is prob of picking 4 o and 1 p?", "a": "1/99" }, { "q": "Five letters picked without replacement from {s: 3, m: 10, f: 1, i: 5}. Give prob of picking 1 f, 2 s, and 2 i.", "a": "5/1938" }, { "q": "What is prob of picking 2 v, 1 n, 1 b, and 1 h when five letters picked without replacement from vvzhnhrb?", "a": "1/28" }, { "q": "Five letters picked without replacement from rkirkorjiiikrfrrrjrk. What is prob of picking 1 f, 1 o, 1 j, and 2 i?", "a": "1/1292" }, { "q": "Five letters picked without replacement from {l: 15, g: 4}. What is prob of picking 3 l and 2 g?", "a": "455/1938" }, { "q": "What is prob of picking 1 a, 1 i, and 3 y when five letters picked without replacement from iaaayyyxiaxaaaiaixx?", "a": "8/2907" }, { "q": "Five letters picked without replacement from vhfjfvffffhfhfhhf. Give prob of picking 3 f and 2 v.", "a": "3/221" }, { "q": "Five letters picked without replacement from {n: 7}. What is prob of picking 5 n?", "a": "1" }, { "q": "Five letters picked without replacement from {h: 3, g: 3}. What is prob of picking 3 h and 2 g?", "a": "1/2" }, { "q": "Five letters picked without replacement from qqqaaqqquqaqquqqqqqq. What is prob of picking 1 q, 3 a, and 1 u?", "a": "5/2584" }, { "q": "Calculate prob of picking 1 f, 1 b, and 3 u when five letters picked without replacement from {s: 3, f: 2, p: 2, b: 1, u: 3, j: 7}.", "a": "1/4284" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from {b: 12, e: 6}.", "a": "11/119" }, { "q": "Calculate prob of picking 2 z and 3 j when five letters picked without replacement from zjszjjzjssjzzzzzz.", "a": "90/1547" }, { "q": "Five letters picked without replacement from koemeommoqmm. Give prob of picking 3 m, 1 o, and 1 k.", "a": "5/132" }, { "q": "Five letters picked without replacement from {s: 3, a: 7, y: 10}. Give prob of picking 2 s, 1 a, and 2 y.", "a": "315/5168" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from iiiimim.", "a": "1/21" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wwbwwwwwwbbwwwwwwb?", "a": "143/612" }, { "q": "Calculate prob of picking 2 f and 3 e when five letters picked without replacement from {f: 2, s: 3, e: 11}.", "a": "55/1456" }, { "q": "Five letters picked without replacement from {b: 4, r: 3, v: 2}. What is prob of picking 2 r, 2 b, and 1 v?", "a": "2/7" }, { "q": "Five letters picked without replacement from qqmmqqqmmmqqq. Give prob of picking 2 m and 3 q.", "a": "560/1287" }, { "q": "Calculate prob of picking 2 y, 2 d, and 1 k when five letters picked without replacement from {s: 2, k: 2, g: 1, d: 2, j: 3, y: 2}.", "a": "1/396" }, { "q": "Five letters picked without replacement from wfuuffwy. Give prob of picking 2 f, 1 y, 1 u, and 1 w.", "a": "3/14" }, { "q": "Five letters picked without replacement from {f: 2, c: 10, o: 6}. What is prob of picking 2 f and 3 o?", "a": "5/2142" }, { "q": "What is prob of picking 1 k, 1 g, and 3 q when five letters picked without replacement from {g: 2, q: 5, k: 2}?", "a": "20/63" }, { "q": "Five letters picked without replacement from {v: 7, t: 8, a: 2}. What is prob of picking 2 t and 3 v?", "a": "35/221" }, { "q": "What is prob of picking 1 l and 4 q when five letters picked without replacement from qqlqololluouqqqull?", "a": "5/476" }, { "q": "Calculate prob of picking 2 g and 3 h when five letters picked without replacement from ggghhggggghggggg.", "a": "1/56" }, { "q": "Five letters picked without replacement from {c: 1, j: 15}. Give prob of picking 4 j and 1 c.", "a": "5/16" }, { "q": "What is prob of picking 1 y and 4 q when five letters picked without replacement from {q: 7, s: 2, y: 6, n: 1, b: 1}?", "a": "15/442" }, { "q": "Five letters picked without replacement from cngjgcqgccgnenq. Give prob of picking 1 j, 1 e, and 3 c.", "a": "4/3003" }, { "q": "Five letters picked without replacement from {o: 7, a: 1, w: 5}. What is prob of picking 5 o?", "a": "7/429" }, { "q": "Five letters picked without replacement from ezpzzzzezzpzzz. What is prob of picking 4 z and 1 p?", "a": "30/143" }, { "q": "Calculate prob of picking 1 b and 4 u when five letters picked without replacement from {b: 2, u: 7}.", "a": "5/9" }, { "q": "Five letters picked without replacement from {b: 1, r: 1, a: 2, l: 1, n: 4}. Give prob of picking 4 n and 1 a.", "a": "1/63" }, { "q": "Five letters picked without replacement from ooomoomxommoommomoo. What is prob of picking 3 m and 2 o?", "a": "1925/11628" }, { "q": "What is prob of picking 4 o and 1 r when five letters picked without replacement from pbpgzzogbzbzzpbbropp?", "a": "0" }, { "q": "Calculate prob of picking 2 y, 1 h, 1 g, and 1 w when five letters picked without replacement from {g: 2, w: 2, s: 5, y: 6, h: 2}.", "a": "30/1547" }, { "q": "Five letters picked without replacement from {a: 2, x: 2, f: 4, r: 2, j: 9}. What is prob of picking 1 r, 3 j, and 1 a?", "a": "28/969" }, { "q": "Five letters picked without replacement from klekeehlekkek. Give prob of picking 2 k, 2 e, and 1 l.", "a": "200/1287" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from xxnyxyxyyynnyynny.", "a": "1/6188" }, { "q": "Five letters picked without replacement from {t: 1, d: 12}. What is prob of picking 5 d?", "a": "8/13" }, { "q": "Five letters picked without replacement from vlpvvfvispvsvsivvs. Give prob of picking 1 i and 4 v.", "a": "5/306" }, { "q": "Five letters picked without replacement from uicuoooucicuooo. Give prob of picking 1 c, 2 o, 1 i, and 1 u.", "a": "120/1001" }, { "q": "Five letters picked without replacement from hyyhyryhhyy. Give prob of picking 1 y and 4 h.", "a": "1/77" }, { "q": "Calculate prob of picking 2 i, 1 u, and 2 l when five letters picked without replacement from ucljliuliiziliull.", "a": "225/3094" }, { "q": "Five letters picked without replacement from {h: 1, t: 5}. Give prob of picking 1 h and 4 t.", "a": "5/6" }, { "q": "Calculate prob of picking 4 j and 1 c when five letters picked without replacement from jjcicjcyjy.", "a": "1/84" }, { "q": "What is prob of picking 4 n and 1 a when five letters picked without replacement from {a: 11, n: 8}?", "a": "385/5814" }, { "q": "Calculate prob of picking 3 t, 1 x, and 1 m when five letters picked without replacement from {c: 5, t: 3, m: 3, x: 1, z: 3}.", "a": "1/1001" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from sssssszss.", "a": "4/9" }, { "q": "Five letters picked without replacement from hbudpp. What is prob of picking 1 h and 4 d?", "a": "0" }, { "q": "Five letters picked without replacement from {n: 5, c: 8}. What is prob of picking 5 c?", "a": "56/1287" }, { "q": "What is prob of picking 1 b and 4 i when five letters picked without replacement from uiubuiuiiiiii?", "a": "70/1287" }, { "q": "Five letters picked without replacement from avaaaaaaaaaavaaa. Give prob of picking 4 a and 1 v.", "a": "11/24" }, { "q": "Calculate prob of picking 2 i and 3 c when five letters picked without replacement from icicciccccciicc.", "a": "400/1001" }, { "q": "Five letters picked without replacement from {d: 4, l: 2, e: 6, r: 4, s: 1}. Give prob of picking 1 l, 1 d, and 3 r.", "a": "8/1547" }, { "q": "What is prob of picking 1 m, 1 a, 1 z, and 2 n when five letters picked without replacement from {a: 2, m: 1, z: 1, n: 4}?", "a": "3/14" }, { "q": "What is prob of picking 3 m, 1 o, and 1 s when five letters picked without replacement from mosooommm?", "a": "8/63" }, { "q": "Five letters picked without replacement from aiaiiiimiaaimm. Give prob of picking 2 m and 3 a.", "a": "6/1001" }, { "q": "Five letters picked without replacement from {d: 4, f: 7, c: 1}. Give prob of picking 3 f, 1 c, and 1 d.", "a": "35/198" }, { "q": "What is prob of picking 1 w, 2 s, 1 e, and 1 r when five letters picked without replacement from srweaaeaasrsekaaeak?", "a": "2/969" }, { "q": "Five letters picked without replacement from {i: 2, f: 3, n: 12, p: 2}. What is prob of picking 5 n?", "a": "22/323" }, { "q": "Five letters picked without replacement from {u: 2, n: 9, p: 6, f: 2}. Give prob of picking 1 f, 2 p, and 2 n.", "a": "30/323" }, { "q": "Calculate prob of picking 1 p, 1 l, and 3 t when five letters picked without replacement from {l: 6, t: 3, p: 1}.", "a": "1/42" }, { "q": "Five letters picked without replacement from lmxlmlxlxpllxrxrxl. Give prob of picking 1 p, 3 x, and 1 l.", "a": "5/306" }, { "q": "Five letters picked without replacement from {f: 2, r: 1, d: 6}. What is prob of picking 5 d?", "a": "1/21" }, { "q": "Five letters picked without replacement from tyyyyyyyyy. Give prob of picking 4 y and 1 t.", "a": "1/2" }, { "q": "Calculate prob of picking 1 p, 1 x, 1 s, and 2 z when five letters picked without replacement from pxxsxmmsrxzz.", "a": "1/99" }, { "q": "What is prob of picking 4 n and 1 r when five letters picked without replacement from gnyngrrqnrrqghhrhngn?", "a": "25/15504" }, { "q": "Five letters picked without replacement from {f: 2, v: 2, j: 6}. Give prob of picking 2 f and 3 j.", "a": "5/63" }, { "q": "What is prob of picking 1 s, 1 y, 1 b, 1 a, and 1 h when five letters picked without replacement from {s: 4, y: 5, d: 4, b: 2, h: 2, a: 3}?", "a": "5/323" }, { "q": "What is prob of picking 3 c and 2 k when five letters picked without replacement from {k: 2, c: 11}?", "a": "5/39" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from sbbbbubu.", "a": "1/56" }, { "q": "Five letters picked without replacement from hkhoioii. What is prob of picking 2 i, 1 k, 1 o, and 1 h?", "a": "3/14" }, { "q": "Five letters picked without replacement from {j: 7, g: 1, z: 7, o: 3}. What is prob of picking 4 z and 1 o?", "a": "5/408" }, { "q": "What is prob of picking 3 o and 2 c when five letters picked without replacement from oooooocooooooooc?", "a": "1/12" }, { "q": "What is prob of picking 3 c, 1 t, and 1 a when five letters picked without replacement from tctttcrctrtartattt?", "a": "5/2142" }, { "q": "Five letters picked without replacement from {f: 2, q: 1, j: 4, c: 1, a: 6, z: 2}. Give prob of picking 2 j, 1 a, and 2 f.", "a": "3/364" }, { "q": "What is prob of picking 2 s, 2 e, and 1 f when five letters picked without replacement from eesfsefife?", "a": "1/14" }, { "q": "Calculate prob of picking 2 t and 3 x when five letters picked without replacement from {x: 6, t: 3}.", "a": "10/21" }, { "q": "Five letters picked without replacement from nnwnwowwnoonw. Give prob of picking 1 o and 4 w.", "a": "5/429" }, { "q": "Five letters picked without replacement from {z: 3, i: 1, o: 2, e: 5}. What is prob of picking 2 o, 1 i, and 2 e?", "a": "5/231" }, { "q": "Five letters picked without replacement from zzdbbdbbzcb. Give prob of picking 3 z and 2 d.", "a": "1/462" }, { "q": "Calculate prob of picking 2 m, 1 e, 1 g, and 1 o when five letters picked without replacement from {w: 1, m: 3, o: 1, y: 2, g: 6, e: 2}.", "a": "12/1001" }, { "q": "What is prob of picking 1 w, 1 p, 2 c, and 1 x when five letters picked without replacement from {x: 1, s: 1, p: 1, w: 1, c: 2}?", "a": "1/6" }, { "q": "Calculate prob of picking 2 p and 3 c when five letters picked without replacement from {c: 1, p: 5, w: 11}.", "a": "0" }, { "q": "What is prob of picking 1 f, 3 d, and 1 k when five letters picked without replacement from sfqddkdkk?", "a": "1/42" }, { "q": "Calculate prob of picking 1 q, 3 n, and 1 j when five letters picked without replacement from qqjnqnn.", "a": "1/7" }, { "q": "Calculate prob of picking 3 s and 2 p when five letters picked without replacement from {i: 2, p: 8, s: 7}.", "a": "35/221" }, { "q": "What is prob of picking 1 x, 1 c, 2 s, and 1 b when five letters picked without replacement from {c: 3, s: 2, b: 1, x: 1, d: 1}?", "a": "3/56" }, { "q": "Calculate prob of picking 1 x, 2 c, 1 d, and 1 q when five letters picked without replacement from {x: 1, i: 4, r: 3, d: 4, c: 3, q: 1}.", "a": "1/364" }, { "q": "Five letters picked without replacement from bgbgugbggbu. Give prob of picking 4 g and 1 b.", "a": "10/231" }, { "q": "Five letters picked without replacement from {w: 3, c: 2, t: 5, b: 5, o: 4}. Give prob of picking 2 t and 3 b.", "a": "25/2907" }, { "q": "What is prob of picking 1 z, 3 g, and 1 y when five letters picked without replacement from lgolygxglzz?", "a": "1/231" }, { "q": "What is prob of picking 1 m, 1 h, 1 j, 1 i, and 1 x when five letters picked without replacement from xmjkmihh?", "a": "1/14" }, { "q": "Five letters picked without replacement from {d: 2, e: 10}. What is prob of picking 5 e?", "a": "7/22" }, { "q": "Five letters picked without replacement from {e: 3, i: 5, z: 4, k: 8}. Give prob of picking 2 i, 2 z, and 1 k.", "a": "10/323" }, { "q": "Five letters picked without replacement from {g: 3, n: 6, h: 5, t: 2}. Give prob of picking 2 t, 1 h, and 2 g.", "a": "5/1456" }, { "q": "Five letters picked without replacement from wbwwbbwwwbbwwwwwww. What is prob of picking 1 w and 4 b?", "a": "65/8568" }, { "q": "What is prob of picking 3 p, 1 s, and 1 y when five letters picked without replacement from oppsoyypoyyoooyyppo?", "a": "5/969" }, { "q": "Calculate prob of picking 1 v, 2 z, and 2 r when five letters picked without replacement from ooovrrzozor.", "a": "1/154" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from {u: 5, k: 14}?", "a": "1/11628" }, { "q": "Five letters picked without replacement from jvjvvvvtjvttjt. Give prob of picking 4 t and 1 v.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {f: 1, h: 4, n: 2, g: 3, y: 8}. What is prob of picking 3 g and 2 y?", "a": "1/306" }, { "q": "What is prob of picking 4 n and 1 z when five letters picked without replacement from {z: 3, m: 2, u: 3, n: 10}?", "a": "5/68" }, { "q": "Calculate prob of picking 1 d, 1 w, 2 g, and 1 e when five letters picked without replacement from {r: 3, g: 4, e: 3, d: 2, w: 1}.", "a": "4/143" }, { "q": "What is prob of picking 2 f, 2 r, and 1 j when five letters picked without replacement from ffffqrfrffjrjfffrfq?", "a": "55/969" }, { "q": "Five letters picked without replacement from bvbebbebbbbbb. What is prob of picking 1 e, 1 v, and 3 b?", "a": "80/429" }, { "q": "What is prob of picking 3 l, 1 q, and 1 m when five letters picked without replacement from fnflfqfllllflnmfq?", "a": "10/1547" }, { "q": "Five letters picked without replacement from uimuumrrurmr. What is prob of picking 1 r, 2 m, and 2 u?", "a": "1/11" }, { "q": "Five letters picked without replacement from {j: 2, i: 1, s: 1, g: 2, d: 6, h: 6}. What is prob of picking 2 h, 1 s, 1 j, and 1 g?", "a": "5/714" }, { "q": "What is prob of picking 2 e, 2 f, and 1 r when five letters picked without replacement from eefeeyfexrrr?", "a": "5/132" }, { "q": "What is prob of picking 1 f and 4 r when five letters picked without replacement from {f: 6, r: 14}?", "a": "1001/2584" }, { "q": "Five letters picked without replacement from {v: 7, u: 13}. Give prob of picking 5 v.", "a": "7/5168" }, { "q": "Five letters picked without replacement from {f: 10, h: 6}. Give prob of picking 5 f.", "a": "3/52" }, { "q": "Five letters picked without replacement from {a: 2, b: 3, g: 1, r: 2, s: 3, c: 5}. Give prob of picking 1 r, 1 s, 1 b, and 2 c.", "a": "15/364" }, { "q": "What is prob of picking 1 z, 2 l, and 2 j when five letters picked without replacement from {l: 2, w: 2, d: 2, z: 2, j: 2, e: 3}?", "a": "2/1287" }, { "q": "Five letters picked without replacement from {d: 4, y: 2, i: 6}. What is prob of picking 5 i?", "a": "1/132" }, { "q": "What is prob of picking 2 l, 1 b, and 2 u when five letters picked without replacement from {z: 5, i: 2, g: 3, b: 3, l: 2, u: 3}?", "a": "1/952" }, { "q": "Calculate prob of picking 3 q and 2 d when five letters picked without replacement from qdqqqqqqqqqqqdqqqqq.", "a": "10/171" }, { "q": "Five letters picked without replacement from pxdyxxdxxydiidpd. What is prob of picking 2 i, 2 x, and 1 p?", "a": "5/1092" }, { "q": "Five letters picked without replacement from {f: 6, x: 10}. Give prob of picking 2 x and 3 f.", "a": "75/364" }, { "q": "Calculate prob of picking 1 j, 1 q, and 3 n when five letters picked without replacement from jqqonqqqoqoonono.", "a": "1/728" }, { "q": "Calculate prob of picking 3 p and 2 y when five letters picked without replacement from {y: 9, p: 7, t: 3}.", "a": "35/323" }, { "q": "Five letters picked without replacement from iooninsmmoxm. Give prob of picking 1 i, 2 o, 1 n, and 1 s.", "a": "1/66" }, { "q": "Calculate prob of picking 2 s, 1 c, and 2 q when five letters picked without replacement from {q: 10, s: 6, c: 3}.", "a": "225/1292" }, { "q": "Calculate prob of picking 4 r and 1 e when five letters picked without replacement from rrerrrreujeere.", "a": "25/286" }, { "q": "Calculate prob of picking 2 x, 1 p, and 2 t when five letters picked without replacement from ttxpttx.", "a": "2/7" }, { "q": "Five letters picked without replacement from {j: 5, v: 3, k: 2, f: 6, w: 1}. Give prob of picking 4 j and 1 v.", "a": "15/6188" }, { "q": "Calculate prob of picking 1 i, 3 e, and 1 v when five letters picked without replacement from {v: 8, e: 5, i: 2}.", "a": "160/3003" }, { "q": "Five letters picked without replacement from jjnjjjjjjnnj. Give prob of picking 3 j and 2 n.", "a": "7/22" }, { "q": "What is prob of picking 1 p, 1 q, 2 f, and 1 i when five letters picked without replacement from fipfufuiqfkiipiqi?", "a": "36/1547" }, { "q": "Five letters picked without replacement from hhaatth. What is prob of picking 3 h and 2 a?", "a": "1/21" }, { "q": "What is prob of picking 3 u, 1 w, and 1 i when five letters picked without replacement from uluwwuuuwuuuuuwiwj?", "a": "25/357" }, { "q": "What is prob of picking 4 n and 1 e when five letters picked without replacement from eneenneennen?", "a": "5/44" }, { "q": "Calculate prob of picking 2 l and 3 d when five letters picked without replacement from mxxxxmldxllxdxdlllll.", "a": "7/3876" }, { "q": "What is prob of picking 3 d, 1 v, and 1 k when five letters picked without replacement from {v: 3, k: 1, d: 4, i: 3}?", "a": "2/77" }, { "q": "Five letters picked without replacement from {q: 12, f: 5}. What is prob of picking 1 f and 4 q?", "a": "2475/6188" }, { "q": "What is prob of picking 1 b, 3 u, and 1 m when five letters picked without replacement from {u: 6, b: 1, i: 1, m: 1, p: 4}?", "a": "20/1287" }, { "q": "Five letters picked without replacement from {f: 5, i: 1, a: 8}. What is prob of picking 2 a and 3 f?", "a": "20/143" }, { "q": "Calculate prob of picking 1 x and 4 n when five letters picked without replacement from {n: 4, x: 12}.", "a": "1/364" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from eeeeezezeezzeezzeze.", "a": "22/323" }, { "q": "Five letters picked without replacement from ninnnniininnn. What is prob of picking 4 n and 1 i?", "a": "56/143" }, { "q": "Five letters picked without replacement from {h: 5, z: 1, d: 6, m: 4}. What is prob of picking 2 h, 2 d, and 1 m?", "a": "25/182" }, { "q": "Five letters picked without replacement from pjvvvv. What is prob of picking 1 j, 3 v, and 1 p?", "a": "2/3" }, { "q": "What is prob of picking 1 u and 4 s when five letters picked without replacement from {u: 8, s: 4}?", "a": "1/99" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {s: 8}.", "a": "1" }, { "q": "Calculate prob of picking 3 d and 2 e when five letters picked without replacement from dddddedde.", "a": "5/18" }, { "q": "Calculate prob of picking 4 b and 1 o when five letters picked without replacement from bzbbzbzbzbbbzzzzbozz.", "a": "21/2584" }, { "q": "Five letters picked without replacement from eneennrteteeenne. Give prob of picking 1 t and 4 n.", "a": "5/2184" }, { "q": "Calculate prob of picking 1 z, 3 s, and 1 o when five letters picked without replacement from zospzoospososposo.", "a": "5/221" }, { "q": "Five letters picked without replacement from qvuvvvvuvq. Give prob of picking 1 u, 1 q, and 3 v.", "a": "20/63" }, { "q": "Calculate prob of picking 1 d, 1 y, and 3 l when five letters picked without replacement from {y: 2, l: 4, d: 7, z: 4}.", "a": "2/221" }, { "q": "Five letters picked without replacement from qqqbaqbqqqasb. What is prob of picking 1 a, 3 q, and 1 b?", "a": "70/429" }, { "q": "Five letters picked without replacement from pmfvmvmvvbvb. What is prob of picking 1 b and 4 v?", "a": "5/396" }, { "q": "Five letters picked without replacement from eiknmoe. Give prob of picking 1 i, 2 m, 1 k, and 1 o.", "a": "0" }, { "q": "Five letters picked without replacement from {s: 2, g: 3, c: 4, b: 4}. What is prob of picking 2 g, 1 s, 1 b, and 1 c?", "a": "32/429" }, { "q": "What is prob of picking 1 z, 3 m, and 1 s when five letters picked without replacement from {z: 3, s: 1, v: 4, d: 3, o: 2, m: 3}?", "a": "1/1456" }, { "q": "Five letters picked without replacement from yyyyyjyylyy. What is prob of picking 2 l and 3 y?", "a": "0" }, { "q": "Five letters picked without replacement from gljjljeejlegjgljl. Give prob of picking 2 j, 1 l, and 2 e.", "a": "225/6188" }, { "q": "Calculate prob of picking 1 k and 4 a when five letters picked without replacement from {k: 3, a: 6, e: 1}.", "a": "5/28" }, { "q": "What is prob of picking 3 q and 2 g when five letters picked without replacement from gqggggqqgqqgqggqqq?", "a": "6/17" }, { "q": "Five letters picked without replacement from {y: 4, w: 1, e: 3, a: 2, u: 2, j: 1}. Give prob of picking 1 e, 2 u, 1 w, and 1 a.", "a": "2/429" }, { "q": "Calculate prob of picking 2 f, 1 y, 1 q, and 1 r when five letters picked without replacement from {f: 3, o: 10, y: 1, q: 1, r: 1}.", "a": "1/1456" }, { "q": "Calculate prob of picking 1 s, 3 y, and 1 j when five letters picked without replacement from {b: 3, w: 5, j: 1, x: 6, s: 2, y: 3}.", "a": "1/7752" }, { "q": "Five letters picked without replacement from nfyfhycaf. What is prob of picking 1 n, 1 y, 1 f, 1 a, and 1 c?", "a": "1/21" }, { "q": "Five letters picked without replacement from {c: 10, q: 1, s: 1}. What is prob of picking 1 s, 1 q, and 3 c?", "a": "5/33" }, { "q": "Five letters picked without replacement from {d: 4, y: 4, o: 6, u: 3}. Give prob of picking 4 y and 1 o.", "a": "3/3094" }, { "q": "Five letters picked without replacement from feofkffuufff. What is prob of picking 3 f, 1 o, and 1 k?", "a": "35/792" }, { "q": "What is prob of picking 1 l, 2 x, and 2 w when five letters picked without replacement from {l: 2, a: 5, y: 1, x: 3, j: 5, w: 3}?", "a": "1/646" }, { "q": "What is prob of picking 1 u, 1 n, 1 i, and 2 a when five letters picked without replacement from aunqnnniauquqan?", "a": "15/1001" }, { "q": "Five letters picked without replacement from kidjekwk. What is prob of picking 1 j, 1 i, 1 d, and 2 k?", "a": "3/56" }, { "q": "What is prob of picking 1 s and 4 k when five letters picked without replacement from vkkkkvvsvs?", "a": "1/126" }, { "q": "Five letters picked without replacement from {h: 2, e: 7}. What is prob of picking 5 e?", "a": "1/6" }, { "q": "Five letters picked without replacement from {g: 4, v: 3, m: 4, y: 6}. What is prob of picking 3 g, 1 m, and 1 v?", "a": "12/1547" }, { "q": "Five letters picked without replacement from dttttdttdttttttt. Give prob of picking 5 t.", "a": "33/112" }, { "q": "Five letters picked without replacement from aaaaaa. Give prob of picking 5 a.", "a": "1" }, { "q": "Calculate prob of picking 1 r, 1 g, and 3 s when five letters picked without replacement from {s: 4, g: 2, r: 2}.", "a": "2/7" }, { "q": "Calculate prob of picking 2 v, 2 z, and 1 s when five letters picked without replacement from vvzwwsvsssssvwsevsz.", "a": "20/2907" }, { "q": "Five letters picked without replacement from {b: 2, z: 1, q: 3, s: 4}. Give prob of picking 4 s and 1 b.", "a": "1/126" }, { "q": "What is prob of picking 2 u, 2 b, and 1 d when five letters picked without replacement from {n: 2, j: 2, u: 3, b: 2, d: 4}?", "a": "4/429" }, { "q": "What is prob of picking 1 d, 1 j, and 3 w when five letters picked without replacement from dwfjfwfdwdjf?", "a": "1/132" }, { "q": "Five letters picked without replacement from {y: 5, l: 8}. Give prob of picking 3 l and 2 y.", "a": "560/1287" }, { "q": "What is prob of picking 1 q and 4 b when five letters picked without replacement from bqbqrbbpbbb?", "a": "5/33" }, { "q": "Five letters picked without replacement from {g: 5, t: 6, z: 3}. Give prob of picking 2 g, 2 t, and 1 z.", "a": "225/1001" }, { "q": "What is prob of picking 2 w and 3 p when five letters picked without replacement from wccmcccmcccuupcppcwp?", "a": "1/3876" }, { "q": "Five letters picked without replacement from {a: 3, t: 1, y: 14, g: 1}. What is prob of picking 1 t, 3 a, and 1 g?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {f: 7, l: 3}. Give prob of picking 4 f and 1 l.", "a": "5/12" }, { "q": "Calculate prob of picking 1 b and 4 l when five letters picked without replacement from lllllblbll.", "a": "5/9" }, { "q": "Five letters picked without replacement from {p: 7, o: 6, c: 1, s: 3, r: 3}. What is prob of picking 2 o, 1 c, 1 s, and 1 p?", "a": "105/5168" }, { "q": "Calculate prob of picking 1 x, 2 n, and 2 m when five letters picked without replacement from {k: 6, x: 2, m: 5, n: 2, z: 1, s: 3}.", "a": "5/2907" }, { "q": "Five letters picked without replacement from {d: 6}. Give prob of picking 5 d.", "a": "1" }, { "q": "Five letters picked without replacement from uooiiizoilziuic. What is prob of picking 2 u, 2 i, and 1 c?", "a": "5/1001" }, { "q": "Calculate prob of picking 1 c and 4 f when five letters picked without replacement from {f: 3, c: 4, q: 1, x: 3, s: 2}.", "a": "0" }, { "q": "Five letters picked without replacement from eedeeydddedoi. What is prob of picking 1 i, 1 o, 2 e, and 1 d?", "a": "50/1287" }, { "q": "What is prob of picking 3 f and 2 p when five letters picked without replacement from {t: 3, a: 1, f: 7, p: 2}?", "a": "35/1287" }, { "q": "Five letters picked without replacement from soososooooooosoooos. What is prob of picking 5 s?", "a": "1/11628" }, { "q": "What is prob of picking 3 m and 2 g when five letters picked without replacement from gmggggmggmmgmmggmgg?", "a": "385/1938" }, { "q": "Calculate prob of picking 4 x and 1 a when five letters picked without replacement from xxuxxaxxx.", "a": "5/18" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from {t: 4, s: 1, a: 5, l: 2, o: 2}.", "a": "1/2002" }, { "q": "Five letters picked without replacement from xxgtststpxxspxugxx. Give prob of picking 3 x, 1 u, and 1 t.", "a": "5/408" }, { "q": "Five letters picked without replacement from {o: 11, f: 6}. What is prob of picking 1 f and 4 o?", "a": "495/1547" }, { "q": "Five letters picked without replacement from {i: 3, x: 3, g: 2, p: 1, b: 3, c: 1}. What is prob of picking 2 g and 3 b?", "a": "1/1287" }, { "q": "What is prob of picking 1 u and 4 z when five letters picked without replacement from uuzzzzzzzzzzzzzz?", "a": "11/24" }, { "q": "What is prob of picking 1 e, 1 v, 1 p, and 2 g when five letters picked without replacement from gagppppvvvvgapagegg?", "a": "25/969" }, { "q": "Five letters picked without replacement from {n: 5, q: 8}. What is prob of picking 3 q and 2 n?", "a": "560/1287" }, { "q": "What is prob of picking 1 c, 1 t, 2 g, and 1 j when five letters picked without replacement from {j: 5, g: 4, c: 2, m: 1, t: 1}?", "a": "20/429" }, { "q": "Calculate prob of picking 1 l, 3 x, and 1 k when five letters picked without replacement from xxxkklxklxkkxlrlkl.", "a": "25/357" }, { "q": "Five letters picked without replacement from {p: 1, n: 1, c: 2, o: 1, f: 4, e: 1}. Give prob of picking 1 o, 2 e, and 2 n.", "a": "0" }, { "q": "Five letters picked without replacement from {l: 3, w: 4, j: 1, u: 2}. What is prob of picking 4 w and 1 j?", "a": "1/252" }, { "q": "Five letters picked without replacement from {r: 5, k: 6}. What is prob of picking 4 k and 1 r?", "a": "25/154" }, { "q": "Calculate prob of picking 4 p and 1 z when five letters picked without replacement from {p: 4, z: 9, a: 2}.", "a": "3/1001" }, { "q": "What is prob of picking 1 j and 4 u when five letters picked without replacement from {j: 2, k: 1, u: 9}?", "a": "7/22" }, { "q": "Five letters picked without replacement from xlxppaarxlplm. Give prob of picking 1 r, 1 a, 1 l, and 2 p.", "a": "2/143" }, { "q": "Five letters picked without replacement from {c: 1, z: 4, x: 3, n: 5, s: 6}. Give prob of picking 4 s and 1 n.", "a": "25/3876" }, { "q": "Five letters picked without replacement from {q: 8, r: 11}. Give prob of picking 5 r.", "a": "77/1938" }, { "q": "Calculate prob of picking 3 x and 2 a when five letters picked without replacement from xxxxaaxxx.", "a": "5/18" }, { "q": "Calculate prob of picking 2 h and 3 s when five letters picked without replacement from {h: 2, x: 2, s: 3}.", "a": "1/21" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from eessseses.", "a": "1/126" }, { "q": "Five letters picked without replacement from wwwxxwwwxwxwwxxxwxx. Give prob of picking 3 w and 2 x.", "a": "120/323" }, { "q": "Calculate prob of picking 2 b, 1 v, and 2 k when five letters picked without replacement from {l: 1, w: 1, n: 1, v: 4, k: 4, b: 5}.", "a": "5/91" }, { "q": "Five letters picked without replacement from {l: 2, v: 13}. What is prob of picking 4 v and 1 l?", "a": "10/21" }, { "q": "Calculate prob of picking 3 p, 1 s, and 1 a when five letters picked without replacement from apapctsctapp.", "a": "1/66" }, { "q": "Calculate prob of picking 2 r, 2 w, and 1 g when five letters picked without replacement from awwagawgwwgawwwarra.", "a": "7/969" }, { "q": "What is prob of picking 2 v, 2 g, and 1 o when five letters picked without replacement from {o: 5, v: 7, g: 5}?", "a": "75/442" }, { "q": "Five letters picked without replacement from {a: 3, e: 9}. Give prob of picking 2 a and 3 e.", "a": "7/22" }, { "q": "What is prob of picking 1 d and 4 i when five letters picked without replacement from doidooiddiodooodi?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {g: 3, e: 11}. Give prob of picking 3 e and 2 g.", "a": "45/182" }, { "q": "Five letters picked without replacement from tataaa. Give prob of picking 1 t and 4 a.", "a": "1/3" }, { "q": "Calculate prob of picking 2 z, 1 p, 1 o, and 1 u when five letters picked without replacement from {p: 2, z: 2, o: 1, u: 3}.", "a": "3/28" }, { "q": "Five letters picked without replacement from dqblqqdbdbrqbdlqc. Give prob of picking 4 q and 1 c.", "a": "5/6188" }, { "q": "Five letters picked without replacement from {s: 4, m: 9, n: 3, u: 2, h: 2}. What is prob of picking 1 m, 2 s, 1 n, and 1 h?", "a": "27/1292" }, { "q": "What is prob of picking 1 l and 4 u when five letters picked without replacement from llulllulullullzzuzl?", "a": "55/11628" }, { "q": "Five letters picked without replacement from {f: 4, w: 4, k: 1, i: 7, s: 4}. What is prob of picking 4 f and 1 k?", "a": "1/15504" }, { "q": "What is prob of picking 3 y, 1 c, and 1 w when five letters picked without replacement from mmydcymmwmggydymyy?", "a": "5/2142" }, { "q": "What is prob of picking 3 a and 2 u when five letters picked without replacement from {a: 3, d: 1, u: 2}?", "a": "1/6" }, { "q": "Calculate prob of picking 2 q and 3 m when five letters picked without replacement from mqsmfsmqsqs.", "a": "1/154" }, { "q": "Five letters picked without replacement from {h: 7, w: 2, v: 3}. What is prob of picking 3 h and 2 w?", "a": "35/792" }, { "q": "Calculate prob of picking 4 g and 1 b when five letters picked without replacement from {b: 2, g: 12}.", "a": "45/91" }, { "q": "Five letters picked without replacement from {v: 5, i: 1, u: 4, x: 8, g: 2}. Give prob of picking 1 v, 1 x, and 3 u.", "a": "10/969" }, { "q": "Five letters picked without replacement from ouuaaqqapuauuuoa. What is prob of picking 1 u, 1 o, 2 q, and 1 a?", "a": "5/364" }, { "q": "Five letters picked without replacement from {f: 8, e: 3, s: 2}. What is prob of picking 1 s, 1 f, and 3 e?", "a": "16/1287" }, { "q": "Five letters picked without replacement from {v: 10, q: 4, e: 3}. Give prob of picking 2 e, 2 q, and 1 v.", "a": "45/1547" }, { "q": "Five letters picked without replacement from nxmxxxxmmxnxmmen. Give prob of picking 5 x.", "a": "1/208" }, { "q": "Five letters picked without replacement from {i: 9, k: 3, l: 3, c: 5}. What is prob of picking 1 k, 3 i, and 1 l?", "a": "63/1292" }, { "q": "Calculate prob of picking 3 u and 2 o when five letters picked without replacement from {o: 8, u: 8}.", "a": "14/39" }, { "q": "Five letters picked without replacement from {b: 15, c: 4, f: 1}. What is prob of picking 2 b, 2 f, and 1 c?", "a": "0" }, { "q": "Calculate prob of picking 1 r, 1 e, 2 a, and 1 c when five letters picked without replacement from {e: 1, b: 1, r: 3, c: 3, a: 5}.", "a": "10/143" }, { "q": "Calculate prob of picking 2 z, 1 t, and 2 u when five letters picked without replacement from {c: 7, z: 5, u: 3, t: 2, q: 2}.", "a": "5/969" }, { "q": "Five letters picked without replacement from {v: 13, a: 2, d: 4}. What is prob of picking 3 d and 2 v?", "a": "26/969" }, { "q": "Five letters picked without replacement from rfmynmyycrny. Give prob of picking 1 f, 2 r, 1 y, and 1 n.", "a": "1/99" }, { "q": "What is prob of picking 1 t, 1 b, 2 u, and 1 l when five letters picked without replacement from {u: 2, b: 1, s: 2, l: 5, t: 2}?", "a": "5/396" }, { "q": "What is prob of picking 2 n and 3 f when five letters picked without replacement from tntfttftttffnn?", "a": "6/1001" }, { "q": "Calculate prob of picking 1 x, 1 h, 2 t, and 1 q when five letters picked without replacement from txtxxtthttrqthh.", "a": "9/143" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {x: 9, j: 6, t: 2}?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {p: 2, j: 1, g: 2, x: 1, t: 3}. What is prob of picking 2 g, 2 p, and 1 x?", "a": "1/126" }, { "q": "What is prob of picking 1 j, 1 w, 1 c, 1 p, and 1 y when five letters picked without replacement from {p: 2, w: 2, y: 2, j: 1, c: 2}?", "a": "8/63" }, { "q": "Calculate prob of picking 1 z, 2 k, 1 j, and 1 r when five letters picked without replacement from zjrrkjrgnkr.", "a": "4/231" }, { "q": "What is prob of picking 2 h, 2 p, and 1 c when five letters picked without replacement from chgcpghchcggpp?", "a": "18/1001" }, { "q": "Calculate prob of picking 3 v and 2 a when five letters picked without replacement from avvvvavvv.", "a": "5/18" }, { "q": "Five letters picked without replacement from ufffggffuffugfugf. What is prob of picking 2 f and 3 g?", "a": "36/1547" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yoyyyyyyyyyyoyy.", "a": "3/7" }, { "q": "Calculate prob of picking 2 c, 1 m, 1 g, and 1 x when five letters picked without replacement from bmmbcxcbcmgomgmmbc.", "a": "1/119" }, { "q": "Five letters picked without replacement from {t: 16, r: 3}. What is prob of picking 2 t and 3 r?", "a": "10/969" }, { "q": "Five letters picked without replacement from {g: 8, i: 9}. Give prob of picking 1 i and 4 g.", "a": "45/442" }, { "q": "What is prob of picking 3 o and 2 d when five letters picked without replacement from {d: 4, y: 1, g: 4, o: 3}?", "a": "1/132" }, { "q": "Five letters picked without replacement from {c: 12, w: 2, b: 5}. Give prob of picking 3 b and 2 c.", "a": "55/969" }, { "q": "What is prob of picking 2 b and 3 o when five letters picked without replacement from {o: 5, b: 8}?", "a": "280/1287" }, { "q": "What is prob of picking 3 j, 1 a, and 1 g when five letters picked without replacement from ajjagaagajajjjjaaaaj?", "a": "70/969" }, { "q": "Five letters picked without replacement from {o: 2, a: 2, b: 4, i: 2, k: 3, v: 7}. What is prob of picking 2 b, 1 k, and 2 o?", "a": "3/2584" }, { "q": "Calculate prob of picking 3 g and 2 p when five letters picked without replacement from aagppg.", "a": "0" }, { "q": "Calculate prob of picking 2 a, 2 d, and 1 x when five letters picked without replacement from {f: 1, d: 5, x: 1, a: 5}.", "a": "25/198" }, { "q": "Five letters picked without replacement from iiisczwc. Give prob of picking 3 z, 1 w, and 1 c.", "a": "0" }, { "q": "Five letters picked without replacement from {w: 1, o: 14, d: 4}. Give prob of picking 1 w, 2 d, and 2 o.", "a": "91/1938" }, { "q": "What is prob of picking 3 g and 2 u when five letters picked without replacement from {g: 3, p: 5, u: 5}?", "a": "10/1287" }, { "q": "Five letters picked without replacement from uuuuuunuununuuuu. Give prob of picking 4 u and 1 n.", "a": "55/112" }, { "q": "Five letters picked without replacement from ufnfuuuufnfuuuun. What is prob of picking 2 f, 1 u, and 2 n?", "a": "27/728" }, { "q": "Five letters picked without replacement from hisisiihsisssshssh. Give prob of picking 3 i, 1 s, and 1 h.", "a": "5/119" }, { "q": "Five letters picked without replacement from kkkkknkkkk. What is prob of picking 5 k?", "a": "1/2" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {b: 9, m: 8}?", "a": "2/221" }, { "q": "Five letters picked without replacement from {v: 3, b: 1, z: 3, c: 1}. Give prob of picking 1 c, 3 v, and 1 b.", "a": "1/56" }, { "q": "Calculate prob of picking 1 y, 2 l, and 2 u when five letters picked without replacement from {u: 5, y: 3, l: 2, j: 1, k: 5}.", "a": "5/728" }, { "q": "Five letters picked without replacement from teyeteelyeetysyyel. Give prob of picking 3 y, 1 l, and 1 t.", "a": "5/714" }, { "q": "Five letters picked without replacement from {q: 1, x: 2, o: 3, c: 3, f: 6, y: 2}. Give prob of picking 1 f, 1 q, 1 o, and 2 y.", "a": "9/3094" }, { "q": "Five letters picked without replacement from {j: 12, g: 5}. Give prob of picking 2 j and 3 g.", "a": "165/1547" }, { "q": "Five letters picked without replacement from {e: 3, b: 11}. Give prob of picking 2 b and 3 e.", "a": "5/182" }, { "q": "Calculate prob of picking 1 s, 3 v, and 1 y when five letters picked without replacement from {s: 1, y: 1, v: 3, p: 2}.", "a": "1/21" }, { "q": "Five letters picked without replacement from pjjjjpjjppjpp. Give prob of picking 2 j and 3 p.", "a": "140/429" }, { "q": "Calculate prob of picking 1 t, 1 o, 1 p, 1 s, and 1 j when five letters picked without replacement from {o: 1, s: 1, j: 1, p: 5, t: 1}.", "a": "5/126" }, { "q": "What is prob of picking 2 b, 1 x, 1 g, and 1 a when five letters picked without replacement from aggxggbaagbbgggxag?", "a": "3/119" }, { "q": "What is prob of picking 4 n and 1 g when five letters picked without replacement from {n: 5, g: 1}?", "a": "5/6" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjjjddjjd?", "a": "1/21" }, { "q": "Five letters picked without replacement from pyppppppkypppp. What is prob of picking 1 k, 2 y, and 2 p?", "a": "5/182" }, { "q": "Five letters picked without replacement from vggnvvvvlgzvnvgvgggv. What is prob of picking 2 g and 3 l?", "a": "0" }, { "q": "What is prob of picking 2 r and 3 x when five letters picked without replacement from {t: 2, r: 3, x: 3}?", "a": "3/56" }, { "q": "Calculate prob of picking 3 v and 2 t when five letters picked without replacement from vvvvvvvvvtvvtvvtvtt.", "a": "910/2907" }, { "q": "Five letters picked without replacement from ddyyyydyyyddyy. What is prob of picking 1 y and 4 d?", "a": "45/2002" }, { "q": "Five letters picked without replacement from {p: 2, q: 5, r: 9}. What is prob of picking 2 q and 3 r?", "a": "5/26" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {i: 1, x: 2, d: 1, t: 6, v: 2, w: 8}.", "a": "7/1938" }, { "q": "Five letters picked without replacement from rbrqqqqbqr. Give prob of picking 5 q.", "a": "1/252" }, { "q": "Five letters picked without replacement from {g: 2, w: 1, c: 1, n: 3, q: 2}. What is prob of picking 1 w, 1 n, 2 q, and 1 g?", "a": "1/21" }, { "q": "Five letters picked without replacement from iiinxxxxxo. What is prob of picking 1 n, 2 x, 1 i, and 1 o?", "a": "5/42" }, { "q": "Calculate prob of picking 2 x and 3 w when five letters picked without replacement from {w: 15, x: 4}.", "a": "455/1938" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from ububbbbbbbub?", "a": "7/44" }, { "q": "Five letters picked without replacement from hgthtthxthxmxtthd. What is prob of picking 1 x, 1 d, 1 t, and 2 h?", "a": "45/1547" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from {q: 7, u: 12}.", "a": "22/323" }, { "q": "Five letters picked without replacement from {s: 5, m: 1, n: 3, l: 2, g: 2, j: 2}. Give prob of picking 1 m, 3 s, and 1 n.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {j: 4, z: 1, v: 1, r: 3, c: 1, t: 1}. What is prob of picking 1 v, 1 j, 2 r, and 1 c?", "a": "2/77" }, { "q": "Calculate prob of picking 1 z, 2 j, 1 l, and 1 n when five letters picked without replacement from {k: 3, z: 8, j: 3, n: 1, l: 4}.", "a": "8/969" }, { "q": "What is prob of picking 2 g and 3 d when five letters picked without replacement from {q: 6, d: 5, g: 2, y: 2}?", "a": "10/3003" }, { "q": "Five letters picked without replacement from azrzgazzzzaazzaaaazz. Give prob of picking 1 a, 3 z, and 1 r.", "a": "20/323" }, { "q": "Calculate prob of picking 3 y, 1 v, and 1 p when five letters picked without replacement from {p: 4, n: 2, v: 1, y: 4}.", "a": "8/231" }, { "q": "Five letters picked without replacement from vqcckscgc. What is prob of picking 1 v, 1 k, 1 g, and 2 c?", "a": "1/21" }, { "q": "Five letters picked without replacement from yzyzzzyzyyzyzzyzzz. Give prob of picking 2 y and 3 z.", "a": "55/136" }, { "q": "What is prob of picking 1 s, 3 k, and 1 t when five letters picked without replacement from {d: 1, k: 3, r: 3, s: 1, t: 1}?", "a": "1/126" }, { "q": "Calculate prob of picking 1 r, 2 h, 1 j, and 1 p when five letters picked without replacement from rxjxxrjxjphrshpxhh.", "a": "3/238" }, { "q": "Five letters picked without replacement from {n: 10, e: 1, p: 1}. What is prob of picking 4 n and 1 p?", "a": "35/132" }, { "q": "Five letters picked without replacement from rwjjjwwoyrwjowrwjrr. What is prob of picking 1 o, 2 w, and 2 r?", "a": "25/969" }, { "q": "What is prob of picking 1 k, 1 l, and 3 y when five letters picked without replacement from syylkys?", "a": "1/21" }, { "q": "Five letters picked without replacement from {y: 1, w: 2, t: 1, x: 2, u: 1, z: 3}. What is prob of picking 2 z, 1 u, and 2 x?", "a": "1/84" }, { "q": "What is prob of picking 4 r and 1 m when five letters picked without replacement from rkmrmmrrmrrkrmrrrr?", "a": "275/1428" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from yuuuuueuuuuyuyuuyue.", "a": "143/1292" }, { "q": "Five letters picked without replacement from jvvjejee. Give prob of picking 3 e, 1 j, and 1 v.", "a": "3/28" }, { "q": "Five letters picked without replacement from mjvmhcmcvjvmwh. Give prob of picking 1 v, 1 m, 2 j, and 1 h.", "a": "12/1001" }, { "q": "Calculate prob of picking 1 t, 1 n, 2 m, and 1 o when five letters picked without replacement from wmwtowoweetmwmnwewe.", "a": "1/969" }, { "q": "What is prob of picking 3 f and 2 g when five letters picked without replacement from {f: 7, g: 4}?", "a": "5/11" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wwwwlwlllwwww?", "a": "14/143" }, { "q": "Five letters picked without replacement from xxdxxldjldxlxnlnd. Give prob of picking 2 x, 1 d, and 2 n.", "a": "15/1547" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from {m: 5, k: 2, q: 1, t: 7}.", "a": "1/143" }, { "q": "What is prob of picking 1 b, 1 u, and 3 y when five letters picked without replacement from {u: 6, y: 3, b: 1, k: 2}?", "a": "1/132" }, { "q": "What is prob of picking 4 l and 1 s when five letters picked without replacement from ssllllssllsslslslss?", "a": "35/323" }, { "q": "Calculate prob of picking 4 n and 1 k when five letters picked without replacement from {n: 6, k: 13}.", "a": "65/3876" }, { "q": "Five letters picked without replacement from vbbvvpvpvvppvp. Give prob of picking 1 b and 4 v.", "a": "5/143" }, { "q": "Calculate prob of picking 4 v and 1 l when five letters picked without replacement from {v: 5, l: 1}.", "a": "5/6" }, { "q": "Calculate prob of picking 1 e, 2 i, and 2 a when five letters picked without replacement from paiavkikpkpep.", "a": "1/1287" }, { "q": "Calculate prob of picking 1 w and 4 j when five letters picked without replacement from {j: 11, o: 3, m: 1, w: 2, k: 3}.", "a": "55/1292" }, { "q": "Five letters picked without replacement from {t: 2, f: 3, x: 2, e: 8}. What is prob of picking 1 e, 1 t, 2 f, and 1 x?", "a": "32/1001" }, { "q": "Calculate prob of picking 1 w, 1 t, 2 o, and 1 e when five letters picked without replacement from eoeeoowooaetoeottow.", "a": "70/969" }, { "q": "Five letters picked without replacement from iieniveefiiennfqqn. What is prob of picking 4 i and 1 f?", "a": "5/4284" }, { "q": "Calculate prob of picking 1 p, 1 e, and 3 v when five letters picked without replacement from {v: 5, p: 1, o: 1, a: 2, e: 5}.", "a": "25/1001" }, { "q": "What is prob of picking 1 v and 4 w when five letters picked without replacement from vwlllvwwwlwll?", "a": "10/1287" }, { "q": "Five letters picked without replacement from ccczczccczczccccz. What is prob of picking 5 c?", "a": "198/1547" }, { "q": "Five letters picked without replacement from {t: 4, b: 4, s: 3, r: 5, q: 1, a: 1}. Give prob of picking 1 s, 3 b, and 1 a.", "a": "1/714" }, { "q": "Five letters picked without replacement from xrrxnnnn. What is prob of picking 2 x, 1 n, and 2 r?", "a": "1/14" }, { "q": "Five letters picked without replacement from ttttrrbrnknrbrnbtt. Give prob of picking 1 t and 4 r.", "a": "5/1428" }, { "q": "Calculate prob of picking 1 p and 4 j when five letters picked without replacement from pjjjjjppjjjjjjjjpj.", "a": "143/306" }, { "q": "Five letters picked without replacement from babapapaaapbbpp. Give prob of picking 2 p and 3 a.", "a": "200/3003" }, { "q": "What is prob of picking 1 s, 3 n, and 1 l when five letters picked without replacement from {n: 3, k: 1, l: 1, s: 3}?", "a": "3/56" }, { "q": "Calculate prob of picking 4 z and 1 j when five letters picked without replacement from {z: 2, j: 6, r: 6}.", "a": "0" }, { "q": "Five letters picked without replacement from {i: 15, q: 2}. Give prob of picking 5 i.", "a": "33/68" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hrhhhhrhhh.", "a": "2/9" }, { "q": "What is prob of picking 1 t, 1 f, 2 h, and 1 z when five letters picked without replacement from {h: 2, f: 3, j: 2, z: 3, d: 1, t: 5}?", "a": "15/1456" }, { "q": "What is prob of picking 2 g, 1 j, 1 e, and 1 h when five letters picked without replacement from {u: 1, e: 2, h: 1, g: 2, m: 1, j: 4}?", "a": "4/231" }, { "q": "Calculate prob of picking 2 b, 1 a, and 2 l when five letters picked without replacement from uyybbbylbybaybbyy.", "a": "0" }, { "q": "What is prob of picking 1 s and 4 m when five letters picked without replacement from {m: 10, w: 1, s: 6}?", "a": "45/221" }, { "q": "Calculate prob of picking 1 j, 2 q, and 2 x when five letters picked without replacement from {q: 3, j: 1, x: 3}.", "a": "3/7" }, { "q": "What is prob of picking 2 s, 2 p, and 1 x when five letters picked without replacement from xxppxppppxxpps?", "a": "0" }, { "q": "What is prob of picking 3 k and 2 s when five letters picked without replacement from {s: 2, k: 12}?", "a": "10/91" }, { "q": "Five letters picked without replacement from {q: 5, o: 1, x: 1, t: 8, v: 2, h: 3}. What is prob of picking 2 h, 1 t, 1 o, and 1 x?", "a": "1/646" }, { "q": "What is prob of picking 1 y, 2 r, 1 i, and 1 b when five letters picked without replacement from {i: 6, r: 3, b: 1, y: 3}?", "a": "6/143" }, { "q": "What is prob of picking 1 v and 4 e when five letters picked without replacement from {e: 5, v: 3}?", "a": "15/56" }, { "q": "Five letters picked without replacement from {e: 1, u: 2, o: 1, h: 8, d: 4}. What is prob of picking 3 h and 2 u?", "a": "1/78" }, { "q": "Five letters picked without replacement from {n: 1, q: 4, c: 3, l: 1, u: 3, f: 8}. Give prob of picking 1 n, 2 u, 1 l, and 1 q.", "a": "1/1292" }, { "q": "What is prob of picking 1 g, 1 l, 1 r, and 2 e when five letters picked without replacement from mlellewwwwwgr?", "a": "1/429" }, { "q": "Five letters picked without replacement from {j: 2, f: 5, w: 5, d: 3}. What is prob of picking 5 f?", "a": "1/3003" }, { "q": "Five letters picked without replacement from rxbrrbxxbrx. What is prob of picking 1 r, 3 b, and 1 x?", "a": "8/231" }, { "q": "Five letters picked without replacement from osssssosoossoossss. Give prob of picking 3 s and 2 o.", "a": "275/714" }, { "q": "Five letters picked without replacement from bbbbbbgg. What is prob of picking 1 g and 4 b?", "a": "15/28" }, { "q": "Five letters picked without replacement from jggjngjgvjnv. Give prob of picking 3 j, 1 g, and 1 v.", "a": "4/99" }, { "q": "What is prob of picking 1 a and 4 g when five letters picked without replacement from rgmaamgrrmagaagaa?", "a": "1/884" }, { "q": "Calculate prob of picking 4 k and 1 s when five letters picked without replacement from {k: 4, s: 2}.", "a": "1/3" }, { "q": "Five letters picked without replacement from ksssjsssjsksssj. What is prob of picking 3 s, 1 k, and 1 j?", "a": "240/1001" }, { "q": "What is prob of picking 2 i and 3 w when five letters picked without replacement from wwwwiwiwwwiwii?", "a": "60/143" }, { "q": "Five letters picked without replacement from {s: 6, o: 10}. What is prob of picking 5 o?", "a": "3/52" }, { "q": "Five letters picked without replacement from qxxxxuxqqxxuqqxux. What is prob of picking 2 u and 3 x?", "a": "9/221" }, { "q": "Five letters picked without replacement from {z: 3, a: 3, v: 5, g: 7, k: 1}. Give prob of picking 1 v, 2 z, and 2 g.", "a": "35/1292" }, { "q": "Five letters picked without replacement from {h: 1, u: 9}. Give prob of picking 5 u.", "a": "1/2" }, { "q": "Five letters picked without replacement from gmgggmmgggg. What is prob of picking 2 g and 3 m?", "a": "2/33" }, { "q": "Five letters picked without replacement from {c: 3, a: 1, x: 3}. Give prob of picking 4 x and 1 a.", "a": "0" }, { "q": "Calculate prob of picking 1 h, 3 m, and 1 p when five letters picked without replacement from mtmaphmhhhphmmamphm.", "a": "35/646" }, { "q": "Five letters picked without replacement from {l: 1, b: 4, q: 1}. What is prob of picking 2 q and 3 l?", "a": "0" }, { "q": "Five letters picked without replacement from {s: 7, p: 2, q: 4}. Give prob of picking 3 s and 2 p.", "a": "35/1287" }, { "q": "Five letters picked without replacement from lllfllllfl. Give prob of picking 2 f and 3 l.", "a": "2/9" }, { "q": "What is prob of picking 4 z and 1 p when five letters picked without replacement from {z: 9, p: 9}?", "a": "9/68" }, { "q": "Calculate prob of picking 1 h and 4 o when five letters picked without replacement from hoohooohooohho.", "a": "45/143" }, { "q": "Five letters picked without replacement from {g: 2, m: 3, d: 2, o: 6, l: 2, z: 4}. Give prob of picking 1 o, 2 g, 1 z, and 1 d.", "a": "4/969" }, { "q": "Five letters picked without replacement from {w: 1, f: 2, r: 1, y: 1, h: 4, s: 6}. What is prob of picking 2 f, 2 h, and 1 r?", "a": "2/1001" }, { "q": "Calculate prob of picking 2 d, 1 v, and 2 x when five letters picked without replacement from {l: 2, g: 1, d: 2, q: 3, v: 6, x: 4}.", "a": "1/238" }, { "q": "Five letters picked without replacement from {p: 5, d: 2, e: 4, b: 1, n: 2}. Give prob of picking 1 n, 1 e, 1 p, and 2 d.", "a": "20/1001" }, { "q": "Five letters picked without replacement from pqqoowoqoonwqwqwo. Give prob of picking 2 q, 1 o, and 2 w.", "a": "90/1547" }, { "q": "What is prob of picking 3 c and 2 f when five letters picked without replacement from facffdccc?", "a": "2/21" }, { "q": "Five letters picked without replacement from {z: 2, l: 2, p: 3}. Give prob of picking 1 z, 2 l, and 2 p.", "a": "2/7" }, { "q": "Calculate prob of picking 4 m and 1 v when five letters picked without replacement from {m: 10, v: 8}.", "a": "10/51" }, { "q": "Five letters picked without replacement from {d: 2, y: 1, u: 2, w: 1, f: 1, p: 2}. What is prob of picking 1 d, 1 f, 1 y, 1 u, and 1 w?", "a": "2/63" }, { "q": "Calculate prob of picking 2 k, 2 p, and 1 z when five letters picked without replacement from {k: 2, p: 2, z: 1, g: 1}.", "a": "1/6" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from {e: 16, p: 4}.", "a": "91/323" }, { "q": "Calculate prob of picking 2 m, 2 z, and 1 k when five letters picked without replacement from {d: 3, z: 2, k: 1, m: 9}.", "a": "12/1001" }, { "q": "Five letters picked without replacement from {r: 1, o: 1, d: 1, y: 2, k: 2}. What is prob of picking 2 k, 1 o, 1 y, and 1 d?", "a": "2/21" }, { "q": "Calculate prob of picking 1 j and 4 r when five letters picked without replacement from pppnxerrrrpnxjx.", "a": "1/3003" }, { "q": "Calculate prob of picking 1 x and 4 i when five letters picked without replacement from {i: 11, x: 1}.", "a": "5/12" }, { "q": "Five letters picked without replacement from bbbbbboooobbob. Give prob of picking 4 o and 1 b.", "a": "45/2002" }, { "q": "Calculate prob of picking 2 n and 3 p when five letters picked without replacement from xnpnnnnnxxxxxpnnxxpx.", "a": "7/3876" }, { "q": "What is prob of picking 1 u and 4 s when five letters picked without replacement from ssssuuugsggsugu?", "a": "25/1001" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from uoeiewovvev?", "a": "0" }, { "q": "Calculate prob of picking 3 n and 2 c when five letters picked without replacement from {n: 2, d: 2, c: 5}.", "a": "0" }, { "q": "Five letters picked without replacement from {x: 3, g: 1, u: 3, m: 1}. What is prob of picking 1 m, 1 g, and 3 u?", "a": "1/56" }, { "q": "What is prob of picking 1 n, 1 s, and 3 q when five letters picked without replacement from qnyqqnylysyy?", "a": "1/396" }, { "q": "Calculate prob of picking 1 y, 2 i, and 2 x when five letters picked without replacement from {x: 5, t: 4, y: 3, n: 2, q: 1, i: 2}.", "a": "15/3094" }, { "q": "Five letters picked without replacement from {c: 5, t: 5}. What is prob of picking 4 c and 1 t?", "a": "25/252" }, { "q": "Five letters picked without replacement from aanncacncancancnaaac. Give prob of picking 1 a and 4 n.", "a": "5/646" }, { "q": "What is prob of picking 1 w, 1 i, and 3 r when five letters picked without replacement from {y: 1, i: 5, k: 1, g: 3, w: 1, r: 3}?", "a": "5/2002" }, { "q": "Five letters picked without replacement from {q: 6, a: 4, m: 3, s: 4, y: 2, x: 1}. Give prob of picking 1 s, 3 a, and 1 y.", "a": "2/969" }, { "q": "Five letters picked without replacement from {v: 3, f: 3, g: 1, o: 2, j: 3, x: 1}. What is prob of picking 3 j, 1 v, and 1 g?", "a": "1/429" }, { "q": "Five letters picked without replacement from kkkkggkkkkk. Give prob of picking 1 g and 4 k.", "a": "6/11" }, { "q": "Calculate prob of picking 3 q and 2 g when five letters picked without replacement from ggqgqgq.", "a": "2/7" }, { "q": "Five letters picked without replacement from {u: 1, i: 3, n: 4, m: 2, w: 2}. Give prob of picking 3 w and 2 m.", "a": "0" }, { "q": "Calculate prob of picking 2 s and 3 p when five letters picked without replacement from {s: 13, p: 5}.", "a": "65/714" }, { "q": "Calculate prob of picking 1 s, 1 b, and 3 a when five letters picked without replacement from bsbbbssaasbbsbssa.", "a": "7/884" }, { "q": "Calculate prob of picking 4 h and 1 e when five letters picked without replacement from ehunhejhhe.", "a": "1/84" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {v: 4, j: 4, a: 2, p: 5}?", "a": "0" }, { "q": "Calculate prob of picking 2 q and 3 u when five letters picked without replacement from {q: 3, v: 9, u: 7}.", "a": "35/3876" }, { "q": "Five letters picked without replacement from lvlllllvlllvllllv. Give prob of picking 3 l and 2 v.", "a": "33/119" }, { "q": "What is prob of picking 3 f, 1 l, and 1 v when five letters picked without replacement from xfvvvflfzffffzlfa?", "a": "12/221" }, { "q": "Five letters picked without replacement from izzzxxxizzzii. What is prob of picking 1 i and 4 z?", "a": "20/429" }, { "q": "Five letters picked without replacement from {e: 2, a: 5}. Give prob of picking 2 e and 3 a.", "a": "10/21" }, { "q": "Five letters picked without replacement from jhhjhhhjhhj. Give prob of picking 2 j and 3 h.", "a": "5/11" }, { "q": "Calculate prob of picking 3 i and 2 u when five letters picked without replacement from uiiiuiuiiii.", "a": "4/11" }, { "q": "What is prob of picking 1 t and 4 x when five letters picked without replacement from xttxxxtxxtxxxttt?", "a": "21/104" }, { "q": "Five letters picked without replacement from {r: 3, l: 6, v: 1}. Give prob of picking 3 l, 1 r, and 1 v.", "a": "5/21" }, { "q": "Five letters picked without replacement from mgrrrmgcrcccr. What is prob of picking 5 r?", "a": "1/1287" }, { "q": "Five letters picked without replacement from hhhhthhuuhhu. What is prob of picking 3 h and 2 u?", "a": "7/33" }, { "q": "What is prob of picking 1 c and 4 v when five letters picked without replacement from {v: 2, c: 1, n: 2}?", "a": "0" }, { "q": "Five letters picked without replacement from {m: 14, a: 2}. What is prob of picking 2 a and 3 m?", "a": "1/12" }, { "q": "Calculate prob of picking 2 z, 2 q, and 1 c when five letters picked without replacement from {b: 3, c: 3, q: 3, r: 2, w: 2, z: 2}.", "a": "3/1001" }, { "q": "Five letters picked without replacement from mmmmmamaa. Give prob of picking 4 m and 1 a.", "a": "5/14" }, { "q": "Calculate prob of picking 2 y, 1 r, 1 s, and 1 b when five letters picked without replacement from bxxbxurryysrrr.", "a": "5/1001" }, { "q": "Calculate prob of picking 1 i and 4 x when five letters picked without replacement from {i: 2, x: 4}.", "a": "1/3" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from duduuduuduudduuddd?", "a": "1/68" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from qqqqq.", "a": "1" }, { "q": "Calculate prob of picking 3 g, 1 a, and 1 s when five letters picked without replacement from srrggargg.", "a": "2/63" }, { "q": "Five letters picked without replacement from qqqqqqq. Give prob of picking 5 q.", "a": "1" }, { "q": "What is prob of picking 3 m, 1 d, and 1 u when five letters picked without replacement from {f: 1, m: 4, u: 1, l: 2, d: 1}?", "a": "2/63" }, { "q": "Five letters picked without replacement from {o: 11, t: 3, m: 3, h: 3}. What is prob of picking 2 m and 3 o?", "a": "165/5168" }, { "q": "Five letters picked without replacement from {a: 4, f: 2, h: 2, g: 4, c: 3}. Give prob of picking 1 h, 1 g, and 3 a.", "a": "32/3003" }, { "q": "What is prob of picking 2 i, 1 t, 1 o, and 1 n when five letters picked without replacement from tuootonntoiiou?", "a": "15/1001" }, { "q": "Five letters picked without replacement from {r: 4, l: 6, s: 4, z: 3, h: 1, y: 2}. What is prob of picking 2 y, 2 z, and 1 h?", "a": "1/5168" }, { "q": "Five letters picked without replacement from {c: 7, r: 5, v: 7}. What is prob of picking 1 c and 4 r?", "a": "35/11628" }, { "q": "Five letters picked without replacement from qwwqkkrkwkkwkkkrrkk. Give prob of picking 2 r and 3 w.", "a": "1/969" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {v: 4, f: 10}?", "a": "18/143" }, { "q": "Calculate prob of picking 3 a and 2 e when five letters picked without replacement from {e: 4, a: 8}.", "a": "14/33" }, { "q": "Calculate prob of picking 1 w, 1 q, 1 o, and 2 x when five letters picked without replacement from wwyyxqxwwowx.", "a": "5/264" }, { "q": "Five letters picked without replacement from {g: 5, m: 11, r: 2, b: 2}. Give prob of picking 3 m and 2 b.", "a": "55/5168" }, { "q": "What is prob of picking 3 u and 2 t when five letters picked without replacement from iuuuuutuiituttfi?", "a": "5/104" }, { "q": "Five letters picked without replacement from shjshqsqjqjhjhsl. What is prob of picking 1 q, 1 j, and 3 h?", "a": "1/91" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {g: 5, p: 2}?", "a": "1/21" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from cccmecccemcmccmcmmc?", "a": "1/1938" }, { "q": "Calculate prob of picking 2 e and 3 g when five letters picked without replacement from {q: 10, e: 6, g: 3}.", "a": "5/3876" }, { "q": "What is prob of picking 3 v, 1 t, and 1 o when five letters picked without replacement from {v: 3, t: 3, o: 1}?", "a": "1/7" }, { "q": "Five letters picked without replacement from nssssssnssnssnssns. Give prob of picking 1 n and 4 s.", "a": "3575/8568" }, { "q": "Calculate prob of picking 1 p and 4 f when five letters picked without replacement from {e: 5, p: 1, f: 4, j: 3}.", "a": "1/1287" }, { "q": "Five letters picked without replacement from {d: 11, e: 3}. Give prob of picking 2 d and 3 e.", "a": "5/182" }, { "q": "Calculate prob of picking 4 a and 1 l when five letters picked without replacement from {a: 8, x: 3, l: 9}.", "a": "105/2584" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from {z: 8, k: 3, s: 2}.", "a": "56/1287" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {j: 7}.", "a": "1" }, { "q": "What is prob of picking 1 l and 4 y when five letters picked without replacement from yxyxlyxlxyxx?", "a": "1/396" }, { "q": "Calculate prob of picking 3 o and 2 j when five letters picked without replacement from {j: 3, o: 4}.", "a": "4/7" }, { "q": "Five letters picked without replacement from bupoabupbbbubbu. What is prob of picking 1 o, 1 b, and 3 u?", "a": "4/429" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {n: 8, s: 9}.", "a": "2/221" }, { "q": "Five letters picked without replacement from {h: 4, r: 4, x: 1}. Give prob of picking 1 h and 4 r.", "a": "2/63" }, { "q": "Calculate prob of picking 4 n and 1 l when five letters picked without replacement from {l: 1, o: 1, n: 4, k: 1}.", "a": "1/21" }, { "q": "Calculate prob of picking 2 m, 2 r, and 1 c when five letters picked without replacement from {m: 2, r: 2, w: 2, c: 1, q: 2, i: 2}.", "a": "1/462" }, { "q": "Five letters picked without replacement from pctdmdpjpj. Give prob of picking 1 m, 1 c, 1 j, 1 t, and 1 d.", "a": "1/63" }, { "q": "Five letters picked without replacement from {y: 4, h: 8, k: 5}. What is prob of picking 2 h and 3 k?", "a": "10/221" }, { "q": "Five letters picked without replacement from vvcvcvvvvcvvvvvvvvcv. Give prob of picking 4 c and 1 v.", "a": "1/969" }, { "q": "Five letters picked without replacement from {x: 4, i: 1, z: 4}. Give prob of picking 4 x and 1 z.", "a": "2/63" }, { "q": "Calculate prob of picking 2 b and 3 u when five letters picked without replacement from {b: 10, j: 1, u: 4}.", "a": "60/1001" }, { "q": "Five letters picked without replacement from nnnnnnnnn. What is prob of picking 5 n?", "a": "1" }, { "q": "What is prob of picking 2 w and 3 e when five letters picked without replacement from wwwwwe?", "a": "0" }, { "q": "Calculate prob of picking 3 y and 2 e when five letters picked without replacement from {y: 5, e: 8}.", "a": "280/1287" }, { "q": "Five letters picked without replacement from yycmmmyyycmomymoc. What is prob of picking 3 m and 2 c?", "a": "15/1547" }, { "q": "What is prob of picking 3 p and 2 o when five letters picked without replacement from vpopopopopppq?", "a": "70/429" }, { "q": "What is prob of picking 1 n, 1 l, and 3 z when five letters picked without replacement from zlzlnzrzlzz?", "a": "10/77" }, { "q": "What is prob of picking 1 y, 1 m, 1 x, 1 a, and 1 c when five letters picked without replacement from xxamncy?", "a": "2/21" }, { "q": "What is prob of picking 1 r, 3 i, and 1 x when five letters picked without replacement from {x: 7, r: 1, i: 10}?", "a": "5/51" }, { "q": "Calculate prob of picking 1 o, 2 x, 1 v, and 1 y when five letters picked without replacement from {l: 1, v: 3, x: 4, o: 2, y: 7}.", "a": "9/221" }, { "q": "Five letters picked without replacement from {y: 5, p: 9}. What is prob of picking 1 y and 4 p?", "a": "45/143" }, { "q": "Five letters picked without replacement from {b: 7}. What is prob of picking 5 b?", "a": "1" }, { "q": "Calculate prob of picking 2 p and 3 b when five letters picked without replacement from ppbppbb.", "a": "2/7" }, { "q": "Five letters picked without replacement from kkkkrrkkrrrkkrkkkkkk. Give prob of picking 1 k and 4 r.", "a": "35/2584" }, { "q": "Calculate prob of picking 1 v and 4 h when five letters picked without replacement from kvkkvhvhkkkkhkhkkkhk.", "a": "5/5168" }, { "q": "Five letters picked without replacement from {b: 8, u: 3, w: 8}. What is prob of picking 4 b and 1 u?", "a": "35/1938" }, { "q": "Calculate prob of picking 1 f, 1 v, and 3 y when five letters picked without replacement from {z: 3, w: 2, v: 1, y: 7, f: 1}.", "a": "5/286" }, { "q": "Calculate prob of picking 1 b and 4 p when five letters picked without replacement from opoppooippbpphbopbp.", "a": "21/646" }, { "q": "What is prob of picking 2 w, 2 i, and 1 g when five letters picked without replacement from uiwwngnnnninnn?", "a": "1/2002" }, { "q": "Five letters picked without replacement from {o: 2, w: 5, c: 1, n: 2}. Give prob of picking 2 n and 3 w.", "a": "5/126" }, { "q": "Five letters picked without replacement from {u: 9, v: 7}. Give prob of picking 1 v and 4 u.", "a": "21/104" }, { "q": "Calculate prob of picking 1 g and 4 m when five letters picked without replacement from mmmmgmgggmg.", "a": "25/154" }, { "q": "Five letters picked without replacement from aaqaqaaaaaaaqaqaqaa. What is prob of picking 1 a and 4 q?", "a": "35/5814" }, { "q": "Calculate prob of picking 2 i, 1 n, and 2 s when five letters picked without replacement from iseinnniesissnis.", "a": "25/273" }, { "q": "Five letters picked without replacement from {x: 1, p: 6, g: 6, a: 1, e: 2}. What is prob of picking 2 g, 2 e, and 1 a?", "a": "5/1456" }, { "q": "Five letters picked without replacement from {s: 1, y: 3, f: 1, e: 4, l: 5}. What is prob of picking 1 s, 1 l, and 3 e?", "a": "10/1001" }, { "q": "What is prob of picking 4 z and 1 g when five letters picked without replacement from {z: 16, g: 2}?", "a": "65/153" }, { "q": "Calculate prob of picking 2 b, 2 v, and 1 z when five letters picked without replacement from {b: 4, l: 5, v: 3, z: 3}.", "a": "18/1001" }, { "q": "Five letters picked without replacement from {j: 9}. Give prob of picking 5 j.", "a": "1" }, { "q": "Calculate prob of picking 2 r, 1 f, 1 b, and 1 g when five letters picked without replacement from xrfgorrxorbgorrxoooo.", "a": "5/2584" }, { "q": "Five letters picked without replacement from qqigrrgjgrriqgrq. What is prob of picking 2 g, 1 q, and 2 i?", "a": "1/182" }, { "q": "Calculate prob of picking 2 f and 3 u when five letters picked without replacement from ftutfututu.", "a": "1/63" }, { "q": "Calculate prob of picking 1 w, 1 b, 2 g, and 1 k when five letters picked without replacement from {g: 2, w: 1, f: 1, q: 1, b: 5, k: 4}.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {h: 1, p: 2, v: 2, o: 3, n: 1, y: 2}. What is prob of picking 1 h, 2 y, and 2 p?", "a": "1/462" }, { "q": "Five letters picked without replacement from yyyyyx. What is prob of picking 5 y?", "a": "1/6" }, { "q": "Calculate prob of picking 3 u and 2 p when five letters picked without replacement from {p: 3, u: 8}.", "a": "4/11" }, { "q": "Five letters picked without replacement from {v: 3, h: 1, m: 3, e: 1, p: 9, u: 2}. Give prob of picking 1 e, 1 p, 2 u, and 1 m.", "a": "3/1292" }, { "q": "Calculate prob of picking 1 h, 3 b, and 1 l when five letters picked without replacement from {h: 1, l: 3, j: 1, b: 3, u: 1}.", "a": "1/42" }, { "q": "Calculate prob of picking 2 d and 3 m when five letters picked without replacement from vmmvdddgmdv.", "a": "1/77" }, { "q": "Calculate prob of picking 4 s and 1 l when five letters picked without replacement from lsssllslllslllllsls.", "a": "35/969" }, { "q": "Calculate prob of picking 3 k, 1 a, and 1 t when five letters picked without replacement from aetkeatteaatkaaktak.", "a": "35/2907" }, { "q": "Five letters picked without replacement from {b: 9, h: 5, z: 3}. What is prob of picking 1 b, 2 z, and 2 h?", "a": "135/3094" }, { "q": "What is prob of picking 3 n, 1 h, and 1 x when five letters picked without replacement from {x: 8, h: 3, n: 2}?", "a": "0" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from jjdjjdjjddjjjjjd?", "a": "1/4368" }, { "q": "What is prob of picking 3 l, 1 o, and 1 v when five letters picked without replacement from {l: 4, s: 2, v: 1, o: 3}?", "a": "1/21" }, { "q": "Five letters picked without replacement from skuuukstkuk. What is prob of picking 3 k and 2 u?", "a": "4/77" }, { "q": "Five letters picked without replacement from {m: 7}. What is prob of picking 5 m?", "a": "1" }, { "q": "What is prob of picking 3 q and 2 c when five letters picked without replacement from {c: 3, q: 10}?", "a": "40/143" }, { "q": "Five letters picked without replacement from zppzpkcmpzzp. What is prob of picking 1 c and 4 z?", "a": "1/792" }, { "q": "Five letters picked without replacement from {h: 2, n: 3, q: 10, t: 1, f: 3, e: 1}. Give prob of picking 2 h, 1 q, 1 t, and 1 f.", "a": "5/2584" }, { "q": "What is prob of picking 1 c, 1 v, 1 w, 1 p, and 1 h when five letters picked without replacement from mvphmmwmwcmv?", "a": "1/198" }, { "q": "What is prob of picking 4 q and 1 n when five letters picked without replacement from {q: 6, n: 8}?", "a": "60/1001" }, { "q": "Calculate prob of picking 2 m and 3 d when five letters picked without replacement from ddmmmmdmmmmmdmmmmdmm.", "a": "175/2584" }, { "q": "Five letters picked without replacement from {f: 3, v: 7, s: 2}. What is prob of picking 1 v, 3 f, and 1 s?", "a": "7/396" }, { "q": "Five letters picked without replacement from {i: 1, x: 2, n: 3, m: 1, g: 4, q: 1}. Give prob of picking 3 n and 2 x.", "a": "1/792" }, { "q": "Five letters picked without replacement from {j: 3, p: 2, q: 6, f: 2, h: 1, b: 6}. What is prob of picking 1 p, 1 h, 1 b, and 2 f?", "a": "1/1292" }, { "q": "Five letters picked without replacement from yblllbndlldbllylbbdl. Give prob of picking 2 d, 2 b, and 1 l.", "a": "45/2584" }, { "q": "Five letters picked without replacement from {e: 6, j: 4}. What is prob of picking 1 j and 4 e?", "a": "5/21" }, { "q": "Calculate prob of picking 3 o and 2 h when five letters picked without replacement from {h: 8, o: 3}.", "a": "2/33" }, { "q": "Five letters picked without replacement from yyogoyygooooyyogyyy. What is prob of picking 4 o and 1 g?", "a": "35/3876" }, { "q": "Five letters picked without replacement from {t: 3, m: 7, h: 1, y: 4}. What is prob of picking 5 m?", "a": "1/143" }, { "q": "What is prob of picking 1 f, 1 i, 1 l, and 2 k when five letters picked without replacement from {l: 1, e: 5, k: 5, i: 2, f: 1}?", "a": "10/1001" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from {v: 1, e: 2, u: 2, g: 10}.", "a": "12/143" }, { "q": "Calculate prob of picking 4 h and 1 s when five letters picked without replacement from hssshsssshssshssh.", "a": "15/1547" }, { "q": "What is prob of picking 1 n, 3 y, and 1 l when five letters picked without replacement from {l: 2, n: 2, y: 5, o: 4}?", "a": "40/1287" }, { "q": "Five letters picked without replacement from {v: 4, o: 3, d: 6, e: 3, i: 2, n: 1}. What is prob of picking 3 d and 2 e?", "a": "5/969" }, { "q": "What is prob of picking 1 r and 4 g when five letters picked without replacement from {r: 3, g: 8, j: 2, v: 1}?", "a": "15/143" }, { "q": "What is prob of picking 4 c and 1 y when five letters picked without replacement from cyyccyyyccycycy?", "a": "40/429" }, { "q": "Five letters picked without replacement from dnnnsdvasd. What is prob of picking 2 d, 1 v, and 2 n?", "a": "1/28" }, { "q": "Calculate prob of picking 1 k, 2 f, and 2 l when five letters picked without replacement from {f: 9, l: 2, k: 5}.", "a": "15/364" }, { "q": "What is prob of picking 2 j, 1 g, 1 e, and 1 q when five letters picked without replacement from {g: 1, q: 3, j: 5, p: 1, e: 1}?", "a": "5/77" }, { "q": "Calculate prob of picking 3 e and 2 w when five letters picked without replacement from {i: 3, w: 5, e: 4}.", "a": "5/99" }, { "q": "Five letters picked without replacement from pyppybbibbp. What is prob of picking 2 p, 1 i, and 2 y?", "a": "1/77" }, { "q": "Five letters picked without replacement from ggpppppgppggppppp. What is prob of picking 2 p and 3 g?", "a": "165/1547" }, { "q": "Five letters picked without replacement from {o: 3, t: 3, z: 3}. Give prob of picking 2 t, 2 z, and 1 o.", "a": "3/14" }, { "q": "Calculate prob of picking 2 i and 3 u when five letters picked without replacement from iiuiiiiuiiiiiiuiiuii.", "a": "10/323" }, { "q": "What is prob of picking 4 l and 1 q when five letters picked without replacement from {q: 1, a: 1, z: 2, l: 1}?", "a": "0" }, { "q": "Calculate prob of picking 1 y and 4 d when five letters picked without replacement from dddddddydd.", "a": "1/2" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from {v: 2, d: 5, k: 12}.", "a": "22/323" }, { "q": "Five letters picked without replacement from {i: 4, e: 4, p: 3, l: 2, s: 1}. What is prob of picking 2 p, 1 s, and 2 i?", "a": "9/1001" }, { "q": "What is prob of picking 1 y, 1 q, 2 z, and 1 e when five letters picked without replacement from yuuezmzezqqeqzmqemme?", "a": "5/646" }, { "q": "Calculate prob of picking 2 h, 1 i, and 2 r when five letters picked without replacement from {i: 4, r: 4, h: 7, f: 1}.", "a": "3/26" }, { "q": "Five letters picked without replacement from {a: 2, g: 1, t: 1, c: 1, x: 1, k: 1}. What is prob of picking 1 a, 1 k, 1 t, 1 c, and 1 g?", "a": "2/21" }, { "q": "What is prob of picking 3 q and 2 a when five letters picked without replacement from {f: 3, q: 4, a: 5}?", "a": "5/99" }, { "q": "What is prob of picking 1 v and 4 b when five letters picked without replacement from bvvvvhpbbhvvhvbbhvb?", "a": "10/969" }, { "q": "Calculate prob of picking 1 i and 4 z when five letters picked without replacement from {z: 5, s: 2, i: 2}.", "a": "5/63" }, { "q": "What is prob of picking 3 o and 2 s when five letters picked without replacement from {y: 5, s: 3, o: 5, d: 4}?", "a": "15/3094" }, { "q": "Five letters picked without replacement from rbobrorrbrbb. What is prob of picking 2 r and 3 b?", "a": "25/198" }, { "q": "Five letters picked without replacement from qqeqdeyiqqeeiedyiwed. Give prob of picking 1 i and 4 e.", "a": "15/5168" }, { "q": "Five letters picked without replacement from vkrvvrppkpnvlnknrkr. What is prob of picking 3 r, 1 l, and 1 n?", "a": "1/969" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from qyxlqxqlgxgqkqll.", "a": "1/4368" }, { "q": "Five letters picked without replacement from {l: 6, j: 3, w: 2, g: 3, f: 3}. Give prob of picking 2 f, 1 w, and 2 g.", "a": "9/3094" }, { "q": "Five letters picked without replacement from xddddddd. Give prob of picking 5 d.", "a": "3/8" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from {h: 8, k: 1, g: 2}?", "a": "4/33" }, { "q": "Calculate prob of picking 1 h, 2 k, 1 t, and 1 m when five letters picked without replacement from hkkmotmkhehh.", "a": "1/33" }, { "q": "Five letters picked without replacement from yenweyymnnnwl. What is prob of picking 1 m, 1 l, 1 e, 1 y, and 1 n?", "a": "8/429" }, { "q": "Five letters picked without replacement from {x: 7, j: 5, b: 5, r: 1, k: 2}. Give prob of picking 2 j, 1 r, and 2 b.", "a": "25/3876" }, { "q": "Five letters picked without replacement from {y: 3, o: 1, g: 1, a: 4, q: 2}. What is prob of picking 2 y and 3 a?", "a": "2/77" }, { "q": "Five letters picked without replacement from {p: 4, v: 3}. What is prob of picking 3 v and 2 p?", "a": "2/7" }, { "q": "What is prob of picking 2 b, 2 g, and 1 j when five letters picked without replacement from {s: 1, x: 1, g: 1, b: 1, j: 1}?", "a": "0" }, { "q": "What is prob of picking 3 o and 2 b when five letters picked without replacement from {b: 9, o: 10}?", "a": "120/323" }, { "q": "Five letters picked without replacement from {u: 10, d: 1}. Give prob of picking 4 u and 1 d.", "a": "5/11" }, { "q": "Five letters picked without replacement from oooooooooo. Give prob of picking 5 o.", "a": "1" }, { "q": "Five letters picked without replacement from {o: 1, y: 4, h: 9}. Give prob of picking 1 o, 2 h, and 2 y.", "a": "108/1001" }, { "q": "What is prob of picking 2 l, 1 m, and 2 e when five letters picked without replacement from mnmnmmelemmmlmjmm?", "a": "5/3094" }, { "q": "What is prob of picking 4 v and 1 g when five letters picked without replacement from {y: 8, g: 3, v: 5}?", "a": "5/1456" }, { "q": "What is prob of picking 2 d, 1 p, 1 h, and 1 f when five letters picked without replacement from {h: 2, d: 3, e: 3, f: 2, p: 1}?", "a": "2/77" }, { "q": "What is prob of picking 4 y and 1 q when five letters picked without replacement from {q: 5, y: 8}?", "a": "350/1287" }, { "q": "Five letters picked without replacement from {p: 6, i: 3, k: 4}. Give prob of picking 3 k and 2 i.", "a": "4/429" }, { "q": "What is prob of picking 3 a and 2 u when five letters picked without replacement from aaaauaaaauauaa?", "a": "45/182" }, { "q": "Five letters picked without replacement from {j: 2, i: 9, o: 4}. Give prob of picking 1 i and 4 o.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {h: 7, t: 13}. What is prob of picking 5 h?", "a": "7/5168" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gggggggggghggggg?", "a": "11/16" }, { "q": "Five letters picked without replacement from tkjktqtniqtkk. What is prob of picking 3 t and 2 k?", "a": "8/429" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 13, d: 2}.", "a": "3/7" }, { "q": "Calculate prob of picking 3 i and 2 g when five letters picked without replacement from iffifgiftffiifigt.", "a": "5/1547" }, { "q": "Five letters picked without replacement from ffktttktktsfsssk. What is prob of picking 1 t, 3 f, and 1 s?", "a": "5/1092" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from {r: 5}?", "a": "1" }, { "q": "Five letters picked without replacement from otttauoo. What is prob of picking 3 o, 1 u, and 1 a?", "a": "1/56" }, { "q": "Five letters picked without replacement from bccccbccccbcccbc. Give prob of picking 2 c and 3 b.", "a": "11/182" }, { "q": "What is prob of picking 1 t, 1 y, and 3 w when five letters picked without replacement from {w: 4, t: 1, y: 4}?", "a": "8/63" }, { "q": "Calculate prob of picking 1 p, 2 h, and 2 k when five letters picked without replacement from kkhkkkkkkphhkphp.", "a": "27/182" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from qqqqaaqaaaaaa?", "a": "1/1287" }, { "q": "Five letters picked without replacement from rsrsrrrrssrrr. Give prob of picking 3 s and 2 r.", "a": "16/143" }, { "q": "Calculate prob of picking 1 m and 4 a when five letters picked without replacement from amdbmaawawb.", "a": "1/231" }, { "q": "Calculate prob of picking 3 p and 2 m when five letters picked without replacement from {j: 1, t: 5, m: 3, p: 3, o: 8}.", "a": "1/5168" }, { "q": "Calculate prob of picking 1 d, 3 c, and 1 r when five letters picked without replacement from {d: 6, v: 7, r: 4, c: 3}.", "a": "1/646" }, { "q": "Five letters picked without replacement from {o: 3, c: 2, b: 1, z: 3, h: 3}. Give prob of picking 1 b, 3 z, and 1 o.", "a": "1/264" }, { "q": "Five letters picked without replacement from {l: 2, n: 4, h: 7}. Give prob of picking 1 n, 2 h, and 2 l.", "a": "28/429" }, { "q": "Five letters picked without replacement from {s: 1, v: 2, g: 6}. What is prob of picking 1 s, 2 v, and 2 g?", "a": "5/42" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from rrhrrhrrhh.", "a": "1/42" }, { "q": "Calculate prob of picking 3 t and 2 k when five letters picked without replacement from {k: 3, t: 5}.", "a": "15/28" }, { "q": "Calculate prob of picking 4 n and 1 i when five letters picked without replacement from innznnnnzz.", "a": "5/84" }, { "q": "Calculate prob of picking 1 y and 4 i when five letters picked without replacement from {i: 2, o: 2, y: 1, n: 2, v: 1}.", "a": "0" }, { "q": "What is prob of picking 1 c and 4 b when five letters picked without replacement from bcbbbbcbcbbcbbccb?", "a": "495/1547" }, { "q": "Five letters picked without replacement from {t: 6, h: 6}. Give prob of picking 1 t and 4 h.", "a": "5/44" }, { "q": "Five letters picked without replacement from {i: 1, j: 1, t: 1, k: 3, f: 4}. Give prob of picking 1 k, 1 i, 1 t, 1 f, and 1 j.", "a": "1/21" }, { "q": "What is prob of picking 4 j and 1 v when five letters picked without replacement from vjvjjvjvvvjjvvvvj?", "a": "25/442" }, { "q": "Five letters picked without replacement from puuuuo. What is prob of picking 3 o, 1 p, and 1 u?", "a": "0" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from zzyzzzyyzyzzyy?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {n: 12, k: 1}. Give prob of picking 5 n.", "a": "8/13" }, { "q": "What is prob of picking 2 j, 2 f, and 1 k when five letters picked without replacement from {f: 1, y: 1, o: 2, j: 1, u: 1, k: 1}?", "a": "0" }, { "q": "What is prob of picking 4 b and 1 v when five letters picked without replacement from {b: 5, q: 1, h: 4, v: 1}?", "a": "5/462" }, { "q": "Five letters picked without replacement from {j: 3, x: 11}. What is prob of picking 2 x and 3 j?", "a": "5/182" }, { "q": "Five letters picked without replacement from gggmgmmmgmggmggggg. What is prob of picking 1 g and 4 m?", "a": "5/238" }, { "q": "Five letters picked without replacement from wqboblpwwwbwww. Give prob of picking 1 w, 1 l, 2 b, and 1 o.", "a": "3/286" }, { "q": "What is prob of picking 3 b, 1 j, and 1 g when five letters picked without replacement from bjgjiiigbibibbjbggbi?", "a": "35/1292" }, { "q": "Five letters picked without replacement from {v: 8}. What is prob of picking 5 v?", "a": "1" }, { "q": "What is prob of picking 3 w, 1 v, and 1 g when five letters picked without replacement from wsgggwgnwvvvvwgvnv?", "a": "5/357" }, { "q": "What is prob of picking 1 o and 4 k when five letters picked without replacement from {o: 8, k: 6, q: 1}?", "a": "40/1001" }, { "q": "Calculate prob of picking 2 d and 3 w when five letters picked without replacement from {f: 4, d: 2, w: 1, m: 3}.", "a": "0" }, { "q": "Five letters picked without replacement from xeyeezryhhyhrzxh. What is prob of picking 1 h, 2 z, and 2 r?", "a": "1/1092" }, { "q": "Five letters picked without replacement from {f: 1, p: 3, z: 1, a: 1}. Give prob of picking 4 a and 1 p.", "a": "0" }, { "q": "What is prob of picking 1 w, 2 r, and 2 k when five letters picked without replacement from {w: 1, u: 1, k: 2, r: 2}?", "a": "1/6" }, { "q": "What is prob of picking 1 s, 2 r, 1 d, and 1 t when five letters picked without replacement from rtrtdgcs?", "a": "1/28" }, { "q": "Calculate prob of picking 1 c and 4 r when five letters picked without replacement from rcrrrrrrcccrrrrccccr.", "a": "165/646" }, { "q": "Five letters picked without replacement from wwwwkwkwkwwkkwkw. Give prob of picking 5 w.", "a": "3/52" }, { "q": "What is prob of picking 2 e, 2 g, and 1 s when five letters picked without replacement from {w: 5, e: 1, m: 2, s: 8, g: 3}?", "a": "0" }, { "q": "Calculate prob of picking 2 x and 3 v when five letters picked without replacement from {x: 6, h: 7, v: 6}.", "a": "25/969" }, { "q": "Calculate prob of picking 1 l and 4 q when five letters picked without replacement from {l: 1, q: 14}.", "a": "1/3" }, { "q": "Calculate prob of picking 2 x, 2 o, and 1 z when five letters picked without replacement from {x: 2, o: 2, z: 3}.", "a": "1/7" }, { "q": "Five letters picked without replacement from {v: 2, k: 4, f: 1, w: 4, c: 2}. What is prob of picking 4 w and 1 k?", "a": "4/1287" }, { "q": "What is prob of picking 1 a, 1 q, and 3 p when five letters picked without replacement from axgxxapaxxpppgqppa?", "a": "10/1071" }, { "q": "Five letters picked without replacement from clcolzclzzllz. What is prob of picking 1 c and 4 l?", "a": "5/429" }, { "q": "What is prob of picking 2 u and 3 l when five letters picked without replacement from {l: 4, u: 4, b: 6, f: 2}?", "a": "1/182" }, { "q": "Five letters picked without replacement from wwwhhtmmhhm. What is prob of picking 1 m, 1 t, 2 h, and 1 w?", "a": "9/77" }, { "q": "Five letters picked without replacement from {i: 8, p: 5}. Give prob of picking 5 i.", "a": "56/1287" }, { "q": "Calculate prob of picking 1 c and 4 z when five letters picked without replacement from ssczczscscccczcccscz.", "a": "11/15504" }, { "q": "Calculate prob of picking 4 e and 1 f when five letters picked without replacement from eeeeefeeeeeee.", "a": "5/13" }, { "q": "What is prob of picking 2 l and 3 o when five letters picked without replacement from {o: 11, l: 2, p: 1, d: 2}?", "a": "55/1456" }, { "q": "Five letters picked without replacement from {t: 1, j: 3, p: 2, i: 1, e: 2}. What is prob of picking 2 j, 1 p, 1 t, and 1 e?", "a": "2/21" }, { "q": "Five letters picked without replacement from cjjjjjckjjjckpkpjjjc. Give prob of picking 2 p, 2 k, and 1 j.", "a": "11/5168" }, { "q": "Five letters picked without replacement from {i: 2, p: 1, h: 2, g: 1, a: 2}. What is prob of picking 3 g and 2 h?", "a": "0" }, { "q": "Calculate prob of picking 1 a and 4 e when five letters picked without replacement from {a: 2, e: 4, x: 1}.", "a": "2/21" }, { "q": "What is prob of picking 2 a and 3 p when five letters picked without replacement from paappaaappppapp?", "a": "60/143" }, { "q": "Calculate prob of picking 2 w, 1 m, 1 t, and 1 n when five letters picked without replacement from {m: 1, w: 2, b: 2, t: 2, n: 3}.", "a": "1/42" }, { "q": "What is prob of picking 2 t, 1 o, and 2 f when five letters picked without replacement from ftxoxcofxtxjxc?", "a": "1/1001" }, { "q": "Calculate prob of picking 1 h, 2 r, and 2 m when five letters picked without replacement from rmhmrmrmmrx.", "a": "10/77" }, { "q": "Calculate prob of picking 2 c, 1 j, and 2 r when five letters picked without replacement from rcrrcricrojcci.", "a": "50/1001" }, { "q": "Five letters picked without replacement from yybvvvwwovyovvwovwv. Give prob of picking 3 y, 1 o, and 1 v.", "a": "2/969" }, { "q": "What is prob of picking 3 h and 2 u when five letters picked without replacement from huuhhhhhhhhhuhhhuh?", "a": "13/51" }, { "q": "Five letters picked without replacement from {l: 8, p: 8, x: 2}. What is prob of picking 1 p and 4 l?", "a": "10/153" }, { "q": "Five letters picked without replacement from {x: 2, h: 3, i: 6}. What is prob of picking 2 x, 1 h, and 2 i?", "a": "15/154" }, { "q": "Five letters picked without replacement from eceeeeggge. What is prob of picking 3 e and 2 g?", "a": "5/21" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from {y: 6}?", "a": "1" }, { "q": "Calculate prob of picking 1 m and 4 f when five letters picked without replacement from {f: 5, x: 3, q: 1, m: 5}.", "a": "25/2002" }, { "q": "Five letters picked without replacement from {r: 2, h: 2, t: 1, e: 3, y: 7}. Give prob of picking 2 e, 1 h, 1 r, and 1 y.", "a": "4/143" }, { "q": "Five letters picked without replacement from xvcevemenx. What is prob of picking 2 v, 1 n, 1 e, and 1 x?", "a": "1/42" }, { "q": "Five letters picked without replacement from {j: 9, b: 5}. What is prob of picking 3 b and 2 j?", "a": "180/1001" }, { "q": "Calculate prob of picking 4 j and 1 n when five letters picked without replacement from {j: 5, n: 4}.", "a": "10/63" }, { "q": "Five letters picked without replacement from {v: 6}. What is prob of picking 5 v?", "a": "1" }, { "q": "What is prob of picking 3 e and 2 m when five letters picked without replacement from {m: 3, e: 6}?", "a": "10/21" }, { "q": "Five letters picked without replacement from {e: 4, x: 5, z: 5, b: 2, p: 1, m: 2}. What is prob of picking 2 x, 2 m, and 1 z?", "a": "25/5814" }, { "q": "Calculate prob of picking 3 k and 2 v when five letters picked without replacement from kvkkkvvkvkkkvkvkv.", "a": "90/221" }, { "q": "What is prob of picking 1 v, 2 r, and 2 d when five letters picked without replacement from vvvvrrrrvxdrvdvrxrvd?", "a": "21/646" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from {o: 8, c: 1}.", "a": "4/9" }, { "q": "Calculate prob of picking 2 y, 2 z, and 1 d when five letters picked without replacement from dzddydydydzydzdyzyz.", "a": "100/969" }, { "q": "What is prob of picking 2 q, 1 b, 1 x, and 1 y when five letters picked without replacement from qqqxqyqxxbx?", "a": "20/231" }, { "q": "Five letters picked without replacement from qqvqqqvvqqqqqq. Give prob of picking 1 v and 4 q.", "a": "45/91" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from vdvvdvvvdvddddvwvw?", "a": "1/68" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from {z: 5, a: 4}.", "a": "1/126" }, { "q": "Calculate prob of picking 1 s and 4 m when five letters picked without replacement from {s: 3, m: 8}.", "a": "5/11" }, { "q": "What is prob of picking 1 q and 4 o when five letters picked without replacement from oqqnnqqqqiopoqqiio?", "a": "1/1071" }, { "q": "Five letters picked without replacement from {w: 1, b: 3, g: 3}. Give prob of picking 3 g, 1 w, and 1 b.", "a": "1/7" }, { "q": "Five letters picked without replacement from {j: 3, q: 2, z: 4, b: 9, x: 2}. What is prob of picking 1 x, 2 b, 1 j, and 1 z?", "a": "18/323" }, { "q": "Five letters picked without replacement from nnzzrnrnrznznzzn. Give prob of picking 3 n and 2 r.", "a": "5/208" }, { "q": "Calculate prob of picking 4 y and 1 q when five letters picked without replacement from {f: 5, q: 2, y: 10, x: 1, k: 1}.", "a": "35/969" }, { "q": "Calculate prob of picking 1 i, 1 o, 2 e, and 1 l when five letters picked without replacement from oemolelmmoolio.", "a": "15/2002" }, { "q": "Five letters picked without replacement from {g: 3, k: 11, j: 2, y: 2, s: 1}. What is prob of picking 1 y, 2 g, 1 s, and 1 j?", "a": "1/969" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from vvvyyyvvyvv?", "a": "1/22" }, { "q": "Five letters picked without replacement from {e: 7, h: 13}. What is prob of picking 5 e?", "a": "7/5168" }, { "q": "Five letters picked without replacement from {l: 3, m: 11}. Give prob of picking 3 m and 2 l.", "a": "45/182" }, { "q": "Calculate prob of picking 3 x and 2 g when five letters picked without replacement from uxhrxrggxuh.", "a": "1/462" }, { "q": "What is prob of picking 4 w and 1 k when five letters picked without replacement from {w: 4, k: 1, l: 2}?", "a": "1/21" }, { "q": "Five letters picked without replacement from hnnhndndnnnhnnd. What is prob of picking 5 n?", "a": "6/143" }, { "q": "What is prob of picking 1 o and 4 p when five letters picked without replacement from {o: 6, p: 7}?", "a": "70/429" }, { "q": "Five letters picked without replacement from wwjddvxdxwvdddv. Give prob of picking 2 w, 1 x, 1 d, and 1 j.", "a": "12/1001" }, { "q": "Calculate prob of picking 2 r and 3 w when five letters picked without replacement from wlwwrojowrl.", "a": "2/231" }, { "q": "What is prob of picking 1 q and 4 f when five letters picked without replacement from {q: 2, g: 1, n: 1, f: 4, t: 10}?", "a": "1/4284" }, { "q": "Five letters picked without replacement from {c: 11, w: 2}. What is prob of picking 5 c?", "a": "14/39" }, { "q": "Calculate prob of picking 4 x and 1 r when five letters picked without replacement from {x: 4, r: 1, n: 2}.", "a": "1/21" }, { "q": "Five letters picked without replacement from oossossoo. What is prob of picking 1 s and 4 o?", "a": "10/63" }, { "q": "Five letters picked without replacement from mtotsrrftmosmotr. What is prob of picking 1 r, 1 o, 1 s, 1 m, and 1 f?", "a": "9/728" }, { "q": "What is prob of picking 3 b, 1 y, and 1 o when five letters picked without replacement from bhbhyyfbboybbbbh?", "a": "1/26" }, { "q": "What is prob of picking 3 d, 1 z, and 1 l when five letters picked without replacement from {l: 1, d: 5, c: 3, z: 2}?", "a": "10/231" }, { "q": "Calculate prob of picking 3 p and 2 h when five letters picked without replacement from ehheepeehheeeheep.", "a": "0" }, { "q": "Five letters picked without replacement from rrlrllrlrrrr. What is prob of picking 2 r and 3 l?", "a": "14/99" }, { "q": "Five letters picked without replacement from qpqjuoujjqquq. What is prob of picking 1 p and 4 q?", "a": "5/1287" }, { "q": "What is prob of picking 1 j, 1 z, 1 r, and 2 b when five letters picked without replacement from {j: 1, b: 7, m: 3, v: 3, r: 3, z: 1}?", "a": "1/136" }, { "q": "Calculate prob of picking 1 n and 4 j when five letters picked without replacement from {j: 8, n: 7}.", "a": "70/429" }, { "q": "Five letters picked without replacement from mammammmamaaa. Give prob of picking 4 a and 1 m.", "a": "35/429" }, { "q": "What is prob of picking 2 u, 2 a, and 1 q when five letters picked without replacement from kqraappkuu?", "a": "1/252" }, { "q": "What is prob of picking 3 l and 2 e when five letters picked without replacement from {l: 8, e: 8}?", "a": "14/39" }, { "q": "Calculate prob of picking 3 e and 2 m when five letters picked without replacement from {m: 9, e: 10}.", "a": "120/323" }, { "q": "What is prob of picking 2 x, 1 t, and 2 u when five letters picked without replacement from {t: 2, x: 3, u: 5, z: 3}?", "a": "20/429" }, { "q": "Five letters picked without replacement from zrrrzrrrrrr. Give prob of picking 5 r.", "a": "3/11" }, { "q": "What is prob of picking 2 d, 1 q, and 2 m when five letters picked without replacement from {q: 1, m: 5, g: 2, d: 2, e: 9}?", "a": "5/5814" }, { "q": "What is prob of picking 4 z and 1 f when five letters picked without replacement from {z: 6, f: 8}?", "a": "60/1001" }, { "q": "Five letters picked without replacement from {o: 1, r: 3, y: 2}. Give prob of picking 3 r and 2 y.", "a": "1/6" }, { "q": "Five letters picked without replacement from {k: 2, t: 1, i: 5, o: 5, g: 1}. Give prob of picking 1 k and 4 i.", "a": "5/1001" }, { "q": "Five letters picked without replacement from ddddmdddmddddmmmdd. Give prob of picking 4 d and 1 m.", "a": "3575/8568" }, { "q": "What is prob of picking 1 c and 4 e when five letters picked without replacement from eeweeeeeweeeeeecwe?", "a": "143/1224" }, { "q": "Five letters picked without replacement from oooooooo. Give prob of picking 5 o.", "a": "1" }, { "q": "Five letters picked without replacement from {l: 4, k: 7}. Give prob of picking 1 k and 4 l.", "a": "1/66" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from {g: 1, e: 6, c: 7, n: 2}.", "a": "1/728" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {w: 7, m: 1}.", "a": "0" }, { "q": "What is prob of picking 2 r, 2 b, and 1 x when five letters picked without replacement from {b: 4, x: 3, f: 1, s: 3, r: 2, h: 3}?", "a": "3/728" }, { "q": "What is prob of picking 1 j, 3 i, and 1 f when five letters picked without replacement from gijiimiiijjfiifigj?", "a": "4/51" }, { "q": "Five letters picked without replacement from {s: 8, g: 5}. Give prob of picking 5 s.", "a": "56/1287" }, { "q": "Five letters picked without replacement from {m: 8, g: 11}. What is prob of picking 3 m and 2 g?", "a": "770/2907" }, { "q": "What is prob of picking 1 r and 4 f when five letters picked without replacement from frrrfffrfrrfff?", "a": "30/143" }, { "q": "Calculate prob of picking 2 n, 1 c, and 2 t when five letters picked without replacement from ctngyccttctnccctccc.", "a": "25/2907" }, { "q": "Calculate prob of picking 1 z, 1 k, 1 d, and 2 b when five letters picked without replacement from {b: 7, z: 1, k: 1, d: 1, a: 1}.", "a": "1/22" }, { "q": "Five letters picked without replacement from ssmyxsmlysxyaxyly. Give prob of picking 3 y, 1 x, and 1 l.", "a": "15/1547" }, { "q": "What is prob of picking 3 x and 2 t when five letters picked without replacement from xlllxiiilliltlxt?", "a": "1/4368" }, { "q": "Five letters picked without replacement from kkckkktkkkttttkt. Give prob of picking 2 k and 3 t.", "a": "15/91" }, { "q": "What is prob of picking 3 g and 2 o when five letters picked without replacement from {n: 3, o: 1, g: 1, i: 3, q: 1, b: 4}?", "a": "0" }, { "q": "What is prob of picking 1 d, 1 g, 2 m, and 1 f when five letters picked without replacement from {e: 2, f: 1, g: 1, d: 1, p: 2, m: 5}?", "a": "5/396" }, { "q": "Five letters picked without replacement from {x: 3, b: 3, r: 1}. Give prob of picking 1 x, 3 b, and 1 r.", "a": "1/7" }, { "q": "What is prob of picking 1 w and 4 p when five letters picked without replacement from wwpwpwpwwpwppwwwpp?", "a": "25/306" }, { "q": "Five letters picked without replacement from vvmvmvmbbvmvmmbbvvb. What is prob of picking 4 b and 1 v?", "a": "10/2907" }, { "q": "Five letters picked without replacement from wwwvwvwwww. Give prob of picking 3 w and 2 v.", "a": "2/9" }, { "q": "What is prob of picking 1 z, 1 e, 1 m, and 2 a when five letters picked without replacement from {m: 2, a: 7, t: 5, z: 1, e: 3}?", "a": "1/68" }, { "q": "What is prob of picking 3 n and 2 k when five letters picked without replacement from vcvnncnnknunnc?", "a": "0" }, { "q": "Five letters picked without replacement from {c: 5, e: 4, y: 7}. What is prob of picking 5 c?", "a": "1/4368" }, { "q": "Calculate prob of picking 1 m, 3 l, and 1 u when five letters picked without replacement from lmlulxym.", "a": "1/28" }, { "q": "Calculate prob of picking 2 m and 3 h when five letters picked without replacement from hmhmhhhmhhhhb.", "a": "28/143" }, { "q": "Calculate prob of picking 2 n, 2 w, and 1 s when five letters picked without replacement from nvsgnsvvvwbsnwvvgsg.", "a": "1/969" }, { "q": "Five letters picked without replacement from caaaaacccccacaaaaacc. What is prob of picking 2 c and 3 a?", "a": "495/1292" }, { "q": "Five letters picked without replacement from uzqzizuux. What is prob of picking 1 q, 1 z, and 3 u?", "a": "1/42" }, { "q": "What is prob of picking 3 o and 2 f when five letters picked without replacement from fwwuofwoo?", "a": "1/126" }, { "q": "Five letters picked without replacement from {y: 3, m: 6, o: 3}. Give prob of picking 3 m and 2 o.", "a": "5/66" }, { "q": "Five letters picked without replacement from rrtrtrtontrnnnnnnr. Give prob of picking 3 r and 2 n.", "a": "5/102" }, { "q": "Five letters picked without replacement from {y: 5, m: 14}. What is prob of picking 3 y and 2 m?", "a": "455/5814" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from {t: 1, d: 5, p: 1}?", "a": "1/21" }, { "q": "Five letters picked without replacement from bcbkfssccbbchcbskk. Give prob of picking 2 s, 1 f, 1 b, and 1 k.", "a": "5/952" }, { "q": "Five letters picked without replacement from {w: 2, l: 4, n: 4, u: 1, p: 3, o: 1}. What is prob of picking 3 n and 2 l?", "a": "8/1001" }, { "q": "Calculate prob of picking 2 g, 1 v, 1 l, and 1 n when five letters picked without replacement from {n: 3, l: 3, v: 2, g: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from ttttgctgcct. Give prob of picking 3 t and 2 g.", "a": "10/231" }, { "q": "Five letters picked without replacement from {u: 2, z: 3, k: 5}. What is prob of picking 3 z and 2 u?", "a": "1/252" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sssssss?", "a": "1" }, { "q": "Five letters picked without replacement from efeefeeeeefef. What is prob of picking 3 e and 2 f?", "a": "56/143" }, { "q": "Five letters picked without replacement from {o: 1, z: 8, x: 3, j: 1}. Give prob of picking 1 x and 4 z.", "a": "70/429" }, { "q": "Five letters picked without replacement from {g: 3, h: 6, y: 6}. Give prob of picking 2 g, 2 y, and 1 h.", "a": "90/1001" }, { "q": "Calculate prob of picking 2 s and 3 y when five letters picked without replacement from lysyllylyyllylslyyy.", "a": "7/969" }, { "q": "Five letters picked without replacement from mmmmhhmmmmhhooh. What is prob of picking 1 o and 4 h?", "a": "10/3003" }, { "q": "Calculate prob of picking 1 n, 2 v, and 2 h when five letters picked without replacement from hhlnnavaavhaaaaqavh.", "a": "1/323" }, { "q": "What is prob of picking 2 a, 2 n, and 1 d when five letters picked without replacement from {i: 4, n: 3, d: 6, f: 2, h: 1, a: 4}?", "a": "9/1292" }, { "q": "What is prob of picking 1 z, 2 r, and 2 q when five letters picked without replacement from {o: 4, q: 1, z: 3, r: 2, m: 9}?", "a": "0" }, { "q": "What is prob of picking 1 i and 4 v when five letters picked without replacement from hihhhhhvvhvvvvvhhhv?", "a": "35/5814" }, { "q": "Five letters picked without replacement from stthhsskkgkhg. What is prob of picking 2 g, 2 s, and 1 t?", "a": "2/429" }, { "q": "Calculate prob of picking 1 d, 1 x, 1 t, and 2 v when five letters picked without replacement from {d: 1, y: 1, v: 9, t: 2, x: 2}.", "a": "48/1001" }, { "q": "Five letters picked without replacement from {q: 2, c: 12, i: 4}. What is prob of picking 4 c and 1 i?", "a": "55/238" }, { "q": "Five letters picked without replacement from {w: 1, j: 1, q: 4, p: 6}. Give prob of picking 1 w, 1 p, 1 j, and 2 q.", "a": "1/22" }, { "q": "Five letters picked without replacement from oomwwcdcc. What is prob of picking 1 o, 2 w, and 2 d?", "a": "0" }, { "q": "Five letters picked without replacement from zzvzzzzvzzzvzzzvzzzv. Give prob of picking 1 v and 4 z.", "a": "2275/5168" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {m: 5, l: 7}?", "a": "1/792" }, { "q": "Calculate prob of picking 2 u, 1 x, 1 a, and 1 v when five letters picked without replacement from {x: 2, a: 6, e: 1, b: 4, u: 2, v: 4}.", "a": "4/969" }, { "q": "What is prob of picking 2 l, 1 k, 1 s, and 1 m when five letters picked without replacement from lsylkkkkksym?", "a": "5/396" }, { "q": "Five letters picked without replacement from {y: 5, x: 5}. What is prob of picking 5 x?", "a": "1/252" }, { "q": "Five letters picked without replacement from {g: 4, r: 12}. Give prob of picking 5 r.", "a": "33/182" }, { "q": "Five letters picked without replacement from {r: 13, d: 3, h: 4}. What is prob of picking 1 d and 4 h?", "a": "1/5168" }, { "q": "What is prob of picking 1 k, 2 e, and 2 h when five letters picked without replacement from keykyhkkhereyye?", "a": "8/1001" }, { "q": "Calculate prob of picking 1 t, 3 s, and 1 h when five letters picked without replacement from {h: 2, s: 6, t: 7}.", "a": "40/429" }, { "q": "Five letters picked without replacement from {v: 16, z: 4}. What is prob of picking 5 v?", "a": "91/323" }, { "q": "Five letters picked without replacement from lnhxolhoghlx. What is prob of picking 1 g, 2 l, and 2 h?", "a": "1/88" }, { "q": "What is prob of picking 2 g and 3 s when five letters picked without replacement from gggsssgssm?", "a": "5/21" }, { "q": "Calculate prob of picking 1 e, 1 c, 1 u, and 2 d when five letters picked without replacement from {n: 5, d: 2, u: 1, c: 3, e: 1}.", "a": "1/264" }, { "q": "Five letters picked without replacement from huuuhuuaaahuuaauuaa. What is prob of picking 3 u and 2 h?", "a": "7/323" }, { "q": "Calculate prob of picking 2 w, 1 s, and 2 y when five letters picked without replacement from {w: 5, s: 1, p: 2, y: 4, t: 5}.", "a": "15/1547" }, { "q": "Five letters picked without replacement from vohoovov. What is prob of picking 4 o and 1 v?", "a": "3/56" }, { "q": "Calculate prob of picking 1 o, 1 t, 1 s, and 2 h when five letters picked without replacement from tjojthhtts.", "a": "1/63" }, { "q": "What is prob of picking 3 c and 2 e when five letters picked without replacement from {e: 14, c: 6}?", "a": "455/3876" }, { "q": "Calculate prob of picking 1 c and 4 h when five letters picked without replacement from {h: 7, c: 3}.", "a": "5/12" }, { "q": "Calculate prob of picking 3 r and 2 y when five letters picked without replacement from rrpprryyryrrrry.", "a": "24/143" }, { "q": "Calculate prob of picking 1 c, 1 f, and 3 h when five letters picked without replacement from {c: 1, f: 4, h: 3}.", "a": "1/14" }, { "q": "Five letters picked without replacement from {l: 2, s: 2, f: 13, p: 3}. Give prob of picking 2 l, 1 p, and 2 f.", "a": "39/2584" }, { "q": "What is prob of picking 2 a and 3 e when five letters picked without replacement from aaaaeaeeaeee?", "a": "25/66" }, { "q": "Calculate prob of picking 4 n and 1 h when five letters picked without replacement from {n: 11, h: 5}.", "a": "275/728" }, { "q": "Calculate prob of picking 3 n and 2 d when five letters picked without replacement from nnnnnnndndnnnnnnn.", "a": "5/68" }, { "q": "What is prob of picking 2 k and 3 d when five letters picked without replacement from {g: 7, d: 8, e: 1, k: 3}?", "a": "14/969" }, { "q": "What is prob of picking 1 r, 1 i, and 3 k when five letters picked without replacement from {j: 3, g: 1, r: 2, i: 1, k: 3}?", "a": "1/126" }, { "q": "What is prob of picking 3 c, 1 t, and 1 l when five letters picked without replacement from iiitciciiclciii?", "a": "4/3003" }, { "q": "Five letters picked without replacement from {b: 8, t: 1, l: 4, x: 7}. What is prob of picking 1 t, 2 l, and 2 b?", "a": "7/646" }, { "q": "Calculate prob of picking 4 t and 1 g when five letters picked without replacement from {g: 3, t: 5}.", "a": "15/56" }, { "q": "What is prob of picking 1 d and 4 g when five letters picked without replacement from dggggddggdgggggdggg?", "a": "5005/11628" }, { "q": "Five letters picked without replacement from {s: 1, l: 1, t: 1, y: 1, u: 2}. What is prob of picking 1 t and 4 s?", "a": "0" }, { "q": "What is prob of picking 3 a and 2 o when five letters picked without replacement from lajoaaaaxxlaaoalalal?", "a": "5/646" }, { "q": "Five letters picked without replacement from {a: 17, d: 2}. Give prob of picking 2 d and 3 a.", "a": "10/171" }, { "q": "Five letters picked without replacement from bdbddfpmop. What is prob of picking 1 b, 1 f, 1 o, and 2 p?", "a": "1/126" }, { "q": "Five letters picked without replacement from ataataxatttxt. Give prob of picking 5 t.", "a": "2/429" }, { "q": "Calculate prob of picking 3 x, 1 z, and 1 t when five letters picked without replacement from {t: 7, z: 3, x: 7}.", "a": "105/884" }, { "q": "Five letters picked without replacement from kuuolouo. What is prob of picking 1 l, 3 o, and 1 k?", "a": "1/56" }, { "q": "Five letters picked without replacement from tsrtthhhgv. Give prob of picking 3 h, 1 r, and 1 s.", "a": "1/252" }, { "q": "What is prob of picking 2 c and 3 w when five letters picked without replacement from {w: 4, e: 13, c: 2}?", "a": "1/2907" }, { "q": "What is prob of picking 2 j, 1 l, and 2 h when five letters picked without replacement from {j: 3, h: 6, l: 1, z: 3}?", "a": "5/143" }, { "q": "Five letters picked without replacement from {g: 1, k: 7, u: 3, a: 5, q: 4}. What is prob of picking 2 q, 1 k, and 2 a?", "a": "35/1292" }, { "q": "Calculate prob of picking 2 j and 3 b when five letters picked without replacement from jjjbbbbjbbjbbbjjb.", "a": "90/221" }, { "q": "What is prob of picking 1 z and 4 m when five letters picked without replacement from {z: 3, m: 9}?", "a": "21/44" }, { "q": "What is prob of picking 1 w and 4 n when five letters picked without replacement from {n: 3, w: 3}?", "a": "0" }, { "q": "What is prob of picking 1 j, 3 x, and 1 b when five letters picked without replacement from {c: 2, b: 6, x: 3, j: 5}?", "a": "5/728" }, { "q": "Five letters picked without replacement from {e: 2, i: 5, g: 2, s: 3}. Give prob of picking 2 i, 2 s, and 1 g.", "a": "5/66" }, { "q": "Calculate prob of picking 1 t, 2 z, and 2 a when five letters picked without replacement from tzzzzzztzzzaa.", "a": "8/143" }, { "q": "Five letters picked without replacement from {r: 3, l: 7}. What is prob of picking 1 r and 4 l?", "a": "5/12" }, { "q": "Calculate prob of picking 2 n and 3 p when five letters picked without replacement from {p: 7, n: 6, g: 6}.", "a": "175/3876" }, { "q": "What is prob of picking 1 a, 2 m, and 2 d when five letters picked without replacement from fmfdmffffaffd?", "a": "1/1287" }, { "q": "Five letters picked without replacement from {p: 4, r: 4, h: 1}. What is prob of picking 1 h and 4 p?", "a": "1/126" }, { "q": "What is prob of picking 2 g and 3 y when five letters picked without replacement from {g: 2, y: 5}?", "a": "10/21" }, { "q": "What is prob of picking 2 u and 3 c when five letters picked without replacement from {u: 7, c: 4}?", "a": "2/11" }, { "q": "Five letters picked without replacement from {y: 7, i: 6}. What is prob of picking 5 y?", "a": "7/429" }, { "q": "Five letters picked without replacement from {q: 6, e: 11, t: 3}. What is prob of picking 2 e, 2 t, and 1 q?", "a": "165/2584" }, { "q": "What is prob of picking 5 r when five letters picked without replacement from rrrdrrrrrr?", "a": "1/2" }, { "q": "What is prob of picking 4 w and 1 y when five letters picked without replacement from cywwyrywnwycwwuywrr?", "a": "175/11628" }, { "q": "Calculate prob of picking 3 d and 2 e when five letters picked without replacement from {e: 2, d: 12}.", "a": "10/91" }, { "q": "Five letters picked without replacement from {v: 1, x: 3, q: 7}. Give prob of picking 1 v, 2 q, and 2 x.", "a": "3/22" }, { "q": "What is prob of picking 2 e and 3 r when five letters picked without replacement from errrrererr?", "a": "5/12" }, { "q": "Five letters picked without replacement from muuzmmzmmz. Give prob of picking 2 m and 3 z.", "a": "5/126" }, { "q": "Five letters picked without replacement from {p: 9, l: 9, u: 2}. What is prob of picking 2 u, 2 p, and 1 l?", "a": "27/1292" }, { "q": "What is prob of picking 1 j and 4 s when five letters picked without replacement from yyssssssjsyzyyzyy?", "a": "5/884" }, { "q": "What is prob of picking 3 g, 1 f, and 1 h when five letters picked without replacement from {h: 1, g: 4, f: 5}?", "a": "5/63" }, { "q": "Five letters picked without replacement from wpppppppppwpwyywppp. Give prob of picking 1 p, 1 y, and 3 w.", "a": "26/2907" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {s: 9, m: 11}?", "a": "21/2584" }, { "q": "Five letters picked without replacement from ybyyxybyybb. Give prob of picking 2 b and 3 y.", "a": "20/77" }, { "q": "Five letters picked without replacement from mijmigmmmmmmmjgmiga. Give prob of picking 2 i, 2 m, and 1 g.", "a": "45/1292" }, { "q": "Five letters picked without replacement from cjhjjjhjjhjjjjjcjcjj. What is prob of picking 5 j?", "a": "1001/7752" }, { "q": "Five letters picked without replacement from uunnsxunyuusyssu. Give prob of picking 2 u, 1 x, and 2 y.", "a": "5/1456" }, { "q": "Five letters picked without replacement from {s: 2, t: 3, g: 6}. Give prob of picking 1 s, 1 t, and 3 g.", "a": "20/77" }, { "q": "Five letters picked without replacement from {s: 6, m: 14}. What is prob of picking 5 s?", "a": "1/2584" }, { "q": "Five letters picked without replacement from nppnp. What is prob of picking 4 p and 1 n?", "a": "0" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from {k: 6, f: 6}.", "a": "1/132" }, { "q": "Five letters picked without replacement from rrrlrrrrrlrrrlrlrlrr. What is prob of picking 5 l?", "a": "1/15504" }, { "q": "Five letters picked without replacement from {z: 5, m: 11}. What is prob of picking 5 z?", "a": "1/4368" }, { "q": "Calculate prob of picking 4 t and 1 n when five letters picked without replacement from {n: 7, t: 7}.", "a": "35/286" }, { "q": "Five letters picked without replacement from lxxxkmkx. Give prob of picking 1 k, 2 x, 1 l, and 1 m.", "a": "3/14" }, { "q": "Calculate prob of picking 1 h, 1 y, 2 o, and 1 i when five letters picked without replacement from icciohiipoiiocy.", "a": "6/1001" }, { "q": "What is prob of picking 4 g and 1 d when five letters picked without replacement from jjjjjdg?", "a": "0" }, { "q": "What is prob of picking 2 k and 3 u when five letters picked without replacement from {u: 5, k: 15}?", "a": "175/2584" }, { "q": "Five letters picked without replacement from {l: 8, j: 7, f: 4}. Give prob of picking 1 l, 1 j, and 3 f.", "a": "56/2907" }, { "q": "Calculate prob of picking 1 f and 4 t when five letters picked without replacement from {h: 1, f: 4, m: 4, t: 6, u: 2}.", "a": "15/1547" }, { "q": "Calculate prob of picking 1 z, 2 v, 1 d, and 1 x when five letters picked without replacement from vvrvxxwdzrwwv.", "a": "4/429" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {g: 12, o: 6, x: 2}?", "a": "1/2584" }, { "q": "Five letters picked without replacement from xxxxtxxxxxxxtx. What is prob of picking 4 x and 1 t?", "a": "45/91" }, { "q": "Five letters picked without replacement from {o: 1, v: 3, q: 4, f: 12}. What is prob of picking 2 q, 1 o, 1 f, and 1 v?", "a": "9/646" }, { "q": "Five letters picked without replacement from {h: 1, n: 2, g: 1, k: 3, t: 6}. Give prob of picking 2 n, 1 g, 1 k, and 1 h.", "a": "1/429" }, { "q": "What is prob of picking 1 f and 4 o when five letters picked without replacement from eoooofo?", "a": "5/21" }, { "q": "Five letters picked without replacement from kuksksuhuuskustksh. What is prob of picking 1 k and 4 u?", "a": "25/8568" }, { "q": "Five letters picked without replacement from {v: 13, d: 5, s: 1}. What is prob of picking 2 d and 3 v?", "a": "715/2907" }, { "q": "Calculate prob of picking 2 g and 3 f when five letters picked without replacement from {f: 5, g: 6, b: 2}.", "a": "50/429" }, { "q": "Five letters picked without replacement from aaauedaan. Give prob of picking 1 u, 1 e, 1 d, and 2 a.", "a": "5/63" }, { "q": "Calculate prob of picking 1 g, 1 a, 1 r, and 2 k when five letters picked without replacement from {a: 1, k: 2, r: 1, l: 2, g: 2}.", "a": "1/28" }, { "q": "Five letters picked without replacement from {t: 5, l: 6, f: 2, r: 2}. Give prob of picking 1 r and 4 l.", "a": "10/1001" }, { "q": "Five letters picked without replacement from hhssssshhshh. What is prob of picking 3 h and 2 s?", "a": "25/66" }, { "q": "What is prob of picking 2 l and 3 z when five letters picked without replacement from {k: 2, l: 5, z: 7}?", "a": "25/143" }, { "q": "Five letters picked without replacement from {f: 7, w: 2}. What is prob of picking 5 f?", "a": "1/6" }, { "q": "Five letters picked without replacement from tnddddttdtndddtn. Give prob of picking 2 d, 2 n, and 1 t.", "a": "5/52" }, { "q": "Calculate prob of picking 2 b, 1 n, and 2 s when five letters picked without replacement from iinimnsbibsbinpnpi.", "a": "1/714" }, { "q": "Five letters picked without replacement from {h: 2, k: 1, f: 3, t: 1, m: 6}. Give prob of picking 2 f, 2 m, and 1 h.", "a": "10/143" }, { "q": "Five letters picked without replacement from {p: 9, b: 7}. What is prob of picking 3 p and 2 b?", "a": "21/52" }, { "q": "Five letters picked without replacement from {u: 2, w: 6, z: 1}. Give prob of picking 4 w and 1 z.", "a": "5/42" }, { "q": "Five letters picked without replacement from iffffyiffifyfyffffif. Give prob of picking 1 y and 4 f.", "a": "715/5168" }, { "q": "Five letters picked without replacement from weaczczwfzawzazeez. What is prob of picking 1 w, 1 a, 2 e, and 1 z?", "a": "9/476" }, { "q": "Calculate prob of picking 3 k and 2 l when five letters picked without replacement from {k: 7, h: 3, t: 1, w: 1, l: 5}.", "a": "25/442" }, { "q": "Five letters picked without replacement from {j: 5, i: 1}. Give prob of picking 5 j.", "a": "1/6" }, { "q": "Five letters picked without replacement from aahaaxvaqaaa. What is prob of picking 3 a, 1 q, and 1 h?", "a": "7/99" }, { "q": "What is prob of picking 1 j, 1 c, 1 n, and 2 r when five letters picked without replacement from cnrjjrjcnrj?", "a": "8/77" }, { "q": "Five letters picked without replacement from zzzzsszsszzzsszz. What is prob of picking 2 z and 3 s?", "a": "75/364" }, { "q": "Five letters picked without replacement from ssspsppsss. Give prob of picking 2 s and 3 p.", "a": "1/12" }, { "q": "Calculate prob of picking 3 a, 1 y, and 1 i when five letters picked without replacement from aayiiiiyiiyaiiy.", "a": "32/3003" }, { "q": "Calculate prob of picking 4 h and 1 r when five letters picked without replacement from rihhheieh.", "a": "1/126" }, { "q": "What is prob of picking 1 a, 3 w, and 1 v when five letters picked without replacement from vvwvawvwvvwvvavvvv?", "a": "4/357" }, { "q": "Calculate prob of picking 2 u, 2 j, and 1 d when five letters picked without replacement from {r: 2, j: 8, u: 3, d: 4, i: 1}.", "a": "2/51" }, { "q": "What is prob of picking 3 a and 2 l when five letters picked without replacement from {l: 2, a: 3, w: 5}?", "a": "1/252" }, { "q": "Five letters picked without replacement from {a: 14, k: 4}. What is prob of picking 1 k and 4 a?", "a": "143/306" }, { "q": "Five letters picked without replacement from {l: 5, c: 4, x: 5}. What is prob of picking 3 x, 1 l, and 1 c?", "a": "100/1001" }, { "q": "Calculate prob of picking 1 c, 1 v, and 3 r when five letters picked without replacement from {b: 1, s: 8, c: 2, o: 1, v: 5, r: 3}.", "a": "5/7752" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {z: 6, o: 5}?", "a": "1/462" }, { "q": "Five letters picked without replacement from {f: 1, a: 1, k: 5, e: 2, o: 4}. What is prob of picking 1 a, 3 k, and 1 e?", "a": "20/1287" }, { "q": "What is prob of picking 1 s and 4 e when five letters picked without replacement from {e: 1, v: 1, f: 2, s: 2}?", "a": "0" }, { "q": "Five letters picked without replacement from {p: 7}. What is prob of picking 5 p?", "a": "1" }, { "q": "Five letters picked without replacement from {z: 5, w: 1, m: 2, t: 2, o: 2}. Give prob of picking 1 m, 1 w, 1 o, and 2 z.", "a": "5/99" }, { "q": "Five letters picked without replacement from {s: 1, r: 1, h: 3, d: 1, o: 4, e: 1}. What is prob of picking 1 e, 1 r, 1 h, 1 o, and 1 d?", "a": "2/77" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from vzzezvzzvzz?", "a": "1/22" }, { "q": "Five letters picked without replacement from {y: 2, n: 5, z: 6, g: 3, j: 4}. Give prob of picking 2 n and 3 g.", "a": "5/7752" }, { "q": "Five letters picked without replacement from {u: 13, k: 2, z: 3}. What is prob of picking 3 z, 1 u, and 1 k?", "a": "13/4284" }, { "q": "Five letters picked without replacement from bttbtbbbttbtbb. What is prob of picking 1 t and 4 b?", "a": "30/143" }, { "q": "Five letters picked without replacement from ivivvivivvvvvvi. Give prob of picking 2 v and 3 i.", "a": "150/1001" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {s: 7}.", "a": "1" }, { "q": "Five letters picked without replacement from dfdfddddfdffdddf. Give prob of picking 4 d and 1 f.", "a": "15/52" }, { "q": "Five letters picked without replacement from xxxxxkqkqxqqq. What is prob of picking 4 x and 1 q?", "a": "25/429" }, { "q": "Five letters picked without replacement from {b: 5, s: 3}. Give prob of picking 2 b and 3 s.", "a": "5/28" }, { "q": "Five letters picked without replacement from ojeemmoqo. Give prob of picking 1 e, 1 j, 2 m, and 1 q.", "a": "1/63" }, { "q": "What is prob of picking 2 w, 1 z, and 2 h when five letters picked without replacement from {k: 6, z: 5, h: 3, r: 2, w: 2}?", "a": "5/2856" }, { "q": "Calculate prob of picking 3 l, 1 m, and 1 d when five letters picked without replacement from dlmddeedldeelmm.", "a": "5/1001" }, { "q": "Five letters picked without replacement from {y: 4, e: 1, s: 7, k: 8}. What is prob of picking 2 k and 3 y?", "a": "7/969" }, { "q": "Five letters picked without replacement from wwwwwwwww. Give prob of picking 5 w.", "a": "1" }, { "q": "Five letters picked without replacement from {a: 3, d: 1, l: 14}. What is prob of picking 3 l and 2 a?", "a": "13/102" }, { "q": "Five letters picked without replacement from wthwhwwwwhwwtwwht. Give prob of picking 2 t and 3 h.", "a": "3/1547" }, { "q": "What is prob of picking 2 x and 3 a when five letters picked without replacement from aaxxsyd?", "a": "0" }, { "q": "What is prob of picking 2 q, 2 d, and 1 p when five letters picked without replacement from qpppdppdwqpppdp?", "a": "9/1001" }, { "q": "Five letters picked without replacement from {p: 9, m: 7}. What is prob of picking 4 p and 1 m?", "a": "21/104" }, { "q": "What is prob of picking 4 c and 1 g when five letters picked without replacement from ccgggggggggggcggggcg?", "a": "1/969" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wwwdoowddwo?", "a": "1/462" }, { "q": "Five letters picked without replacement from {t: 2, x: 3, i: 3, w: 4, k: 2}. Give prob of picking 2 x, 1 k, 1 w, and 1 i.", "a": "36/1001" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from wwwwwwwawwaw.", "a": "7/22" }, { "q": "Calculate prob of picking 2 t, 2 b, and 1 v when five letters picked without replacement from vbhbbbbhbtbbhbhbtvh.", "a": "5/646" }, { "q": "Five letters picked without replacement from {y: 1, l: 2, d: 2, j: 4, e: 2}. What is prob of picking 1 l, 2 e, and 2 d?", "a": "1/231" }, { "q": "What is prob of picking 1 v, 1 y, 1 g, and 2 w when five letters picked without replacement from {h: 1, v: 3, y: 2, w: 7, g: 1}?", "a": "9/143" }, { "q": "Calculate prob of picking 3 w and 2 m when five letters picked without replacement from mmwwmhhmmwwdhwhvmdw.", "a": "25/969" }, { "q": "Calculate prob of picking 1 u, 1 r, 1 e, and 2 c when five letters picked without replacement from {u: 3, e: 3, r: 1, c: 2, x: 3}.", "a": "1/88" }, { "q": "Five letters picked without replacement from xxxtttxxtxxxt. Give prob of picking 4 x and 1 t.", "a": "350/1287" }, { "q": "Five letters picked without replacement from {o: 1, n: 5, f: 4, a: 2, y: 1, z: 3}. Give prob of picking 1 a, 1 y, and 3 z.", "a": "1/2184" }, { "q": "What is prob of picking 1 x, 2 n, and 2 r when five letters picked without replacement from {x: 1, j: 1, t: 1, y: 1, r: 2, n: 2}?", "a": "1/56" }, { "q": "Five letters picked without replacement from {m: 2, y: 5, i: 4}. Give prob of picking 3 y and 2 m.", "a": "5/231" }, { "q": "Five letters picked without replacement from {u: 5, w: 1, i: 4, c: 1}. Give prob of picking 4 i and 1 u.", "a": "5/462" }, { "q": "Five letters picked without replacement from rwjcsjsjwcjjjr. What is prob of picking 1 w, 3 j, and 1 r?", "a": "40/1001" }, { "q": "What is prob of picking 4 s and 1 n when five letters picked without replacement from {n: 4, s: 4}?", "a": "1/14" }, { "q": "Five letters picked without replacement from {u: 2, c: 1, b: 8, n: 2}. What is prob of picking 2 n and 3 b?", "a": "56/1287" }, { "q": "Five letters picked without replacement from {e: 1, t: 1, z: 9, w: 1, d: 3, g: 1}. What is prob of picking 1 e, 1 w, 1 t, and 2 d?", "a": "1/1456" }, { "q": "Five letters picked without replacement from {w: 1, u: 1, q: 5, s: 1, i: 7, t: 2}. Give prob of picking 1 w, 1 q, and 3 i.", "a": "25/884" }, { "q": "Five letters picked without replacement from vvqfqmmqvfvfmfamvmam. Give prob of picking 1 f, 2 v, 1 q, and 1 a.", "a": "5/323" }, { "q": "Calculate prob of picking 2 u, 1 t, 1 v, and 1 y when five letters picked without replacement from {m: 3, y: 2, t: 1, v: 4, u: 2}.", "a": "1/99" }, { "q": "Five letters picked without replacement from ytyymt. What is prob of picking 1 t, 3 y, and 1 m?", "a": "1/3" }, { "q": "Five letters picked without replacement from {k: 3, f: 7}. What is prob of picking 5 f?", "a": "1/12" }, { "q": "Calculate prob of picking 2 m and 3 h when five letters picked without replacement from {z: 1, h: 9, a: 2, m: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from {u: 5, z: 2, y: 4, f: 1}. What is prob of picking 2 u, 2 z, and 1 f?", "a": "5/396" }, { "q": "Calculate prob of picking 2 s, 2 o, and 1 b when five letters picked without replacement from ssssossbooso.", "a": "7/44" }, { "q": "Five letters picked without replacement from egggegegggggeggeg. What is prob of picking 2 e and 3 g?", "a": "550/1547" }, { "q": "What is prob of picking 3 r and 2 o when five letters picked without replacement from vroqvqovrvroo?", "a": "2/429" }, { "q": "Five letters picked without replacement from {i: 10}. What is prob of picking 5 i?", "a": "1" }, { "q": "Five letters picked without replacement from {s: 6, x: 3, d: 8}. What is prob of picking 3 x and 2 d?", "a": "1/221" }, { "q": "Calculate prob of picking 3 h, 1 k, and 1 l when five letters picked without replacement from hnlnxkhknxkxh.", "a": "1/429" }, { "q": "Five letters picked without replacement from jzuuzzuzzzjzzujzujj. Give prob of picking 2 z, 2 j, and 1 u.", "a": "50/323" }, { "q": "Five letters picked without replacement from {q: 4, p: 2, k: 3, i: 6, o: 2, r: 2}. What is prob of picking 2 k, 2 q, and 1 r?", "a": "1/323" }, { "q": "Five letters picked without replacement from rrrrror. Give prob of picking 5 r.", "a": "2/7" }, { "q": "Five letters picked without replacement from {u: 10}. What is prob of picking 5 u?", "a": "1" }, { "q": "Calculate prob of picking 1 g and 4 p when five letters picked without replacement from {u: 5, p: 6, i: 3, g: 5}.", "a": "25/3876" }, { "q": "Five letters picked without replacement from zvvvxzxqvzxxavzv. What is prob of picking 2 x and 3 v?", "a": "5/182" }, { "q": "Five letters picked without replacement from stnnizstu. Give prob of picking 1 u, 1 n, 2 s, and 1 i.", "a": "1/63" }, { "q": "What is prob of picking 3 y and 2 b when five letters picked without replacement from {b: 3, y: 7, u: 2}?", "a": "35/264" }, { "q": "Calculate prob of picking 3 w and 2 n when five letters picked without replacement from nnwnnnnnnnnnwnwnwwn.", "a": "455/5814" }, { "q": "Five letters picked without replacement from hhwhwnnnnnhnwnnnnw. Give prob of picking 3 n and 2 h.", "a": "10/119" }, { "q": "Calculate prob of picking 2 z, 1 k, 1 x, and 1 j when five letters picked without replacement from {z: 2, p: 3, k: 7, x: 1, j: 3, s: 3}.", "a": "7/3876" }, { "q": "Five letters picked without replacement from {n: 1, l: 2, e: 3, q: 3, u: 2, p: 1}. Give prob of picking 2 l, 1 u, 1 n, and 1 p.", "a": "1/396" }, { "q": "Five letters picked without replacement from {b: 6, v: 3}. What is prob of picking 1 v and 4 b?", "a": "5/14" }, { "q": "Calculate prob of picking 1 o, 1 f, and 3 s when five letters picked without replacement from {s: 5, o: 4, f: 1, g: 3}.", "a": "40/1287" }, { "q": "What is prob of picking 1 e and 4 m when five letters picked without replacement from qmemmmmqmqmmmmmmdmmm?", "a": "455/5168" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from ggooooogoogoooooggg?", "a": "7/3876" }, { "q": "What is prob of picking 1 h, 1 i, and 3 n when five letters picked without replacement from juiuujjijnijnjnhii?", "a": "5/8568" }, { "q": "What is prob of picking 4 q and 1 o when five letters picked without replacement from {q: 10, o: 9}?", "a": "105/646" }, { "q": "Five letters picked without replacement from pxfffaxeuexpfx. Give prob of picking 2 e, 2 p, and 1 u.", "a": "1/2002" }, { "q": "What is prob of picking 2 l, 2 m, and 1 y when five letters picked without replacement from {a: 3, y: 3, l: 2, m: 3, u: 1, q: 1}?", "a": "1/143" }, { "q": "Five letters picked without replacement from nnnhkhnnk. Give prob of picking 3 n, 1 h, and 1 k.", "a": "20/63" }, { "q": "What is prob of picking 1 w and 4 a when five letters picked without replacement from {k: 5, q: 3, w: 1, a: 9}?", "a": "1/68" }, { "q": "What is prob of picking 4 c and 1 y when five letters picked without replacement from {c: 9, y: 1, s: 1, n: 2}?", "a": "14/143" }, { "q": "Calculate prob of picking 2 d, 2 y, and 1 r when five letters picked without replacement from {z: 4, d: 7, y: 3, p: 3, r: 2}.", "a": "7/646" }, { "q": "Five letters picked without replacement from eqeeqeeeqqqqqeqqeqq. What is prob of picking 3 e and 2 q?", "a": "770/2907" }, { "q": "Calculate prob of picking 1 e, 1 m, and 3 g when five letters picked without replacement from {g: 10, m: 2, e: 6}.", "a": "20/119" }, { "q": "Five letters picked without replacement from qqoqqiimioimivq. What is prob of picking 2 i, 1 o, and 2 m?", "a": "20/3003" }, { "q": "What is prob of picking 4 g and 1 d when five letters picked without replacement from {d: 1, g: 5}?", "a": "5/6" }, { "q": "Five letters picked without replacement from jxxazaxaaaejax. Give prob of picking 1 a and 4 z.", "a": "0" }, { "q": "Five letters picked without replacement from kkkkkkkkxxkkxk. Give prob of picking 5 k.", "a": "3/13" }, { "q": "Calculate prob of picking 3 p, 1 j, and 1 f when five letters picked without replacement from {p: 4, m: 2, j: 2, o: 2, f: 4, u: 1}.", "a": "32/3003" }, { "q": "Calculate prob of picking 1 x, 2 n, and 2 s when five letters picked without replacement from {z: 1, s: 4, i: 4, v: 2, x: 1, n: 7}.", "a": "7/646" }, { "q": "Five letters picked without replacement from {j: 1, n: 4, i: 3, d: 5}. Give prob of picking 3 d, 1 n, and 1 i.", "a": "40/429" }, { "q": "What is prob of picking 1 g and 4 x when five letters picked without replacement from xxgxgxgxgrgxggxg?", "a": "5/78" }, { "q": "Calculate prob of picking 1 o, 1 x, 2 q, and 1 j when five letters picked without replacement from qjojhjjxjqjo.", "a": "1/66" }, { "q": "Five letters picked without replacement from tpxxpettettxe. Give prob of picking 1 p and 4 t.", "a": "10/1287" }, { "q": "Five letters picked without replacement from ckccw. Give prob of picking 1 w and 4 c.", "a": "0" }, { "q": "What is prob of picking 1 j, 1 g, 1 b, and 2 i when five letters picked without replacement from {i: 4, q: 4, j: 1, z: 1, b: 7, g: 1}?", "a": "1/204" }, { "q": "Calculate prob of picking 1 s, 3 h, and 1 g when five letters picked without replacement from {h: 4, e: 1, s: 2, g: 3}.", "a": "2/21" }, { "q": "Calculate prob of picking 2 x and 3 i when five letters picked without replacement from {x: 7, i: 11}.", "a": "55/136" }, { "q": "Five letters picked without replacement from {t: 5, r: 3, v: 3, h: 1, q: 2}. Give prob of picking 2 q and 3 v.", "a": "1/2002" }, { "q": "What is prob of picking 3 y and 2 n when five letters picked without replacement from pypnppppypypppnpnpp?", "a": "1/3876" }, { "q": "Five letters picked without replacement from zwwbbwwwzzwzwzgwz. Give prob of picking 1 g, 3 z, and 1 b.", "a": "10/1547" }, { "q": "Five letters picked without replacement from {j: 12, n: 3}. What is prob of picking 2 n and 3 j?", "a": "20/91" }, { "q": "Five letters picked without replacement from {z: 1, u: 10, s: 4}. What is prob of picking 3 s and 2 u?", "a": "60/1001" }, { "q": "Five letters picked without replacement from {l: 1, u: 7}. Give prob of picking 4 u and 1 l.", "a": "5/8" }, { "q": "Five letters picked without replacement from mmmmmmmmmmq. Give prob of picking 1 q and 4 m.", "a": "5/11" }, { "q": "Five letters picked without replacement from {c: 5, d: 2, n: 6, u: 5, v: 1}. Give prob of picking 1 v, 2 u, and 2 d.", "a": "5/5814" }, { "q": "Calculate prob of picking 1 y, 3 f, and 1 q when five letters picked without replacement from {y: 4, o: 2, q: 2, f: 5, a: 2, p: 1}.", "a": "5/273" }, { "q": "What is prob of picking 4 l and 1 x when five letters picked without replacement from lllulxllllxluulu?", "a": "5/52" }, { "q": "What is prob of picking 1 b and 4 n when five letters picked without replacement from {s: 6, n: 5, b: 4}?", "a": "20/3003" }, { "q": "Calculate prob of picking 2 c and 3 n when five letters picked without replacement from {n: 5, c: 14}.", "a": "455/5814" }, { "q": "Five letters picked without replacement from yzyyrzzzzzzyzzzyryzy. What is prob of picking 5 z?", "a": "77/2584" }, { "q": "Five letters picked without replacement from aooauudppdpod. What is prob of picking 1 a, 1 u, and 3 d?", "a": "4/1287" }, { "q": "What is prob of picking 4 d and 1 k when five letters picked without replacement from dkdkkkkkkkkkdkdk?", "a": "1/364" }, { "q": "Five letters picked without replacement from {m: 9, z: 7, k: 1}. Give prob of picking 3 m and 2 z.", "a": "63/221" }, { "q": "Five letters picked without replacement from {j: 2, d: 3, r: 1, m: 4, b: 1}. Give prob of picking 2 m, 1 d, 1 b, and 1 j.", "a": "6/77" }, { "q": "Calculate prob of picking 3 p, 1 r, and 1 q when five letters picked without replacement from {r: 2, p: 5, q: 5, l: 3}.", "a": "100/3003" }, { "q": "Five letters picked without replacement from eeihyehiyihheei. Give prob of picking 1 i, 2 y, 1 e, and 1 h.", "a": "80/3003" }, { "q": "What is prob of picking 1 s and 4 c when five letters picked without replacement from {c: 9, s: 8}?", "a": "36/221" }, { "q": "Five letters picked without replacement from {c: 8, b: 7}. Give prob of picking 4 c and 1 b.", "a": "70/429" }, { "q": "What is prob of picking 2 y and 3 c when five letters picked without replacement from {j: 4, y: 2, c: 4, f: 1}?", "a": "2/231" }, { "q": "Five letters picked without replacement from {d: 13, u: 5}. What is prob of picking 1 d and 4 u?", "a": "65/8568" }, { "q": "What is prob of picking 3 i and 2 e when five letters picked without replacement from ieielueil?", "a": "1/42" }, { "q": "Five letters picked without replacement from ddyyyyddyyyd. Give prob of picking 3 d and 2 y.", "a": "35/132" }, { "q": "Five letters picked without replacement from {f: 1, w: 2, j: 6, d: 1, p: 2}. Give prob of picking 3 j, 1 w, and 1 d.", "a": "5/99" }, { "q": "Five letters picked without replacement from {p: 9, j: 2}. What is prob of picking 4 p and 1 j?", "a": "6/11" }, { "q": "Five letters picked without replacement from ctqqtyyttvvqvvc. Give prob of picking 2 c and 3 t.", "a": "4/3003" }, { "q": "Calculate prob of picking 2 s and 3 a when five letters picked without replacement from aaaschrcasxc.", "a": "1/198" }, { "q": "Five letters picked without replacement from {n: 9, h: 8}. Give prob of picking 3 n and 2 h.", "a": "84/221" }, { "q": "Five letters picked without replacement from mvvvvvvmvvvmv. What is prob of picking 2 m and 3 v?", "a": "40/143" }, { "q": "What is prob of picking 1 b, 3 l, and 1 o when five letters picked without replacement from {j: 3, u: 4, o: 5, l: 5, b: 2, z: 1}?", "a": "25/3876" }, { "q": "Five letters picked without replacement from xfkfxtnff. What is prob of picking 3 f, 1 k, and 1 x?", "a": "4/63" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {a: 2, j: 14}.", "a": "11/24" }, { "q": "Five letters picked without replacement from {x: 4, t: 8, s: 5}. What is prob of picking 1 x, 1 t, and 3 s?", "a": "80/1547" }, { "q": "Five letters picked without replacement from {c: 9, f: 2}. Give prob of picking 1 f and 4 c.", "a": "6/11" }, { "q": "Calculate prob of picking 1 l, 2 q, and 2 e when five letters picked without replacement from kqeekqeeeleqqqek.", "a": "5/104" }, { "q": "Calculate prob of picking 2 u, 2 f, and 1 t when five letters picked without replacement from upfffpptpmtut.", "a": "1/143" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from fffffff.", "a": "1" }, { "q": "What is prob of picking 1 z and 4 u when five letters picked without replacement from {u: 14, z: 4}?", "a": "143/306" }, { "q": "Five letters picked without replacement from {a: 3, w: 9, d: 3}. Give prob of picking 1 w and 4 a.", "a": "0" }, { "q": "Five letters picked without replacement from rjjjjjjrlrer. Give prob of picking 1 l, 3 r, and 1 e.", "a": "1/198" }, { "q": "Five letters picked without replacement from {t: 1, z: 3, j: 3, y: 4}. Give prob of picking 1 t, 3 j, and 1 z.", "a": "1/154" }, { "q": "Five letters picked without replacement from {y: 4, p: 5, w: 4, k: 2, c: 3}. What is prob of picking 1 w, 2 p, and 2 y?", "a": "10/357" }, { "q": "Calculate prob of picking 3 w, 1 j, and 1 e when five letters picked without replacement from {j: 2, w: 4, d: 1, e: 1}.", "a": "1/7" }, { "q": "Five letters picked without replacement from ulrrrwrrlrerweeeeerp. Give prob of picking 2 w, 1 l, and 2 e.", "a": "5/2584" }, { "q": "Five letters picked without replacement from {i: 6, v: 6, e: 4, l: 2}. What is prob of picking 4 e and 1 v?", "a": "1/1428" }, { "q": "What is prob of picking 2 n and 3 u when five letters picked without replacement from ppupnuuunny?", "a": "2/77" }, { "q": "Five letters picked without replacement from wtisstvivwtiitvmwsiv. What is prob of picking 2 w, 1 i, and 2 v?", "a": "15/2584" }, { "q": "What is prob of picking 2 h and 3 p when five letters picked without replacement from {h: 13, p: 5}?", "a": "65/714" }, { "q": "Calculate prob of picking 1 e, 3 c, and 1 p when five letters picked without replacement from cecccececcpccccceecc.", "a": "455/3876" }, { "q": "Five letters picked without replacement from loolllllooll. What is prob of picking 4 o and 1 l?", "a": "1/99" }, { "q": "Five letters picked without replacement from lzeyeeleznnyzyzznl. Give prob of picking 2 n, 2 e, and 1 y.", "a": "3/476" }, { "q": "Five letters picked without replacement from qqsqsvyqsqsqyysa. What is prob of picking 1 q and 4 s?", "a": "5/728" }, { "q": "Five letters picked without replacement from ooxoooxoxooxxoxxox. What is prob of picking 2 x and 3 o?", "a": "20/51" }, { "q": "Calculate prob of picking 2 e and 3 j when five letters picked without replacement from jjjjjejejjj.", "a": "2/11" }, { "q": "What is prob of picking 4 z and 1 k when five letters picked without replacement from zzzzzzzzzzzkzzzzzzzz?", "a": "1/4" }, { "q": "Five letters picked without replacement from {e: 5, o: 5}. Give prob of picking 1 o and 4 e.", "a": "25/252" }, { "q": "Five letters picked without replacement from zfmfymzkyfmyyzyzzzkf. What is prob of picking 2 z, 1 y, and 2 f?", "a": "75/2584" }, { "q": "What is prob of picking 1 v, 1 g, and 3 a when five letters picked without replacement from {f: 2, g: 1, v: 1, a: 5}?", "a": "5/63" }, { "q": "What is prob of picking 1 g, 1 b, 1 l, 1 y, and 1 n when five letters picked without replacement from {y: 1, b: 1, n: 7, l: 3, u: 6, g: 1}?", "a": "7/3876" }, { "q": "Calculate prob of picking 3 g and 2 i when five letters picked without replacement from gigiiggigggiigiigg.", "a": "20/51" }, { "q": "Calculate prob of picking 3 o, 1 b, and 1 k when five letters picked without replacement from dboohhobrboorkbo.", "a": "5/273" }, { "q": "What is prob of picking 1 u, 3 r, and 1 p when five letters picked without replacement from {u: 5, p: 3, r: 4, o: 1, z: 1, b: 4}?", "a": "5/714" }, { "q": "Five letters picked without replacement from zssmmmwswjmmmmwj. What is prob of picking 2 s and 3 m?", "a": "5/208" }, { "q": "Five letters picked without replacement from {z: 4, p: 2, e: 2, l: 1, o: 1, g: 3}. What is prob of picking 1 g, 1 l, 1 z, and 2 p?", "a": "4/429" }, { "q": "Five letters picked without replacement from iivvvvvviaviaiwvivva. What is prob of picking 2 v and 3 w?", "a": "0" }, { "q": "Five letters picked without replacement from nunhuhvruhvuhvvvr. Give prob of picking 1 n, 1 u, 1 v, 1 r, and 1 h.", "a": "80/1547" }, { "q": "Five letters picked without replacement from {o: 2, q: 1, v: 1, u: 10, w: 2}. What is prob of picking 1 q, 1 v, 1 o, and 2 w?", "a": "1/2184" }, { "q": "Calculate prob of picking 1 m and 4 z when five letters picked without replacement from lllmzzzmmlmlolz.", "a": "4/3003" }, { "q": "Calculate prob of picking 1 h, 1 k, and 3 e when five letters picked without replacement from eekfehhehahkwkeke.", "a": "80/1547" }, { "q": "Five letters picked without replacement from {m: 7, w: 12}. Give prob of picking 4 m and 1 w.", "a": "35/969" }, { "q": "What is prob of picking 2 i, 2 q, and 1 u when five letters picked without replacement from iuqqqiqqxjbqj?", "a": "5/429" }, { "q": "Calculate prob of picking 1 c, 1 u, 1 i, 1 e, and 1 j when five letters picked without replacement from eejuceeiijciiecece.", "a": "4/153" }, { "q": "What is prob of picking 4 b and 1 y when five letters picked without replacement from bbbbbybbybbbbb?", "a": "45/91" }, { "q": "What is prob of picking 3 u and 2 n when five letters picked without replacement from nnunuuuunnnuuunuuu?", "a": "55/136" }, { "q": "Five letters picked without replacement from {h: 4, d: 2, v: 2}. Give prob of picking 1 v and 4 h.", "a": "1/28" }, { "q": "Calculate prob of picking 1 k, 1 q, and 3 e when five letters picked without replacement from kdkqeekkkkqqqddkekq.", "a": "10/2907" }, { "q": "What is prob of picking 2 w and 3 k when five letters picked without replacement from {w: 5, k: 3}?", "a": "5/28" }, { "q": "What is prob of picking 5 p when five letters picked without replacement from {p: 15, i: 3}?", "a": "143/408" }, { "q": "Calculate prob of picking 1 y, 1 p, 2 s, and 1 z when five letters picked without replacement from sbsazszzsbbbyazp.", "a": "1/182" }, { "q": "Five letters picked without replacement from {t: 4, o: 12}. Give prob of picking 3 t and 2 o.", "a": "11/182" }, { "q": "Five letters picked without replacement from {h: 5, k: 2, i: 5}. What is prob of picking 1 h and 4 i?", "a": "25/792" }, { "q": "Five letters picked without replacement from iiiiiigiiiiiigiiii. What is prob of picking 5 i?", "a": "26/51" }, { "q": "Calculate prob of picking 3 e and 2 u when five letters picked without replacement from eebbbeubebuu.", "a": "1/66" }, { "q": "What is prob of picking 2 u and 3 w when five letters picked without replacement from quuunuwnunnwwwqquwq?", "a": "25/1938" }, { "q": "Calculate prob of picking 2 s and 3 n when five letters picked without replacement from {n: 4, j: 1, f: 3, s: 2}.", "a": "1/63" }, { "q": "Five letters picked without replacement from ggddsvddvsvg. Give prob of picking 1 s, 2 g, 1 d, and 1 v.", "a": "1/11" }, { "q": "Five letters picked without replacement from xggxxgggbggbgxggg. What is prob of picking 5 g?", "a": "33/442" }, { "q": "Calculate prob of picking 3 x and 2 w when five letters picked without replacement from xwwwxxxwwwwwxxw.", "a": "240/1001" }, { "q": "Five letters picked without replacement from {l: 10, s: 1}. Give prob of picking 1 s and 4 l.", "a": "5/11" }, { "q": "Calculate prob of picking 2 v, 2 q, and 1 e when five letters picked without replacement from qqvvvvvqqqevq.", "a": "25/143" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from kkkkk?", "a": "1" }, { "q": "Five letters picked without replacement from {g: 6, c: 2, e: 2, q: 10}. Give prob of picking 2 q, 1 c, and 2 e.", "a": "15/2584" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from uuuiuuuuiuuuuuu?", "a": "3/7" }, { "q": "Calculate prob of picking 2 j, 2 k, and 1 d when five letters picked without replacement from jkkkkjkddkkjkkdd.", "a": "9/91" }, { "q": "Calculate prob of picking 1 z, 1 d, 2 m, and 1 h when five letters picked without replacement from {z: 2, h: 2, d: 2, m: 4}.", "a": "4/21" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from sssswswwwwwwwwwwwww.", "a": "1001/5814" }, { "q": "Calculate prob of picking 1 s, 2 c, and 2 x when five letters picked without replacement from xsxhmhscmc.", "a": "1/126" }, { "q": "What is prob of picking 1 u and 4 c when five letters picked without replacement from {c: 6, b: 1, t: 7, u: 3}?", "a": "45/6188" }, { "q": "What is prob of picking 1 a, 3 g, and 1 c when five letters picked without replacement from {a: 2, c: 3, f: 1, g: 3}?", "a": "1/21" }, { "q": "What is prob of picking 2 v and 3 k when five letters picked without replacement from {c: 3, v: 2, k: 4}?", "a": "2/63" }, { "q": "Five letters picked without replacement from hhkhrrhjhkrrhjhhj. Give prob of picking 5 h.", "a": "2/221" }, { "q": "Five letters picked without replacement from {l: 7, g: 8}. What is prob of picking 3 l and 2 g?", "a": "140/429" }, { "q": "What is prob of picking 3 h, 1 f, and 1 n when five letters picked without replacement from {h: 4, m: 4, f: 7, n: 1}?", "a": "1/156" }, { "q": "Calculate prob of picking 2 g and 3 z when five letters picked without replacement from zqggqggqrgggqq.", "a": "0" }, { "q": "What is prob of picking 1 l, 1 f, 2 p, and 1 t when five letters picked without replacement from {l: 4, f: 2, t: 2, j: 8, p: 3}?", "a": "4/969" }, { "q": "Five letters picked without replacement from yyyyyyyyyyyyyoyoooo. Give prob of picking 5 o.", "a": "1/11628" }, { "q": "Five letters picked without replacement from vvuummuuuvvm. Give prob of picking 2 u, 2 v, and 1 m.", "a": "5/22" }, { "q": "What is prob of picking 1 u, 2 f, and 2 s when five letters picked without replacement from ufsfqfffuwfufwsqfwu?", "a": "28/2907" }, { "q": "Five letters picked without replacement from {j: 2, r: 3, f: 2, k: 1, u: 4}. What is prob of picking 3 r and 2 j?", "a": "1/792" }, { "q": "Calculate prob of picking 1 a, 2 r, and 2 y when five letters picked without replacement from {a: 6, y: 2, k: 1, r: 11}.", "a": "55/2584" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from {a: 1, s: 5, v: 12}.", "a": "11/119" }, { "q": "Five letters picked without replacement from {r: 1, p: 1, z: 1, n: 4, l: 1, o: 5}. Give prob of picking 1 r, 3 o, and 1 l.", "a": "10/1287" }, { "q": "What is prob of picking 2 t, 1 m, 1 z, and 1 y when five letters picked without replacement from {m: 3, y: 1, r: 4, o: 2, t: 4, z: 1}?", "a": "6/1001" }, { "q": "Five letters picked without replacement from {o: 3, m: 4}. What is prob of picking 3 m and 2 o?", "a": "4/7" }, { "q": "Calculate prob of picking 1 s, 2 k, and 2 t when five letters picked without replacement from ktsktzttskzzk.", "a": "8/143" }, { "q": "Five letters picked without replacement from kkkgrunkkarkggrnk. What is prob of picking 1 r, 1 a, 1 k, and 2 g?", "a": "9/884" }, { "q": "Five letters picked without replacement from bxhxxhbhh. Give prob of picking 4 h and 1 x.", "a": "1/42" }, { "q": "Five letters picked without replacement from ptptmmtttpppmmtttp. Give prob of picking 2 m and 3 p.", "a": "5/357" }, { "q": "Calculate prob of picking 2 j, 1 k, and 2 h when five letters picked without replacement from {k: 6, j: 4, h: 8}.", "a": "2/17" }, { "q": "What is prob of picking 4 w and 1 x when five letters picked without replacement from {x: 3, w: 9}?", "a": "21/44" }, { "q": "Five letters picked without replacement from {l: 14, i: 3, n: 1, x: 2}. What is prob of picking 1 n, 3 l, and 1 i?", "a": "91/1292" }, { "q": "Five letters picked without replacement from yyoiyoonoiyyoyozyzyy. What is prob of picking 2 y, 1 n, and 2 o?", "a": "45/1292" }, { "q": "What is prob of picking 1 z and 4 u when five letters picked without replacement from {z: 2, u: 9}?", "a": "6/11" }, { "q": "What is prob of picking 1 i and 4 y when five letters picked without replacement from {o: 3, i: 4, y: 5}?", "a": "5/198" }, { "q": "Calculate prob of picking 2 s and 3 c when five letters picked without replacement from cccsscscss.", "a": "25/63" }, { "q": "Calculate prob of picking 2 z and 3 y when five letters picked without replacement from {y: 4, z: 6}.", "a": "5/21" }, { "q": "Five letters picked without replacement from qycgrdg. Give prob of picking 1 d, 1 q, 1 y, and 2 g.", "a": "1/21" }, { "q": "What is prob of picking 2 w, 2 k, and 1 t when five letters picked without replacement from ktcjjcwkcmcjw?", "a": "1/1287" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from {v: 1, x: 4, z: 7}?", "a": "7/264" }, { "q": "Five letters picked without replacement from {d: 6, j: 1, k: 2}. Give prob of picking 1 j, 2 d, and 2 k.", "a": "5/42" }, { "q": "Calculate prob of picking 3 q and 2 u when five letters picked without replacement from uuuuuuqququuq.", "a": "16/143" }, { "q": "Five letters picked without replacement from bbbvvblllbvblbllll. What is prob of picking 4 l and 1 b?", "a": "35/612" }, { "q": "Five letters picked without replacement from ssokokkookkkokk. What is prob of picking 1 o and 4 k?", "a": "50/429" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {d: 2, o: 11}?", "a": "14/39" }, { "q": "Calculate prob of picking 1 u, 1 i, and 3 k when five letters picked without replacement from znimnkkmummzkkmi.", "a": "1/546" }, { "q": "Five letters picked without replacement from {h: 3, p: 8}. Give prob of picking 5 p.", "a": "4/33" }, { "q": "Calculate prob of picking 1 j, 1 d, 1 k, 1 o, and 1 t when five letters picked without replacement from {g: 5, j: 1, o: 2, t: 2, d: 1, k: 4}.", "a": "16/3003" }, { "q": "Calculate prob of picking 2 u, 1 d, and 2 g when five letters picked without replacement from nnudnunugnnunuugn.", "a": "15/6188" }, { "q": "Calculate prob of picking 2 p and 3 v when five letters picked without replacement from pvvpvpvpppppvp.", "a": "180/1001" }, { "q": "Calculate prob of picking 1 r, 2 h, 1 f, and 1 e when five letters picked without replacement from frufhffhuhuhefhffhr.", "a": "35/1938" }, { "q": "Five letters picked without replacement from crocooocboccorocceo. What is prob of picking 2 c, 1 e, and 2 r?", "a": "7/3876" }, { "q": "Calculate prob of picking 2 z, 2 v, and 1 c when five letters picked without replacement from {z: 13, v: 4, c: 1}.", "a": "13/238" }, { "q": "Five letters picked without replacement from aoaoaa. Give prob of picking 4 a and 1 o.", "a": "1/3" }, { "q": "Five letters picked without replacement from {n: 4, t: 11}. What is prob of picking 3 n and 2 t?", "a": "20/273" }, { "q": "Five letters picked without replacement from {k: 10, d: 2}. What is prob of picking 1 d and 4 k?", "a": "35/66" }, { "q": "Five letters picked without replacement from {y: 7, d: 2}. What is prob of picking 3 y and 2 d?", "a": "5/18" }, { "q": "Five letters picked without replacement from {l: 1, h: 1, j: 2, m: 1, d: 2}. What is prob of picking 1 d, 1 j, 1 l, 1 m, and 1 h?", "a": "4/21" }, { "q": "What is prob of picking 3 q and 2 b when five letters picked without replacement from {q: 5, v: 1, b: 5, t: 1, p: 3, a: 5}?", "a": "25/3876" }, { "q": "Five letters picked without replacement from {n: 6, v: 5}. Give prob of picking 4 v and 1 n.", "a": "5/77" }, { "q": "Five letters picked without replacement from uouuuuuuuu. What is prob of picking 5 u?", "a": "1/2" }, { "q": "Five letters picked without replacement from {i: 13, h: 3}. Give prob of picking 5 i.", "a": "33/112" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from {a: 6, j: 10}.", "a": "1/728" }, { "q": "Five letters picked without replacement from {d: 15, k: 2}. Give prob of picking 2 k and 3 d.", "a": "5/68" }, { "q": "Five letters picked without replacement from {j: 2, x: 3, s: 1, y: 6}. What is prob of picking 2 x, 2 y, and 1 j?", "a": "5/44" }, { "q": "Five letters picked without replacement from {k: 7}. Give prob of picking 5 k.", "a": "1" }, { "q": "Five letters picked without replacement from ffofosffftttis. Give prob of picking 1 o, 1 s, and 3 f.", "a": "40/1001" }, { "q": "Five letters picked without replacement from {x: 4, e: 6, q: 3}. What is prob of picking 2 e and 3 x?", "a": "20/429" }, { "q": "What is prob of picking 3 p and 2 m when five letters picked without replacement from pccpovmvmvpvmooppmo?", "a": "5/969" }, { "q": "Five letters picked without replacement from {z: 2, b: 1, n: 4}. What is prob of picking 2 z, 1 b, and 2 n?", "a": "2/7" }, { "q": "What is prob of picking 2 u, 1 l, and 2 j when five letters picked without replacement from {u: 4, j: 2, l: 7, p: 3, x: 1, r: 3}?", "a": "7/2584" }, { "q": "Five letters picked without replacement from cuczwqqqzcwczczcb. Give prob of picking 1 q and 4 z.", "a": "3/6188" }, { "q": "Calculate prob of picking 3 h, 1 a, and 1 n when five letters picked without replacement from hannhhahnhhhyh.", "a": "24/143" }, { "q": "What is prob of picking 2 i, 1 d, and 2 x when five letters picked without replacement from {o: 2, i: 3, d: 6, p: 1, x: 3}?", "a": "18/1001" }, { "q": "Five letters picked without replacement from {d: 9, o: 1, l: 4}. What is prob of picking 1 o and 4 l?", "a": "1/2002" }, { "q": "What is prob of picking 4 g and 1 c when five letters picked without replacement from {c: 6, g: 8}?", "a": "30/143" }, { "q": "Five letters picked without replacement from ddlllllllllduludluld. Give prob of picking 4 l and 1 u.", "a": "495/5168" }, { "q": "What is prob of picking 1 v, 2 l, and 2 h when five letters picked without replacement from {o: 1, v: 1, h: 3, l: 3, a: 7}?", "a": "3/1001" }, { "q": "What is prob of picking 4 z and 1 f when five letters picked without replacement from mmzmzmzfmzvm?", "a": "1/792" }, { "q": "What is prob of picking 1 m, 3 s, and 1 v when five letters picked without replacement from {v: 9, s: 10, m: 1}?", "a": "45/646" }, { "q": "What is prob of picking 2 p and 3 j when five letters picked without replacement from {p: 7, j: 4}?", "a": "2/11" }, { "q": "What is prob of picking 3 n, 1 i, and 1 b when five letters picked without replacement from enniiiieeenbiiiee?", "a": "1/884" }, { "q": "Five letters picked without replacement from wwmmwwwmmwm. What is prob of picking 5 w?", "a": "1/77" }, { "q": "Five letters picked without replacement from ndjjntjnntnjdjttjtjm. What is prob of picking 3 j and 2 d?", "a": "35/15504" }, { "q": "Calculate prob of picking 2 l and 3 t when five letters picked without replacement from {t: 4, l: 4}.", "a": "3/7" }, { "q": "What is prob of picking 1 p and 4 z when five letters picked without replacement from pzzppzzpzzzzzzpzzzp?", "a": "715/1938" }, { "q": "Five letters picked without replacement from {m: 6, u: 5, s: 6, d: 2, h: 1}. Give prob of picking 4 u and 1 m.", "a": "5/2584" }, { "q": "Five letters picked without replacement from {y: 5, s: 5, j: 1, h: 1, d: 1}. Give prob of picking 1 s, 3 y, and 1 d.", "a": "50/1287" }, { "q": "Five letters picked without replacement from ciciciiicciccci. What is prob of picking 5 i?", "a": "1/143" }, { "q": "Five letters picked without replacement from ooojjlekeeookok. Give prob of picking 2 k and 3 e.", "a": "1/1001" }, { "q": "Five letters picked without replacement from {c: 5, l: 1, p: 5}. What is prob of picking 3 p and 2 c?", "a": "50/231" }, { "q": "Five letters picked without replacement from bbpbbpppbbpb. Give prob of picking 5 p.", "a": "1/792" }, { "q": "Calculate prob of picking 3 d and 2 u when five letters picked without replacement from uduudududdud.", "a": "25/66" }, { "q": "What is prob of picking 2 i and 3 p when five letters picked without replacement from iihihpihhphpipb?", "a": "40/3003" }, { "q": "Five letters picked without replacement from {f: 3, b: 1, j: 1, g: 3}. Give prob of picking 1 b, 2 f, 1 g, and 1 j.", "a": "9/56" }, { "q": "Calculate prob of picking 3 n and 2 o when five letters picked without replacement from omvnnnvvvo.", "a": "1/252" }, { "q": "Five letters picked without replacement from {e: 12, i: 5}. Give prob of picking 3 i and 2 e.", "a": "165/1547" }, { "q": "Calculate prob of picking 1 q, 2 o, and 2 g when five letters picked without replacement from eoogogqgqggq.", "a": "5/44" }, { "q": "What is prob of picking 1 i, 1 t, 2 g, and 1 e when five letters picked without replacement from {t: 1, i: 5, e: 2, g: 7}?", "a": "10/143" }, { "q": "Five letters picked without replacement from {c: 5, m: 3, x: 2}. What is prob of picking 2 x and 3 c?", "a": "5/126" }, { "q": "What is prob of picking 1 v, 3 m, and 1 p when five letters picked without replacement from {z: 1, x: 6, p: 2, m: 7, v: 2, k: 1}?", "a": "35/2907" }, { "q": "Five letters picked without replacement from wbwbwbwbb. What is prob of picking 4 w and 1 b?", "a": "5/126" }, { "q": "Five letters picked without replacement from llwaxllxlxaxaxxwnxxx. What is prob of picking 1 l, 2 a, and 2 x?", "a": "45/1292" }, { "q": "Calculate prob of picking 3 m, 1 a, and 1 b when five letters picked without replacement from {m: 3, f: 3, a: 7, b: 2}.", "a": "2/429" }, { "q": "What is prob of picking 1 b, 2 j, and 2 g when five letters picked without replacement from jjjbjjjjgg?", "a": "1/12" }, { "q": "Calculate prob of picking 1 g, 1 j, and 3 w when five letters picked without replacement from {j: 2, w: 4, g: 1}.", "a": "8/21" }, { "q": "Five letters picked without replacement from knnnknnknkkc. What is prob of picking 2 k and 3 n?", "a": "25/99" }, { "q": "Five letters picked without replacement from gllgllglglgglg. Give prob of picking 2 g and 3 l.", "a": "105/286" }, { "q": "Five letters picked without replacement from vxgjxvxj. What is prob of picking 1 g, 1 j, and 3 x?", "a": "1/28" }, { "q": "What is prob of picking 5 p when five letters picked without replacement from {p: 6, o: 5}?", "a": "1/77" }, { "q": "Five letters picked without replacement from {c: 8, b: 4}. Give prob of picking 5 c.", "a": "7/99" }, { "q": "Five letters picked without replacement from {p: 6, s: 1, y: 3, c: 5, q: 4}. Give prob of picking 1 y, 1 s, and 3 p.", "a": "5/969" }, { "q": "Calculate prob of picking 4 r and 1 l when five letters picked without replacement from uurynuuuuul.", "a": "0" }, { "q": "Calculate prob of picking 1 s and 4 j when five letters picked without replacement from wwjjsjjwesewwwej.", "a": "5/2184" }, { "q": "Calculate prob of picking 4 q and 1 n when five letters picked without replacement from {s: 5, n: 1, k: 1, q: 5, b: 5, m: 1}.", "a": "5/8568" }, { "q": "Five letters picked without replacement from rrdkkrttrkrkrtkdd. Give prob of picking 2 d and 3 r.", "a": "15/1547" }, { "q": "Five letters picked without replacement from kkgggkhkggkggikkghg. What is prob of picking 1 h, 3 k, and 1 i?", "a": "35/5814" }, { "q": "Five letters picked without replacement from {k: 4, d: 1, o: 5, m: 2, n: 1}. Give prob of picking 1 k, 3 o, and 1 m.", "a": "80/1287" }, { "q": "Five letters picked without replacement from rfrfgraarfgafggaf. Give prob of picking 1 r, 2 f, and 2 g.", "a": "60/1547" }, { "q": "Five letters picked without replacement from {r: 10, l: 4, m: 2}. Give prob of picking 1 m and 4 l.", "a": "1/2184" }, { "q": "Five letters picked without replacement from {z: 4, x: 4, s: 4}. What is prob of picking 2 s and 3 x?", "a": "1/33" }, { "q": "Five letters picked without replacement from zzozozzzozoozo. Give prob of picking 3 z and 2 o.", "a": "60/143" }, { "q": "Five letters picked without replacement from {a: 4, p: 5, k: 6}. What is prob of picking 1 p and 4 k?", "a": "25/1001" }, { "q": "Five letters picked without replacement from {i: 2, l: 1, d: 1, h: 1, v: 1, x: 1}. What is prob of picking 1 i, 2 l, 1 x, and 1 v?", "a": "0" }, { "q": "Calculate prob of picking 3 f and 2 s when five letters picked without replacement from {t: 1, s: 1, f: 1, g: 1, x: 8}.", "a": "0" }, { "q": "Five letters picked without replacement from npnapwnnwnnpwppn. What is prob of picking 3 w and 2 n?", "a": "1/208" }, { "q": "Five letters picked without replacement from cuzczvzzgczb. What is prob of picking 1 u, 2 z, 1 g, and 1 b?", "a": "5/396" }, { "q": "Five letters picked without replacement from {g: 8, u: 3, y: 6}. What is prob of picking 4 g and 1 y?", "a": "15/221" }, { "q": "Five letters picked without replacement from dxxdaxaxxxhadaaxx. What is prob of picking 1 d, 3 a, and 1 x?", "a": "60/1547" }, { "q": "Calculate prob of picking 1 w, 2 n, and 2 j when five letters picked without replacement from wtwnjjwwjjnun.", "a": "8/143" }, { "q": "What is prob of picking 2 d, 2 m, and 1 h when five letters picked without replacement from {d: 4, h: 2, m: 10}?", "a": "45/364" }, { "q": "What is prob of picking 1 o and 4 i when five letters picked without replacement from iioiiiiiioiiiiiiiii?", "a": "70/171" }, { "q": "What is prob of picking 3 z and 2 v when five letters picked without replacement from {v: 3, y: 1, z: 3, i: 2, g: 1}?", "a": "1/84" }, { "q": "Calculate prob of picking 2 h and 3 d when five letters picked without replacement from ddhdddhhddhdkd.", "a": "36/143" }, { "q": "Five letters picked without replacement from yyyyjhjbyyyjyyyhyjyh. Give prob of picking 3 y, 1 h, and 1 j.", "a": "55/323" }, { "q": "Five letters picked without replacement from hhhnnnhhnnhnnhhnh. Give prob of picking 2 n and 3 h.", "a": "84/221" }, { "q": "What is prob of picking 2 v and 3 e when five letters picked without replacement from evevvevvvvvvvvvv?", "a": "1/56" }, { "q": "What is prob of picking 3 k, 1 g, and 1 y when five letters picked without replacement from {g: 4, k: 5, b: 3, y: 2, w: 2}?", "a": "5/273" }, { "q": "Five letters picked without replacement from obooonvoobbbobbbnt. What is prob of picking 1 v, 2 n, and 2 o?", "a": "1/408" }, { "q": "Calculate prob of picking 2 d, 2 e, and 1 u when five letters picked without replacement from {i: 1, u: 1, e: 2, k: 2, d: 5}.", "a": "5/231" }, { "q": "Calculate prob of picking 3 g and 2 h when five letters picked without replacement from cccgchcggchcccg.", "a": "4/3003" }, { "q": "Five letters picked without replacement from {a: 9, k: 7, x: 3}. What is prob of picking 1 k, 1 x, and 3 a?", "a": "49/323" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gqgqgggggqggqgg?", "a": "2/13" }, { "q": "Calculate prob of picking 3 z and 2 i when five letters picked without replacement from {z: 4, i: 2}.", "a": "2/3" }, { "q": "Calculate prob of picking 1 c, 3 v, and 1 l when five letters picked without replacement from {c: 11, l: 1, v: 4}.", "a": "11/1092" }, { "q": "What is prob of picking 1 t, 1 h, 2 w, and 1 v when five letters picked without replacement from {x: 1, h: 5, t: 4, v: 1, w: 3, l: 1}?", "a": "20/1001" }, { "q": "Calculate prob of picking 1 u, 2 x, and 2 m when five letters picked without replacement from {u: 8, x: 8, m: 2}.", "a": "4/153" }, { "q": "Calculate prob of picking 1 r, 1 d, and 3 e when five letters picked without replacement from jejjjdejdjeejjederje.", "a": "35/5168" }, { "q": "Five letters picked without replacement from {u: 4, g: 5, j: 4}. What is prob of picking 1 g and 4 j?", "a": "5/1287" }, { "q": "Five letters picked without replacement from iennnyiinnn. Give prob of picking 1 i, 3 n, and 1 y.", "a": "10/77" }, { "q": "What is prob of picking 3 x, 1 q, and 1 r when five letters picked without replacement from {r: 8, x: 4, q: 4}?", "a": "8/273" }, { "q": "Five letters picked without replacement from cwcwwkwcwkwcckcw. What is prob of picking 4 c and 1 k?", "a": "15/1456" }, { "q": "Calculate prob of picking 1 y, 1 d, 1 r, and 2 g when five letters picked without replacement from yrdddddgdrydfg.", "a": "2/143" }, { "q": "Calculate prob of picking 1 e, 3 j, and 1 v when five letters picked without replacement from {v: 2, t: 1, e: 1, j: 5, a: 2, q: 1}.", "a": "5/198" }, { "q": "Five letters picked without replacement from upuuepgezqpu. Give prob of picking 2 u, 1 p, 1 e, and 1 q.", "a": "1/22" }, { "q": "What is prob of picking 2 m, 1 a, and 2 w when five letters picked without replacement from {o: 1, u: 2, m: 1, a: 1, t: 6, w: 2}?", "a": "0" }, { "q": "Five letters picked without replacement from gmaggwwwmmmgamyymy. Give prob of picking 2 w, 2 g, and 1 a.", "a": "1/238" }, { "q": "Five letters picked without replacement from mmmhmmnhhahhnhmh. What is prob of picking 3 h and 2 n?", "a": "5/624" }, { "q": "Five letters picked without replacement from jbfjihjfbhjjfbjhfjb. What is prob of picking 1 j, 1 i, 1 b, 1 f, and 1 h?", "a": "28/969" }, { "q": "What is prob of picking 1 p and 4 h when five letters picked without replacement from {h: 13, p: 1}?", "a": "5/14" }, { "q": "Five letters picked without replacement from yzzkaqzykzqlyqzq. Give prob of picking 1 q, 1 k, 1 a, and 2 y.", "a": "1/182" }, { "q": "Five letters picked without replacement from zvvzvvvvzzvzvzvvvzvv. What is prob of picking 1 v and 4 z?", "a": "455/15504" }, { "q": "Calculate prob of picking 2 a and 3 b when five letters picked without replacement from {h: 8, a: 2, b: 6}.", "a": "5/1092" }, { "q": "What is prob of picking 1 v, 2 k, and 2 w when five letters picked without replacement from {k: 9, w: 2, v: 3}?", "a": "54/1001" }, { "q": "Five letters picked without replacement from {o: 5, t: 13}. Give prob of picking 1 t and 4 o.", "a": "65/8568" }, { "q": "What is prob of picking 2 l, 1 h, 1 r, and 1 t when five letters picked without replacement from {r: 2, t: 3, h: 4, l: 4}?", "a": "16/143" }, { "q": "What is prob of picking 1 u and 4 d when five letters picked without replacement from {d: 4, u: 14}?", "a": "1/612" }, { "q": "Calculate prob of picking 2 a and 3 c when five letters picked without replacement from aaxckxaaxx.", "a": "0" }, { "q": "Five letters picked without replacement from gtntagantt. Give prob of picking 3 t and 2 n.", "a": "1/63" }, { "q": "Calculate prob of picking 1 c, 1 s, 1 o, and 2 t when five letters picked without replacement from {o: 6, c: 2, t: 2, k: 2, s: 3}.", "a": "12/1001" }, { "q": "What is prob of picking 1 j, 2 u, and 2 h when five letters picked without replacement from uuuuujuuhuhuhuhh?", "a": "75/728" }, { "q": "What is prob of picking 2 v, 2 l, and 1 x when five letters picked without replacement from {x: 1, v: 7, l: 2, s: 5}?", "a": "1/143" }, { "q": "Five letters picked without replacement from vqajvaha. What is prob of picking 3 a, 1 q, and 1 j?", "a": "1/56" }, { "q": "Five letters picked without replacement from sxuuueuusszuuuuueesg. Give prob of picking 2 u and 3 s.", "a": "15/1292" }, { "q": "What is prob of picking 2 m, 2 j, and 1 i when five letters picked without replacement from {m: 5, a: 2, j: 2, i: 2}?", "a": "10/231" }, { "q": "Calculate prob of picking 2 s, 1 b, 1 f, and 1 g when five letters picked without replacement from sbftstbtsgb.", "a": "3/154" }, { "q": "What is prob of picking 3 i and 2 r when five letters picked without replacement from {p: 2, r: 3, i: 4}?", "a": "2/21" }, { "q": "Calculate prob of picking 1 u, 1 n, and 3 z when five letters picked without replacement from zznnnznuuvnnnnnnnun.", "a": "1/323" }, { "q": "Five letters picked without replacement from {q: 1, e: 3, i: 1, z: 2}. What is prob of picking 1 q and 4 e?", "a": "0" }, { "q": "Five letters picked without replacement from {n: 2, k: 1, p: 4, w: 2, s: 7}. What is prob of picking 1 s, 2 p, 1 k, and 1 n?", "a": "1/52" }, { "q": "Five letters picked without replacement from {r: 3, u: 3}. What is prob of picking 2 r and 3 u?", "a": "1/2" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from vvvvtvvvvv?", "a": "0" }, { "q": "Five letters picked without replacement from mmyytyy. What is prob of picking 1 t and 4 y?", "a": "1/21" }, { "q": "Calculate prob of picking 1 k, 3 n, and 1 y when five letters picked without replacement from nknnkkufky.", "a": "1/63" }, { "q": "Five letters picked without replacement from {u: 1, m: 3, h: 6, c: 1, x: 4}. What is prob of picking 2 h, 1 u, 1 m, and 1 x?", "a": "60/1001" }, { "q": "What is prob of picking 2 v, 1 m, 1 p, and 1 g when five letters picked without replacement from vgvmpgmffvfvfpv?", "a": "80/3003" }, { "q": "Five letters picked without replacement from {z: 1, a: 8, f: 3, q: 2}. Give prob of picking 3 a, 1 z, and 1 q.", "a": "8/143" }, { "q": "Calculate prob of picking 2 e and 3 i when five letters picked without replacement from eeiiieeii.", "a": "10/21" }, { "q": "Five letters picked without replacement from vveeeevev. What is prob of picking 3 v and 2 e?", "a": "20/63" }, { "q": "Five letters picked without replacement from {u: 2, s: 3, o: 10, c: 3}. Give prob of picking 5 o.", "a": "1/34" }, { "q": "Five letters picked without replacement from dddddddddydd. What is prob of picking 1 y and 4 d?", "a": "5/12" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {e: 6, w: 1}?", "a": "2/7" }, { "q": "What is prob of picking 1 q, 1 p, and 3 g when five letters picked without replacement from gpggqgq?", "a": "8/21" }, { "q": "What is prob of picking 1 y, 2 i, and 2 v when five letters picked without replacement from {f: 3, v: 2, j: 4, y: 3, i: 3}?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {d: 10, w: 9}. Give prob of picking 4 w and 1 d.", "a": "35/323" }, { "q": "Calculate prob of picking 1 o, 1 u, and 3 f when five letters picked without replacement from fufoxomfutufotffff.", "a": "1/17" }, { "q": "Five letters picked without replacement from wtwwtwtttwttwtttw. What is prob of picking 2 t and 3 w?", "a": "225/884" }, { "q": "Calculate prob of picking 1 d, 3 y, and 1 h when five letters picked without replacement from idyiydyyydymddhoyyyy.", "a": "25/646" }, { "q": "Calculate prob of picking 1 r and 4 f when five letters picked without replacement from rffffffffffrfrf.", "a": "45/91" }, { "q": "Calculate prob of picking 2 p and 3 e when five letters picked without replacement from seeeppppppptptptspsp.", "a": "55/15504" }, { "q": "What is prob of picking 1 z and 4 t when five letters picked without replacement from zzotttttozttottzz?", "a": "45/442" }, { "q": "What is prob of picking 3 f and 2 k when five letters picked without replacement from fkfkkkkkfffkkfkfffk?", "a": "105/323" }, { "q": "What is prob of picking 4 b and 1 z when five letters picked without replacement from {n: 1, z: 4, g: 3, b: 11}?", "a": "110/969" }, { "q": "Five letters picked without replacement from mmjrzomrzjrmro. Give prob of picking 1 j, 2 m, and 2 z.", "a": "6/1001" }, { "q": "Calculate prob of picking 3 v and 2 u when five letters picked without replacement from vvvvuujvvhujl.", "a": "20/429" }, { "q": "Calculate prob of picking 4 a and 1 z when five letters picked without replacement from aazzaaazzzzzza.", "a": "60/1001" }, { "q": "Calculate prob of picking 1 b and 4 y when five letters picked without replacement from bycyiibybby.", "a": "2/231" }, { "q": "Five letters picked without replacement from lwwwcclslcwuwwdsssw. Give prob of picking 3 s, 1 d, and 1 u.", "a": "1/2907" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from wiiwxwiwwwwxr?", "a": "7/429" }, { "q": "Five letters picked without replacement from cmeebkkkcmehcck. Give prob of picking 1 m, 2 e, 1 c, and 1 b.", "a": "8/1001" }, { "q": "Five letters picked without replacement from ftbcwtbftfwbwhbhcft. Give prob of picking 1 c, 1 w, 2 h, and 1 f.", "a": "2/969" }, { "q": "Five letters picked without replacement from {i: 6, v: 1, o: 13}. What is prob of picking 1 v and 4 i?", "a": "5/5168" }, { "q": "Five letters picked without replacement from {g: 8, z: 7, f: 1}. Give prob of picking 3 g, 1 z, and 1 f.", "a": "7/78" }, { "q": "What is prob of picking 4 k and 1 p when five letters picked without replacement from kkkppkkpkppppkpk?", "a": "5/39" }, { "q": "Five letters picked without replacement from ccnnncncnnnncn. Give prob of picking 2 c and 3 n.", "a": "60/143" }, { "q": "Five letters picked without replacement from {a: 9, k: 1, d: 3}. What is prob of picking 2 d, 1 k, and 2 a?", "a": "12/143" }, { "q": "Five letters picked without replacement from {k: 8, x: 8}. What is prob of picking 3 x and 2 k?", "a": "14/39" }, { "q": "Five letters picked without replacement from zzttzkzztt. Give prob of picking 1 k and 4 z.", "a": "5/252" }, { "q": "What is prob of picking 3 d, 1 k, and 1 z when five letters picked without replacement from dkakkdddkadakdaazdd?", "a": "70/2907" }, { "q": "Five letters picked without replacement from {l: 1, e: 1, w: 5, f: 5, a: 2, t: 1}. Give prob of picking 1 t and 4 f.", "a": "5/3003" }, { "q": "Calculate prob of picking 1 x, 1 s, 2 c, and 1 v when five letters picked without replacement from xxvvtccvcttqcqttxtxs.", "a": "3/646" }, { "q": "Five letters picked without replacement from xccxczxxxxxccxx. Give prob of picking 1 z, 3 c, and 1 x.", "a": "30/1001" }, { "q": "Calculate prob of picking 1 o, 2 k, and 2 y when five letters picked without replacement from {o: 3, k: 10, y: 3}.", "a": "135/1456" }, { "q": "Five letters picked without replacement from {e: 13, n: 5}. Give prob of picking 4 n and 1 e.", "a": "65/8568" }, { "q": "Five letters picked without replacement from ffwwwww. Give prob of picking 4 w and 1 f.", "a": "10/21" }, { "q": "Calculate prob of picking 3 a, 1 t, and 1 y when five letters picked without replacement from {a: 7, y: 1, q: 3, t: 2}.", "a": "70/1287" }, { "q": "Five letters picked without replacement from sycsysysyscysysycs. What is prob of picking 4 s and 1 y?", "a": "35/612" }, { "q": "Five letters picked without replacement from qddvdqvqqqdeqvdqvvdq. What is prob of picking 1 e, 2 q, and 2 v?", "a": "35/1938" }, { "q": "Five letters picked without replacement from {y: 11, h: 8}. Give prob of picking 5 h.", "a": "14/2907" }, { "q": "What is prob of picking 3 u, 1 y, and 1 d when five letters picked without replacement from {o: 4, d: 3, y: 4, u: 2}?", "a": "0" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from {f: 6}.", "a": "1" }, { "q": "Calculate prob of picking 1 e, 1 o, and 3 b when five letters picked without replacement from {o: 2, e: 1, q: 2, b: 4, y: 10}.", "a": "2/2907" }, { "q": "Five letters picked without replacement from yllyyssyyyssysyss. What is prob of picking 4 s and 1 l?", "a": "5/442" }, { "q": "What is prob of picking 3 s and 2 g when five letters picked without replacement from iidsiisufiisgi?", "a": "0" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {c: 4, m: 7}?", "a": "0" }, { "q": "Calculate prob of picking 2 d and 3 y when five letters picked without replacement from {y: 6, m: 1, d: 2, k: 6, x: 1}.", "a": "5/1092" }, { "q": "Five letters picked without replacement from {x: 3, o: 2, i: 6}. What is prob of picking 3 x, 1 i, and 1 o?", "a": "2/77" }, { "q": "What is prob of picking 3 w and 2 o when five letters picked without replacement from wooozwoooww?", "a": "10/77" }, { "q": "Five letters picked without replacement from bbbbpbtippbbbbmbm. What is prob of picking 2 b and 3 p?", "a": "45/6188" }, { "q": "Five letters picked without replacement from {t: 1, m: 2, f: 4, z: 4, q: 8}. What is prob of picking 3 q, 1 t, and 1 z?", "a": "56/2907" }, { "q": "Five letters picked without replacement from {h: 6, n: 5}. What is prob of picking 4 h and 1 n?", "a": "25/154" }, { "q": "Calculate prob of picking 4 o and 1 p when five letters picked without replacement from ppppppopoopppopopp.", "a": "65/8568" }, { "q": "Calculate prob of picking 1 f, 1 p, 1 x, and 2 i when five letters picked without replacement from {t: 1, x: 1, i: 2, d: 2, p: 1, f: 1}.", "a": "1/56" }, { "q": "What is prob of picking 2 k and 3 m when five letters picked without replacement from rrkkmrkmmkkmmmrm?", "a": "25/312" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from {u: 5, n: 9}.", "a": "1/2002" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjjjjjjjqqjjjjjq?", "a": "33/112" }, { "q": "What is prob of picking 1 h, 1 l, 1 p, 1 w, and 1 j when five letters picked without replacement from whlkpjhhp?", "a": "1/21" }, { "q": "Five letters picked without replacement from {c: 4, h: 1, s: 10, o: 1, e: 2, a: 1}. Give prob of picking 1 c, 1 e, 1 s, 1 a, and 1 o.", "a": "20/2907" }, { "q": "Calculate prob of picking 1 b, 1 f, and 3 y when five letters picked without replacement from feyebyylfyb.", "a": "8/231" }, { "q": "Calculate prob of picking 2 r and 3 s when five letters picked without replacement from {r: 2, s: 7, x: 2}.", "a": "5/66" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from fffmfff.", "a": "2/7" }, { "q": "Five letters picked without replacement from iqiqqqqiiiqiqq. Give prob of picking 5 q.", "a": "4/143" }, { "q": "Five letters picked without replacement from {j: 7, b: 2}. What is prob of picking 5 j?", "a": "1/6" }, { "q": "What is prob of picking 1 h and 4 q when five letters picked without replacement from qqqqqqhqqqqh?", "a": "35/66" }, { "q": "What is prob of picking 2 k and 3 i when five letters picked without replacement from iniifkd?", "a": "0" }, { "q": "Five letters picked without replacement from {x: 5, m: 2, n: 7}. Give prob of picking 5 n.", "a": "3/286" }, { "q": "Calculate prob of picking 3 n and 2 s when five letters picked without replacement from {n: 4, s: 6, d: 2}.", "a": "5/66" }, { "q": "Five letters picked without replacement from rskkpjpkl. What is prob of picking 2 p, 1 l, 1 j, and 1 r?", "a": "1/126" }, { "q": "Calculate prob of picking 1 f, 1 w, 1 q, 1 b, and 1 a when five letters picked without replacement from {a: 2, b: 5, f: 7, w: 1, q: 2, k: 1}.", "a": "5/306" }, { "q": "Five letters picked without replacement from {p: 1, v: 6, y: 4}. What is prob of picking 1 v, 3 y, and 1 p?", "a": "4/77" }, { "q": "Five letters picked without replacement from {q: 4, k: 6}. Give prob of picking 3 q and 2 k.", "a": "5/21" }, { "q": "Five letters picked without replacement from mlmmmmqmmq. Give prob of picking 1 l and 4 m.", "a": "5/36" }, { "q": "Calculate prob of picking 2 a and 3 n when five letters picked without replacement from {d: 1, z: 4, n: 2, a: 1}.", "a": "0" }, { "q": "What is prob of picking 3 y, 1 h, and 1 z when five letters picked without replacement from hcyyyhhyhzc?", "a": "8/231" }, { "q": "Calculate prob of picking 2 j and 3 o when five letters picked without replacement from {l: 1, j: 2, s: 1, v: 1, o: 7}.", "a": "35/792" }, { "q": "Five letters picked without replacement from mqmqqmqq. What is prob of picking 5 q?", "a": "1/56" }, { "q": "Calculate prob of picking 2 a, 2 x, and 1 o when five letters picked without replacement from {h: 1, o: 1, x: 2, a: 2}.", "a": "1/6" }, { "q": "Five letters picked without replacement from {b: 9, a: 5}. What is prob of picking 2 b and 3 a?", "a": "180/1001" }, { "q": "What is prob of picking 2 o, 2 v, and 1 e when five letters picked without replacement from {e: 4, o: 4, v: 5}?", "a": "80/429" }, { "q": "Five letters picked without replacement from geteteetxtete. What is prob of picking 4 e and 1 g?", "a": "5/429" }, { "q": "Five letters picked without replacement from {p: 7, d: 9}. What is prob of picking 4 d and 1 p?", "a": "21/104" }, { "q": "What is prob of picking 2 d, 2 w, and 1 m when five letters picked without replacement from dmdwwiwdmd?", "a": "1/7" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from tttttttxttttttttxt?", "a": "26/51" }, { "q": "Calculate prob of picking 2 x and 3 w when five letters picked without replacement from {w: 5, x: 4}.", "a": "10/21" }, { "q": "Five letters picked without replacement from {z: 4, k: 1, d: 3, o: 5}. Give prob of picking 1 d, 3 o, and 1 k.", "a": "10/429" }, { "q": "Five letters picked without replacement from {y: 3, d: 1, m: 8}. Give prob of picking 2 m and 3 y.", "a": "7/198" }, { "q": "What is prob of picking 2 a, 1 f, and 2 d when five letters picked without replacement from ssfsfsfsfdashaasdsha?", "a": "1/646" }, { "q": "Five letters picked without replacement from {z: 2, p: 2, v: 3, y: 2, h: 7, u: 4}. What is prob of picking 1 p, 2 h, and 2 u?", "a": "21/1292" }, { "q": "Five letters picked without replacement from sybbjbftbtsb. What is prob of picking 1 y, 2 s, and 2 t?", "a": "1/792" }, { "q": "Five letters picked without replacement from {n: 8, u: 2}. Give prob of picking 2 u and 3 n.", "a": "2/9" }, { "q": "Five letters picked without replacement from {b: 4, y: 11, l: 1}. Give prob of picking 2 y and 3 b.", "a": "55/1092" }, { "q": "What is prob of picking 2 r, 2 p, and 1 m when five letters picked without replacement from pfrrpsmmsf?", "a": "1/126" }, { "q": "What is prob of picking 2 c and 3 z when five letters picked without replacement from lclcezcczqczzzlqlesz?", "a": "25/1938" }, { "q": "Calculate prob of picking 2 g, 1 u, 1 a, and 1 y when five letters picked without replacement from uuuuygugugguuayy.", "a": "3/91" }, { "q": "Five letters picked without replacement from hshssshhh. What is prob of picking 3 h and 2 s?", "a": "10/21" }, { "q": "What is prob of picking 4 s and 1 r when five letters picked without replacement from ssssssrsssrsrs?", "a": "45/91" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from uuuuubuuuuubu.", "a": "14/39" }, { "q": "Five letters picked without replacement from jojjjooojo. Give prob of picking 1 o and 4 j.", "a": "25/252" }, { "q": "Five letters picked without replacement from nvbcbcccwcwbcvvccbb. What is prob of picking 1 c and 4 b?", "a": "10/2907" }, { "q": "Five letters picked without replacement from xcxchcchchhcxxhxc. What is prob of picking 3 x and 2 h?", "a": "25/1547" }, { "q": "What is prob of picking 3 g and 2 i when five letters picked without replacement from {i: 11, g: 5}?", "a": "275/2184" }, { "q": "Calculate prob of picking 1 a, 2 i, and 2 f when five letters picked without replacement from {f: 2, a: 7, i: 8}.", "a": "7/221" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {a: 6, i: 4}?", "a": "1/42" }, { "q": "Calculate prob of picking 1 l and 4 g when five letters picked without replacement from {x: 4, l: 5, z: 1, g: 6}.", "a": "25/1456" }, { "q": "What is prob of picking 3 m and 2 w when five letters picked without replacement from gwgwgmmmqjq?", "a": "1/462" }, { "q": "What is prob of picking 2 s, 1 w, 1 i, and 1 v when five letters picked without replacement from {i: 1, v: 4, s: 2, w: 2}?", "a": "4/63" }, { "q": "What is prob of picking 2 k, 1 g, 1 p, and 1 v when five letters picked without replacement from fkpkzgpvgkgfg?", "a": "8/429" }, { "q": "Five letters picked without replacement from {c: 3, f: 1, b: 6, q: 3, p: 1, u: 1}. Give prob of picking 1 c, 1 q, and 3 b.", "a": "60/1001" }, { "q": "Calculate prob of picking 1 u, 1 c, 2 q, and 1 t when five letters picked without replacement from tcthsquqqqh.", "a": "2/77" }, { "q": "Calculate prob of picking 1 v, 1 m, 2 i, and 1 f when five letters picked without replacement from vvifvnim.", "a": "3/56" }, { "q": "Five letters picked without replacement from cxdxoxddwxdoojwdxdxx. What is prob of picking 1 o, 2 w, and 2 x?", "a": "21/5168" }, { "q": "Calculate prob of picking 2 s, 1 a, and 2 w when five letters picked without replacement from wtuuauasuswaawusu.", "a": "9/1547" }, { "q": "Five letters picked without replacement from hyyhuyhuhrhh. What is prob of picking 2 h, 2 u, and 1 y?", "a": "5/88" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from fhhffffhf.", "a": "1/21" }, { "q": "Five letters picked without replacement from {z: 6, v: 2, s: 2, m: 5}. Give prob of picking 1 v, 1 m, and 3 z.", "a": "200/3003" }, { "q": "Calculate prob of picking 2 v and 3 k when five letters picked without replacement from kvkkkvkvvkkkvvv.", "a": "56/143" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from drrddrddrdddrddr.", "a": "3/52" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {n: 6, c: 4, p: 6}.", "a": "1/728" }, { "q": "Calculate prob of picking 2 a, 2 i, and 1 l when five letters picked without replacement from {l: 8, q: 1, i: 3, a: 3, j: 2}.", "a": "18/1547" }, { "q": "Calculate prob of picking 1 c and 4 h when five letters picked without replacement from {c: 1, h: 5}.", "a": "5/6" }, { "q": "What is prob of picking 1 w, 3 a, and 1 p when five letters picked without replacement from {w: 1, y: 5, p: 7, a: 4}?", "a": "1/221" }, { "q": "Five letters picked without replacement from {l: 1, h: 4, t: 13, s: 2}. Give prob of picking 1 t and 4 h.", "a": "13/15504" }, { "q": "Five letters picked without replacement from xfxnxxeenffx. What is prob of picking 1 e and 4 x?", "a": "5/396" }, { "q": "Five letters picked without replacement from {v: 6, k: 3, n: 4, q: 5}. Give prob of picking 3 n and 2 v.", "a": "5/714" }, { "q": "What is prob of picking 4 z and 1 v when five letters picked without replacement from zzvzvvvzzzzz?", "a": "35/99" }, { "q": "Five letters picked without replacement from uuuuuoouuuumuououuu. Give prob of picking 4 o and 1 m.", "a": "1/11628" }, { "q": "Five letters picked without replacement from weewxwewewesxw. Give prob of picking 3 e, 1 x, and 1 w.", "a": "60/1001" }, { "q": "Five letters picked without replacement from mmemmmmmmeeme. Give prob of picking 5 m.", "a": "14/143" }, { "q": "Five letters picked without replacement from gggccgccggccggcgggg. What is prob of picking 1 c and 4 g?", "a": "385/1292" }, { "q": "Calculate prob of picking 1 m and 4 g when five letters picked without replacement from mgggggmgg.", "a": "5/9" }, { "q": "Five letters picked without replacement from vnnprppkvp. Give prob of picking 1 r, 2 v, 1 k, and 1 p.", "a": "1/63" }, { "q": "Five letters picked without replacement from {s: 2, a: 3, i: 1, l: 9, o: 2}. Give prob of picking 2 o, 2 a, and 1 s.", "a": "3/3094" }, { "q": "Five letters picked without replacement from lliiiqlilq. Give prob of picking 2 q and 3 l.", "a": "1/63" }, { "q": "What is prob of picking 4 b and 1 w when five letters picked without replacement from wwwbbbbwwww?", "a": "1/66" }, { "q": "Calculate prob of picking 1 u, 1 j, and 3 f when five letters picked without replacement from fffujjfj.", "a": "3/14" }, { "q": "Five letters picked without replacement from imwismmiwwwimwimi. What is prob of picking 3 m, 1 i, and 1 s?", "a": "15/1547" }, { "q": "Calculate prob of picking 1 t and 4 m when five letters picked without replacement from ttmtmtmttttttm.", "a": "5/1001" }, { "q": "Five letters picked without replacement from {h: 1, p: 1, c: 3, k: 5, m: 1, n: 5}. What is prob of picking 2 n, 2 c, and 1 p?", "a": "5/728" }, { "q": "Five letters picked without replacement from {a: 7, r: 5}. Give prob of picking 5 r.", "a": "1/792" }, { "q": "Five letters picked without replacement from ffpppppplppffpvpp. Give prob of picking 1 l, 1 f, and 3 p.", "a": "165/1547" }, { "q": "What is prob of picking 2 o, 1 u, and 2 d when five letters picked without replacement from {o: 5, d: 3, p: 2, u: 1, v: 3}?", "a": "15/1001" }, { "q": "Five letters picked without replacement from {h: 12, o: 5}. What is prob of picking 3 o and 2 h?", "a": "165/1547" }, { "q": "Five letters picked without replacement from {e: 12, u: 3, v: 5}. Give prob of picking 1 u, 2 e, and 2 v.", "a": "165/1292" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from sssswsssww.", "a": "1/12" }, { "q": "Five letters picked without replacement from dulvdlulldu. What is prob of picking 1 u, 1 l, 1 v, and 2 d?", "a": "6/77" }, { "q": "Five letters picked without replacement from qcqqqqjqvccqqvvcvjqv. Give prob of picking 3 c and 2 j.", "a": "1/3876" }, { "q": "Five letters picked without replacement from mrmlmm. What is prob of picking 1 r and 4 m?", "a": "1/6" }, { "q": "What is prob of picking 3 x and 2 n when five letters picked without replacement from nnnxnnxxnnnn?", "a": "1/22" }, { "q": "What is prob of picking 1 a, 1 f, and 3 i when five letters picked without replacement from {i: 9, f: 7, m: 2, a: 2}?", "a": "49/646" }, { "q": "Five letters picked without replacement from {t: 3, a: 1, w: 2, c: 2, q: 6}. Give prob of picking 1 q, 2 w, and 2 t.", "a": "9/1001" }, { "q": "What is prob of picking 1 x and 4 t when five letters picked without replacement from hmttxtt?", "a": "1/21" }, { "q": "What is prob of picking 4 t and 1 h when five letters picked without replacement from {t: 15, h: 5}?", "a": "2275/5168" }, { "q": "Five letters picked without replacement from {q: 3, o: 3}. Give prob of picking 3 o and 2 q.", "a": "1/2" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from wewgwuewwggeeewge?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {z: 3, o: 4, h: 10, i: 2}. What is prob of picking 1 h, 1 i, and 3 o?", "a": "20/2907" }, { "q": "Calculate prob of picking 2 v, 1 r, and 2 g when five letters picked without replacement from gvhvvghgrhpg.", "a": "1/44" }, { "q": "Calculate prob of picking 2 k, 1 h, and 2 s when five letters picked without replacement from {s: 3, k: 4, h: 1}.", "a": "9/28" }, { "q": "What is prob of picking 1 v, 1 w, 2 o, and 1 u when five letters picked without replacement from uvqxoqqovxqwo?", "a": "2/429" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjjjjjjjjjjyyj?", "a": "36/91" }, { "q": "Calculate prob of picking 2 b, 2 g, and 1 z when five letters picked without replacement from gbhbgzggg.", "a": "5/63" }, { "q": "Five letters picked without replacement from eapzpzaapprepazpar. What is prob of picking 1 p and 4 z?", "a": "0" }, { "q": "Five letters picked without replacement from xxxbxwbwxxxbxxbobo. Give prob of picking 1 o and 4 b.", "a": "5/4284" }, { "q": "Five letters picked without replacement from {i: 4, k: 2, e: 2, b: 3, z: 3, h: 2}. Give prob of picking 1 e, 1 i, 2 k, and 1 z.", "a": "1/182" }, { "q": "Calculate prob of picking 1 o and 4 h when five letters picked without replacement from hooohhoooho.", "a": "1/66" }, { "q": "What is prob of picking 4 x and 1 e when five letters picked without replacement from xxxxxxxxxex?", "a": "5/11" }, { "q": "What is prob of picking 3 a and 2 u when five letters picked without replacement from {u: 4, t: 2, y: 3, a: 3}?", "a": "1/132" }, { "q": "What is prob of picking 3 a and 2 z when five letters picked without replacement from {z: 3, a: 3, e: 1}?", "a": "1/7" }, { "q": "Five letters picked without replacement from yqqyqqqqqyqqqyqqq. Give prob of picking 5 q.", "a": "99/476" }, { "q": "What is prob of picking 4 u and 1 v when five letters picked without replacement from uvnnvnvuuvvu?", "a": "5/792" }, { "q": "Five letters picked without replacement from qnnnqqqnqnnnnnqq. Give prob of picking 3 n and 2 q.", "a": "21/52" }, { "q": "Five letters picked without replacement from vvhdvvdvhdvvv. Give prob of picking 3 v and 2 h.", "a": "56/1287" }, { "q": "Five letters picked without replacement from {x: 7, o: 6}. What is prob of picking 2 o and 3 x?", "a": "175/429" }, { "q": "What is prob of picking 1 j and 4 x when five letters picked without replacement from {j: 2, x: 14}?", "a": "11/24" }, { "q": "Five letters picked without replacement from {q: 3, v: 11, x: 2}. What is prob of picking 2 x and 3 q?", "a": "1/4368" }, { "q": "Five letters picked without replacement from mllllllmlllmlllml. Give prob of picking 1 m and 4 l.", "a": "55/119" }, { "q": "What is prob of picking 1 n, 1 i, 2 p, and 1 h when five letters picked without replacement from ipzpnhwp?", "a": "3/56" }, { "q": "What is prob of picking 4 j and 1 z when five letters picked without replacement from ejcjeefejjjfezccjz?", "a": "5/1428" }, { "q": "Calculate prob of picking 3 m and 2 q when five letters picked without replacement from qmgggmxmgggq.", "a": "1/792" }, { "q": "Calculate prob of picking 1 k, 1 m, and 3 v when five letters picked without replacement from dkvvdvddvdmvkdkk.", "a": "5/546" }, { "q": "Five letters picked without replacement from {d: 1, a: 5}. What is prob of picking 4 a and 1 d?", "a": "5/6" }, { "q": "Five letters picked without replacement from {o: 4, n: 3, j: 1, w: 3, l: 4}. What is prob of picking 1 l, 2 w, and 2 n?", "a": "12/1001" }, { "q": "What is prob of picking 3 w and 2 e when five letters picked without replacement from {w: 14, e: 4}?", "a": "13/51" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from llllplpplll.", "a": "4/33" }, { "q": "Calculate prob of picking 1 x, 2 c, 1 i, and 1 s when five letters picked without replacement from xizcxiczsxcczzz.", "a": "12/1001" }, { "q": "Five letters picked without replacement from {w: 10, k: 6}. Give prob of picking 1 w and 4 k.", "a": "25/728" }, { "q": "Calculate prob of picking 3 h and 2 z when five letters picked without replacement from zzhhzhhhhhhhhhhh.", "a": "11/56" }, { "q": "What is prob of picking 2 o, 1 c, and 2 s when five letters picked without replacement from {c: 1, s: 6, o: 12}?", "a": "55/646" }, { "q": "What is prob of picking 3 k and 2 c when five letters picked without replacement from kcckckckcckkc?", "a": "140/429" }, { "q": "What is prob of picking 4 r and 1 z when five letters picked without replacement from zrrzzzrzzrzzzrrzzr?", "a": "55/1224" }, { "q": "What is prob of picking 3 b, 1 v, and 1 k when five letters picked without replacement from bkkmvrkrmbbbrmv?", "a": "8/1001" }, { "q": "Calculate prob of picking 2 n, 1 r, and 2 j when five letters picked without replacement from wwjjwjnrwrjjnrnjjj.", "a": "1/34" }, { "q": "Five letters picked without replacement from uuggguugugugguggu. Give prob of picking 3 u and 2 g.", "a": "72/221" }, { "q": "What is prob of picking 1 y, 1 z, and 3 j when five letters picked without replacement from jxxzjexxxyxzjeye?", "a": "1/1092" }, { "q": "What is prob of picking 1 t, 1 n, and 3 e when five letters picked without replacement from tnnttnnfnttueteee?", "a": "30/1547" }, { "q": "Five letters picked without replacement from wuguuuwmgwugg. Give prob of picking 2 w, 1 g, and 2 u.", "a": "40/429" }, { "q": "Five letters picked without replacement from enneeneseeeeen. What is prob of picking 1 e and 4 n?", "a": "9/2002" }, { "q": "Five letters picked without replacement from usssusssusussuss. What is prob of picking 4 s and 1 u?", "a": "275/728" }, { "q": "What is prob of picking 1 t, 1 m, and 3 i when five letters picked without replacement from {t: 6, m: 4, i: 3}?", "a": "8/429" }, { "q": "Five letters picked without replacement from hhddhhhhhdhdhhhh. What is prob of picking 4 h and 1 d?", "a": "165/364" }, { "q": "Five letters picked without replacement from zfpsjzzjsppjzppz. Give prob of picking 5 z.", "a": "1/4368" }, { "q": "Five letters picked without replacement from umbbubbbubbuummbmmb. Give prob of picking 1 u, 1 m, and 3 b.", "a": "175/969" }, { "q": "Five letters picked without replacement from hhhbshbbhbshbhbhhhbh. Give prob of picking 2 s, 2 b, and 1 h.", "a": "77/5168" }, { "q": "Calculate prob of picking 4 e and 1 m when five letters picked without replacement from eeeeeemtemee.", "a": "7/22" }, { "q": "Five letters picked without replacement from {i: 6, g: 11}. Give prob of picking 4 i and 1 g.", "a": "165/6188" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {w: 10, b: 8}.", "a": "1/34" }, { "q": "Calculate prob of picking 2 e, 1 z, and 2 d when five letters picked without replacement from {e: 3, i: 3, z: 1, d: 5}.", "a": "5/132" }, { "q": "Five letters picked without replacement from ttkiiittkt. Give prob of picking 1 i, 1 k, and 3 t.", "a": "5/21" }, { "q": "Five letters picked without replacement from {v: 1, w: 5, o: 2, u: 2, l: 5}. What is prob of picking 1 w, 2 u, 1 o, and 1 l?", "a": "50/3003" }, { "q": "Five letters picked without replacement from {w: 5, o: 7}. What is prob of picking 5 o?", "a": "7/264" }, { "q": "Five letters picked without replacement from svouusooso. What is prob of picking 1 u and 4 o?", "a": "1/126" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from {f: 11, i: 5}.", "a": "1/4368" }, { "q": "What is prob of picking 1 o, 2 g, and 2 s when five letters picked without replacement from goioiooggossgg?", "a": "25/1001" }, { "q": "Calculate prob of picking 1 p, 1 l, and 3 v when five letters picked without replacement from voplvopploopopppop.", "a": "0" }, { "q": "Five letters picked without replacement from {n: 5, f: 9}. What is prob of picking 4 n and 1 f?", "a": "45/2002" }, { "q": "What is prob of picking 1 z, 2 s, 1 h, and 1 l when five letters picked without replacement from zlhshsllslhv?", "a": "1/22" }, { "q": "Five letters picked without replacement from ssxxssxxxxxxsxxxx. What is prob of picking 4 x and 1 s?", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {d: 5, u: 11}. What is prob of picking 1 d and 4 u?", "a": "275/728" }, { "q": "What is prob of picking 1 u, 1 h, 1 g, 1 c, and 1 j when five letters picked without replacement from hughhuhcgjagccuchgh?", "a": "8/323" }, { "q": "Calculate prob of picking 2 y and 3 c when five letters picked without replacement from {q: 1, x: 9, w: 1, y: 7, c: 1}.", "a": "0" }, { "q": "Calculate prob of picking 2 y and 3 t when five letters picked without replacement from yytpttyyqtm.", "a": "4/77" }, { "q": "What is prob of picking 2 x and 3 t when five letters picked without replacement from {x: 10, t: 4, l: 3, g: 3}?", "a": "15/1292" }, { "q": "Five letters picked without replacement from ljljzjzjcjcljbbl. Give prob of picking 2 c, 1 z, and 2 b.", "a": "1/2184" }, { "q": "Five letters picked without replacement from zptzhjtppztjjttz. Give prob of picking 1 p, 2 j, and 2 z.", "a": "9/728" }, { "q": "Calculate prob of picking 3 r and 2 p when five letters picked without replacement from pprprrrrrppprprr.", "a": "21/52" }, { "q": "Calculate prob of picking 4 g and 1 i when five letters picked without replacement from {g: 5, i: 12}.", "a": "15/1547" }, { "q": "Five letters picked without replacement from {u: 3, g: 2, i: 1, b: 4, n: 4}. Give prob of picking 1 b, 1 g, 1 n, and 2 u.", "a": "48/1001" }, { "q": "Calculate prob of picking 2 o, 1 t, and 2 z when five letters picked without replacement from ttotzoootzoztoooo.", "a": "135/1547" }, { "q": "Five letters picked without replacement from {l: 8, p: 6}. What is prob of picking 5 p?", "a": "3/1001" }, { "q": "What is prob of picking 3 i, 1 l, and 1 a when five letters picked without replacement from dxxxdixxxlbbaxd?", "a": "0" }, { "q": "Calculate prob of picking 3 f and 2 n when five letters picked without replacement from {n: 6, f: 4}.", "a": "5/21" }, { "q": "Calculate prob of picking 4 g and 1 c when five letters picked without replacement from {l: 1, b: 2, c: 1, g: 4, k: 1}.", "a": "1/126" }, { "q": "Five letters picked without replacement from {t: 8, h: 5, b: 3}. What is prob of picking 2 t and 3 b?", "a": "1/156" }, { "q": "Five letters picked without replacement from stmtbstzmotz. Give prob of picking 1 s, 2 t, and 2 m.", "a": "1/66" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from fwffwwfffwffwwwww?", "a": "9/442" }, { "q": "Calculate prob of picking 1 m, 1 r, 2 y, and 1 o when five letters picked without replacement from {r: 1, j: 3, o: 3, m: 3, y: 5}.", "a": "30/1001" }, { "q": "Five letters picked without replacement from {v: 2, g: 6, t: 8}. What is prob of picking 1 g, 2 t, and 2 v?", "a": "1/26" }, { "q": "What is prob of picking 1 s, 1 t, 2 x, and 1 m when five letters picked without replacement from sxxssixisssmt?", "a": "2/143" }, { "q": "What is prob of picking 2 w and 3 z when five letters picked without replacement from wxzxxszwsxzssskzxx?", "a": "1/2142" }, { "q": "Calculate prob of picking 1 v and 4 d when five letters picked without replacement from yyddddrydvr.", "a": "5/462" }, { "q": "What is prob of picking 1 f and 4 o when five letters picked without replacement from ffffxxfxofooox?", "a": "3/1001" }, { "q": "What is prob of picking 1 v, 2 s, and 2 b when five letters picked without replacement from ubbusv?", "a": "0" }, { "q": "Calculate prob of picking 4 v and 1 f when five letters picked without replacement from {f: 3, d: 12, v: 5}.", "a": "5/5168" }, { "q": "Five letters picked without replacement from shpshppshss. What is prob of picking 2 s and 3 p?", "a": "5/231" }, { "q": "What is prob of picking 1 y, 2 q, and 2 n when five letters picked without replacement from {m: 4, s: 5, y: 1, n: 2, q: 3}?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {t: 1, p: 1, z: 1, l: 1, h: 2, u: 1}. What is prob of picking 1 l, 1 u, 1 p, and 2 h?", "a": "1/21" }, { "q": "Calculate prob of picking 4 b and 1 s when five letters picked without replacement from {s: 5, a: 7, b: 6}.", "a": "25/2856" }, { "q": "Five letters picked without replacement from {g: 2, k: 3, y: 1, s: 2, u: 3}. Give prob of picking 3 u, 1 k, and 1 s.", "a": "1/77" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {c: 14, t: 2}?", "a": "11/24" }, { "q": "What is prob of picking 3 y and 2 t when five letters picked without replacement from {y: 8, t: 10}?", "a": "5/17" }, { "q": "What is prob of picking 2 i, 1 o, and 2 v when five letters picked without replacement from {v: 2, z: 1, o: 11, i: 4}?", "a": "11/1428" }, { "q": "What is prob of picking 2 x, 1 o, and 2 w when five letters picked without replacement from {q: 1, x: 4, o: 3, w: 3, s: 1, t: 4}?", "a": "9/728" }, { "q": "Five letters picked without replacement from {t: 7, y: 4, m: 2, h: 1}. What is prob of picking 1 h, 3 t, and 1 m?", "a": "5/143" }, { "q": "Five letters picked without replacement from vvvvvv. What is prob of picking 5 v?", "a": "1" }, { "q": "What is prob of picking 3 x and 2 z when five letters picked without replacement from zzxzzxxzzlzzzzzzzx?", "a": "13/357" }, { "q": "Five letters picked without replacement from {b: 11, l: 5}. What is prob of picking 5 l?", "a": "1/4368" }, { "q": "Five letters picked without replacement from qgggguggqggggg. Give prob of picking 1 q and 4 g.", "a": "30/91" }, { "q": "Five letters picked without replacement from mddmdddmmd. Give prob of picking 1 d and 4 m.", "a": "1/42" }, { "q": "What is prob of picking 1 n, 2 c, 1 l, and 1 w when five letters picked without replacement from cwciiwwwwwjlnwlcnw?", "a": "4/357" }, { "q": "What is prob of picking 1 m, 1 q, 1 p, and 2 g when five letters picked without replacement from {q: 3, p: 1, m: 1, b: 4, g: 2}?", "a": "1/154" }, { "q": "Five letters picked without replacement from bbbbb. What is prob of picking 5 b?", "a": "1" }, { "q": "Five letters picked without replacement from {z: 13, v: 7}. What is prob of picking 4 z and 1 v?", "a": "5005/15504" }, { "q": "What is prob of picking 3 t and 2 d when five letters picked without replacement from {t: 12, d: 2}?", "a": "10/91" }, { "q": "What is prob of picking 4 l and 1 m when five letters picked without replacement from llllllllmlll?", "a": "5/12" }, { "q": "What is prob of picking 4 f and 1 n when five letters picked without replacement from {f: 9, n: 2, h: 3}?", "a": "18/143" }, { "q": "What is prob of picking 4 o and 1 h when five letters picked without replacement from hohohvoovhh?", "a": "5/462" }, { "q": "Five letters picked without replacement from bbddbbbbddbddbdbbbd. What is prob of picking 2 d and 3 b?", "a": "385/969" }, { "q": "What is prob of picking 1 y, 1 t, 2 h, and 1 e when five letters picked without replacement from euhtphthhtyhh?", "a": "5/143" }, { "q": "Five letters picked without replacement from hkkahkhhhkkkhaajkjhh. Give prob of picking 2 a and 3 k.", "a": "35/5168" }, { "q": "What is prob of picking 3 p and 2 y when five letters picked without replacement from {p: 3, y: 4}?", "a": "2/7" }, { "q": "Calculate prob of picking 1 v and 4 a when five letters picked without replacement from {q: 3, a: 7, v: 5}.", "a": "25/429" }, { "q": "What is prob of picking 1 g and 4 u when five letters picked without replacement from ggggguuugggug?", "a": "1/143" }, { "q": "Five letters picked without replacement from {s: 1, w: 4, l: 6, e: 2}. What is prob of picking 1 l, 3 w, and 1 s?", "a": "8/429" }, { "q": "Calculate prob of picking 2 r and 3 f when five letters picked without replacement from {b: 1, f: 12, r: 2, i: 2}.", "a": "55/1547" }, { "q": "Calculate prob of picking 2 o and 3 i when five letters picked without replacement from ooioioi.", "a": "2/7" }, { "q": "Five letters picked without replacement from ocucuiccciuc. Give prob of picking 5 o.", "a": "0" }, { "q": "Five letters picked without replacement from koxpmpkxkpoxcomppkxo. What is prob of picking 2 k, 1 x, 1 p, and 1 c?", "a": "5/646" }, { "q": "Five letters picked without replacement from {n: 2, z: 1, t: 1, v: 1, s: 3, c: 1}. What is prob of picking 1 c, 3 s, and 1 t?", "a": "1/126" }, { "q": "Calculate prob of picking 1 h, 1 e, 1 a, and 2 s when five letters picked without replacement from {h: 3, a: 1, e: 7, f: 2, n: 1, s: 2}.", "a": "1/208" }, { "q": "Five letters picked without replacement from {n: 3, c: 6, v: 3, d: 2}. Give prob of picking 5 c.", "a": "3/1001" }, { "q": "Calculate prob of picking 3 s and 2 f when five letters picked without replacement from ssffsfsssssfssssfsss.", "a": "2275/7752" }, { "q": "What is prob of picking 1 n and 4 o when five letters picked without replacement from {o: 10, n: 3, g: 1}?", "a": "45/143" }, { "q": "What is prob of picking 3 a and 2 n when five letters picked without replacement from {a: 6, n: 5, f: 4, d: 1}?", "a": "25/546" }, { "q": "Calculate prob of picking 2 l, 2 h, and 1 s when five letters picked without replacement from {h: 10, l: 3, s: 6}.", "a": "45/646" }, { "q": "Five letters picked without replacement from {b: 4, y: 8, s: 5}. What is prob of picking 3 s and 2 y?", "a": "10/221" }, { "q": "What is prob of picking 1 v, 3 h, and 1 q when five letters picked without replacement from haviqhahhqhaiavv?", "a": "5/364" }, { "q": "Five letters picked without replacement from oooooooooo. Give prob of picking 5 o.", "a": "1" }, { "q": "Five letters picked without replacement from {t: 4, j: 4, e: 1, p: 1, w: 2}. What is prob of picking 2 j, 2 w, and 1 e?", "a": "1/132" }, { "q": "Five letters picked without replacement from {m: 10, y: 4}. Give prob of picking 5 m.", "a": "18/143" }, { "q": "Five letters picked without replacement from hddhdddaaddhahadh. What is prob of picking 3 d and 2 h?", "a": "20/221" }, { "q": "Calculate prob of picking 3 v and 2 a when five letters picked without replacement from vvavvvaaaa.", "a": "25/63" }, { "q": "Calculate prob of picking 2 g and 3 e when five letters picked without replacement from {g: 8, e: 5}.", "a": "280/1287" }, { "q": "What is prob of picking 1 h, 3 a, and 1 j when five letters picked without replacement from {j: 2, h: 1, a: 3, n: 2, v: 1, k: 8}?", "a": "1/3094" }, { "q": "Five letters picked without replacement from {y: 4, k: 5}. What is prob of picking 5 k?", "a": "1/126" }, { "q": "Calculate prob of picking 1 f, 2 t, and 2 n when five letters picked without replacement from {t: 4, n: 4, q: 1, f: 1, g: 1}.", "a": "6/77" }, { "q": "What is prob of picking 1 g and 4 h when five letters picked without replacement from ghhghhhghghhhhhh?", "a": "165/364" }, { "q": "Calculate prob of picking 1 m and 4 t when five letters picked without replacement from idtidiiitdmiityrtydd.", "a": "1/15504" }, { "q": "What is prob of picking 1 v and 4 k when five letters picked without replacement from vkvkkvkkvvvkv?", "a": "35/429" }, { "q": "Five letters picked without replacement from {e: 1, h: 6}. Give prob of picking 4 h and 1 e.", "a": "5/7" }, { "q": "Calculate prob of picking 1 c, 3 h, and 1 x when five letters picked without replacement from {c: 3, m: 1, h: 6, x: 1, f: 1, i: 1}.", "a": "20/429" }, { "q": "What is prob of picking 1 u and 4 f when five letters picked without replacement from {f: 4, u: 5}?", "a": "5/126" }, { "q": "Five letters picked without replacement from dmmnmneddfentt. Give prob of picking 3 d and 2 e.", "a": "1/2002" }, { "q": "Five letters picked without replacement from gggnkzkczzznz. What is prob of picking 1 n, 2 k, 1 g, and 1 z?", "a": "10/429" }, { "q": "Five letters picked without replacement from {q: 1, e: 4, y: 7, n: 6}. Give prob of picking 3 n and 2 e.", "a": "5/357" }, { "q": "Calculate prob of picking 2 y, 2 g, and 1 d when five letters picked without replacement from {d: 4, y: 9, b: 2, o: 1, g: 2}.", "a": "2/119" }, { "q": "Calculate prob of picking 3 w and 2 q when five letters picked without replacement from vvqqqvwqzwvqqnqnqw.", "a": "1/306" }, { "q": "Five letters picked without replacement from tlzzqqz. What is prob of picking 3 z and 2 q?", "a": "1/21" }, { "q": "What is prob of picking 1 g, 3 p, and 1 x when five letters picked without replacement from {g: 2, j: 1, x: 4, n: 7, p: 5}?", "a": "20/2907" }, { "q": "What is prob of picking 1 q, 3 l, and 1 b when five letters picked without replacement from lbbqlqqqqlllbqqqblb?", "a": "200/2907" }, { "q": "Five letters picked without replacement from qmmqqmmqmmm. What is prob of picking 1 m and 4 q?", "a": "1/66" }, { "q": "Calculate prob of picking 2 v and 3 i when five letters picked without replacement from {i: 3, v: 3, e: 6}.", "a": "1/264" }, { "q": "Calculate prob of picking 4 r and 1 n when five letters picked without replacement from drrrgnrrrgrgn.", "a": "70/1287" }, { "q": "Five letters picked without replacement from {b: 2, c: 6, k: 10}. What is prob of picking 2 b and 3 k?", "a": "5/357" }, { "q": "Five letters picked without replacement from lvlvvlnaaglglgg. What is prob of picking 1 n and 4 g?", "a": "1/3003" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jnjjjmjn?", "a": "1/56" }, { "q": "Calculate prob of picking 1 n, 1 f, and 3 l when five letters picked without replacement from {n: 2, f: 8, l: 7}.", "a": "20/221" }, { "q": "What is prob of picking 2 f, 1 k, and 2 l when five letters picked without replacement from frfrkefrlferelrrrff?", "a": "5/3876" }, { "q": "Five letters picked without replacement from {f: 3, e: 6, d: 4, p: 1, t: 2, h: 4}. Give prob of picking 2 h, 2 e, and 1 p.", "a": "15/2584" }, { "q": "Five letters picked without replacement from {b: 3, x: 3, v: 3, c: 2, r: 1}. What is prob of picking 3 x, 1 r, and 1 v?", "a": "1/264" }, { "q": "Calculate prob of picking 3 w and 2 f when five letters picked without replacement from fffwffwfffffffw.", "a": "2/91" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from uuuuuuuuuuuuujjjuuuu.", "a": "91/228" }, { "q": "Calculate prob of picking 2 d, 1 q, 1 v, and 1 p when five letters picked without replacement from dvdvqddppqpvddqqqpqp.", "a": "225/2584" }, { "q": "Five letters picked without replacement from exxxxlxqelqxllll. Give prob of picking 5 x.", "a": "1/728" }, { "q": "Five letters picked without replacement from mwjwevbbwmmvvmw. Give prob of picking 2 v, 1 j, 1 b, and 1 e.", "a": "2/1001" }, { "q": "Calculate prob of picking 1 m, 3 n, and 1 k when five letters picked without replacement from bbenknnbkknekeebem.", "a": "2/1071" }, { "q": "Five letters picked without replacement from zzmmmm. Give prob of picking 4 m and 1 z.", "a": "1/3" }, { "q": "What is prob of picking 1 h and 4 u when five letters picked without replacement from {u: 9, w: 4, t: 2, h: 2, p: 3}?", "a": "21/1292" }, { "q": "Calculate prob of picking 4 u and 1 p when five letters picked without replacement from suupupruarrrurruusp.", "a": "35/3876" }, { "q": "Five letters picked without replacement from {d: 3, e: 1, m: 7, f: 1, l: 2, w: 2}. What is prob of picking 1 f, 1 m, 1 e, 1 w, and 1 d?", "a": "1/104" }, { "q": "Five letters picked without replacement from aaaaavaavvaaa. Give prob of picking 2 a and 3 v.", "a": "5/143" }, { "q": "Five letters picked without replacement from {g: 1, p: 6, k: 1, x: 2, i: 2, z: 5}. What is prob of picking 1 g, 1 k, 2 p, and 1 z?", "a": "75/6188" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from {s: 6, y: 7}?", "a": "7/429" }, { "q": "Five letters picked without replacement from {p: 1, f: 1, q: 2, v: 4, k: 2, d: 5}. Give prob of picking 1 k, 1 p, and 3 d.", "a": "20/3003" }, { "q": "What is prob of picking 4 w and 1 v when five letters picked without replacement from {v: 1, m: 2, w: 4, j: 1}?", "a": "1/56" }, { "q": "Five letters picked without replacement from {f: 1, o: 3, d: 4, c: 4, h: 3}. What is prob of picking 1 f, 2 o, and 2 c?", "a": "6/1001" }, { "q": "Five letters picked without replacement from ydyqqqdqnqqdjdddq. What is prob of picking 1 j, 2 q, 1 n, and 1 d?", "a": "9/442" }, { "q": "Five letters picked without replacement from {a: 10, i: 7}. Give prob of picking 1 i and 4 a.", "a": "105/442" }, { "q": "What is prob of picking 3 c and 2 d when five letters picked without replacement from {c: 12, d: 7}?", "a": "385/969" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from zzvvvzzzvvvzzvvz?", "a": "1/78" }, { "q": "What is prob of picking 2 e and 3 m when five letters picked without replacement from {v: 2, i: 1, e: 8, m: 4}?", "a": "16/429" }, { "q": "Calculate prob of picking 1 d, 2 k, and 2 r when five letters picked without replacement from {u: 3, r: 2, t: 1, k: 5, d: 3, c: 3}.", "a": "15/3094" }, { "q": "What is prob of picking 2 c, 1 p, 1 l, and 1 g when five letters picked without replacement from {g: 2, c: 3, l: 1, p: 3}?", "a": "1/7" }, { "q": "Five letters picked without replacement from {d: 6, o: 4}. What is prob of picking 4 d and 1 o?", "a": "5/21" }, { "q": "Five letters picked without replacement from {v: 8, k: 1, t: 1, b: 1}. What is prob of picking 4 v and 1 k?", "a": "5/33" }, { "q": "Five letters picked without replacement from {s: 2, b: 4, k: 1, g: 10, h: 1, q: 1}. What is prob of picking 1 h, 2 g, 1 b, and 1 q?", "a": "5/323" }, { "q": "Calculate prob of picking 4 m and 1 s when five letters picked without replacement from sslsmmmmisii.", "a": "1/198" }, { "q": "Five letters picked without replacement from bbzbbxbbzzz. What is prob of picking 1 x, 2 z, and 2 b?", "a": "15/77" }, { "q": "What is prob of picking 4 o and 1 j when five letters picked without replacement from {o: 8, m: 2, j: 1}?", "a": "5/33" }, { "q": "Five letters picked without replacement from ppppzpzpppppppzp. Give prob of picking 3 p and 2 z.", "a": "11/56" }, { "q": "Five letters picked without replacement from jzjjjjjjjzjjjjjz. Give prob of picking 2 z and 3 j.", "a": "11/56" }, { "q": "What is prob of picking 2 m and 3 g when five letters picked without replacement from {g: 7, o: 1, m: 3, w: 5}?", "a": "5/208" }, { "q": "What is prob of picking 2 p, 1 e, and 2 f when five letters picked without replacement from {g: 4, i: 4, p: 2, r: 1, f: 2, e: 1}?", "a": "1/2002" }, { "q": "Calculate prob of picking 1 q, 1 x, 2 u, and 1 v when five letters picked without replacement from {x: 3, v: 1, u: 2, q: 1, k: 1}.", "a": "3/56" }, { "q": "What is prob of picking 1 k, 3 w, and 1 e when five letters picked without replacement from {w: 9, k: 5, e: 3}?", "a": "45/221" }, { "q": "Five letters picked without replacement from {o: 4, b: 1, q: 4}. What is prob of picking 1 o and 4 q?", "a": "2/63" }, { "q": "Five letters picked without replacement from {m: 3, c: 16}. Give prob of picking 4 c and 1 m.", "a": "455/969" }, { "q": "Five letters picked without replacement from {x: 2, i: 4, q: 1, z: 1}. Give prob of picking 2 z, 1 q, and 2 i.", "a": "0" }, { "q": "Five letters picked without replacement from boobbbobbooooobooo. What is prob of picking 4 o and 1 b?", "a": "55/204" }, { "q": "What is prob of picking 2 g and 3 d when five letters picked without replacement from dkkodogkodooxdge?", "a": "1/1092" }, { "q": "Five letters picked without replacement from {n: 4, x: 3, a: 5, m: 1, j: 3}. What is prob of picking 2 x, 1 m, and 2 j?", "a": "3/1456" }, { "q": "Five letters picked without replacement from {r: 8, l: 1, v: 2}. What is prob of picking 3 r and 2 v?", "a": "4/33" }, { "q": "Five letters picked without replacement from cuccuuuucucuc. Give prob of picking 4 u and 1 c.", "a": "70/429" }, { "q": "Five letters picked without replacement from {m: 8, t: 9}. What is prob of picking 5 m?", "a": "2/221" }, { "q": "What is prob of picking 2 v and 3 t when five letters picked without replacement from vsnyht?", "a": "0" }, { "q": "Calculate prob of picking 3 w and 2 r when five letters picked without replacement from wwrtrwrrwr.", "a": "10/63" }, { "q": "What is prob of picking 2 k, 1 x, and 2 n when five letters picked without replacement from {x: 6, n: 5, k: 5}?", "a": "25/182" }, { "q": "What is prob of picking 2 n and 3 q when five letters picked without replacement from nqaqnqnnnnanna?", "a": "2/143" }, { "q": "Five letters picked without replacement from {w: 3, u: 7, o: 5, p: 2}. What is prob of picking 1 o and 4 u?", "a": "25/884" }, { "q": "Five letters picked without replacement from {r: 9, h: 1, v: 1, b: 8}. Give prob of picking 1 v, 2 b, and 2 r.", "a": "28/323" }, { "q": "Calculate prob of picking 1 r and 4 n when five letters picked without replacement from {r: 2, b: 1, n: 4, q: 2}.", "a": "1/63" }, { "q": "Five letters picked without replacement from {x: 12, f: 7}. What is prob of picking 3 f and 2 x?", "a": "385/1938" }, { "q": "What is prob of picking 1 i, 1 l, and 3 t when five letters picked without replacement from {l: 2, o: 1, h: 1, t: 4, m: 3, i: 5}?", "a": "5/546" }, { "q": "Calculate prob of picking 3 r and 2 g when five letters picked without replacement from {g: 9, r: 6}.", "a": "240/1001" }, { "q": "Calculate prob of picking 1 v, 1 e, 2 t, and 1 q when five letters picked without replacement from {t: 2, p: 6, e: 2, q: 3, v: 5}.", "a": "5/1428" }, { "q": "Five letters picked without replacement from {d: 6, g: 8}. What is prob of picking 5 g?", "a": "4/143" }, { "q": "What is prob of picking 1 v, 1 x, 2 g, and 1 f when five letters picked without replacement from {x: 1, v: 5, f: 2, g: 2}?", "a": "5/126" }, { "q": "What is prob of picking 2 u, 1 y, and 2 p when five letters picked without replacement from {c: 4, u: 2, p: 1, y: 1, x: 2, b: 2}?", "a": "0" }, { "q": "Five letters picked without replacement from kwfwefwgdfwwgg. What is prob of picking 1 d, 3 g, and 1 f?", "a": "3/2002" }, { "q": "Five letters picked without replacement from eummugusggmggmue. What is prob of picking 1 m, 1 s, 2 g, and 1 e?", "a": "5/273" }, { "q": "Calculate prob of picking 1 j and 4 p when five letters picked without replacement from {p: 5, j: 1, i: 5, v: 2, x: 1}.", "a": "5/2002" }, { "q": "Calculate prob of picking 1 s, 1 l, 1 j, and 2 e when five letters picked without replacement from {j: 3, s: 3, l: 1, e: 11, b: 2}.", "a": "165/5168" }, { "q": "Five letters picked without replacement from jjjjjjrrjrrjjjrxr. Give prob of picking 1 x and 4 j.", "a": "15/442" }, { "q": "Five letters picked without replacement from rrrnrrrbbbbggrbgbgb. What is prob of picking 4 b and 1 r?", "a": "245/11628" }, { "q": "Five letters picked without replacement from bxdbxxbbdxbbxbdxdx. Give prob of picking 2 b and 3 d.", "a": "1/102" }, { "q": "Five letters picked without replacement from {m: 1, j: 1, f: 11, s: 2}. What is prob of picking 5 f?", "a": "2/13" }, { "q": "Five letters picked without replacement from neyeennennenennen. Give prob of picking 1 n and 4 e.", "a": "45/884" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from {f: 1, d: 1, y: 12, k: 3}.", "a": "198/1547" }, { "q": "Five letters picked without replacement from jfncjgncndn. Give prob of picking 1 j and 4 n.", "a": "1/231" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjjmjjjjmj?", "a": "2/9" }, { "q": "What is prob of picking 1 s and 4 w when five letters picked without replacement from wwswwwwwwwwwwwww?", "a": "5/16" }, { "q": "Five letters picked without replacement from eehehheehhh. What is prob of picking 5 h?", "a": "1/77" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from {t: 11, m: 1}.", "a": "7/12" }, { "q": "Five letters picked without replacement from wfqaaxuq. What is prob of picking 1 x, 1 w, 2 q, and 1 a?", "a": "1/28" }, { "q": "What is prob of picking 1 e, 2 m, 1 g, and 1 o when five letters picked without replacement from {g: 2, m: 1, n: 2, e: 3, o: 8}?", "a": "0" }, { "q": "Five letters picked without replacement from {i: 5, p: 5, o: 10}. What is prob of picking 2 p, 1 i, and 2 o?", "a": "375/2584" }, { "q": "What is prob of picking 2 h, 2 y, and 1 g when five letters picked without replacement from yjyfhhygyy?", "a": "5/126" }, { "q": "What is prob of picking 2 k, 2 l, and 1 m when five letters picked without replacement from lkmlmkxxmlmmmxlxlxl?", "a": "5/646" }, { "q": "Five letters picked without replacement from hmpsmpmppps. Give prob of picking 3 p and 2 m.", "a": "5/77" }, { "q": "Five letters picked without replacement from {b: 14, o: 5}. What is prob of picking 4 o and 1 b?", "a": "35/5814" }, { "q": "Five letters picked without replacement from pftftp. What is prob of picking 1 p, 2 t, and 2 f?", "a": "1/3" }, { "q": "Five letters picked without replacement from {a: 4, n: 1, o: 3, f: 6}. What is prob of picking 2 f and 3 a?", "a": "30/1001" }, { "q": "Calculate prob of picking 3 p, 1 c, and 1 i when five letters picked without replacement from {h: 7, p: 3, c: 1, i: 2, g: 3}.", "a": "1/2184" }, { "q": "What is prob of picking 1 p and 4 n when five letters picked without replacement from {p: 11, n: 4, u: 2}?", "a": "11/6188" }, { "q": "Five letters picked without replacement from uussusssussssuu. What is prob of picking 4 u and 1 s?", "a": "45/1001" }, { "q": "What is prob of picking 4 r and 1 z when five letters picked without replacement from {r: 4, z: 6}?", "a": "1/42" }, { "q": "Five letters picked without replacement from vueuvvvuiwve. What is prob of picking 1 u, 2 v, and 2 e?", "a": "5/132" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {t: 11, a: 8}?", "a": "14/2907" }, { "q": "Five letters picked without replacement from udlyxuuudluuddydl. What is prob of picking 3 l and 2 y?", "a": "1/6188" }, { "q": "Five letters picked without replacement from {i: 6, n: 4, u: 5}. What is prob of picking 1 n, 2 i, and 2 u?", "a": "200/1001" }, { "q": "Five letters picked without replacement from {m: 8, b: 9}. Give prob of picking 4 b and 1 m.", "a": "36/221" }, { "q": "Five letters picked without replacement from ilbblbibllbill. What is prob of picking 3 i and 2 l?", "a": "15/2002" }, { "q": "Five letters picked without replacement from lwlwwwtwlw. Give prob of picking 1 t, 3 l, and 1 w.", "a": "1/42" }, { "q": "Five letters picked without replacement from {w: 9, c: 7}. Give prob of picking 5 w.", "a": "3/104" }, { "q": "Five letters picked without replacement from {g: 10, f: 2, d: 1, k: 3}. Give prob of picking 1 d and 4 g.", "a": "5/104" }, { "q": "Calculate prob of picking 1 x, 3 a, and 1 c when five letters picked without replacement from {c: 4, r: 3, q: 2, w: 1, a: 3, x: 1}.", "a": "2/1001" }, { "q": "What is prob of picking 2 x and 3 d when five letters picked without replacement from {d: 13, x: 4}?", "a": "33/119" }, { "q": "Calculate prob of picking 1 g, 2 c, 1 m, and 1 f when five letters picked without replacement from ggcffcm.", "a": "4/21" }, { "q": "Five letters picked without replacement from vjejefujujoo. What is prob of picking 2 u, 2 j, and 1 e?", "a": "1/66" }, { "q": "Five letters picked without replacement from {w: 8, y: 6}. Give prob of picking 4 y and 1 w.", "a": "60/1001" }, { "q": "Five letters picked without replacement from {d: 3, n: 5, b: 2, x: 1}. Give prob of picking 2 d, 1 x, and 2 b.", "a": "1/154" }, { "q": "Five letters picked without replacement from doduuoou. What is prob of picking 3 o and 2 u?", "a": "3/56" }, { "q": "What is prob of picking 1 o, 1 e, 1 k, and 2 w when five letters picked without replacement from {k: 1, w: 2, o: 1, e: 3}?", "a": "1/7" }, { "q": "Five letters picked without replacement from ccodccdocdooocddco. What is prob of picking 1 c, 1 o, and 3 d?", "a": "5/102" }, { "q": "What is prob of picking 4 g and 1 v when five letters picked without replacement from {v: 4, k: 1, h: 6, g: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from {z: 1, p: 12, j: 3, b: 3, d: 1}. Give prob of picking 2 p and 3 b.", "a": "11/2584" }, { "q": "Calculate prob of picking 2 c, 2 n, and 1 i when five letters picked without replacement from cinninicnc.", "a": "3/14" }, { "q": "Calculate prob of picking 1 l, 3 f, and 1 w when five letters picked without replacement from {f: 4, w: 2, l: 13}.", "a": "26/2907" }, { "q": "Calculate prob of picking 1 v, 2 z, and 2 q when five letters picked without replacement from zvqvsqvqvvzvsvv.", "a": "8/1001" }, { "q": "Five letters picked without replacement from sqqqqs. What is prob of picking 1 s and 4 q?", "a": "1/3" }, { "q": "What is prob of picking 2 g and 3 k when five letters picked without replacement from {g: 2, k: 5}?", "a": "10/21" }, { "q": "Five letters picked without replacement from rruuuuuuu. What is prob of picking 2 r and 3 u?", "a": "5/18" }, { "q": "Calculate prob of picking 1 l, 2 o, 1 a, and 1 x when five letters picked without replacement from {l: 2, a: 1, o: 2, x: 2}.", "a": "4/21" }, { "q": "Five letters picked without replacement from {e: 3, r: 1, p: 6, x: 4, v: 2}. Give prob of picking 1 p, 3 e, and 1 v.", "a": "1/364" }, { "q": "Five letters picked without replacement from wyqwyydqyydwwydwd. Give prob of picking 1 d, 1 q, and 3 w.", "a": "20/1547" }, { "q": "What is prob of picking 4 i and 1 c when five letters picked without replacement from iiciicci?", "a": "15/56" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yytyyyyyty.", "a": "2/9" }, { "q": "Five letters picked without replacement from {e: 4, y: 10}. Give prob of picking 3 e and 2 y.", "a": "90/1001" }, { "q": "Five letters picked without replacement from iimiiimimmememmiyeei. What is prob of picking 2 i and 3 e?", "a": "7/969" }, { "q": "Calculate prob of picking 1 k, 3 o, and 1 e when five letters picked without replacement from {r: 1, k: 2, o: 2, e: 2, t: 12}.", "a": "0" }, { "q": "Calculate prob of picking 1 t, 1 a, 2 n, and 1 f when five letters picked without replacement from {t: 3, a: 1, f: 2, w: 5, i: 1, n: 5}.", "a": "15/1547" }, { "q": "Calculate prob of picking 2 b and 3 i when five letters picked without replacement from {i: 3, e: 4, o: 6, b: 6}.", "a": "5/3876" }, { "q": "Five letters picked without replacement from {r: 3, e: 9}. Give prob of picking 3 r and 2 e.", "a": "1/22" }, { "q": "What is prob of picking 4 s and 1 u when five letters picked without replacement from ssusuvusu?", "a": "2/63" }, { "q": "Five letters picked without replacement from haihyiayhyiaihyihi. Give prob of picking 2 y and 3 a.", "a": "1/1428" }, { "q": "Five letters picked without replacement from {t: 3, x: 4}. Give prob of picking 1 t and 4 x.", "a": "1/7" }, { "q": "Five letters picked without replacement from pcyyphyppcjcecyh. Give prob of picking 1 e, 2 c, 1 p, and 1 h.", "a": "1/91" }, { "q": "Calculate prob of picking 1 y and 4 v when five letters picked without replacement from {v: 6, y: 1, j: 4, e: 2, h: 2, l: 4}.", "a": "5/3876" }, { "q": "Calculate prob of picking 2 e and 3 z when five letters picked without replacement from {z: 4, c: 1, e: 8}.", "a": "112/1287" }, { "q": "Five letters picked without replacement from {v: 3, o: 3, m: 1, i: 1, w: 6, k: 4}. Give prob of picking 2 v, 2 o, and 1 i.", "a": "1/952" }, { "q": "What is prob of picking 2 h and 3 n when five letters picked without replacement from hhhhnshhsnhsshhhs?", "a": "0" }, { "q": "Five letters picked without replacement from dndpdnipdiepnz. What is prob of picking 1 e, 1 d, 1 n, and 2 p?", "a": "18/1001" }, { "q": "What is prob of picking 2 d and 3 k when five letters picked without replacement from {t: 2, e: 3, d: 2, k: 2, s: 1}?", "a": "0" }, { "q": "What is prob of picking 3 q and 2 s when five letters picked without replacement from {r: 4, l: 2, q: 4, s: 6}?", "a": "5/364" }, { "q": "What is prob of picking 1 h, 1 q, and 3 g when five letters picked without replacement from {h: 2, q: 5, g: 13}?", "a": "715/3876" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from hhhahh?", "a": "1/6" }, { "q": "Five letters picked without replacement from gjdbjjjvl. What is prob of picking 1 v, 2 l, and 2 g?", "a": "0" }, { "q": "Five letters picked without replacement from {w: 3, r: 3, h: 1, m: 3, y: 3}. What is prob of picking 1 y, 1 h, 2 m, and 1 r?", "a": "3/143" }, { "q": "Five letters picked without replacement from zuuuzuuubzzuzuzbuub. What is prob of picking 1 b, 3 u, and 1 z?", "a": "60/323" }, { "q": "Five letters picked without replacement from {i: 6, w: 12, t: 2}. Give prob of picking 1 i, 1 t, and 3 w.", "a": "55/323" }, { "q": "Calculate prob of picking 1 h and 4 a when five letters picked without replacement from aaaaaaaaahaaaaeaahae.", "a": "455/1938" }, { "q": "What is prob of picking 2 x, 2 k, and 1 g when five letters picked without replacement from gcgfcxxckkcoc?", "a": "2/1287" }, { "q": "Calculate prob of picking 2 l, 1 x, and 2 u when five letters picked without replacement from xlxxxlllxuiuixxixl.", "a": "10/1071" }, { "q": "Five letters picked without replacement from {u: 5, p: 6}. Give prob of picking 2 p and 3 u.", "a": "25/77" }, { "q": "What is prob of picking 1 d, 3 m, and 1 g when five letters picked without replacement from ddmgmmm?", "a": "8/21" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from wwwwwwffwfwwwfww. What is prob of picking 4 w and 1 f?", "a": "165/364" }, { "q": "Five letters picked without replacement from {f: 1, p: 2, s: 6, n: 1, j: 3}. What is prob of picking 1 n and 4 s?", "a": "5/429" }, { "q": "Five letters picked without replacement from zikdwazkkaakw. What is prob of picking 3 k, 1 z, and 1 d?", "a": "8/1287" }, { "q": "Calculate prob of picking 1 a, 1 e, 2 p, and 1 k when five letters picked without replacement from exexvkxkxpvpavva.", "a": "1/546" }, { "q": "Calculate prob of picking 4 b and 1 w when five letters picked without replacement from bbbbwiiibobibibii.", "a": "5/442" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yccycccyccycyy.", "a": "3/1001" }, { "q": "Calculate prob of picking 1 t and 4 x when five letters picked without replacement from ggtgqgxuugxaxquxt.", "a": "1/3094" }, { "q": "What is prob of picking 2 c, 1 t, 1 a, and 1 k when five letters picked without replacement from {c: 2, o: 2, k: 1, z: 3, a: 1, t: 2}?", "a": "1/231" }, { "q": "Calculate prob of picking 1 f, 2 x, and 2 l when five letters picked without replacement from {e: 1, m: 1, f: 4, x: 4, l: 6}.", "a": "15/182" }, { "q": "Calculate prob of picking 1 v, 2 t, and 2 n when five letters picked without replacement from nbbsbntnnvtbtb.", "a": "9/1001" }, { "q": "Calculate prob of picking 2 y, 1 a, and 2 t when five letters picked without replacement from {t: 6, h: 2, r: 3, y: 2, a: 1}.", "a": "15/2002" }, { "q": "What is prob of picking 2 h, 2 r, and 1 l when five letters picked without replacement from chlrhclcccrrhbccc?", "a": "9/3094" }, { "q": "What is prob of picking 3 m, 1 s, and 1 h when five letters picked without replacement from {m: 8, s: 3, h: 3, o: 4, b: 1}?", "a": "14/323" }, { "q": "Five letters picked without replacement from hhghgghhhhpvvhh. What is prob of picking 2 g and 3 h?", "a": "12/143" }, { "q": "Five letters picked without replacement from kfakrrafkkfr. Give prob of picking 3 k and 2 f.", "a": "1/66" }, { "q": "Five letters picked without replacement from {z: 2, m: 6, y: 1, w: 6}. Give prob of picking 1 y, 2 m, and 2 z.", "a": "5/1001" }, { "q": "Five letters picked without replacement from {k: 4, g: 2, c: 1, d: 3, y: 3}. Give prob of picking 3 k, 1 y, and 1 d.", "a": "4/143" }, { "q": "Five letters picked without replacement from ieyreyyyqq. Give prob of picking 1 r, 1 q, and 3 y.", "a": "2/63" }, { "q": "Five letters picked without replacement from {j: 4, l: 5, z: 1, a: 9}. Give prob of picking 3 a and 2 j.", "a": "14/323" }, { "q": "Five letters picked without replacement from {b: 4, u: 2, q: 9, k: 4}. Give prob of picking 3 b, 1 q, and 1 u.", "a": "2/323" }, { "q": "Five letters picked without replacement from {k: 5, f: 11}. What is prob of picking 3 k and 2 f?", "a": "275/2184" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gbbgggbggggbbbgggbg?", "a": "22/323" }, { "q": "Five letters picked without replacement from {d: 4, e: 2}. Give prob of picking 1 e and 4 d.", "a": "1/3" }, { "q": "What is prob of picking 2 v, 2 i, and 1 e when five letters picked without replacement from vvrvhivhkierhr?", "a": "3/1001" }, { "q": "What is prob of picking 1 b and 4 x when five letters picked without replacement from xxbxxx?", "a": "5/6" }, { "q": "Five letters picked without replacement from {m: 2, c: 1, x: 1, s: 8}. What is prob of picking 2 s, 1 x, 1 c, and 1 m?", "a": "7/99" }, { "q": "Calculate prob of picking 1 x, 2 p, and 2 r when five letters picked without replacement from {x: 5, t: 1, r: 4, p: 4}.", "a": "90/1001" }, { "q": "Five letters picked without replacement from {j: 4, d: 3, t: 1, v: 4}. Give prob of picking 1 t, 1 j, and 3 v.", "a": "2/99" }, { "q": "What is prob of picking 1 u, 3 m, and 1 h when five letters picked without replacement from {b: 6, m: 5, d: 1, u: 2, h: 3}?", "a": "15/1547" }, { "q": "Five letters picked without replacement from ktkzyt. Give prob of picking 2 t, 1 k, 1 z, and 1 y.", "a": "1/3" }, { "q": "Five letters picked without replacement from uuaauuiaaiuiaiuua. What is prob of picking 3 i, 1 u, and 1 a?", "a": "6/221" }, { "q": "Calculate prob of picking 1 r, 2 i, 1 y, and 1 w when five letters picked without replacement from {i: 3, r: 2, w: 1, y: 5, f: 2}.", "a": "10/429" }, { "q": "Five letters picked without replacement from mxxxxxx. What is prob of picking 1 x and 4 m?", "a": "0" }, { "q": "Calculate prob of picking 3 b and 2 v when five letters picked without replacement from vvbvbbb.", "a": "4/7" }, { "q": "Five letters picked without replacement from {c: 11, b: 1, d: 6}. Give prob of picking 3 c and 2 d.", "a": "275/952" }, { "q": "Five letters picked without replacement from qxqxxxxqxxl. What is prob of picking 5 x?", "a": "1/22" }, { "q": "Five letters picked without replacement from {v: 2, p: 3, t: 8, l: 1}. What is prob of picking 1 l, 1 t, 1 p, and 2 v?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {d: 1, k: 7, l: 3, y: 3}. What is prob of picking 1 k, 2 l, 1 y, and 1 d?", "a": "9/286" }, { "q": "Five letters picked without replacement from ssfssssffssssffss. What is prob of picking 4 s and 1 f?", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {j: 1, z: 1, t: 5, o: 1, g: 1, w: 3}. What is prob of picking 1 g and 4 t?", "a": "5/792" }, { "q": "Five letters picked without replacement from aaaaajasjahshaaa. Give prob of picking 1 h, 2 a, and 2 s.", "a": "15/728" }, { "q": "Calculate prob of picking 1 w, 1 a, 2 z, and 1 n when five letters picked without replacement from oozoznzzoozzzwza.", "a": "1/156" }, { "q": "What is prob of picking 1 z and 4 x when five letters picked without replacement from kxkkzxzzkxzzkxkxkk?", "a": "25/8568" }, { "q": "Five letters picked without replacement from lixifllfigfxrl. Give prob of picking 1 g, 3 i, and 1 r.", "a": "1/2002" }, { "q": "Five letters picked without replacement from ooooooomomooooom. What is prob of picking 3 m and 2 o?", "a": "1/56" }, { "q": "Calculate prob of picking 4 q and 1 x when five letters picked without replacement from xkxkxqkkxqkqkq.", "a": "2/1001" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {a: 6}?", "a": "1" }, { "q": "Calculate prob of picking 3 x and 2 c when five letters picked without replacement from {c: 9, x: 6}.", "a": "240/1001" }, { "q": "Five letters picked without replacement from wapwwrdd. Give prob of picking 1 p, 1 w, 2 d, and 1 a.", "a": "3/56" }, { "q": "Five letters picked without replacement from {p: 2, b: 7, d: 10}. What is prob of picking 2 b, 1 p, and 2 d?", "a": "105/646" }, { "q": "What is prob of picking 1 d and 4 r when five letters picked without replacement from rididdidddrddrrii?", "a": "2/1547" }, { "q": "What is prob of picking 1 v and 4 i when five letters picked without replacement from vvivimvmmiiiivviiiim?", "a": "105/1292" }, { "q": "Five letters picked without replacement from {g: 2, a: 13, y: 5}. Give prob of picking 5 y.", "a": "1/15504" }, { "q": "Calculate prob of picking 1 l and 4 b when five letters picked without replacement from blhbblblblbll.", "a": "10/143" }, { "q": "Five letters picked without replacement from vrvvrrvrrrrvrvrr. What is prob of picking 2 v and 3 r?", "a": "75/182" }, { "q": "Five letters picked without replacement from {q: 6, u: 3}. Give prob of picking 3 q and 2 u.", "a": "10/21" }, { "q": "Five letters picked without replacement from {f: 5, i: 5}. What is prob of picking 5 i?", "a": "1/252" }, { "q": "Five letters picked without replacement from {z: 12, g: 6, x: 2}. What is prob of picking 2 z and 3 g?", "a": "55/646" }, { "q": "Calculate prob of picking 1 v, 2 n, and 2 q when five letters picked without replacement from {v: 6, q: 2, n: 3}.", "a": "3/77" }, { "q": "Calculate prob of picking 1 l, 1 v, 1 s, 1 r, and 1 b when five letters picked without replacement from lbvrvvbgbsbl.", "a": "1/33" }, { "q": "Five letters picked without replacement from {f: 4, t: 3, d: 1, b: 4}. Give prob of picking 1 d, 1 f, and 3 t.", "a": "1/198" }, { "q": "What is prob of picking 2 g and 3 a when five letters picked without replacement from aagaaaggagggg?", "a": "140/429" }, { "q": "Calculate prob of picking 1 v, 1 m, and 3 u when five letters picked without replacement from ummuvmmu.", "a": "1/14" }, { "q": "Calculate prob of picking 2 h, 1 r, and 2 v when five letters picked without replacement from {v: 2, n: 2, r: 2, h: 9}.", "a": "24/1001" }, { "q": "Calculate prob of picking 1 y and 4 o when five letters picked without replacement from yyyyooyyyoyooyyoy.", "a": "165/6188" }, { "q": "Calculate prob of picking 4 s and 1 r when five letters picked without replacement from {e: 1, r: 2, s: 6, c: 2, p: 2}.", "a": "10/429" }, { "q": "What is prob of picking 1 c and 4 s when five letters picked without replacement from ppscpssppss?", "a": "5/462" }, { "q": "Calculate prob of picking 3 c, 1 i, and 1 o when five letters picked without replacement from iozricoozzzzziiczzc.", "a": "1/969" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {n: 5, e: 12}?", "a": "198/1547" }, { "q": "Five letters picked without replacement from {p: 1, b: 3, q: 6, w: 9}. Give prob of picking 2 w, 1 q, 1 p, and 1 b.", "a": "18/323" }, { "q": "Calculate prob of picking 2 r, 1 a, 1 w, and 1 z when five letters picked without replacement from {a: 2, z: 4, w: 2, l: 4, r: 8}.", "a": "28/969" }, { "q": "Five letters picked without replacement from iffiiiiiifi. What is prob of picking 4 i and 1 f?", "a": "5/11" }, { "q": "What is prob of picking 4 l and 1 b when five letters picked without replacement from {l: 7, b: 5}?", "a": "175/792" }, { "q": "Calculate prob of picking 2 y, 2 d, and 1 m when five letters picked without replacement from {m: 2, a: 2, y: 5, d: 4, z: 4}.", "a": "30/1547" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from {w: 6, i: 8}?", "a": "4/143" }, { "q": "Calculate prob of picking 4 x and 1 r when five letters picked without replacement from rxrrrrrxrrxxrr.", "a": "5/1001" }, { "q": "What is prob of picking 3 w and 2 v when five letters picked without replacement from {w: 3, v: 16}?", "a": "10/969" }, { "q": "Calculate prob of picking 1 h and 4 t when five letters picked without replacement from hftmhhthttt.", "a": "10/231" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from ttttt.", "a": "1" }, { "q": "Five letters picked without replacement from mmjjjj. What is prob of picking 1 m and 4 j?", "a": "1/3" }, { "q": "Calculate prob of picking 2 f and 3 a when five letters picked without replacement from aaafffafaffffffffff.", "a": "455/5814" }, { "q": "Five letters picked without replacement from {l: 1, x: 4, j: 1, i: 3, z: 4}. What is prob of picking 1 i, 3 z, and 1 l?", "a": "4/429" }, { "q": "Five letters picked without replacement from nnnnnnnnennnnhngnn. Give prob of picking 1 g, 1 h, and 3 n.", "a": "65/1224" }, { "q": "Five letters picked without replacement from ffifiifffffff. Give prob of picking 2 i and 3 f.", "a": "40/143" }, { "q": "What is prob of picking 3 q and 2 l when five letters picked without replacement from {w: 2, q: 9, l: 5}?", "a": "5/26" }, { "q": "Calculate prob of picking 4 z and 1 e when five letters picked without replacement from {e: 1, z: 8, d: 2, y: 1}.", "a": "35/396" }, { "q": "What is prob of picking 2 j and 3 z when five letters picked without replacement from zzjzzzzzzzzjzz?", "a": "10/91" }, { "q": "What is prob of picking 2 h, 1 l, 1 r, and 1 i when five letters picked without replacement from pplhhhriirrhrlh?", "a": "160/3003" }, { "q": "Five letters picked without replacement from xrxrrxrxrrrrxxrxrx. Give prob of picking 2 x and 3 r.", "a": "20/51" }, { "q": "Five letters picked without replacement from hlhlhll. Give prob of picking 3 h and 2 l.", "a": "2/7" }, { "q": "Five letters picked without replacement from hvhrhhhthhtvhtrrht. Give prob of picking 2 h, 2 r, and 1 t.", "a": "6/119" }, { "q": "Five letters picked without replacement from ztckllztzkqkqlkkclq. What is prob of picking 2 t, 1 q, 1 l, and 1 c?", "a": "2/969" }, { "q": "What is prob of picking 1 o and 4 c when five letters picked without replacement from cfffoccfzfbfc?", "a": "1/1287" }, { "q": "Five letters picked without replacement from xlxxxllxlxxxllxccllx. What is prob of picking 4 l and 1 x?", "a": "175/3876" }, { "q": "What is prob of picking 2 i, 2 p, and 1 b when five letters picked without replacement from bibpppiibddppipibppb?", "a": "175/1938" }, { "q": "What is prob of picking 1 z, 1 u, and 3 t when five letters picked without replacement from {z: 4, t: 5, u: 3}?", "a": "5/33" }, { "q": "Calculate prob of picking 3 j and 2 b when five letters picked without replacement from uuubjtuujjujubbtuu.", "a": "1/714" }, { "q": "Calculate prob of picking 2 j, 1 g, and 2 k when five letters picked without replacement from gejjgkogjkogjgjeojie.", "a": "25/5168" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from {x: 3, u: 3, b: 6}?", "a": "1/132" }, { "q": "Calculate prob of picking 3 s and 2 y when five letters picked without replacement from yssysss.", "a": "10/21" }, { "q": "Five letters picked without replacement from {x: 2, m: 5, b: 2}. What is prob of picking 2 b, 2 x, and 1 m?", "a": "5/126" }, { "q": "Calculate prob of picking 4 w and 1 s when five letters picked without replacement from {i: 4, s: 1, w: 7}.", "a": "35/792" }, { "q": "Five letters picked without replacement from ppvpvvvpvvvpp. What is prob of picking 5 v?", "a": "7/429" }, { "q": "Five letters picked without replacement from aaawaaaaaa. Give prob of picking 4 a and 1 w.", "a": "1/2" }, { "q": "Five letters picked without replacement from {g: 2, r: 1, d: 1, v: 2, h: 2, u: 1}. Give prob of picking 1 g, 2 v, 1 r, and 1 h.", "a": "2/63" }, { "q": "Five letters picked without replacement from {f: 1, a: 2, u: 3, t: 2}. Give prob of picking 2 a, 2 t, and 1 f.", "a": "1/56" }, { "q": "Five letters picked without replacement from kvkvnvvnqkkq. What is prob of picking 1 k, 1 q, 2 n, and 1 v?", "a": "4/99" }, { "q": "Calculate prob of picking 3 v and 2 d when five letters picked without replacement from awdwdawvdddvvvdddd.", "a": "2/119" }, { "q": "Five letters picked without replacement from {y: 3, s: 14}. Give prob of picking 1 y and 4 s.", "a": "33/68" }, { "q": "Five letters picked without replacement from toeeotofotetfettferj. Give prob of picking 1 j, 1 f, 1 o, 1 r, and 1 e.", "a": "5/1292" }, { "q": "Five letters picked without replacement from rdhhmdhmmdochmdhohh. Give prob of picking 1 r, 1 o, 1 c, and 2 h.", "a": "7/1938" }, { "q": "What is prob of picking 3 c and 2 u when five letters picked without replacement from {u: 5, c: 8, e: 6}?", "a": "140/2907" }, { "q": "Five letters picked without replacement from cyaacaaaaayyc. What is prob of picking 2 a and 3 c?", "a": "7/429" }, { "q": "Five letters picked without replacement from {m: 2, z: 7, d: 5}. What is prob of picking 1 m and 4 z?", "a": "5/143" }, { "q": "Five letters picked without replacement from bpsemsmbxebepb. What is prob of picking 1 s, 2 e, 1 x, and 1 b?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {n: 4, b: 6, t: 1, z: 3}. Give prob of picking 1 b, 1 t, and 3 z.", "a": "3/1001" }, { "q": "What is prob of picking 5 p when five letters picked without replacement from {p: 7, z: 4}?", "a": "1/22" }, { "q": "Five letters picked without replacement from {a: 4, w: 5, x: 4, p: 4, e: 2, c: 1}. What is prob of picking 1 e, 1 x, and 3 p?", "a": "2/969" }, { "q": "Five letters picked without replacement from fkfykfkkkfffyfwhyh. What is prob of picking 1 f, 1 h, and 3 y?", "a": "1/612" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from llllxlxlxxxx.", "a": "1/132" }, { "q": "Calculate prob of picking 2 n and 3 i when five letters picked without replacement from iiinnniinii.", "a": "5/11" }, { "q": "Five letters picked without replacement from {c: 13, e: 7}. Give prob of picking 4 e and 1 c.", "a": "455/15504" }, { "q": "What is prob of picking 2 l, 1 n, 1 v, and 1 o when five letters picked without replacement from vlvevnveovlvevn?", "a": "2/429" }, { "q": "Five letters picked without replacement from ezbebezebbbzeebzz. Give prob of picking 3 b and 2 e.", "a": "75/1547" }, { "q": "Five letters picked without replacement from mnbbnbmbmmmmm. Give prob of picking 1 m, 2 n, and 2 b.", "a": "14/429" }, { "q": "What is prob of picking 3 w and 2 b when five letters picked without replacement from lwcwwwblwlbccccc?", "a": "5/2184" }, { "q": "What is prob of picking 3 v, 1 m, and 1 d when five letters picked without replacement from {u: 2, r: 4, m: 1, v: 3, d: 1, t: 3}?", "a": "1/2002" }, { "q": "What is prob of picking 2 b and 3 g when five letters picked without replacement from gggbgggggbg?", "a": "2/11" }, { "q": "Five letters picked without replacement from {n: 3, v: 1, x: 3, s: 1, l: 5, q: 4}. What is prob of picking 1 n, 1 q, 1 s, 1 v, and 1 l?", "a": "15/1547" }, { "q": "Five letters picked without replacement from {u: 4, s: 5, v: 4}. What is prob of picking 1 v, 1 s, and 3 u?", "a": "80/1287" }, { "q": "Five letters picked without replacement from {n: 2, q: 12, g: 2}. Give prob of picking 2 g and 3 q.", "a": "55/1092" }, { "q": "What is prob of picking 1 d, 2 m, 1 r, and 1 k when five letters picked without replacement from drdkkkrmmkddokd?", "a": "50/3003" }, { "q": "Five letters picked without replacement from {t: 1, r: 2, w: 4, b: 8}. Give prob of picking 1 r, 3 w, and 1 b.", "a": "64/3003" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 5, q: 3}.", "a": "1/56" }, { "q": "Calculate prob of picking 2 x, 1 g, and 2 e when five letters picked without replacement from {e: 4, v: 2, x: 2, g: 1, o: 3}.", "a": "1/132" }, { "q": "Five letters picked without replacement from {r: 4, p: 8, w: 3, d: 5}. What is prob of picking 1 d and 4 r?", "a": "5/15504" }, { "q": "Five letters picked without replacement from {l: 2, n: 6, k: 2, u: 2, i: 3}. What is prob of picking 2 i, 1 u, and 2 l?", "a": "2/1001" }, { "q": "What is prob of picking 1 a, 1 j, 1 e, 1 w, and 1 y when five letters picked without replacement from {e: 1, a: 2, w: 2, f: 3, j: 2, y: 1}?", "a": "4/231" }, { "q": "Five letters picked without replacement from xdkdslxdxxxddfdlxsk. Give prob of picking 1 k, 1 l, 1 s, and 2 x.", "a": "10/969" }, { "q": "What is prob of picking 1 i, 1 c, 2 l, and 1 z when five letters picked without replacement from ciililzlzilzzxcxzz?", "a": "4/119" }, { "q": "What is prob of picking 1 w, 3 x, and 1 t when five letters picked without replacement from {f: 1, t: 2, w: 3, k: 1, l: 1, x: 6}?", "a": "60/1001" }, { "q": "Five letters picked without replacement from yyyyfyfyfyyyyyfyyy. Give prob of picking 2 f and 3 y.", "a": "13/51" }, { "q": "Five letters picked without replacement from mzdwdmmmwdm. What is prob of picking 4 m and 1 d?", "a": "5/154" }, { "q": "Five letters picked without replacement from nonnnonccnc. Give prob of picking 4 n and 1 c.", "a": "15/154" }, { "q": "Five letters picked without replacement from zrzmtetrer. Give prob of picking 3 r, 1 m, and 1 z.", "a": "1/126" }, { "q": "Five letters picked without replacement from icciimcmuimmimiium. Give prob of picking 1 c, 2 i, and 2 u.", "a": "1/136" }, { "q": "Five letters picked without replacement from xxxvxxxxxxxxvx. What is prob of picking 3 x and 2 v?", "a": "10/91" }, { "q": "Calculate prob of picking 1 o and 4 k when five letters picked without replacement from khookokkohhk.", "a": "5/198" }, { "q": "Five letters picked without replacement from {j: 16, i: 1, w: 2}. Give prob of picking 1 w, 1 j, and 3 i.", "a": "0" }, { "q": "Five letters picked without replacement from {a: 7, o: 6, n: 5, h: 1}. What is prob of picking 5 a?", "a": "7/3876" }, { "q": "Five letters picked without replacement from otyoyhoyttttzhw. Give prob of picking 4 t and 1 h.", "a": "10/3003" }, { "q": "Five letters picked without replacement from mbvkvbubbubmbkusuvmb. Give prob of picking 3 u and 2 m.", "a": "1/1292" }, { "q": "Calculate prob of picking 4 r and 1 c when five letters picked without replacement from {l: 5, r: 4, c: 3}.", "a": "1/264" }, { "q": "Five letters picked without replacement from ithwffwiwtjtjwtjtff. What is prob of picking 1 i, 1 f, 2 w, and 1 h?", "a": "4/969" }, { "q": "Five letters picked without replacement from iiiiiiiii. Give prob of picking 5 i.", "a": "1" }, { "q": "Five letters picked without replacement from {m: 5, e: 5, y: 2}. What is prob of picking 1 y, 2 e, and 2 m?", "a": "25/99" }, { "q": "What is prob of picking 1 z, 1 x, 1 o, 1 d, and 1 g when five letters picked without replacement from {o: 6, x: 1, e: 1, d: 5, z: 3, g: 3}?", "a": "15/646" }, { "q": "Five letters picked without replacement from ddeeeeeeedde. Give prob of picking 4 e and 1 d.", "a": "35/99" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from qqqqqqsqqq.", "a": "1/2" }, { "q": "Calculate prob of picking 1 m and 4 p when five letters picked without replacement from {m: 5, p: 12}.", "a": "2475/6188" }, { "q": "What is prob of picking 2 e, 1 c, 1 s, and 1 t when five letters picked without replacement from {c: 2, t: 4, s: 2, e: 4, k: 1, d: 1}?", "a": "48/1001" }, { "q": "Five letters picked without replacement from {a: 10, g: 3, q: 3, h: 3}. What is prob of picking 2 a, 1 q, 1 g, and 1 h?", "a": "135/1292" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from eeieeiiieiieiii?", "a": "2/1001" }, { "q": "Five letters picked without replacement from ooooqoqooqq. What is prob of picking 4 q and 1 o?", "a": "1/66" }, { "q": "Five letters picked without replacement from aoaaaao. Give prob of picking 5 a.", "a": "1/21" }, { "q": "Five letters picked without replacement from rxuud. What is prob of picking 1 x, 2 r, and 2 u?", "a": "0" }, { "q": "Five letters picked without replacement from {v: 2, q: 6, f: 3, m: 3, x: 1, e: 5}. Give prob of picking 3 f, 1 x, and 1 q.", "a": "1/2584" }, { "q": "Calculate prob of picking 1 o, 3 r, and 1 h when five letters picked without replacement from pppooprrpphprphp.", "a": "1/1092" }, { "q": "Calculate prob of picking 4 s and 1 q when five letters picked without replacement from tskkkqkqsa.", "a": "0" }, { "q": "What is prob of picking 1 j and 4 s when five letters picked without replacement from jssjxjsxsxxj?", "a": "1/198" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from tttztzzzzttztztz.", "a": "1/78" }, { "q": "What is prob of picking 4 h and 1 y when five letters picked without replacement from hhhyyhhyyhhyh?", "a": "350/1287" }, { "q": "Five letters picked without replacement from {w: 12, i: 1}. Give prob of picking 4 w and 1 i.", "a": "5/13" }, { "q": "Calculate prob of picking 2 k and 3 s when five letters picked without replacement from ssksssks.", "a": "5/14" }, { "q": "Calculate prob of picking 3 z, 1 v, and 1 k when five letters picked without replacement from {k: 3, v: 2, w: 2, z: 10}.", "a": "180/1547" }, { "q": "Five letters picked without replacement from hxhaxaaaaxahhy. What is prob of picking 3 a, 1 h, and 1 x?", "a": "120/1001" }, { "q": "Five letters picked without replacement from eesee. What is prob of picking 4 e and 1 s?", "a": "1" }, { "q": "Calculate prob of picking 1 n and 4 b when five letters picked without replacement from {h: 2, n: 3, b: 5}.", "a": "5/84" }, { "q": "Five letters picked without replacement from {x: 10, o: 2}. What is prob of picking 5 x?", "a": "7/22" }, { "q": "Calculate prob of picking 1 a and 4 g when five letters picked without replacement from agggaaggaaaggaga.", "a": "5/39" }, { "q": "Five letters picked without replacement from {w: 8, n: 10}. Give prob of picking 4 w and 1 n.", "a": "25/306" }, { "q": "Five letters picked without replacement from xddhhhddxddd. Give prob of picking 1 d, 2 h, and 2 x.", "a": "7/264" }, { "q": "What is prob of picking 1 h and 4 k when five letters picked without replacement from {d: 2, k: 8, h: 5}?", "a": "50/429" }, { "q": "Five letters picked without replacement from {z: 5, j: 10}. What is prob of picking 2 j and 3 z?", "a": "150/1001" }, { "q": "Five letters picked without replacement from tttqttqtqqqtttqttqtt. Give prob of picking 5 t.", "a": "429/5168" }, { "q": "Five letters picked without replacement from {q: 4, n: 1, f: 5, v: 4}. Give prob of picking 3 v, 1 q, and 1 n.", "a": "8/1001" }, { "q": "Five letters picked without replacement from fkfzkqr. Give prob of picking 3 q, 1 r, and 1 k.", "a": "0" }, { "q": "Calculate prob of picking 1 p, 3 a, and 1 x when five letters picked without replacement from {a: 3, p: 1, x: 2}.", "a": "1/3" }, { "q": "What is prob of picking 2 x, 1 l, and 2 s when five letters picked without replacement from yyxyysllllllslysxl?", "a": "1/357" }, { "q": "What is prob of picking 1 s, 2 b, and 2 x when five letters picked without replacement from xbxhasxsab?", "a": "1/42" }, { "q": "What is prob of picking 4 r and 1 o when five letters picked without replacement from {b: 1, o: 2, s: 5, r: 8}?", "a": "5/156" }, { "q": "What is prob of picking 4 i and 1 r when five letters picked without replacement from hinniirdhdnrihdrhdh?", "a": "1/3876" }, { "q": "Five letters picked without replacement from iwmwimwivk. Give prob of picking 3 i and 2 w.", "a": "1/84" }, { "q": "What is prob of picking 1 b, 1 d, and 3 f when five letters picked without replacement from {u: 4, w: 3, f: 3, b: 3, c: 2, d: 2}?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {k: 1, n: 3, h: 2, a: 3, e: 3}. Give prob of picking 1 h, 3 n, and 1 a.", "a": "1/132" }, { "q": "Calculate prob of picking 1 v, 1 e, 2 q, and 1 z when five letters picked without replacement from vezqbovoqeeoeeqeqz.", "a": "2/119" }, { "q": "What is prob of picking 1 p and 4 s when five letters picked without replacement from {i: 1, s: 8, p: 2, t: 1}?", "a": "35/198" }, { "q": "Five letters picked without replacement from atwktwtcktkqqtww. Give prob of picking 1 w, 2 t, 1 k, and 1 a.", "a": "5/182" }, { "q": "Five letters picked without replacement from bbbbbbbbbbbbtbbb. Give prob of picking 5 b.", "a": "11/16" }, { "q": "Calculate prob of picking 2 e, 1 j, and 2 q when five letters picked without replacement from {z: 3, k: 1, g: 6, e: 2, j: 3, q: 2}.", "a": "3/6188" }, { "q": "What is prob of picking 4 f and 1 o when five letters picked without replacement from fffffoffftftfffofff?", "a": "455/1938" }, { "q": "Five letters picked without replacement from {p: 2, k: 1, f: 5, q: 2}. What is prob of picking 1 q, 1 p, and 3 f?", "a": "10/63" }, { "q": "Five letters picked without replacement from nnnaaagnagaaaaa. What is prob of picking 1 a and 4 n?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {k: 1, e: 4, r: 12}. Give prob of picking 1 k, 1 r, and 3 e.", "a": "12/1547" }, { "q": "Five letters picked without replacement from {c: 5, i: 1, m: 5, a: 5, j: 4}. What is prob of picking 1 c, 1 j, 2 a, and 1 i?", "a": "25/1938" }, { "q": "Calculate prob of picking 2 l and 3 z when five letters picked without replacement from {z: 10, l: 6}.", "a": "75/182" }, { "q": "Five letters picked without replacement from tttvttvvtvvvtt. What is prob of picking 2 v and 3 t?", "a": "60/143" }, { "q": "Five letters picked without replacement from uuwqyszwwwz. What is prob of picking 2 w, 1 s, and 2 u?", "a": "1/77" }, { "q": "What is prob of picking 2 j, 1 e, and 2 f when five letters picked without replacement from {z: 5, c: 7, e: 1, j: 2, f: 3, q: 2}?", "a": "1/5168" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from bbtttbbbttbtbbbbtb?", "a": "1/408" }, { "q": "Five letters picked without replacement from uurkukthkrkrkkdu. Give prob of picking 1 d, 1 t, 1 k, 1 r, and 1 u.", "a": "3/182" }, { "q": "Five letters picked without replacement from {w: 8, i: 2, v: 5}. What is prob of picking 4 w and 1 i?", "a": "20/429" }, { "q": "What is prob of picking 2 w and 3 e when five letters picked without replacement from wwewee?", "a": "1/2" }, { "q": "Calculate prob of picking 2 r and 3 x when five letters picked without replacement from rrrxxxxrxrrxrxxrxxrr.", "a": "225/646" }, { "q": "Five letters picked without replacement from nunununnn. Give prob of picking 5 u.", "a": "0" }, { "q": "Calculate prob of picking 2 x and 3 i when five letters picked without replacement from {x: 3, i: 7}.", "a": "5/12" }, { "q": "What is prob of picking 4 d and 1 y when five letters picked without replacement from {y: 3, d: 5, u: 2}?", "a": "5/84" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from hnnnnnnhnnnnnnnh?", "a": "33/112" }, { "q": "What is prob of picking 1 w, 1 j, and 3 x when five letters picked without replacement from owxxxkjwwx?", "a": "1/21" }, { "q": "Five letters picked without replacement from ezezizzzzziziz. What is prob of picking 4 z and 1 i?", "a": "27/143" }, { "q": "Five letters picked without replacement from {a: 1, g: 3, t: 3, r: 5, w: 2}. Give prob of picking 1 w and 4 r.", "a": "5/1001" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from dddvddddvdvddd?", "a": "3/13" }, { "q": "Calculate prob of picking 4 q and 1 e when five letters picked without replacement from eeqeqeeqqqeqeqeeq.", "a": "45/442" }, { "q": "Five letters picked without replacement from jjljljljlljjllj. What is prob of picking 2 l and 3 j?", "a": "56/143" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from cucoocoeazocou.", "a": "0" }, { "q": "Five letters picked without replacement from {d: 3, u: 1, o: 4, p: 4, q: 7}. What is prob of picking 1 d, 3 q, and 1 p?", "a": "35/969" }, { "q": "Five letters picked without replacement from cukkukkk. What is prob of picking 1 c and 4 k?", "a": "5/56" }, { "q": "What is prob of picking 3 p, 1 a, and 1 x when five letters picked without replacement from {a: 6, x: 1, p: 5, t: 1}?", "a": "20/429" }, { "q": "Five letters picked without replacement from krrrurrurukuurrrrkku. What is prob of picking 4 r and 1 u?", "a": "105/1292" }, { "q": "Five letters picked without replacement from {l: 5, r: 1}. Give prob of picking 1 r and 4 l.", "a": "5/6" }, { "q": "Five letters picked without replacement from hzrhzhrkzzhh. Give prob of picking 2 r, 2 h, and 1 z.", "a": "5/99" }, { "q": "Five letters picked without replacement from ggklssllszkllkgccklz. Give prob of picking 1 c, 2 k, and 2 z.", "a": "1/1292" }, { "q": "Five letters picked without replacement from ddmmmdmmdddmdmmd. Give prob of picking 4 m and 1 d.", "a": "5/39" }, { "q": "What is prob of picking 2 g, 1 x, and 2 c when five letters picked without replacement from xgxggxggcggggccggcg?", "a": "33/323" }, { "q": "What is prob of picking 2 v and 3 t when five letters picked without replacement from tvbttttbvttvtv?", "a": "24/143" }, { "q": "Five letters picked without replacement from rfyyry. What is prob of picking 2 r and 3 y?", "a": "1/6" }, { "q": "Calculate prob of picking 1 d, 1 v, 1 m, and 2 p when five letters picked without replacement from pvdvpvdmvvv.", "a": "2/77" }, { "q": "Five letters picked without replacement from uupppmmwtnpmntm. Give prob of picking 2 n, 2 p, and 1 t.", "a": "4/1001" }, { "q": "Calculate prob of picking 4 r and 1 t when five letters picked without replacement from rttvrttrrvtt.", "a": "1/132" }, { "q": "Five letters picked without replacement from {o: 7, l: 1, u: 1, a: 3, w: 6, b: 2}. Give prob of picking 3 w and 2 a.", "a": "5/1292" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from {n: 12, i: 2}?", "a": "36/91" }, { "q": "Calculate prob of picking 1 z, 2 v, and 2 e when five letters picked without replacement from zmzmummzzeevyvzmym.", "a": "5/8568" }, { "q": "Five letters picked without replacement from {w: 6, x: 9, q: 2}. Give prob of picking 2 q, 2 x, and 1 w.", "a": "54/1547" }, { "q": "Five letters picked without replacement from {m: 1, p: 9}. What is prob of picking 5 p?", "a": "1/2" }, { "q": "Five letters picked without replacement from {l: 1, b: 4, p: 4, k: 2, x: 1, m: 5}. What is prob of picking 2 m and 3 b?", "a": "10/1547" }, { "q": "Calculate prob of picking 3 w and 2 s when five letters picked without replacement from {s: 3, w: 4, v: 4}.", "a": "2/77" }, { "q": "Five letters picked without replacement from eeeqeeeqqfeeeeefqf. Give prob of picking 5 e.", "a": "11/204" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from {d: 1, o: 8}.", "a": "4/9" }, { "q": "What is prob of picking 4 m and 1 r when five letters picked without replacement from {r: 6, m: 8}?", "a": "30/143" }, { "q": "Five letters picked without replacement from fffgfffffggffgggggf. Give prob of picking 2 g and 3 f.", "a": "385/969" }, { "q": "What is prob of picking 1 b, 2 q, 1 s, and 1 v when five letters picked without replacement from cqssbcsmcscvsvmqssss?", "a": "3/2584" }, { "q": "Calculate prob of picking 2 r and 3 y when five letters picked without replacement from {i: 3, c: 2, r: 5, y: 6}.", "a": "25/546" }, { "q": "Five letters picked without replacement from kwwkkwowkkkk. Give prob of picking 3 w, 1 k, and 1 o.", "a": "7/198" }, { "q": "Five letters picked without replacement from {e: 1, n: 9, z: 8, v: 2}. Give prob of picking 1 n and 4 z.", "a": "105/2584" }, { "q": "What is prob of picking 1 v and 4 m when five letters picked without replacement from mvmvhmvvvvm?", "a": "1/77" }, { "q": "Five letters picked without replacement from {t: 1, p: 5, g: 7}. Give prob of picking 1 t, 1 g, and 3 p.", "a": "70/1287" }, { "q": "Five letters picked without replacement from rtttrtrrytrctctcyctc. What is prob of picking 1 r, 3 t, and 1 c?", "a": "175/1938" }, { "q": "Calculate prob of picking 1 m and 4 g when five letters picked without replacement from {a: 2, l: 5, g: 4, u: 2, c: 2, m: 1}.", "a": "1/4368" }, { "q": "Five letters picked without replacement from {t: 5, e: 8}. What is prob of picking 2 e and 3 t?", "a": "280/1287" }, { "q": "Five letters picked without replacement from {f: 1, h: 8, n: 4}. What is prob of picking 2 n and 3 h?", "a": "112/429" }, { "q": "Five letters picked without replacement from {l: 4, z: 1, b: 2, x: 1, o: 5}. What is prob of picking 2 b, 1 x, 1 o, and 1 z?", "a": "5/1287" }, { "q": "Five letters picked without replacement from {h: 1, a: 7, m: 5, d: 3, g: 1}. What is prob of picking 1 h, 3 d, and 1 g?", "a": "1/6188" }, { "q": "Five letters picked without replacement from ahfyhfhflwl. Give prob of picking 1 w, 1 y, 2 f, and 1 h.", "a": "3/154" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {m: 10}?", "a": "1" }, { "q": "Calculate prob of picking 3 l, 1 k, and 1 i when five letters picked without replacement from fldkdykiylfkkl.", "a": "2/1001" }, { "q": "Five letters picked without replacement from {i: 1, l: 8, f: 6}. What is prob of picking 1 i and 4 f?", "a": "5/1001" }, { "q": "Five letters picked without replacement from orirnhhjjjhnhjnhonho. What is prob of picking 2 j, 2 r, and 1 i?", "a": "1/2584" }, { "q": "Five letters picked without replacement from {i: 2, u: 10, o: 1, t: 2, z: 3, j: 1}. Give prob of picking 1 z, 1 i, 2 t, and 1 j.", "a": "1/1938" }, { "q": "Calculate prob of picking 1 w, 2 a, and 2 n when five letters picked without replacement from awwwnanawwaawa.", "a": "45/1001" }, { "q": "Calculate prob of picking 3 d and 2 q when five letters picked without replacement from dqddqddqqqddq.", "a": "175/429" }, { "q": "Calculate prob of picking 2 f, 2 h, and 1 w when five letters picked without replacement from whwhwwwwhhhhwfhwwhhf.", "a": "27/1292" }, { "q": "What is prob of picking 1 d, 1 g, 2 s, and 1 e when five letters picked without replacement from vslegsvgds?", "a": "1/42" }, { "q": "Five letters picked without replacement from ndnnllnldnddedednl. Give prob of picking 2 e, 2 l, and 1 n.", "a": "1/238" }, { "q": "What is prob of picking 1 e, 2 s, and 2 w when five letters picked without replacement from ssxeeshwxswssxse?", "a": "3/208" }, { "q": "Five letters picked without replacement from {a: 4, f: 7}. What is prob of picking 4 a and 1 f?", "a": "1/66" }, { "q": "Five letters picked without replacement from bxxbbxxqbbxxqbqqq. What is prob of picking 5 q?", "a": "1/6188" }, { "q": "Calculate prob of picking 2 o and 3 m when five letters picked without replacement from ymzozeompmzyzzze.", "a": "1/4368" }, { "q": "Calculate prob of picking 2 h, 2 q, and 1 l when five letters picked without replacement from {t: 4, d: 2, q: 2, l: 2, w: 1, h: 4}.", "a": "4/1001" }, { "q": "What is prob of picking 1 o, 1 b, 1 p, 1 t, and 1 q when five letters picked without replacement from qnptnnnnpnbnopntp?", "a": "2/1547" }, { "q": "Calculate prob of picking 2 n and 3 p when five letters picked without replacement from nnnnpnnnpnnpnpnn.", "a": "11/182" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjqjjqjqqq?", "a": "1/252" }, { "q": "Five letters picked without replacement from {h: 3, n: 12}. What is prob of picking 5 n?", "a": "24/91" }, { "q": "What is prob of picking 1 u and 4 a when five letters picked without replacement from {u: 2, a: 7}?", "a": "5/9" }, { "q": "Five letters picked without replacement from doojjiiodocodi. What is prob of picking 4 o and 1 c?", "a": "5/2002" }, { "q": "Five letters picked without replacement from {d: 9, k: 3, u: 1, h: 1, i: 1}. What is prob of picking 5 d?", "a": "6/143" }, { "q": "Five letters picked without replacement from {b: 18, l: 2}. What is prob of picking 2 l and 3 b?", "a": "1/19" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {h: 2, g: 5}?", "a": "1/21" }, { "q": "Calculate prob of picking 1 e, 1 s, 2 d, and 1 t when five letters picked without replacement from {v: 1, s: 3, t: 1, e: 1, d: 3}.", "a": "1/14" }, { "q": "Five letters picked without replacement from lllllllldll. What is prob of picking 1 d and 4 l?", "a": "5/11" }, { "q": "Five letters picked without replacement from {i: 1, p: 4, g: 2, s: 5, u: 2, w: 6}. What is prob of picking 3 s and 2 w?", "a": "25/2584" }, { "q": "Five letters picked without replacement from {m: 8, q: 3, a: 5, g: 2}. What is prob of picking 2 q, 1 a, and 2 g?", "a": "5/2856" }, { "q": "Five letters picked without replacement from frrddgfrrrrdrlflddrl. Give prob of picking 1 r, 1 l, 1 d, and 2 f.", "a": "15/646" }, { "q": "What is prob of picking 3 z, 1 f, and 1 g when five letters picked without replacement from gzggzgffffzz?", "a": "8/99" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sssssssffsssfsffsfs?", "a": "143/1292" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 5, r: 3}.", "a": "1/56" }, { "q": "Five letters picked without replacement from qqfwqbqqqbqfbfq. Give prob of picking 2 b, 2 q, and 1 w.", "a": "4/143" }, { "q": "Five letters picked without replacement from {z: 2, w: 5, p: 4}. What is prob of picking 1 z, 3 p, and 1 w?", "a": "20/231" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from pqpqqwqwpwppwqqppq?", "a": "1/408" }, { "q": "Calculate prob of picking 1 n and 4 m when five letters picked without replacement from {n: 8, m: 10}.", "a": "10/51" }, { "q": "What is prob of picking 2 w and 3 k when five letters picked without replacement from {k: 7, w: 2}?", "a": "5/18" }, { "q": "Calculate prob of picking 4 a and 1 p when five letters picked without replacement from aaaaapppappaaappa.", "a": "105/442" }, { "q": "Five letters picked without replacement from meneemkmenmemmenemne. Give prob of picking 1 k, 1 n, and 3 m.", "a": "35/3876" }, { "q": "Five letters picked without replacement from {n: 2, l: 1, r: 1, h: 4, f: 3, b: 1}. What is prob of picking 2 f, 1 r, 1 n, and 1 b?", "a": "1/132" }, { "q": "Five letters picked without replacement from vvvvvvcvvcc. What is prob of picking 3 v and 2 c?", "a": "4/11" }, { "q": "Calculate prob of picking 1 f and 4 z when five letters picked without replacement from zrffzrfzfizz.", "a": "5/198" }, { "q": "Calculate prob of picking 2 x, 2 j, and 1 m when five letters picked without replacement from {m: 1, j: 8, x: 3, g: 5}.", "a": "3/221" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {c: 5, e: 13}?", "a": "143/952" }, { "q": "Calculate prob of picking 2 n and 3 y when five letters picked without replacement from {q: 3, t: 1, b: 3, y: 10, n: 2, w: 1}.", "a": "5/646" }, { "q": "Five letters picked without replacement from aauuuuauaupaaau. Give prob of picking 2 u, 2 a, and 1 p.", "a": "21/143" }, { "q": "Five letters picked without replacement from gniiiiiggiigii. What is prob of picking 3 i and 2 g?", "a": "36/143" }, { "q": "Calculate prob of picking 4 p and 1 g when five letters picked without replacement from {g: 3, p: 12}.", "a": "45/91" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {k: 2, m: 8, x: 4}?", "a": "4/143" }, { "q": "Calculate prob of picking 3 s, 1 g, and 1 l when five letters picked without replacement from gslsgsss.", "a": "5/14" }, { "q": "Five letters picked without replacement from {s: 10, r: 2}. What is prob of picking 5 s?", "a": "7/22" }, { "q": "Five letters picked without replacement from xxxxxxbxxbxx. What is prob of picking 2 b and 3 x?", "a": "5/33" }, { "q": "Calculate prob of picking 4 e and 1 x when five letters picked without replacement from {x: 7, e: 8}.", "a": "70/429" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {c: 7, w: 1}?", "a": "3/8" }, { "q": "Five letters picked without replacement from {s: 7, d: 2}. What is prob of picking 1 d and 4 s?", "a": "5/9" }, { "q": "Calculate prob of picking 2 s, 1 o, and 2 a when five letters picked without replacement from {a: 6, o: 2, s: 4}.", "a": "5/22" }, { "q": "What is prob of picking 1 v, 1 b, 1 c, and 2 u when five letters picked without replacement from {v: 2, c: 1, i: 1, m: 1, b: 4, u: 5}?", "a": "40/1001" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {j: 8}?", "a": "1" }, { "q": "Five letters picked without replacement from ooaaaccoo. What is prob of picking 2 o, 2 c, and 1 a?", "a": "1/7" }, { "q": "Calculate prob of picking 1 s and 4 z when five letters picked without replacement from zszzzzz.", "a": "5/7" }, { "q": "What is prob of picking 1 p, 1 w, 1 k, and 2 a when five letters picked without replacement from {w: 5, q: 1, a: 3, k: 3, g: 2, p: 5}?", "a": "25/1292" }, { "q": "Five letters picked without replacement from ffdfddfddddd. Give prob of picking 5 d.", "a": "7/99" }, { "q": "Five letters picked without replacement from {p: 3, i: 1, w: 5, c: 3, a: 2}. What is prob of picking 2 p, 1 i, and 2 w?", "a": "15/1001" }, { "q": "What is prob of picking 2 p, 1 j, and 2 v when five letters picked without replacement from {p: 2, v: 7, j: 4}?", "a": "28/429" }, { "q": "Five letters picked without replacement from {v: 1, k: 2, c: 1, a: 5, p: 2, t: 3}. What is prob of picking 1 c, 1 k, 2 p, and 1 t?", "a": "3/1001" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {c: 9, l: 10}.", "a": "7/323" }, { "q": "Calculate prob of picking 4 y and 1 x when five letters picked without replacement from jxxjjyxyxjxjxjjyyjj.", "a": "1/1938" }, { "q": "Five letters picked without replacement from ettekkteet. What is prob of picking 2 k, 1 e, and 2 t?", "a": "2/21" }, { "q": "Calculate prob of picking 2 i and 3 k when five letters picked without replacement from iikiffifiiiikiiifik.", "a": "11/1938" }, { "q": "Calculate prob of picking 1 a, 2 h, 1 n, and 1 i when five letters picked without replacement from {z: 1, i: 6, a: 3, n: 1, h: 6, v: 3}.", "a": "45/2584" }, { "q": "What is prob of picking 1 m and 4 n when five letters picked without replacement from {n: 5, m: 2}?", "a": "10/21" }, { "q": "Five letters picked without replacement from dvvvdvvvddd. Give prob of picking 4 v and 1 d.", "a": "25/154" }, { "q": "Five letters picked without replacement from {w: 1, t: 1, b: 7}. What is prob of picking 3 b and 2 t?", "a": "0" }, { "q": "What is prob of picking 2 i, 1 k, and 2 o when five letters picked without replacement from {a: 2, t: 6, i: 3, k: 1, o: 4}?", "a": "3/728" }, { "q": "Calculate prob of picking 3 z, 1 n, and 1 q when five letters picked without replacement from {e: 5, n: 1, o: 1, q: 2, a: 1, z: 6}.", "a": "5/546" }, { "q": "Five letters picked without replacement from {d: 13, g: 4}. What is prob of picking 3 d and 2 g?", "a": "33/119" }, { "q": "What is prob of picking 1 k, 3 x, and 1 v when five letters picked without replacement from xvvxgggxxxxxxgkxvvgx?", "a": "10/323" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from qqqqqcq?", "a": "2/7" }, { "q": "Five letters picked without replacement from {c: 6, i: 8}. What is prob of picking 4 i and 1 c?", "a": "30/143" }, { "q": "Five letters picked without replacement from {p: 4, m: 3, e: 3, o: 3, j: 3}. Give prob of picking 1 j, 2 p, 1 e, and 1 o.", "a": "27/728" }, { "q": "Five letters picked without replacement from rphppppnpnpppprhp. Give prob of picking 1 h, 3 p, and 1 n.", "a": "165/1547" }, { "q": "Calculate prob of picking 4 n and 1 o when five letters picked without replacement from {o: 1, n: 5, x: 7}.", "a": "5/1287" }, { "q": "Calculate prob of picking 2 y, 1 d, and 2 g when five letters picked without replacement from {y: 2, g: 2, r: 3, d: 1, k: 4}.", "a": "1/792" }, { "q": "Five letters picked without replacement from nwkwzvbz. Give prob of picking 2 z, 1 k, 1 v, and 1 b.", "a": "1/56" }, { "q": "Five letters picked without replacement from xoxotrotpgrroox. What is prob of picking 1 p, 3 r, and 1 t?", "a": "2/3003" }, { "q": "Calculate prob of picking 2 a and 3 t when five letters picked without replacement from {a: 6, t: 11}.", "a": "2475/6188" }, { "q": "What is prob of picking 1 x, 2 k, and 2 b when five letters picked without replacement from bddbxkkbkkktdd?", "a": "15/1001" }, { "q": "Calculate prob of picking 1 u, 2 b, and 2 y when five letters picked without replacement from ubyuuubuyuuubuubuuy.", "a": "6/323" }, { "q": "What is prob of picking 2 z and 3 a when five letters picked without replacement from zzzazzazzaazzzzzzzz?", "a": "35/969" }, { "q": "Five letters picked without replacement from {j: 13, i: 4}. What is prob of picking 3 i and 2 j?", "a": "6/119" }, { "q": "What is prob of picking 1 e, 3 x, and 1 k when five letters picked without replacement from pypleexkppkxkkxky?", "a": "5/3094" }, { "q": "Five letters picked without replacement from {t: 1, e: 15}. Give prob of picking 4 e and 1 t.", "a": "5/16" }, { "q": "Five letters picked without replacement from qyqqxxqxqqqyqyqxqqq. Give prob of picking 1 x and 4 q.", "a": "55/323" }, { "q": "Five letters picked without replacement from ekyyybedkdwkkby. Give prob of picking 2 k, 2 e, and 1 d.", "a": "4/1001" }, { "q": "Five letters picked without replacement from nnnnvnnvvnnvvnvnn. Give prob of picking 1 n and 4 v.", "a": "165/6188" }, { "q": "Five letters picked without replacement from {w: 1, e: 3, g: 5, n: 3}. Give prob of picking 2 n and 3 e.", "a": "1/264" }, { "q": "Five letters picked without replacement from {v: 5, e: 1, t: 1, c: 5, o: 8}. What is prob of picking 1 c, 1 t, 2 v, and 1 e?", "a": "25/7752" }, { "q": "Five letters picked without replacement from {v: 3, o: 13, p: 4}. What is prob of picking 3 v and 2 p?", "a": "1/2584" }, { "q": "What is prob of picking 4 s and 1 d when five letters picked without replacement from sdsdssssssdddsdddsd?", "a": "105/646" }, { "q": "Five letters picked without replacement from {g: 10, j: 7, n: 3}. What is prob of picking 2 g and 3 j?", "a": "525/5168" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from iiiiiiiiijii?", "a": "7/12" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from ttttttctttt.", "a": "6/11" }, { "q": "Calculate prob of picking 3 u and 2 c when five letters picked without replacement from uuuucccu.", "a": "15/28" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from qququqqqqqqquqq?", "a": "24/91" }, { "q": "What is prob of picking 1 o, 1 d, and 3 r when five letters picked without replacement from {f: 1, r: 4, t: 1, d: 2, o: 2, b: 1}?", "a": "8/231" }, { "q": "Five letters picked without replacement from ooofoffofbbbofoffo. What is prob of picking 1 b, 1 o, and 3 f?", "a": "5/51" }, { "q": "Calculate prob of picking 3 s and 2 j when five letters picked without replacement from mhhtttthjsjjhjhssjhh.", "a": "5/7752" }, { "q": "What is prob of picking 3 e and 2 m when five letters picked without replacement from {t: 3, e: 3, w: 1, j: 3, m: 3, u: 1}?", "a": "3/2002" }, { "q": "Five letters picked without replacement from zwwuawwuuqw. What is prob of picking 1 u, 3 z, and 1 w?", "a": "0" }, { "q": "Calculate prob of picking 2 n and 3 s when five letters picked without replacement from ssnsns.", "a": "2/3" }, { "q": "Five letters picked without replacement from {l: 3, j: 4, d: 8, i: 4, q: 1}. Give prob of picking 2 l, 2 i, and 1 j.", "a": "3/646" }, { "q": "Five letters picked without replacement from nuiuiuninuuuiuuuuu. What is prob of picking 2 n, 1 u, and 2 i?", "a": "11/476" }, { "q": "Five letters picked without replacement from bfbfffbfbfbfbbfff. What is prob of picking 4 b and 1 f?", "a": "25/442" }, { "q": "What is prob of picking 1 h, 1 a, 1 c, and 2 x when five letters picked without replacement from fxffcxxxxaahffaxfd?", "a": "5/952" }, { "q": "Five letters picked without replacement from ppppeepeppeppbp. Give prob of picking 2 e and 3 p.", "a": "240/1001" }, { "q": "What is prob of picking 1 w, 1 a, and 3 p when five letters picked without replacement from avaapwoaawpvaaopooww?", "a": "7/3876" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from ncbknnnnuf.", "a": "1/252" }, { "q": "What is prob of picking 3 j and 2 m when five letters picked without replacement from {m: 5, j: 10}?", "a": "400/1001" }, { "q": "Calculate prob of picking 1 e and 4 l when five letters picked without replacement from eelelll.", "a": "1/7" }, { "q": "What is prob of picking 1 f, 1 r, and 3 p when five letters picked without replacement from pffprffzrfrwp?", "a": "5/429" }, { "q": "Five letters picked without replacement from gttfgtggftffttggftt. Give prob of picking 2 g and 3 t.", "a": "70/969" }, { "q": "Five letters picked without replacement from hcqchxrcchxchxxcqr. What is prob of picking 1 x, 2 c, 1 r, and 1 h?", "a": "20/357" }, { "q": "What is prob of picking 1 d, 3 n, and 1 h when five letters picked without replacement from hndhnhgn?", "a": "3/56" }, { "q": "Calculate prob of picking 2 h, 1 y, 1 t, and 1 p when five letters picked without replacement from ptyypnchtyh.", "a": "2/77" }, { "q": "Calculate prob of picking 3 m, 1 b, and 1 p when five letters picked without replacement from {m: 4, p: 2, b: 1, f: 1, j: 1}.", "a": "4/63" }, { "q": "Five letters picked without replacement from bhhxbbuxbhhhxhhbxxuh. What is prob of picking 2 x, 1 b, and 2 h?", "a": "175/1938" }, { "q": "Five letters picked without replacement from {m: 3, p: 4, n: 2, z: 1}. What is prob of picking 2 p, 1 z, and 2 m?", "a": "1/14" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {s: 11, k: 7}?", "a": "11/204" }, { "q": "Calculate prob of picking 4 d and 1 o when five letters picked without replacement from cdodcoidddiooddoodo.", "a": "245/5814" }, { "q": "Five letters picked without replacement from {d: 4, z: 3}. Give prob of picking 2 z and 3 d.", "a": "4/7" }, { "q": "Calculate prob of picking 2 z and 3 n when five letters picked without replacement from {n: 5, z: 5}.", "a": "25/63" }, { "q": "Five letters picked without replacement from {b: 1, k: 3, y: 3}. What is prob of picking 1 b, 3 y, and 1 k?", "a": "1/7" }, { "q": "Five letters picked without replacement from {e: 5, w: 9}. Give prob of picking 5 w.", "a": "9/143" }, { "q": "Calculate prob of picking 1 h, 2 f, and 2 j when five letters picked without replacement from {h: 1, j: 13, f: 5}.", "a": "65/969" }, { "q": "Calculate prob of picking 1 t, 2 g, and 2 b when five letters picked without replacement from {t: 9, b: 4, g: 2}.", "a": "18/1001" }, { "q": "Five letters picked without replacement from pepepeppee. Give prob of picking 3 p and 2 e.", "a": "25/63" }, { "q": "Five letters picked without replacement from {y: 6, d: 4, r: 4, k: 5}. Give prob of picking 1 r and 4 d.", "a": "1/2907" }, { "q": "Five letters picked without replacement from {v: 9, u: 2}. Give prob of picking 4 v and 1 u.", "a": "6/11" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from vzvvzzvvzvvzzvzzzzzv?", "a": "21/2584" }, { "q": "Calculate prob of picking 1 w and 4 r when five letters picked without replacement from rrrrrrw.", "a": "5/7" }, { "q": "Five letters picked without replacement from {c: 9}. Give prob of picking 5 c.", "a": "1" }, { "q": "Calculate prob of picking 3 x and 2 o when five letters picked without replacement from mmxmmmxmxmxxomxmxmxm.", "a": "0" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from {e: 8}.", "a": "1" }, { "q": "Calculate prob of picking 2 n, 1 o, and 2 i when five letters picked without replacement from {o: 1, e: 2, n: 1, i: 1}.", "a": "0" }, { "q": "Calculate prob of picking 4 k and 1 f when five letters picked without replacement from kfffffkfkkkffffkfk.", "a": "55/1224" }, { "q": "What is prob of picking 4 t and 1 m when five letters picked without replacement from {t: 4, m: 9}?", "a": "1/143" }, { "q": "Five letters picked without replacement from occoococccocc. Give prob of picking 2 c and 3 o.", "a": "280/1287" }, { "q": "What is prob of picking 1 s and 4 t when five letters picked without replacement from ztzztztttstzjzstttt?", "a": "35/969" }, { "q": "Calculate prob of picking 2 c, 1 m, 1 u, and 1 k when five letters picked without replacement from mmmmkcmkccmcccmumcc.", "a": "112/2907" }, { "q": "Five letters picked without replacement from {n: 5, r: 5}. Give prob of picking 3 n and 2 r.", "a": "25/63" }, { "q": "What is prob of picking 2 q, 1 j, and 2 g when five letters picked without replacement from {g: 3, j: 1, q: 7}?", "a": "3/22" }, { "q": "Calculate prob of picking 1 c, 3 r, and 1 x when five letters picked without replacement from {r: 3, a: 4, t: 6, x: 1, c: 2}.", "a": "1/2184" }, { "q": "Five letters picked without replacement from {j: 2, t: 4, x: 2, v: 3}. Give prob of picking 2 v and 3 t.", "a": "2/77" }, { "q": "Five letters picked without replacement from {m: 3, p: 11}. What is prob of picking 1 m and 4 p?", "a": "45/91" }, { "q": "What is prob of picking 3 f and 2 t when five letters picked without replacement from fgfgftfttggtgtgtgtgt?", "a": "7/969" }, { "q": "Five letters picked without replacement from {t: 4, c: 5, a: 6}. Give prob of picking 3 a and 2 t.", "a": "40/1001" }, { "q": "Calculate prob of picking 1 k and 4 u when five letters picked without replacement from {k: 3, u: 7, b: 4, p: 5}.", "a": "35/3876" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from ddddddd?", "a": "1" }, { "q": "Five letters picked without replacement from {w: 3, x: 13}. Give prob of picking 4 x and 1 w.", "a": "55/112" }, { "q": "Calculate prob of picking 1 l and 4 y when five letters picked without replacement from lyllkylqyllllyklkkk.", "a": "1/1292" }, { "q": "What is prob of picking 1 l, 1 y, 1 d, and 2 f when five letters picked without replacement from {x: 2, f: 2, l: 4, v: 2, y: 1, d: 2}?", "a": "8/1287" }, { "q": "Five letters picked without replacement from cjjfsjjfccfjsssfccfc. Give prob of picking 4 s and 1 c.", "a": "1/2584" }, { "q": "What is prob of picking 2 p, 1 e, and 2 s when five letters picked without replacement from zessepspse?", "a": "1/14" }, { "q": "Five letters picked without replacement from {x: 1, s: 1, u: 4, g: 1}. Give prob of picking 4 u and 1 x.", "a": "1/21" }, { "q": "Five letters picked without replacement from yburyyurrryuuuuyy. What is prob of picking 1 u, 2 y, and 2 r?", "a": "135/1547" }, { "q": "Five letters picked without replacement from khhkhh. Give prob of picking 1 k and 4 h.", "a": "1/3" }, { "q": "Calculate prob of picking 2 r, 2 y, and 1 h when five letters picked without replacement from yyygrhghgkr.", "a": "1/77" }, { "q": "What is prob of picking 3 p and 2 k when five letters picked without replacement from {k: 3, f: 8, p: 4, n: 5}?", "a": "1/1292" }, { "q": "Five letters picked without replacement from ggggywwwygyyzzgg. Give prob of picking 3 y and 2 w.", "a": "1/364" }, { "q": "What is prob of picking 4 m and 1 y when five letters picked without replacement from {m: 9, y: 1, b: 6, l: 2}?", "a": "1/68" }, { "q": "Five letters picked without replacement from nnmmnnmnmzmmnnnn. What is prob of picking 5 m?", "a": "1/728" }, { "q": "What is prob of picking 1 h and 4 d when five letters picked without replacement from {h: 5, d: 7}?", "a": "175/792" }, { "q": "Calculate prob of picking 1 x, 2 u, and 2 c when five letters picked without replacement from xxxxxuucxxxxxxxxxxcx.", "a": "1/969" }, { "q": "Five letters picked without replacement from lllllll. What is prob of picking 5 l?", "a": "1" }, { "q": "Five letters picked without replacement from {n: 14, g: 3}. Give prob of picking 5 n.", "a": "11/34" }, { "q": "Five letters picked without replacement from pwqqpixibbxix. What is prob of picking 2 p, 1 b, 1 x, and 1 w?", "a": "2/429" }, { "q": "Five letters picked without replacement from nnhhnnnnnnnnnhh. Give prob of picking 3 h and 2 n.", "a": "20/273" }, { "q": "Five letters picked without replacement from {s: 1, p: 5, q: 4}. What is prob of picking 4 p and 1 s?", "a": "5/252" }, { "q": "What is prob of picking 4 c and 1 v when five letters picked without replacement from vvvvvvvvccvcvvcvvcc?", "a": "65/3876" }, { "q": "Five letters picked without replacement from fafffffhfffy. What is prob of picking 1 h, 1 y, and 3 f?", "a": "7/66" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hhhhhhhh.", "a": "1" }, { "q": "What is prob of picking 3 i and 2 k when five letters picked without replacement from iikikssiki?", "a": "5/42" }, { "q": "What is prob of picking 1 k and 4 b when five letters picked without replacement from llklllbllbbblll?", "a": "1/3003" }, { "q": "What is prob of picking 1 i and 4 c when five letters picked without replacement from cccigcdicgcc?", "a": "35/396" }, { "q": "Five letters picked without replacement from nqqqqnqqqqnqnqqqqn. What is prob of picking 1 n and 4 q?", "a": "3575/8568" }, { "q": "Five letters picked without replacement from {o: 2, h: 1, u: 5, w: 3, z: 8, l: 1}. Give prob of picking 1 l, 1 u, and 3 w.", "a": "5/15504" }, { "q": "Calculate prob of picking 1 o, 3 c, and 1 s when five letters picked without replacement from {o: 3, e: 4, s: 1, b: 2, c: 3, i: 3}.", "a": "1/1456" }, { "q": "What is prob of picking 4 o and 1 l when five letters picked without replacement from {l: 3, o: 6}?", "a": "5/14" }, { "q": "Five letters picked without replacement from {a: 5, v: 4, j: 1, x: 3}. What is prob of picking 1 j, 1 a, and 3 v?", "a": "20/1287" }, { "q": "Five letters picked without replacement from nfnnfffff. Give prob of picking 5 f.", "a": "1/21" }, { "q": "Calculate prob of picking 3 g and 2 o when five letters picked without replacement from oggkkggggopggggg.", "a": "55/1456" }, { "q": "What is prob of picking 1 r and 4 c when five letters picked without replacement from rcccfcfccccfccc?", "a": "10/91" }, { "q": "What is prob of picking 1 o, 3 x, and 1 q when five letters picked without replacement from {q: 5, o: 1, x: 8}?", "a": "20/143" }, { "q": "What is prob of picking 3 h and 2 l when five letters picked without replacement from {h: 8, l: 12}?", "a": "77/323" }, { "q": "Calculate prob of picking 2 c and 3 f when five letters picked without replacement from {c: 2, f: 6}.", "a": "5/14" }, { "q": "Five letters picked without replacement from {i: 3, w: 3, u: 1, k: 1}. What is prob of picking 1 i, 1 u, and 3 w?", "a": "3/56" }, { "q": "Five letters picked without replacement from {l: 4, t: 6}. What is prob of picking 5 t?", "a": "1/42" }, { "q": "Five letters picked without replacement from {h: 5, o: 4, e: 8, u: 2}. What is prob of picking 2 u, 2 e, and 1 o?", "a": "28/2907" }, { "q": "Five letters picked without replacement from {n: 3, k: 1, g: 1, z: 1, m: 1, u: 1}. Give prob of picking 4 u and 1 k.", "a": "0" }, { "q": "Five letters picked without replacement from {d: 1, u: 7, y: 1, k: 2, a: 2, t: 2}. Give prob of picking 2 k, 2 a, and 1 t.", "a": "2/3003" }, { "q": "Five letters picked without replacement from {t: 3, p: 9}. What is prob of picking 2 t and 3 p?", "a": "7/22" }, { "q": "Five letters picked without replacement from yyyoyooyoooyyooyyooy. Give prob of picking 5 y.", "a": "21/1292" }, { "q": "Five letters picked without replacement from pppprppppprrprrppp. What is prob of picking 5 r?", "a": "1/8568" }, { "q": "Calculate prob of picking 3 q and 2 o when five letters picked without replacement from qqoooqooooqooooooo.", "a": "13/306" }, { "q": "Five letters picked without replacement from {x: 2, i: 3, b: 6, g: 4}. What is prob of picking 1 x, 2 g, and 2 b?", "a": "60/1001" }, { "q": "What is prob of picking 4 y and 1 n when five letters picked without replacement from {a: 2, n: 1, g: 6, y: 11}?", "a": "55/2584" }, { "q": "What is prob of picking 1 b, 1 x, 1 s, and 2 w when five letters picked without replacement from xxsbwwsb?", "a": "1/7" }, { "q": "Five letters picked without replacement from xxxddxddddxxxxxx. What is prob of picking 5 d?", "a": "1/728" }, { "q": "Five letters picked without replacement from {e: 1, w: 5, c: 1, a: 8}. What is prob of picking 4 a and 1 c?", "a": "10/429" }, { "q": "Calculate prob of picking 3 z and 2 l when five letters picked without replacement from llzlzvzllzzz.", "a": "25/99" }, { "q": "Five letters picked without replacement from cgkkgukukkkcvukcgk. What is prob of picking 2 g, 1 c, 1 u, and 1 k?", "a": "3/119" }, { "q": "What is prob of picking 4 b and 1 t when five letters picked without replacement from bbbtbt?", "a": "1/3" }, { "q": "Calculate prob of picking 1 x, 3 p, and 1 w when five letters picked without replacement from {x: 10, w: 4, p: 6}.", "a": "50/969" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from {y: 7, d: 7}?", "a": "3/286" }, { "q": "Five letters picked without replacement from {j: 1, p: 1, v: 7, o: 1, h: 2, l: 6}. What is prob of picking 1 j, 1 l, 2 v, and 1 p?", "a": "1/68" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tttttttdt.", "a": "4/9" }, { "q": "Calculate prob of picking 3 q and 2 h when five letters picked without replacement from {q: 13, h: 2}.", "a": "2/21" }, { "q": "Five letters picked without replacement from {o: 1, r: 4, s: 7, e: 2}. What is prob of picking 2 r, 1 o, and 2 e?", "a": "3/1001" }, { "q": "Five letters picked without replacement from nyonovonnozynnovyn. Give prob of picking 1 n, 1 z, 1 o, 1 v, and 1 y.", "a": "5/204" }, { "q": "Calculate prob of picking 2 b and 3 e when five letters picked without replacement from eeebeeeeebebbbe.", "a": "400/1001" }, { "q": "Five letters picked without replacement from vvoxoomxofm. Give prob of picking 1 x, 1 v, 2 m, and 1 f.", "a": "2/231" }, { "q": "Calculate prob of picking 1 c, 3 f, and 1 k when five letters picked without replacement from cccfkffkccqkkx.", "a": "10/1001" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {p: 8, c: 4}.", "a": "7/99" }, { "q": "Five letters picked without replacement from {j: 1, l: 4, g: 1, y: 2}. Give prob of picking 1 y and 4 l.", "a": "1/28" }, { "q": "Five letters picked without replacement from lcgccflgggcxflxcclcu. Give prob of picking 2 g, 1 x, and 2 l.", "a": "3/646" }, { "q": "What is prob of picking 1 c, 1 a, and 3 z when five letters picked without replacement from {a: 6, z: 6, c: 7}?", "a": "70/969" }, { "q": "Five letters picked without replacement from zzzzzsssszssszzsz. What is prob of picking 2 s and 3 z?", "a": "84/221" }, { "q": "Calculate prob of picking 1 v, 1 i, and 3 y when five letters picked without replacement from yvyyivivyviivvivyyy.", "a": "1225/11628" }, { "q": "Five letters picked without replacement from {b: 1, d: 4, z: 1, h: 6, v: 1}. What is prob of picking 3 d, 1 z, and 1 v?", "a": "4/1287" }, { "q": "Five letters picked without replacement from rmrrwmdmmdmpdrd. What is prob of picking 1 p, 1 w, 2 d, and 1 m?", "a": "10/1001" }, { "q": "Five letters picked without replacement from {y: 6, o: 5}. What is prob of picking 5 y?", "a": "1/77" }, { "q": "Five letters picked without replacement from boybyyyybbyybbbyoho. Give prob of picking 3 y, 1 b, and 1 o.", "a": "98/969" }, { "q": "Five letters picked without replacement from jaavrmrajvvajara. What is prob of picking 1 r, 1 m, and 3 j?", "a": "1/1456" }, { "q": "Five letters picked without replacement from pbnjbljxjxjjnnn. Give prob of picking 1 p, 1 b, and 3 j.", "a": "20/3003" }, { "q": "Five letters picked without replacement from {r: 1, g: 2, s: 10, h: 3}. What is prob of picking 1 s, 2 g, and 2 h?", "a": "5/728" }, { "q": "Five letters picked without replacement from jjjjxjjjjxjxjxxx. What is prob of picking 5 j?", "a": "3/52" }, { "q": "Calculate prob of picking 1 r and 4 a when five letters picked without replacement from {a: 5, r: 5}.", "a": "25/252" }, { "q": "Calculate prob of picking 2 w and 3 f when five letters picked without replacement from {f: 12, w: 8}.", "a": "385/969" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {n: 3, g: 12}?", "a": "24/91" }, { "q": "Five letters picked without replacement from xmxsyglgs. Give prob of picking 2 g, 1 m, and 2 s.", "a": "1/126" }, { "q": "What is prob of picking 1 y, 3 w, and 1 c when five letters picked without replacement from {y: 5, c: 2, w: 5}?", "a": "25/198" }, { "q": "What is prob of picking 2 l and 3 f when five letters picked without replacement from lffflffffffffll?", "a": "30/91" }, { "q": "Calculate prob of picking 1 i, 1 u, and 3 r when five letters picked without replacement from {r: 9, i: 4, z: 1, u: 2}.", "a": "2/13" }, { "q": "Calculate prob of picking 1 r, 3 b, and 1 n when five letters picked without replacement from {d: 2, n: 1, o: 4, b: 3, e: 2, r: 7}.", "a": "7/11628" }, { "q": "Five letters picked without replacement from nnnnnn. What is prob of picking 5 n?", "a": "1" }, { "q": "Five letters picked without replacement from nynnnnnnyynnyynnynyn. Give prob of picking 5 n.", "a": "429/5168" }, { "q": "Five letters picked without replacement from uumupmuzpwuzmmmm. What is prob of picking 3 m and 2 z?", "a": "5/1092" }, { "q": "What is prob of picking 1 a, 3 s, and 1 o when five letters picked without replacement from fsfsssofssasssas?", "a": "5/91" }, { "q": "What is prob of picking 2 v and 3 o when five letters picked without replacement from vvovvovvvvvvov?", "a": "5/182" }, { "q": "Five letters picked without replacement from qqxxeoqtvvqvqqtvqxoo. Give prob of picking 2 t, 1 v, 1 o, and 1 q.", "a": "7/1292" }, { "q": "Calculate prob of picking 2 b, 2 r, and 1 x when five letters picked without replacement from {b: 2, x: 5, r: 2, k: 2, y: 9}.", "a": "5/15504" }, { "q": "Five letters picked without replacement from {f: 3, a: 2, w: 3}. Give prob of picking 3 w, 1 f, and 1 a.", "a": "3/28" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from rrrrrgggrgggr?", "a": "2/429" }, { "q": "Five letters picked without replacement from {r: 1, k: 8, m: 3, i: 7}. What is prob of picking 2 i, 1 m, and 2 k?", "a": "49/323" }, { "q": "Five letters picked without replacement from {q: 11, r: 9}. What is prob of picking 1 r and 4 q?", "a": "495/2584" }, { "q": "Five letters picked without replacement from vhvrhhjqrrvjihr. What is prob of picking 3 h, 1 v, and 1 j?", "a": "8/1001" }, { "q": "What is prob of picking 2 n and 3 i when five letters picked without replacement from {o: 2, n: 5, i: 4}?", "a": "20/231" }, { "q": "Five letters picked without replacement from {j: 2, r: 3, z: 3, q: 2, s: 2, l: 3}. What is prob of picking 2 z, 1 l, and 2 q?", "a": "3/1001" }, { "q": "Calculate prob of picking 4 a and 1 b when five letters picked without replacement from {a: 8, b: 4}.", "a": "35/99" }, { "q": "Calculate prob of picking 1 p, 2 k, 1 s, and 1 j when five letters picked without replacement from {k: 3, j: 3, p: 12, s: 1}.", "a": "3/323" }, { "q": "Calculate prob of picking 1 r and 4 w when five letters picked without replacement from {w: 14, r: 1}.", "a": "1/3" }, { "q": "Calculate prob of picking 4 m and 1 i when five letters picked without replacement from {h: 1, y: 2, i: 2, s: 3, x: 5, m: 5}.", "a": "5/4284" }, { "q": "Five letters picked without replacement from {f: 8, w: 2, g: 5}. What is prob of picking 5 g?", "a": "1/3003" }, { "q": "Five letters picked without replacement from erferrrfcr. What is prob of picking 3 r and 2 e?", "a": "5/126" }, { "q": "Five letters picked without replacement from hhssssssssssshs. Give prob of picking 4 s and 1 h.", "a": "45/91" }, { "q": "Five letters picked without replacement from hhhhghghhh. What is prob of picking 2 g and 3 h?", "a": "2/9" }, { "q": "Five letters picked without replacement from aqaaaqaa. What is prob of picking 3 a and 2 q?", "a": "5/14" }, { "q": "Five letters picked without replacement from {o: 3, d: 1, y: 1, e: 1, a: 10, b: 2}. Give prob of picking 1 y, 1 d, 1 a, and 2 b.", "a": "5/4284" }, { "q": "Calculate prob of picking 3 y and 2 z when five letters picked without replacement from {i: 1, m: 2, z: 11, y: 4}.", "a": "55/2142" }, { "q": "Calculate prob of picking 3 c, 1 z, and 1 d when five letters picked without replacement from qcdtzcdtwcwcc.", "a": "20/1287" }, { "q": "Five letters picked without replacement from {e: 2, l: 1, x: 1, m: 1, c: 7}. Give prob of picking 2 c, 1 m, 1 x, and 1 l.", "a": "7/264" }, { "q": "Five letters picked without replacement from wwwaawwaltalliuaiawa. What is prob of picking 2 l and 3 a?", "a": "35/5168" }, { "q": "Five letters picked without replacement from {d: 1, g: 5, c: 5, m: 6, h: 1}. What is prob of picking 1 h, 1 d, and 3 c?", "a": "5/4284" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from shhbkhhskshkssk?", "a": "1/3003" }, { "q": "What is prob of picking 4 m and 1 k when five letters picked without replacement from {m: 1, k: 1, j: 7, g: 3}?", "a": "0" }, { "q": "Five letters picked without replacement from {x: 6, e: 2}. What is prob of picking 5 x?", "a": "3/28" }, { "q": "Five letters picked without replacement from ffppppfffpfpfpp. Give prob of picking 5 f.", "a": "1/143" }, { "q": "Calculate prob of picking 3 h and 2 e when five letters picked without replacement from hhhehhhheehhhhhe.", "a": "55/182" }, { "q": "Five letters picked without replacement from kaokooaok. What is prob of picking 2 a, 2 o, and 1 k?", "a": "1/7" }, { "q": "Calculate prob of picking 4 v and 1 e when five letters picked without replacement from evvvvvivvvvvvv.", "a": "45/182" }, { "q": "Five letters picked without replacement from {r: 1, p: 2, u: 1, y: 1}. Give prob of picking 5 y.", "a": "0" }, { "q": "Calculate prob of picking 2 c and 3 l when five letters picked without replacement from {w: 1, e: 3, l: 3, c: 5}.", "a": "5/396" }, { "q": "Calculate prob of picking 4 i and 1 x when five letters picked without replacement from iiioiixiiixox.", "a": "70/429" }, { "q": "Five letters picked without replacement from {w: 1, j: 2, p: 3, k: 5, e: 1, q: 8}. Give prob of picking 3 p, 1 w, and 1 q.", "a": "1/1938" }, { "q": "Five letters picked without replacement from {p: 5, d: 2}. What is prob of picking 2 d and 3 p?", "a": "10/21" }, { "q": "Calculate prob of picking 1 v, 3 m, and 1 w when five letters picked without replacement from {m: 3, v: 3, w: 8}.", "a": "12/1001" }, { "q": "What is prob of picking 2 a, 1 v, 1 g, and 1 s when five letters picked without replacement from vssavssazgazavvzz?", "a": "24/1547" }, { "q": "What is prob of picking 1 w, 2 q, and 2 h when five letters picked without replacement from {e: 2, w: 1, b: 2, h: 1, q: 2, l: 1}?", "a": "0" }, { "q": "What is prob of picking 4 i and 1 d when five letters picked without replacement from {d: 4, i: 4}?", "a": "1/14" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from {u: 8, f: 6}.", "a": "4/143" }, { "q": "Calculate prob of picking 2 g and 3 z when five letters picked without replacement from {z: 5, g: 5}.", "a": "25/63" }, { "q": "Five letters picked without replacement from {u: 6, b: 14}. What is prob of picking 1 u and 4 b?", "a": "1001/2584" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from {g: 14, o: 1}?", "a": "2/3" }, { "q": "Five letters picked without replacement from {m: 6, f: 7}. What is prob of picking 3 f and 2 m?", "a": "175/429" }, { "q": "What is prob of picking 3 k, 1 q, and 1 l when five letters picked without replacement from {q: 1, l: 1, k: 11}?", "a": "5/39" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {o: 4, v: 7}?", "a": "1/22" }, { "q": "What is prob of picking 3 s and 2 r when five letters picked without replacement from {r: 5, s: 8, i: 6}?", "a": "140/2907" }, { "q": "Five letters picked without replacement from ezzzzzzszzefezenzzz. What is prob of picking 3 z and 2 e?", "a": "110/969" }, { "q": "Calculate prob of picking 3 g, 1 t, and 1 w when five letters picked without replacement from jgjggwugtulggu.", "a": "10/1001" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from {b: 5, v: 1}.", "a": "1/6" }, { "q": "Five letters picked without replacement from {w: 1, n: 3, i: 4, x: 1}. What is prob of picking 2 i and 3 n?", "a": "1/21" }, { "q": "Five letters picked without replacement from iriiirririirrirrrirr. Give prob of picking 2 i and 3 r.", "a": "495/1292" }, { "q": "What is prob of picking 2 o, 1 u, and 2 c when five letters picked without replacement from oucoccocoocuuo?", "a": "225/1001" }, { "q": "What is prob of picking 2 w, 2 u, and 1 z when five letters picked without replacement from wzsnwnnuw?", "a": "0" }, { "q": "Calculate prob of picking 3 p, 1 k, and 1 s when five letters picked without replacement from {p: 3, k: 3, t: 7, s: 1}.", "a": "3/2002" }, { "q": "What is prob of picking 2 c, 2 k, and 1 p when five letters picked without replacement from {z: 3, c: 2, k: 2, p: 4, t: 3}?", "a": "2/1001" }, { "q": "Five letters picked without replacement from lqlqqqqqqqqqqqlq. Give prob of picking 4 q and 1 l.", "a": "55/112" }, { "q": "What is prob of picking 2 w, 2 u, and 1 x when five letters picked without replacement from {u: 4, w: 3, j: 2, x: 7, g: 4}?", "a": "21/2584" }, { "q": "Calculate prob of picking 1 h, 3 t, and 1 k when five letters picked without replacement from {o: 2, w: 3, t: 4, h: 2, r: 6, k: 1}.", "a": "1/1071" }, { "q": "Five letters picked without replacement from zznszsnsnzsssznssszn. What is prob of picking 2 z and 3 s?", "a": "105/1292" }, { "q": "Calculate prob of picking 1 x and 4 a when five letters picked without replacement from {x: 5, a: 7, o: 1}.", "a": "175/1287" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from mmbmmmmmmmmmmmm?", "a": "2/3" }, { "q": "Five letters picked without replacement from {y: 1, k: 1, l: 6, b: 1, a: 4}. What is prob of picking 1 b, 1 a, and 3 l?", "a": "80/1287" }, { "q": "Five letters picked without replacement from {i: 4, b: 4, m: 5, j: 2}. What is prob of picking 2 i and 3 b?", "a": "8/1001" }, { "q": "Calculate prob of picking 1 a, 1 d, 2 v, and 1 l when five letters picked without replacement from gadlddvddlvddaiigdd.", "a": "1/323" }, { "q": "Five letters picked without replacement from {p: 8, f: 1, g: 2, q: 4}. Give prob of picking 1 g, 1 q, and 3 p.", "a": "64/429" }, { "q": "Calculate prob of picking 4 z and 1 t when five letters picked without replacement from {z: 5, t: 2}.", "a": "10/21" }, { "q": "What is prob of picking 2 w and 3 t when five letters picked without replacement from nntnwwngtnntn?", "a": "1/1287" }, { "q": "Five letters picked without replacement from {i: 2, p: 4, v: 3, m: 9, g: 1}. Give prob of picking 2 p, 1 g, and 2 v.", "a": "1/646" }, { "q": "Calculate prob of picking 2 e, 2 k, and 1 n when five letters picked without replacement from knkejnkneecnckjknkkj.", "a": "105/5168" }, { "q": "Five letters picked without replacement from vvvccvccvvvc. Give prob of picking 5 v.", "a": "7/264" }, { "q": "What is prob of picking 2 x, 1 b, and 2 a when five letters picked without replacement from xxxxmcamavvcvmb?", "a": "2/1001" }, { "q": "What is prob of picking 2 a, 2 h, and 1 t when five letters picked without replacement from savvthoshshao?", "a": "1/429" }, { "q": "Five letters picked without replacement from ddddkkkddddkkd. Give prob of picking 2 d and 3 k.", "a": "180/1001" }, { "q": "Five letters picked without replacement from {a: 1, h: 4, j: 3, d: 4, s: 1, y: 2}. What is prob of picking 4 h and 1 s?", "a": "1/3003" }, { "q": "Calculate prob of picking 1 m and 4 t when five letters picked without replacement from mttpmlptlpptmltmt.", "a": "15/1547" }, { "q": "Five letters picked without replacement from ddddd. Give prob of picking 5 d.", "a": "1" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from zgggzzzzz.", "a": "1/21" }, { "q": "What is prob of picking 2 c, 2 n, and 1 u when five letters picked without replacement from ncfbunnbnnnbnnccnccz?", "a": "15/646" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {j: 2, p: 9}.", "a": "3/11" }, { "q": "What is prob of picking 1 t, 2 w, 1 f, and 1 m when five letters picked without replacement from twmmmxfewweefxm?", "a": "8/1001" }, { "q": "Calculate prob of picking 1 e, 3 k, and 1 q when five letters picked without replacement from {q: 3, k: 8, p: 1, e: 2}.", "a": "24/143" }, { "q": "Five letters picked without replacement from {l: 1, f: 1, y: 2, p: 3, b: 11, k: 1}. Give prob of picking 1 y, 1 k, 2 p, and 1 b.", "a": "11/1938" }, { "q": "What is prob of picking 1 c and 4 z when five letters picked without replacement from {c: 1, f: 1, z: 1, t: 1, y: 1}?", "a": "0" }, { "q": "Calculate prob of picking 1 s, 2 u, 1 q, and 1 k when five letters picked without replacement from skkuqskuukuus.", "a": "40/429" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {p: 12, s: 7}.", "a": "22/323" }, { "q": "What is prob of picking 1 n, 1 l, 2 e, and 1 v when five letters picked without replacement from {e: 5, v: 4, l: 1, n: 6}?", "a": "5/91" }, { "q": "Five letters picked without replacement from kggkgkkgkk. What is prob of picking 3 k and 2 g?", "a": "10/21" }, { "q": "What is prob of picking 1 o, 1 a, 2 i, and 1 h when five letters picked without replacement from {i: 5, o: 12, h: 1, a: 1}?", "a": "10/969" }, { "q": "What is prob of picking 2 d, 1 r, and 2 l when five letters picked without replacement from yllllydylyyrdlyrdl?", "a": "1/68" }, { "q": "Five letters picked without replacement from {w: 2, u: 6, b: 5, i: 2, z: 2, k: 2}. What is prob of picking 2 b, 1 z, and 2 k?", "a": "5/2907" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from ffffffffff?", "a": "1" }, { "q": "Calculate prob of picking 2 y, 1 a, 1 v, and 1 d when five letters picked without replacement from {k: 1, y: 3, d: 2, v: 10, a: 3}.", "a": "5/323" }, { "q": "What is prob of picking 3 o and 2 i when five letters picked without replacement from oodioooooooodioooidd?", "a": "143/2584" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from {i: 7, r: 12, k: 1}?", "a": "7/5168" }, { "q": "Five letters picked without replacement from meeeee. What is prob of picking 2 m and 3 e?", "a": "0" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from pppppjppppppppjjppp.", "a": "364/969" }, { "q": "Five letters picked without replacement from twwttewwwjttette. Give prob of picking 2 w, 2 e, and 1 j.", "a": "5/728" }, { "q": "Five letters picked without replacement from {j: 1, s: 14}. What is prob of picking 5 s?", "a": "2/3" }, { "q": "Five letters picked without replacement from lislnivnninlnilnv. Give prob of picking 1 n and 4 i.", "a": "3/3094" }, { "q": "What is prob of picking 1 b, 1 y, and 3 s when five letters picked without replacement from xxbjybbxxrrjssjbbsr?", "a": "5/11628" }, { "q": "What is prob of picking 2 s, 1 g, and 2 l when five letters picked without replacement from sllslsgl?", "a": "9/28" }, { "q": "What is prob of picking 3 q and 2 z when five letters picked without replacement from zszsszsqssqqsss?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {e: 7}. Give prob of picking 5 e.", "a": "1" }, { "q": "Five letters picked without replacement from {y: 8, w: 6}. Give prob of picking 4 w and 1 y.", "a": "60/1001" }, { "q": "Five letters picked without replacement from dliddddxdlkkw. What is prob of picking 2 d, 1 x, and 2 k?", "a": "5/429" }, { "q": "Five letters picked without replacement from {o: 2, m: 3, u: 1, w: 2, y: 4, e: 2}. What is prob of picking 1 w, 2 o, 1 m, and 1 e?", "a": "6/1001" }, { "q": "Five letters picked without replacement from eeeeegeeeegeegff. Give prob of picking 5 e.", "a": "11/104" }, { "q": "Five letters picked without replacement from vvuuuuvvuuvuvuuu. Give prob of picking 1 v and 4 u.", "a": "15/52" }, { "q": "What is prob of picking 4 m and 1 k when five letters picked without replacement from {m: 12, k: 6}?", "a": "165/476" }, { "q": "What is prob of picking 3 w and 2 v when five letters picked without replacement from {j: 1, b: 4, n: 1, v: 2, w: 3}?", "a": "1/462" }, { "q": "Five letters picked without replacement from mmooomooo. Give prob of picking 3 o and 2 m.", "a": "10/21" }, { "q": "Five letters picked without replacement from erwmrrewmrrewr. Give prob of picking 1 m, 1 w, and 3 r.", "a": "60/1001" }, { "q": "Five letters picked without replacement from oqkqkoko. Give prob of picking 3 o and 2 k.", "a": "3/56" }, { "q": "Five letters picked without replacement from {m: 4, p: 6, d: 8}. Give prob of picking 2 d and 3 p.", "a": "10/153" }, { "q": "Five letters picked without replacement from {n: 2, g: 1, o: 4, y: 3}. What is prob of picking 1 y and 4 o?", "a": "1/84" }, { "q": "Five letters picked without replacement from zzzzzziizziziiiiz. What is prob of picking 4 z and 1 i?", "a": "105/442" }, { "q": "Five letters picked without replacement from xccxhhcgcxxxcrxxhxxr. Give prob of picking 3 x, 1 g, and 1 c.", "a": "35/1292" }, { "q": "Calculate prob of picking 1 s, 2 i, 1 x, and 1 v when five letters picked without replacement from {s: 1, w: 6, i: 1, v: 2, x: 3}.", "a": "0" }, { "q": "Calculate prob of picking 1 u and 4 t when five letters picked without replacement from {t: 4, y: 1, u: 2}.", "a": "2/21" }, { "q": "Five letters picked without replacement from {s: 4, l: 1, c: 1, k: 4}. What is prob of picking 1 l, 3 s, and 1 c?", "a": "1/63" }, { "q": "Five letters picked without replacement from bxxxxbx. What is prob of picking 4 x and 1 b?", "a": "10/21" }, { "q": "What is prob of picking 1 h, 1 n, 2 i, and 1 c when five letters picked without replacement from {n: 2, h: 3, w: 1, g: 1, i: 2, c: 2}?", "a": "2/77" }, { "q": "What is prob of picking 4 h and 1 o when five letters picked without replacement from hhohhhhhhhhhhhooh?", "a": "33/68" }, { "q": "What is prob of picking 4 j and 1 n when five letters picked without replacement from njjnjnnjnj?", "a": "25/252" }, { "q": "What is prob of picking 3 l and 2 u when five letters picked without replacement from {u: 5, m: 6, a: 3, z: 1, l: 5}?", "a": "25/3876" }, { "q": "Five letters picked without replacement from {j: 5, r: 6, b: 3}. What is prob of picking 2 b and 3 r?", "a": "30/1001" }, { "q": "Five letters picked without replacement from {a: 4, n: 10, i: 2}. Give prob of picking 2 i and 3 n.", "a": "5/182" }, { "q": "Five letters picked without replacement from {y: 8, p: 2, e: 6, h: 1, l: 1, b: 1}. What is prob of picking 2 y, 2 p, and 1 e?", "a": "14/969" }, { "q": "What is prob of picking 1 u, 3 e, and 1 x when five letters picked without replacement from {e: 5, c: 8, l: 1, x: 3, u: 3}?", "a": "15/2584" }, { "q": "Calculate prob of picking 1 o, 2 s, 1 r, and 1 i when five letters picked without replacement from {a: 1, z: 1, i: 4, o: 1, s: 2, r: 2}.", "a": "4/231" }, { "q": "Five letters picked without replacement from {j: 2, i: 7, n: 1, w: 8, s: 2}. What is prob of picking 2 w, 1 n, and 2 j?", "a": "7/3876" }, { "q": "Calculate prob of picking 3 j and 2 u when five letters picked without replacement from {u: 3, j: 5, x: 6}.", "a": "15/1001" }, { "q": "Calculate prob of picking 3 v and 2 p when five letters picked without replacement from {k: 5, i: 2, v: 3, p: 3, c: 2}.", "a": "1/1001" }, { "q": "Calculate prob of picking 3 u and 2 y when five letters picked without replacement from {g: 3, y: 4, u: 5, n: 6}.", "a": "5/714" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from {y: 1, z: 3, g: 7, q: 9}?", "a": "21/2584" }, { "q": "Five letters picked without replacement from {t: 4, w: 4, o: 11}. Give prob of picking 4 w and 1 t.", "a": "1/2907" }, { "q": "Calculate prob of picking 2 y, 2 h, and 1 k when five letters picked without replacement from ykykkkvykvyhhk.", "a": "18/1001" }, { "q": "What is prob of picking 1 m and 4 y when five letters picked without replacement from {m: 7, y: 12}?", "a": "385/1292" }, { "q": "What is prob of picking 1 f, 3 y, and 1 s when five letters picked without replacement from {s: 2, y: 3, i: 1, f: 1}?", "a": "2/21" }, { "q": "Calculate prob of picking 2 m, 1 y, and 2 p when five letters picked without replacement from mpbbmbbpkbyry.", "a": "2/1287" }, { "q": "Five letters picked without replacement from fmfaaaamallammlaxaxa. What is prob of picking 2 l, 2 f, and 1 x?", "a": "1/2584" }, { "q": "What is prob of picking 2 t, 1 n, and 2 o when five letters picked without replacement from ooottntnoooonoono?", "a": "135/1547" }, { "q": "What is prob of picking 2 m, 1 t, and 2 u when five letters picked without replacement from {o: 1, t: 5, u: 5, k: 1, m: 4}?", "a": "25/364" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from {r: 1, e: 11, k: 8}.", "a": "7/1938" }, { "q": "Five letters picked without replacement from ccddddcdddddcddd. Give prob of picking 2 c and 3 d.", "a": "55/182" }, { "q": "What is prob of picking 1 z, 3 x, and 1 o when five letters picked without replacement from xxsxzewesoxewoxewowo?", "a": "5/1938" }, { "q": "What is prob of picking 1 m, 1 v, 1 b, and 2 w when five letters picked without replacement from {w: 5, b: 5, m: 2, v: 2, k: 2}?", "a": "25/546" }, { "q": "What is prob of picking 4 q and 1 i when five letters picked without replacement from {i: 4, q: 8}?", "a": "35/99" }, { "q": "Calculate prob of picking 2 m, 1 p, 1 b, and 1 o when five letters picked without replacement from {p: 3, m: 2, a: 4, b: 2, o: 5}.", "a": "5/728" }, { "q": "Five letters picked without replacement from tttttttofgiottfft. Give prob of picking 4 t and 1 i.", "a": "15/442" }, { "q": "Five letters picked without replacement from xgxggggxgxggggggxgg. Give prob of picking 1 g and 4 x.", "a": "35/5814" }, { "q": "Calculate prob of picking 1 f, 2 d, and 2 n when five letters picked without replacement from {s: 1, n: 5, d: 5, u: 2, f: 2}.", "a": "200/3003" }, { "q": "Five letters picked without replacement from {t: 1, q: 1, x: 3, z: 7, v: 1}. What is prob of picking 2 x, 1 t, 1 z, and 1 q?", "a": "7/429" }, { "q": "What is prob of picking 4 d and 1 j when five letters picked without replacement from {j: 3, d: 8}?", "a": "5/11" }, { "q": "Five letters picked without replacement from nwowozz. Give prob of picking 2 o, 2 w, and 1 n.", "a": "1/21" }, { "q": "Five letters picked without replacement from {i: 4, g: 15}. Give prob of picking 2 i and 3 g.", "a": "455/1938" }, { "q": "Five letters picked without replacement from {g: 4, c: 5, h: 2}. What is prob of picking 1 c and 4 h?", "a": "0" }, { "q": "What is prob of picking 1 x, 1 b, and 3 s when five letters picked without replacement from brubusbsesxrsx?", "a": "12/1001" }, { "q": "Five letters picked without replacement from {s: 2, q: 1, i: 6, c: 8}. What is prob of picking 5 i?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {v: 1, g: 7, s: 1}. Give prob of picking 5 g.", "a": "1/6" }, { "q": "Five letters picked without replacement from {u: 4, p: 2, w: 2, l: 3, s: 1, e: 3}. Give prob of picking 2 w, 1 u, and 2 e.", "a": "4/1001" }, { "q": "Five letters picked without replacement from zwfffffwf. What is prob of picking 4 f and 1 z?", "a": "5/42" }, { "q": "Five letters picked without replacement from ddggzmdmgzdgiwz. What is prob of picking 1 i, 2 g, 1 w, and 1 m?", "a": "4/1001" }, { "q": "Five letters picked without replacement from uunxhfhffin. What is prob of picking 1 x, 1 u, 1 i, and 2 n?", "a": "1/231" }, { "q": "Five letters picked without replacement from uxuuxuruuu. What is prob of picking 2 x and 3 u?", "a": "5/36" }, { "q": "Five letters picked without replacement from {v: 1, s: 4, r: 4, x: 2, p: 2}. What is prob of picking 1 x, 2 s, and 2 p?", "a": "4/429" }, { "q": "What is prob of picking 2 b and 3 v when five letters picked without replacement from bvwjvbv?", "a": "1/21" }, { "q": "Five letters picked without replacement from {f: 4, w: 2, d: 3, b: 1, k: 2}. What is prob of picking 1 b, 3 f, and 1 k?", "a": "1/99" }, { "q": "Five letters picked without replacement from asysmasm. What is prob of picking 1 y, 1 m, and 3 s?", "a": "1/28" }, { "q": "Five letters picked without replacement from {w: 7, g: 3}. What is prob of picking 1 g and 4 w?", "a": "5/12" }, { "q": "Five letters picked without replacement from thtcchcvcct. Give prob of picking 1 v, 2 h, and 2 c.", "a": "5/231" }, { "q": "Five letters picked without replacement from ioiiosiggi. Give prob of picking 4 i and 1 g.", "a": "5/126" }, { "q": "Five letters picked without replacement from {q: 1, y: 6, l: 2, b: 1, a: 1, v: 1}. What is prob of picking 1 v, 1 b, 1 q, 1 y, and 1 a?", "a": "1/132" }, { "q": "Calculate prob of picking 1 g, 2 j, 1 q, and 1 m when five letters picked without replacement from {q: 10, i: 2, j: 2, g: 2, m: 1}.", "a": "5/1547" }, { "q": "Calculate prob of picking 2 w, 1 h, 1 s, and 1 g when five letters picked without replacement from {u: 2, g: 3, w: 6, t: 1, h: 2, s: 3}.", "a": "135/3094" }, { "q": "Calculate prob of picking 1 e, 1 d, 1 q, 1 s, and 1 t when five letters picked without replacement from edesveeevvqeeteeqd.", "a": "1/238" }, { "q": "Calculate prob of picking 4 q and 1 w when five letters picked without replacement from {w: 3, q: 15}.", "a": "65/136" }, { "q": "Five letters picked without replacement from {p: 1, l: 12, g: 1}. What is prob of picking 4 l and 1 g?", "a": "45/182" }, { "q": "What is prob of picking 1 t, 2 n, 1 i, and 1 x when five letters picked without replacement from nnntxniinnnttt?", "a": "12/143" }, { "q": "What is prob of picking 2 l, 1 d, and 2 x when five letters picked without replacement from llllxldxlx?", "a": "5/28" }, { "q": "Calculate prob of picking 1 g and 4 l when five letters picked without replacement from {l: 5, w: 4, g: 5, k: 5}.", "a": "25/11628" }, { "q": "What is prob of picking 2 p and 3 h when five letters picked without replacement from {w: 2, h: 7, p: 4}?", "a": "70/429" }, { "q": "Five letters picked without replacement from uuudeduddu. Give prob of picking 4 u and 1 e.", "a": "5/252" }, { "q": "Five letters picked without replacement from {h: 2, w: 3, u: 4, c: 3, r: 2, k: 1}. What is prob of picking 3 u, 1 h, and 1 c?", "a": "8/1001" }, { "q": "Calculate prob of picking 1 t and 4 g when five letters picked without replacement from {t: 5, g: 11}.", "a": "275/728" }, { "q": "Five letters picked without replacement from {x: 11, a: 9}. Give prob of picking 3 x and 2 a.", "a": "495/1292" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {q: 9, k: 3, o: 5}?", "a": "1/6188" }, { "q": "Five letters picked without replacement from {h: 4, t: 16}. Give prob of picking 1 h and 4 t.", "a": "455/969" }, { "q": "Calculate prob of picking 2 r, 2 o, and 1 t when five letters picked without replacement from {r: 2, o: 6, t: 1}.", "a": "5/42" }, { "q": "What is prob of picking 4 h and 1 j when five letters picked without replacement from vhhvjvvhhvvn?", "a": "1/792" }, { "q": "Five letters picked without replacement from {v: 2, u: 12, z: 5, o: 1}. Give prob of picking 3 z, 1 v, and 1 u.", "a": "5/323" }, { "q": "Five letters picked without replacement from {v: 4, b: 14}. Give prob of picking 4 v and 1 b.", "a": "1/612" }, { "q": "Five letters picked without replacement from {k: 1, v: 5, o: 5, b: 1}. Give prob of picking 5 o.", "a": "1/792" }, { "q": "Five letters picked without replacement from mnngmngmgmggm. Give prob of picking 2 m and 3 n.", "a": "10/1287" }, { "q": "Five letters picked without replacement from {u: 1, n: 2, t: 2, d: 2, x: 12}. Give prob of picking 2 d, 2 n, and 1 x.", "a": "1/969" }, { "q": "Five letters picked without replacement from eddzxxxzxxdddg. Give prob of picking 2 z and 3 x.", "a": "5/1001" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from {s: 10}.", "a": "1" }, { "q": "Five letters picked without replacement from puuuuuuuppu. Give prob of picking 2 u and 3 p.", "a": "2/33" }, { "q": "Calculate prob of picking 3 o and 2 m when five letters picked without replacement from oooemmoo.", "a": "5/28" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from {g: 7, d: 3}.", "a": "1/12" }, { "q": "Five letters picked without replacement from yyovftyytotfetyytftt. Give prob of picking 2 f, 1 o, 1 t, and 1 v.", "a": "7/2584" }, { "q": "Five letters picked without replacement from gggeggegggggeg. What is prob of picking 2 e and 3 g?", "a": "45/182" }, { "q": "Five letters picked without replacement from xgsxxxxssxgxxx. Give prob of picking 1 s and 4 x.", "a": "27/143" }, { "q": "What is prob of picking 1 w, 3 e, and 1 k when five letters picked without replacement from {k: 2, w: 1, p: 1, e: 3, q: 1}?", "a": "1/28" }, { "q": "What is prob of picking 2 b and 3 r when five letters picked without replacement from {b: 7, r: 7}?", "a": "105/286" }, { "q": "Calculate prob of picking 4 y and 1 p when five letters picked without replacement from ooqqqpppyyypyp.", "a": "5/2002" }, { "q": "Five letters picked without replacement from {q: 1, d: 1, k: 2, h: 1, a: 2, t: 1}. What is prob of picking 1 d, 1 h, and 3 a?", "a": "0" }, { "q": "Five letters picked without replacement from {n: 2, k: 3}. What is prob of picking 1 k and 4 n?", "a": "0" }, { "q": "Five letters picked without replacement from {i: 6, j: 3, k: 2, z: 1}. Give prob of picking 1 i, 2 j, 1 z, and 1 k.", "a": "1/22" }, { "q": "Calculate prob of picking 1 x, 1 u, 1 n, and 2 p when five letters picked without replacement from {n: 6, u: 5, x: 2, p: 2}.", "a": "20/1001" }, { "q": "Five letters picked without replacement from {v: 6, d: 6}. Give prob of picking 5 v.", "a": "1/132" }, { "q": "Calculate prob of picking 2 q, 1 w, and 2 d when five letters picked without replacement from dwdccqdcwqccqcqcccwd.", "a": "9/1292" }, { "q": "Five letters picked without replacement from {w: 1, k: 4, j: 1, v: 7}. Give prob of picking 1 k and 4 v.", "a": "140/1287" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from lloloooololll?", "a": "7/429" }, { "q": "Five letters picked without replacement from {m: 2, z: 1, i: 1, y: 1, a: 1, h: 1}. Give prob of picking 2 y, 1 h, 1 m, and 1 z.", "a": "0" }, { "q": "Calculate prob of picking 1 c and 4 z when five letters picked without replacement from cggczzzgzcz.", "a": "5/154" }, { "q": "Five letters picked without replacement from {p: 3, c: 5, i: 6}. Give prob of picking 2 c, 1 p, and 2 i.", "a": "225/1001" }, { "q": "Five letters picked without replacement from {d: 6, f: 5, u: 1, m: 6}. Give prob of picking 1 m, 3 d, and 1 u.", "a": "5/357" }, { "q": "Calculate prob of picking 2 x, 2 f, and 1 b when five letters picked without replacement from {b: 1, j: 1, s: 2, x: 7, f: 2, m: 1}.", "a": "3/286" }, { "q": "Five letters picked without replacement from wwoftbwetetbtotw. Give prob of picking 2 w, 1 b, and 2 t.", "a": "5/182" }, { "q": "Five letters picked without replacement from {s: 2, h: 7, k: 9, b: 2}. Give prob of picking 1 s, 1 b, and 3 h.", "a": "35/3876" }, { "q": "Five letters picked without replacement from lllbqbloflbddbb. Give prob of picking 1 d, 3 l, and 1 q.", "a": "20/3003" }, { "q": "Calculate prob of picking 1 d, 1 w, and 3 l when five letters picked without replacement from {w: 3, d: 4, v: 1, p: 2, i: 2, l: 3}.", "a": "4/1001" }, { "q": "What is prob of picking 3 m and 2 c when five letters picked without replacement from {m: 12, c: 6}?", "a": "275/714" }, { "q": "Five letters picked without replacement from lffovtfltffttl. Give prob of picking 4 t and 1 v.", "a": "1/2002" }, { "q": "Five letters picked without replacement from {f: 5, c: 2, d: 13}. What is prob of picking 1 c, 3 f, and 1 d?", "a": "65/3876" }, { "q": "Five letters picked without replacement from ttllllltllltl. Give prob of picking 4 t and 1 l.", "a": "1/143" }, { "q": "What is prob of picking 1 k and 4 y when five letters picked without replacement from kykyykkkykykkyk?", "a": "45/1001" }, { "q": "What is prob of picking 3 s and 2 e when five letters picked without replacement from {e: 5, s: 11}?", "a": "275/728" }, { "q": "What is prob of picking 2 p, 2 j, and 1 o when five letters picked without replacement from {p: 3, l: 2, t: 1, o: 2, j: 4, v: 5}?", "a": "9/1547" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from xxfieiixixxxx.", "a": "7/429" }, { "q": "What is prob of picking 1 z, 1 f, 1 s, 1 t, and 1 h when five letters picked without replacement from hstssfszhwhwhthhsh?", "a": "5/612" }, { "q": "Five letters picked without replacement from agusgasaassgg. What is prob of picking 1 u, 2 a, 1 s, and 1 g?", "a": "32/429" }, { "q": "Five letters picked without replacement from hxllxlelxllxexxexx. What is prob of picking 2 l, 2 x, and 1 e?", "a": "5/34" }, { "q": "Calculate prob of picking 1 l, 1 s, and 3 j when five letters picked without replacement from sslljlsjlljllslslj.", "a": "5/238" }, { "q": "Calculate prob of picking 2 p, 2 y, and 1 k when five letters picked without replacement from {p: 4, b: 1, k: 5, y: 4}.", "a": "90/1001" }, { "q": "Five letters picked without replacement from {b: 1, i: 1, y: 7, g: 1}. Give prob of picking 4 y and 1 b.", "a": "5/36" }, { "q": "What is prob of picking 2 u, 2 p, and 1 w when five letters picked without replacement from gpuwupgw?", "a": "1/28" }, { "q": "Five letters picked without replacement from qngfqgrqrncfn. What is prob of picking 1 c, 1 r, 2 g, and 1 n?", "a": "2/429" }, { "q": "Five letters picked without replacement from {q: 1, p: 15}. What is prob of picking 1 q and 4 p?", "a": "5/16" }, { "q": "Calculate prob of picking 3 c and 2 r when five letters picked without replacement from {r: 3, c: 5, k: 1}.", "a": "5/21" }, { "q": "Five letters picked without replacement from {t: 3, e: 17}. Give prob of picking 5 e.", "a": "91/228" }, { "q": "Five letters picked without replacement from {e: 1, b: 5, n: 3, l: 2}. Give prob of picking 1 b, 1 e, and 3 n.", "a": "5/462" }, { "q": "Five letters picked without replacement from {e: 3, s: 1, r: 5, a: 1}. Give prob of picking 3 r, 1 e, and 1 s.", "a": "5/42" }, { "q": "What is prob of picking 2 f and 3 h when five letters picked without replacement from {f: 2, h: 6}?", "a": "5/14" }, { "q": "What is prob of picking 1 j, 3 e, and 1 f when five letters picked without replacement from {f: 2, e: 4, j: 1}?", "a": "8/21" }, { "q": "What is prob of picking 3 t and 2 d when five letters picked without replacement from tttudttttdttttuu?", "a": "55/1456" }, { "q": "Five letters picked without replacement from {r: 5, u: 4}. What is prob of picking 2 r and 3 u?", "a": "20/63" }, { "q": "Five letters picked without replacement from {u: 3, p: 9, s: 1}. What is prob of picking 2 p and 3 u?", "a": "4/143" }, { "q": "Five letters picked without replacement from {z: 5}. Give prob of picking 5 z.", "a": "1" }, { "q": "Calculate prob of picking 1 n, 2 l, and 2 f when five letters picked without replacement from {n: 3, l: 10, f: 4}.", "a": "405/3094" }, { "q": "Five letters picked without replacement from {i: 1, w: 2, e: 3, q: 3}. What is prob of picking 1 q, 2 e, and 2 w?", "a": "1/14" }, { "q": "Calculate prob of picking 3 r and 2 d when five letters picked without replacement from ddrddrdr.", "a": "5/28" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from aaaiiaaiiahsiahii?", "a": "3/884" }, { "q": "Five letters picked without replacement from mammaajrw. Give prob of picking 1 r, 1 j, and 3 m.", "a": "1/126" }, { "q": "Five letters picked without replacement from rkrrrrkrrkrrrrrrkkk. Give prob of picking 1 r and 4 k.", "a": "65/3876" }, { "q": "Five letters picked without replacement from hnhnnnhnnnhhnh. Give prob of picking 1 n and 4 h.", "a": "60/1001" }, { "q": "Five letters picked without replacement from lllxlbyxblryxbxrrr. Give prob of picking 1 y, 3 l, and 1 x.", "a": "10/1071" }, { "q": "Five letters picked without replacement from {h: 1, f: 7, t: 3, u: 3, a: 3}. Give prob of picking 1 h and 4 f.", "a": "5/884" }, { "q": "What is prob of picking 2 p, 1 o, 1 x, and 1 a when five letters picked without replacement from {x: 3, w: 2, o: 7, p: 2, j: 1, a: 3}?", "a": "1/136" }, { "q": "Five letters picked without replacement from {z: 6, t: 6, q: 4, a: 3}. What is prob of picking 5 q?", "a": "0" }, { "q": "Calculate prob of picking 2 g and 3 n when five letters picked without replacement from {n: 5, g: 11}.", "a": "275/2184" }, { "q": "Five letters picked without replacement from {p: 3, c: 1, k: 3, u: 2, v: 4, j: 4}. What is prob of picking 2 u, 2 p, and 1 v?", "a": "3/1547" }, { "q": "Five letters picked without replacement from dddddhd. What is prob of picking 5 d?", "a": "2/7" }, { "q": "Five letters picked without replacement from {q: 5}. Give prob of picking 5 q.", "a": "1" }, { "q": "Five letters picked without replacement from eyxyxxyxexe. What is prob of picking 3 e, 1 x, and 1 y?", "a": "5/154" }, { "q": "What is prob of picking 4 p and 1 g when five letters picked without replacement from {y: 1, g: 4, p: 5}?", "a": "5/63" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from {l: 12, q: 6}?", "a": "11/119" }, { "q": "Five letters picked without replacement from xxppggxpxpgxxgxpx. Give prob of picking 4 x and 1 g.", "a": "10/221" }, { "q": "What is prob of picking 4 w and 1 j when five letters picked without replacement from {w: 4, u: 1, j: 4, f: 1, m: 1}?", "a": "2/231" }, { "q": "What is prob of picking 2 x, 1 f, and 2 t when five letters picked without replacement from ffytfzfayxtxffat?", "a": "3/728" }, { "q": "What is prob of picking 1 i and 4 a when five letters picked without replacement from iaiaaaaaaaaa?", "a": "35/66" }, { "q": "Five letters picked without replacement from pwdwrzwapza. What is prob of picking 2 a, 1 p, 1 w, and 1 r?", "a": "1/77" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from {m: 9}.", "a": "1" }, { "q": "Five letters picked without replacement from {r: 4, m: 14}. What is prob of picking 1 m and 4 r?", "a": "1/612" }, { "q": "Five letters picked without replacement from epapkpkkkkpeepzppe. Give prob of picking 3 p and 2 a.", "a": "0" }, { "q": "Five letters picked without replacement from {f: 4, d: 6}. What is prob of picking 1 f and 4 d?", "a": "5/21" }, { "q": "Five letters picked without replacement from {r: 6, q: 3, g: 4, u: 4}. What is prob of picking 4 g and 1 r?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {h: 1, z: 14, t: 5}. Give prob of picking 2 z, 1 h, and 2 t.", "a": "455/7752" }, { "q": "Calculate prob of picking 4 q and 1 m when five letters picked without replacement from qqqmqqmmmqq.", "a": "10/33" }, { "q": "Calculate prob of picking 2 p and 3 y when five letters picked without replacement from yyppyyppppppypy.", "a": "240/1001" }, { "q": "Five letters picked without replacement from ggggggsgsggsgg. Give prob of picking 1 s and 4 g.", "a": "45/91" }, { "q": "Five letters picked without replacement from {s: 3, u: 2, m: 1, z: 5}. What is prob of picking 1 m, 1 u, and 3 z?", "a": "10/231" }, { "q": "What is prob of picking 1 u, 3 i, and 1 x when five letters picked without replacement from rxuiirix?", "a": "1/28" }, { "q": "Five letters picked without replacement from tuuttttututttttttut. Give prob of picking 4 u and 1 t.", "a": "35/5814" }, { "q": "Five letters picked without replacement from ukyyaayukyyeayukaka. Give prob of picking 1 y, 3 a, and 1 u.", "a": "5/323" }, { "q": "Calculate prob of picking 4 z and 1 f when five letters picked without replacement from zrzysazzzf.", "a": "5/252" }, { "q": "What is prob of picking 4 x and 1 w when five letters picked without replacement from zxwxxzxzzzexx?", "a": "5/429" }, { "q": "What is prob of picking 1 y, 1 q, and 3 j when five letters picked without replacement from gjjjgjjyjgqjqjqjg?", "a": "9/221" }, { "q": "What is prob of picking 2 c and 3 s when five letters picked without replacement from {s: 7, c: 2, r: 3}?", "a": "35/792" }, { "q": "Five letters picked without replacement from yyynnyyyyy. What is prob of picking 3 y and 2 n?", "a": "2/9" }, { "q": "Five letters picked without replacement from {j: 4, g: 12}. Give prob of picking 3 g and 2 j.", "a": "55/182" }, { "q": "What is prob of picking 1 q, 2 h, and 2 s when five letters picked without replacement from {s: 3, h: 2, j: 2, q: 2, g: 8}?", "a": "3/3094" }, { "q": "What is prob of picking 4 l and 1 f when five letters picked without replacement from fllflllllll?", "a": "6/11" }, { "q": "Calculate prob of picking 2 h, 1 m, and 2 d when five letters picked without replacement from hrhmmhrgdddrhg.", "a": "18/1001" }, { "q": "Calculate prob of picking 1 y, 1 z, and 3 l when five letters picked without replacement from {y: 4, e: 2, l: 5, z: 5, c: 4}.", "a": "25/1938" }, { "q": "Five letters picked without replacement from skkkksssskkkk. Give prob of picking 5 s.", "a": "1/1287" }, { "q": "Five letters picked without replacement from mmmiiimimmiiiiiim. Give prob of picking 4 i and 1 m.", "a": "105/442" }, { "q": "Five letters picked without replacement from zfzjzzzjzzf. What is prob of picking 1 z, 2 f, and 2 j?", "a": "1/66" }, { "q": "Calculate prob of picking 4 y and 1 a when five letters picked without replacement from {a: 3, y: 5}.", "a": "15/56" }, { "q": "Five letters picked without replacement from {n: 15, u: 1}. What is prob of picking 4 n and 1 u?", "a": "5/16" }, { "q": "Calculate prob of picking 2 a and 3 q when five letters picked without replacement from {q: 12, a: 7}.", "a": "385/969" }, { "q": "Five letters picked without replacement from {c: 2, e: 3, i: 2, q: 3, w: 7}. What is prob of picking 3 i, 1 w, and 1 c?", "a": "0" }, { "q": "Five letters picked without replacement from mmvvvvvvvvigmgvgg. Give prob of picking 3 v, 1 g, and 1 m.", "a": "36/221" }, { "q": "Five letters picked without replacement from vwvywvwvyvkvwy. What is prob of picking 2 v, 1 w, and 2 y?", "a": "90/1001" }, { "q": "Five letters picked without replacement from {b: 9, c: 4}. Give prob of picking 3 c and 2 b.", "a": "16/143" }, { "q": "Calculate prob of picking 3 l and 2 q when five letters picked without replacement from {x: 1, l: 6, q: 2, a: 4}.", "a": "20/1287" }, { "q": "Five letters picked without replacement from ffyooyokkkwwp. Give prob of picking 2 k, 1 p, and 2 o.", "a": "1/143" }, { "q": "Calculate prob of picking 1 y, 2 d, 1 f, and 1 w when five letters picked without replacement from dyofdwioiofoofof.", "a": "1/1092" }, { "q": "Five letters picked without replacement from {r: 4, l: 5}. What is prob of picking 2 l and 3 r?", "a": "20/63" }, { "q": "Five letters picked without replacement from flllflffvlf. Give prob of picking 5 l.", "a": "1/462" }, { "q": "Five letters picked without replacement from {d: 3, w: 3, f: 1}. Give prob of picking 1 f, 1 d, and 3 w.", "a": "1/7" }, { "q": "Calculate prob of picking 3 o and 2 y when five letters picked without replacement from sssysssoyosoyysoo.", "a": "15/1547" }, { "q": "Five letters picked without replacement from {d: 4, e: 4, g: 6}. What is prob of picking 3 d and 2 g?", "a": "30/1001" }, { "q": "What is prob of picking 2 s and 3 w when five letters picked without replacement from {s: 2, z: 1, w: 3}?", "a": "1/6" }, { "q": "What is prob of picking 1 v, 3 f, and 1 w when five letters picked without replacement from {v: 1, s: 5, f: 3, w: 5}?", "a": "5/2002" }, { "q": "Calculate prob of picking 1 p, 1 i, 1 z, and 2 q when five letters picked without replacement from qqzzzzzpzrzziiizp.", "a": "27/3094" }, { "q": "Five letters picked without replacement from {w: 5, o: 5, b: 3}. What is prob of picking 2 o, 2 w, and 1 b?", "a": "100/429" }, { "q": "What is prob of picking 1 t, 1 c, and 3 j when five letters picked without replacement from {t: 1, j: 3, l: 3, k: 1, c: 5}?", "a": "5/1287" }, { "q": "What is prob of picking 1 d, 2 t, 1 f, and 1 i when five letters picked without replacement from tjtdfdjfytftii?", "a": "36/1001" }, { "q": "What is prob of picking 4 b and 1 w when five letters picked without replacement from {w: 4, a: 4, b: 6}?", "a": "30/1001" }, { "q": "Calculate prob of picking 3 b and 2 c when five letters picked without replacement from bbbbbbbcbbbbbbwcbb.", "a": "65/1224" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {a: 8, e: 4}?", "a": "7/99" }, { "q": "Five letters picked without replacement from {f: 7, d: 2, v: 2}. What is prob of picking 1 v, 2 f, and 2 d?", "a": "1/11" }, { "q": "What is prob of picking 2 l and 3 p when five letters picked without replacement from llppllpplpllpppll?", "a": "72/221" }, { "q": "Five letters picked without replacement from {v: 1, e: 3, m: 3, a: 3, f: 5, y: 2}. Give prob of picking 2 m, 2 y, and 1 e.", "a": "9/6188" }, { "q": "What is prob of picking 2 m and 3 p when five letters picked without replacement from {m: 15, p: 5}?", "a": "175/2584" }, { "q": "Five letters picked without replacement from bbmbmmmbbbmbb. What is prob of picking 3 m and 2 b?", "a": "280/1287" }, { "q": "Calculate prob of picking 3 r, 1 n, and 1 j when five letters picked without replacement from rjntnnrqqgnrqqqq.", "a": "1/1092" }, { "q": "Calculate prob of picking 3 k and 2 v when five letters picked without replacement from vvvkvvvvvkvvvvvkvk.", "a": "13/306" }, { "q": "Five letters picked without replacement from urrrrruuuururuuuuu. Give prob of picking 5 r.", "a": "1/408" }, { "q": "Five letters picked without replacement from {a: 3, k: 2, j: 1, d: 5, t: 3}. Give prob of picking 1 k, 1 j, 1 a, 1 t, and 1 d.", "a": "45/1001" }, { "q": "Five letters picked without replacement from {z: 2, d: 3, j: 5, k: 8}. What is prob of picking 1 d, 1 j, and 3 k?", "a": "5/51" }, { "q": "Five letters picked without replacement from {z: 2, g: 14}. What is prob of picking 4 g and 1 z?", "a": "11/24" }, { "q": "Five letters picked without replacement from {z: 5, c: 1, v: 13}. Give prob of picking 2 c and 3 v.", "a": "0" }, { "q": "Five letters picked without replacement from {x: 3, g: 6, r: 3}. What is prob of picking 2 r, 1 x, and 2 g?", "a": "15/88" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from glbblblbblllpbbllbl.", "a": "7/646" }, { "q": "What is prob of picking 2 u and 3 h when five letters picked without replacement from {u: 3, b: 5, h: 3, o: 8}?", "a": "1/3876" }, { "q": "Five letters picked without replacement from {p: 4, x: 3, c: 2, q: 8, k: 1, l: 2}. What is prob of picking 1 x, 1 q, 2 p, and 1 l?", "a": "6/323" }, { "q": "Five letters picked without replacement from {c: 3, s: 9}. Give prob of picking 3 c and 2 s.", "a": "1/22" }, { "q": "Five letters picked without replacement from xeexeeeexxeeexe. What is prob of picking 5 e?", "a": "12/143" }, { "q": "Five letters picked without replacement from {r: 2, e: 1, t: 1, y: 10}. Give prob of picking 1 r, 1 e, and 3 y.", "a": "120/1001" }, { "q": "What is prob of picking 1 i, 2 w, 1 c, and 1 p when five letters picked without replacement from {i: 2, t: 2, w: 3, p: 5, c: 1, d: 6}?", "a": "5/1938" }, { "q": "Five letters picked without replacement from {i: 5, f: 1, y: 7, e: 7}. Give prob of picking 3 e, 1 f, and 1 i.", "a": "175/15504" }, { "q": "Five letters picked without replacement from {d: 3, t: 2, m: 4, n: 2}. Give prob of picking 1 m, 2 n, and 2 d.", "a": "2/77" }, { "q": "Calculate prob of picking 1 j, 2 q, and 2 t when five letters picked without replacement from kkjkthhkhqhtqqqhk.", "a": "3/3094" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from fsssssss?", "a": "3/8" }, { "q": "Calculate prob of picking 1 u and 4 r when five letters picked without replacement from {u: 2, r: 11}.", "a": "20/39" }, { "q": "Calculate prob of picking 2 i, 1 v, and 2 t when five letters picked without replacement from {i: 3, v: 2, t: 2}.", "a": "2/7" }, { "q": "What is prob of picking 4 p and 1 g when five letters picked without replacement from ggggggppggggggpp?", "a": "1/364" }, { "q": "Calculate prob of picking 3 p and 2 i when five letters picked without replacement from ippiippiipi.", "a": "25/77" }, { "q": "Calculate prob of picking 3 t and 2 a when five letters picked without replacement from {a: 3, t: 3}.", "a": "1/2" }, { "q": "Calculate prob of picking 1 h and 4 s when five letters picked without replacement from vvsvvhvsskhvvvshsshh.", "a": "25/5168" }, { "q": "Calculate prob of picking 2 f, 1 u, and 2 c when five letters picked without replacement from fccooyuuuufcocofuuf.", "a": "6/323" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from wwwwwwwww.", "a": "1" }, { "q": "Five letters picked without replacement from uohohddyyouqood. Give prob of picking 1 d, 1 q, 2 u, and 1 o.", "a": "5/1001" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from heehhehheh?", "a": "1/42" }, { "q": "Calculate prob of picking 1 q, 1 w, 2 i, and 1 s when five letters picked without replacement from wiwqwwswyxyqiwq.", "a": "6/1001" }, { "q": "Calculate prob of picking 4 o and 1 y when five letters picked without replacement from ooyyoooyooyoooooo.", "a": "55/119" }, { "q": "Five letters picked without replacement from {h: 4, j: 4, i: 2}. Give prob of picking 3 h and 2 i.", "a": "1/63" }, { "q": "Calculate prob of picking 2 o, 1 e, 1 y, and 1 r when five letters picked without replacement from yyoovymvmryomyreore.", "a": "5/323" }, { "q": "Five letters picked without replacement from {p: 5, c: 1, s: 1, f: 8}. What is prob of picking 1 c, 3 f, and 1 s?", "a": "8/429" }, { "q": "What is prob of picking 1 h, 3 y, and 1 z when five letters picked without replacement from yzylhtzcy?", "a": "1/63" }, { "q": "Calculate prob of picking 1 k and 4 m when five letters picked without replacement from cmmgccpmgkmkgccp.", "a": "1/2184" }, { "q": "What is prob of picking 1 u and 4 x when five letters picked without replacement from uxuxxuxuxxuu?", "a": "5/44" }, { "q": "Five letters picked without replacement from {p: 2, d: 5}. What is prob of picking 5 d?", "a": "1/21" }, { "q": "Calculate prob of picking 3 y and 2 z when five letters picked without replacement from yzyzyyyyyyyyyyzyzz.", "a": "715/2142" }, { "q": "Calculate prob of picking 1 g and 4 v when five letters picked without replacement from {v: 4, g: 10}.", "a": "5/1001" }, { "q": "What is prob of picking 4 u and 1 g when five letters picked without replacement from {u: 4, g: 7, w: 1, o: 5}?", "a": "1/884" }, { "q": "Calculate prob of picking 1 e, 1 i, 1 w, and 2 n when five letters picked without replacement from {e: 4, w: 3, b: 1, i: 2, n: 4}.", "a": "72/1001" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tztttzttz.", "a": "1/21" }, { "q": "Five letters picked without replacement from wwjjdj. Give prob of picking 1 d, 2 w, and 2 j.", "a": "1/2" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {r: 9, e: 1}.", "a": "1/2" }, { "q": "Five letters picked without replacement from {s: 6, a: 4, b: 3}. Give prob of picking 4 s and 1 a.", "a": "20/429" }, { "q": "Five letters picked without replacement from {d: 2, n: 1, t: 1, h: 4, p: 1}. What is prob of picking 1 p, 2 h, 1 d, and 1 t?", "a": "2/21" }, { "q": "What is prob of picking 1 l, 1 f, and 3 t when five letters picked without replacement from {a: 2, f: 5, t: 6, u: 6, l: 1}?", "a": "25/3876" }, { "q": "Calculate prob of picking 1 j, 2 v, and 2 c when five letters picked without replacement from gcggjgcvrjjngccvjcv.", "a": "10/969" }, { "q": "Five letters picked without replacement from atntyeaetahten. What is prob of picking 2 t, 1 a, and 2 n?", "a": "9/1001" }, { "q": "What is prob of picking 1 q and 4 o when five letters picked without replacement from qooqqqoqqooqoqqooqo?", "a": "35/323" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from {m: 1, t: 12, d: 4, j: 2}.", "a": "22/323" }, { "q": "What is prob of picking 1 s and 4 g when five letters picked without replacement from ggkogsgggk?", "a": "5/84" }, { "q": "What is prob of picking 1 s, 1 k, 2 q, and 1 z when five letters picked without replacement from {s: 5, x: 2, k: 2, t: 2, z: 2, q: 2}?", "a": "20/3003" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gzggzgzgzggg?", "a": "7/99" }, { "q": "Five letters picked without replacement from nnnege. What is prob of picking 1 e, 3 n, and 1 g?", "a": "1/3" }, { "q": "Five letters picked without replacement from {g: 2, c: 1, e: 4, o: 2, h: 3}. Give prob of picking 1 c, 2 g, and 2 h.", "a": "1/264" }, { "q": "Calculate prob of picking 2 y, 2 m, and 1 v when five letters picked without replacement from yvyyvyiimyymyiymivby.", "a": "27/1292" }, { "q": "Calculate prob of picking 4 p and 1 m when five letters picked without replacement from ppvvppvvmm.", "a": "1/126" }, { "q": "Calculate prob of picking 2 k and 3 c when five letters picked without replacement from {k: 6, c: 11}.", "a": "2475/6188" }, { "q": "Calculate prob of picking 2 b and 3 h when five letters picked without replacement from {b: 9, h: 6}.", "a": "240/1001" }, { "q": "Five letters picked without replacement from npcpznnpnznznncnpnnn. Give prob of picking 2 n and 3 p.", "a": "55/3876" }, { "q": "Calculate prob of picking 4 y and 1 b when five letters picked without replacement from {x: 3, y: 5, b: 7, m: 2}.", "a": "5/884" }, { "q": "Calculate prob of picking 2 s and 3 m when five letters picked without replacement from {s: 7, m: 10}.", "a": "90/221" }, { "q": "What is prob of picking 4 h and 1 o when five letters picked without replacement from dmjssdsdohs?", "a": "0" }, { "q": "Five letters picked without replacement from iiczcicczzciz. Give prob of picking 4 z and 1 i.", "a": "4/1287" }, { "q": "What is prob of picking 1 m and 4 o when five letters picked without replacement from {o: 4, m: 5}?", "a": "5/126" }, { "q": "Five letters picked without replacement from ryyyyrrrayaayaria. Give prob of picking 1 a, 2 y, and 2 r.", "a": "375/3094" }, { "q": "Five letters picked without replacement from oooxxogoxxoooxo. Give prob of picking 4 o and 1 g.", "a": "6/143" }, { "q": "Calculate prob of picking 2 z and 3 s when five letters picked without replacement from {s: 11, z: 8}.", "a": "385/969" }, { "q": "Five letters picked without replacement from {b: 5, z: 1, j: 4, w: 1, f: 1}. What is prob of picking 5 z?", "a": "0" }, { "q": "Five letters picked without replacement from teteestettst. What is prob of picking 2 s, 1 e, and 2 t?", "a": "5/66" }, { "q": "Calculate prob of picking 2 y, 1 b, 1 x, and 1 j when five letters picked without replacement from ycxxbjjcyxcbry.", "a": "18/1001" }, { "q": "Five letters picked without replacement from lldddddddndnmm. Give prob of picking 3 d and 2 l.", "a": "4/143" }, { "q": "What is prob of picking 4 n and 1 j when five letters picked without replacement from {n: 5, j: 7}?", "a": "35/792" }, { "q": "What is prob of picking 3 f, 1 a, and 1 l when five letters picked without replacement from {g: 2, n: 1, a: 1, x: 3, l: 2, f: 3}?", "a": "1/396" }, { "q": "Five letters picked without replacement from {f: 1, t: 3, n: 2, q: 6, k: 1, r: 2}. Give prob of picking 1 f, 3 t, and 1 q.", "a": "2/1001" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from cccooccoccocccccccoc.", "a": "1001/5168" }, { "q": "What is prob of picking 1 p, 3 f, and 1 y when five letters picked without replacement from wcpycfcpyfypppwcf?", "a": "15/6188" }, { "q": "Five letters picked without replacement from qooqooooq. Give prob of picking 5 o.", "a": "1/21" }, { "q": "Calculate prob of picking 2 u, 1 h, and 2 j when five letters picked without replacement from {h: 2, j: 6, u: 9}.", "a": "270/1547" }, { "q": "What is prob of picking 1 f, 1 i, 2 x, and 1 b when five letters picked without replacement from dxfidbjfddi?", "a": "0" }, { "q": "Five letters picked without replacement from {y: 6, m: 2, p: 5}. Give prob of picking 2 m, 1 p, and 2 y.", "a": "25/429" }, { "q": "Five letters picked without replacement from vivivcmmpctititttp. Give prob of picking 1 v, 2 c, 1 m, and 1 i.", "a": "1/357" }, { "q": "Five letters picked without replacement from poxcccxuccoxcpxxouxc. What is prob of picking 3 c, 1 o, and 1 u?", "a": "35/2584" }, { "q": "Five letters picked without replacement from {g: 11, a: 2, j: 2, i: 1, u: 4}. What is prob of picking 3 g and 2 u?", "a": "165/2584" }, { "q": "Five letters picked without replacement from {f: 2, a: 5, j: 3, t: 3, z: 2, i: 1}. Give prob of picking 1 f, 2 a, and 2 j.", "a": "5/364" }, { "q": "Calculate prob of picking 1 d and 4 q when five letters picked without replacement from {j: 2, d: 7, w: 1, q: 4}.", "a": "1/286" }, { "q": "Five letters picked without replacement from ararararaaraar. What is prob of picking 5 a?", "a": "4/143" }, { "q": "Five letters picked without replacement from zzzxzzzxzxxxzxxxxxz. What is prob of picking 1 x and 4 z?", "a": "35/323" }, { "q": "Calculate prob of picking 1 t, 1 b, and 3 g when five letters picked without replacement from agbsgtttgb.", "a": "1/42" }, { "q": "Five letters picked without replacement from {z: 2, f: 2, x: 2, s: 11}. Give prob of picking 1 f, 3 s, and 1 x.", "a": "165/1547" }, { "q": "What is prob of picking 1 v and 4 j when five letters picked without replacement from {j: 10, v: 9}?", "a": "105/646" }, { "q": "Five letters picked without replacement from xqlklkxttqtqlqnqq. Give prob of picking 1 x, 2 k, 1 n, and 1 l.", "a": "3/3094" }, { "q": "Calculate prob of picking 2 h, 2 v, and 1 g when five letters picked without replacement from {d: 1, p: 1, t: 1, h: 4, g: 2, v: 2}.", "a": "2/77" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from {b: 10, r: 1, o: 5, e: 1, v: 1, s: 2}.", "a": "21/1292" }, { "q": "Calculate prob of picking 2 x and 3 p when five letters picked without replacement from xpxxxpxpxxx.", "a": "2/33" }, { "q": "Calculate prob of picking 1 t, 2 c, and 2 v when five letters picked without replacement from ucvcvuvwtvwtyvyuwwv.", "a": "5/1938" }, { "q": "Five letters picked without replacement from mqqqmmqqmqqqqq. Give prob of picking 4 m and 1 q.", "a": "5/1001" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {a: 10}?", "a": "1" }, { "q": "Five letters picked without replacement from dqqldlddqdqlldlqdd. Give prob of picking 4 d and 1 l.", "a": "25/612" }, { "q": "Five letters picked without replacement from {s: 2, b: 1, e: 1, c: 3, p: 3}. What is prob of picking 1 e, 3 c, and 1 b?", "a": "1/252" }, { "q": "What is prob of picking 1 h, 2 v, and 2 f when five letters picked without replacement from hfvifhvlfiflllbbfvv?", "a": "10/969" }, { "q": "Calculate prob of picking 1 a, 1 u, and 3 b when five letters picked without replacement from buzuaubtzbbabbzuu.", "a": "50/1547" }, { "q": "Five letters picked without replacement from mbjwmbbbwjjjbmbj. What is prob of picking 4 j and 1 w?", "a": "5/2184" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {n: 1, o: 6, r: 6}.", "a": "2/429" }, { "q": "Calculate prob of picking 1 l, 1 x, 1 v, and 2 y when five letters picked without replacement from lxvvlxvxvylylx.", "a": "32/1001" }, { "q": "Five letters picked without replacement from {z: 16, k: 3}. Give prob of picking 2 z and 3 k.", "a": "10/969" }, { "q": "Calculate prob of picking 1 u and 4 m when five letters picked without replacement from juuummmjmmy.", "a": "5/154" }, { "q": "Five letters picked without replacement from aggaghggaaaglagggoaa. What is prob of picking 1 g, 3 o, and 1 a?", "a": "0" }, { "q": "Five letters picked without replacement from {x: 2, t: 6, o: 3, c: 4, s: 5}. Give prob of picking 1 s, 1 x, 1 c, 1 t, and 1 o.", "a": "15/323" }, { "q": "Five letters picked without replacement from {h: 3, j: 7, o: 2, i: 2}. What is prob of picking 3 j, 1 i, and 1 o?", "a": "10/143" }, { "q": "Five letters picked without replacement from ucucuubibcuub. What is prob of picking 1 c, 2 b, and 2 u?", "a": "15/143" }, { "q": "Calculate prob of picking 2 c, 1 n, 1 x, and 1 u when five letters picked without replacement from {n: 1, u: 1, c: 2, x: 1, d: 3}.", "a": "1/56" }, { "q": "Five letters picked without replacement from yyymyyhyyhyhy. Give prob of picking 5 y.", "a": "14/143" }, { "q": "What is prob of picking 2 u and 3 n when five letters picked without replacement from nnnuunnnn?", "a": "5/18" }, { "q": "Five letters picked without replacement from {n: 1, p: 1, b: 3, l: 2}. Give prob of picking 1 p, 2 b, and 2 l.", "a": "1/7" }, { "q": "Five letters picked without replacement from ffqfnnnqffnnqqnq. Give prob of picking 2 f, 1 q, and 2 n.", "a": "125/728" }, { "q": "What is prob of picking 1 r, 1 u, 1 o, and 2 k when five letters picked without replacement from {u: 1, o: 4, k: 3, r: 4, n: 4}?", "a": "1/91" }, { "q": "Five letters picked without replacement from {i: 4, t: 3, a: 2}. What is prob of picking 3 t and 2 i?", "a": "1/21" }, { "q": "What is prob of picking 1 j, 2 p, 1 d, and 1 v when five letters picked without replacement from sspdpvjsspdseepssp?", "a": "5/2142" }, { "q": "What is prob of picking 2 y, 2 u, and 1 r when five letters picked without replacement from uyuwyuuruuu?", "a": "1/22" }, { "q": "Five letters picked without replacement from {z: 4, s: 9}. Give prob of picking 3 s and 2 z.", "a": "56/143" }, { "q": "Calculate prob of picking 2 l, 1 n, 1 v, and 1 y when five letters picked without replacement from {z: 1, y: 4, v: 1, r: 2, l: 3, n: 2}.", "a": "8/429" }, { "q": "Calculate prob of picking 3 v, 1 y, and 1 g when five letters picked without replacement from {z: 1, v: 5, g: 6, y: 6}.", "a": "5/119" }, { "q": "Five letters picked without replacement from lrrllrrlrrrllllrlll. Give prob of picking 5 l.", "a": "77/1938" }, { "q": "Five letters picked without replacement from {v: 2, i: 9}. What is prob of picking 5 i?", "a": "3/11" }, { "q": "Calculate prob of picking 1 k and 4 x when five letters picked without replacement from kkxxnnkkxkkxkxkk.", "a": "15/1456" }, { "q": "What is prob of picking 1 e, 1 v, and 3 f when five letters picked without replacement from vftaafnvevvvfv?", "a": "3/1001" }, { "q": "Calculate prob of picking 4 n and 1 l when five letters picked without replacement from annlklnnkklknalka.", "a": "5/1547" }, { "q": "Five letters picked without replacement from {u: 2, c: 13}. Give prob of picking 2 c and 3 u.", "a": "0" }, { "q": "Five letters picked without replacement from ylycdycyurlryuyl. What is prob of picking 2 c, 1 y, and 2 r?", "a": "1/728" }, { "q": "Five letters picked without replacement from nppnnnpnnpnpp. What is prob of picking 5 p?", "a": "2/429" }, { "q": "Five letters picked without replacement from uusuujoujoouosux. What is prob of picking 2 j, 1 u, and 2 o?", "a": "1/104" }, { "q": "Five letters picked without replacement from mmssmsmmsmmssmmmss. Give prob of picking 5 m.", "a": "1/34" }, { "q": "Five letters picked without replacement from {k: 4, x: 11}. Give prob of picking 3 x and 2 k.", "a": "30/91" }, { "q": "Five letters picked without replacement from eefeeeeefefeeeee. Give prob of picking 4 f and 1 e.", "a": "0" }, { "q": "What is prob of picking 1 e and 4 t when five letters picked without replacement from {t: 4, i: 8, e: 2, y: 1, b: 3}?", "a": "1/4284" }, { "q": "What is prob of picking 4 n and 1 k when five letters picked without replacement from {k: 13, n: 4}?", "a": "1/476" }, { "q": "Calculate prob of picking 2 r, 1 t, and 2 q when five letters picked without replacement from rqrrqrnrtqr.", "a": "15/154" }, { "q": "What is prob of picking 2 d, 2 g, and 1 z when five letters picked without replacement from dpgggdpzt?", "a": "1/42" }, { "q": "Calculate prob of picking 2 b and 3 a when five letters picked without replacement from {a: 5, s: 1, b: 2}.", "a": "5/28" }, { "q": "Five letters picked without replacement from uuuuuuuuuu. What is prob of picking 5 u?", "a": "1" }, { "q": "Calculate prob of picking 4 y and 1 u when five letters picked without replacement from {k: 1, u: 1, y: 5, j: 5}.", "a": "5/792" }, { "q": "Five letters picked without replacement from {u: 3, i: 4, y: 4}. What is prob of picking 3 i and 2 u?", "a": "2/77" }, { "q": "What is prob of picking 3 i and 2 w when five letters picked without replacement from {i: 4, e: 7, w: 6}?", "a": "15/1547" }, { "q": "Five letters picked without replacement from {k: 9, o: 5, r: 4}. What is prob of picking 1 r and 4 o?", "a": "5/2142" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from rrllrlrrlrll?", "a": "1/132" }, { "q": "Five letters picked without replacement from ppypttyyt. Give prob of picking 3 p and 2 t.", "a": "1/42" }, { "q": "Five letters picked without replacement from lplppppplppppll. Give prob of picking 5 p.", "a": "12/143" }, { "q": "Calculate prob of picking 2 e, 1 y, and 2 t when five letters picked without replacement from {t: 3, e: 6, y: 2}.", "a": "15/77" }, { "q": "Calculate prob of picking 1 m and 4 l when five letters picked without replacement from ylylllllyllymmmm.", "a": "5/78" }, { "q": "Five letters picked without replacement from tttatttplt. What is prob of picking 1 p, 1 l, and 3 t?", "a": "5/36" }, { "q": "Calculate prob of picking 2 v and 3 a when five letters picked without replacement from {a: 8, y: 2, v: 3}.", "a": "56/429" }, { "q": "Calculate prob of picking 1 y and 4 j when five letters picked without replacement from {j: 7, y: 1}.", "a": "5/8" }, { "q": "Calculate prob of picking 4 j and 1 l when five letters picked without replacement from jjjpjjjjjljpp.", "a": "14/143" }, { "q": "Five letters picked without replacement from {p: 1, z: 8}. What is prob of picking 4 p and 1 z?", "a": "0" }, { "q": "What is prob of picking 3 c and 2 p when five letters picked without replacement from eymcpk?", "a": "0" }, { "q": "Five letters picked without replacement from {i: 2, f: 3, y: 5, k: 1, x: 2}. What is prob of picking 3 k, 1 x, and 1 y?", "a": "0" }, { "q": "What is prob of picking 1 w, 1 u, 1 x, 1 o, and 1 s when five letters picked without replacement from {n: 1, w: 1, o: 1, x: 1, u: 1, s: 1}?", "a": "1/6" }, { "q": "Calculate prob of picking 4 g and 1 z when five letters picked without replacement from zzgzzgppppzzgzpcppg.", "a": "7/11628" }, { "q": "Five letters picked without replacement from {o: 4, f: 2, b: 2, p: 2, w: 5, m: 3}. Give prob of picking 3 o, 1 m, and 1 w.", "a": "5/714" }, { "q": "Five letters picked without replacement from sslllsll. What is prob of picking 3 l and 2 s?", "a": "15/28" }, { "q": "Five letters picked without replacement from oohohohvhldho. What is prob of picking 4 h and 1 o?", "a": "25/1287" }, { "q": "What is prob of picking 1 e and 4 o when five letters picked without replacement from {o: 8, e: 12}?", "a": "35/646" }, { "q": "What is prob of picking 4 z and 1 j when five letters picked without replacement from zljlzzjz?", "a": "1/28" }, { "q": "Five letters picked without replacement from {c: 2, b: 4, u: 1, g: 7, k: 2, r: 1}. Give prob of picking 2 k, 1 u, 1 b, and 1 g.", "a": "1/221" }, { "q": "Five letters picked without replacement from ddddddldddllddldd. Give prob of picking 3 l and 2 d.", "a": "6/119" }, { "q": "Five letters picked without replacement from zppzzkhzkzkhppkhkzu. What is prob of picking 4 k and 1 z?", "a": "5/1938" }, { "q": "Five letters picked without replacement from ynkeykkkeeokeyney. What is prob of picking 3 e, 1 y, and 1 k?", "a": "50/1547" }, { "q": "What is prob of picking 4 p and 1 y when five letters picked without replacement from {p: 4, c: 6, y: 1, w: 2}?", "a": "1/1287" }, { "q": "Calculate prob of picking 1 h, 1 n, and 3 o when five letters picked without replacement from {h: 4, o: 15, n: 1}.", "a": "455/3876" }, { "q": "Five letters picked without replacement from {q: 3, u: 3, s: 2, r: 4}. What is prob of picking 2 r, 2 s, and 1 u?", "a": "1/44" }, { "q": "Calculate prob of picking 1 z, 3 m, and 1 q when five letters picked without replacement from zzmqz.", "a": "0" }, { "q": "Calculate prob of picking 1 g, 3 d, and 1 q when five letters picked without replacement from {l: 2, q: 11, g: 2, d: 4}.", "a": "22/2907" }, { "q": "Five letters picked without replacement from {g: 4, q: 5, v: 1, t: 5}. Give prob of picking 5 t.", "a": "1/3003" }, { "q": "What is prob of picking 2 c and 3 b when five letters picked without replacement from ccccccbccccccccbbc?", "a": "5/408" }, { "q": "What is prob of picking 3 l and 2 r when five letters picked without replacement from {r: 2, l: 4}?", "a": "2/3" }, { "q": "Calculate prob of picking 2 v, 1 c, and 2 d when five letters picked without replacement from {c: 1, v: 2, d: 2, k: 1, j: 4, a: 5}.", "a": "1/3003" }, { "q": "Five letters picked without replacement from csscsssffsssssccff. What is prob of picking 2 c, 1 f, and 2 s?", "a": "15/119" }, { "q": "Five letters picked without replacement from {h: 2, w: 1, y: 2, a: 4, q: 1, g: 4}. What is prob of picking 1 g, 1 q, 1 w, 1 y, and 1 h?", "a": "8/1001" }, { "q": "Calculate prob of picking 1 x, 2 u, and 2 a when five letters picked without replacement from akxkaaakaaxaaakkuaua.", "a": "55/7752" }, { "q": "Calculate prob of picking 2 a and 3 s when five letters picked without replacement from {a: 3, s: 6}.", "a": "10/21" }, { "q": "Calculate prob of picking 1 b, 1 k, and 3 s when five letters picked without replacement from {k: 1, s: 3, b: 1, x: 4, o: 1}.", "a": "1/252" }, { "q": "Five letters picked without replacement from jympmjptmprmmrmrym. Give prob of picking 3 r and 2 y.", "a": "1/8568" }, { "q": "What is prob of picking 1 q, 1 a, 2 k, and 1 g when five letters picked without replacement from {a: 1, q: 3, i: 1, k: 7, g: 2}?", "a": "9/143" }, { "q": "Five letters picked without replacement from {h: 9, m: 1, z: 5, s: 2}. Give prob of picking 2 z and 3 h.", "a": "30/221" }, { "q": "Five letters picked without replacement from {g: 1, i: 3, j: 5, e: 3, q: 2, z: 2}. Give prob of picking 1 g, 3 e, and 1 q.", "a": "1/2184" }, { "q": "Five letters picked without replacement from {u: 4, e: 1, w: 8, i: 1, c: 3}. Give prob of picking 1 i, 1 e, and 3 w.", "a": "2/221" }, { "q": "Five letters picked without replacement from zzrzxrzzpgpprxprzpgp. Give prob of picking 3 r and 2 x.", "a": "1/3876" }, { "q": "Calculate prob of picking 1 f and 4 m when five letters picked without replacement from mnfxxxcnxmmfnxbfmmnf.", "a": "5/3876" }, { "q": "What is prob of picking 4 o and 1 x when five letters picked without replacement from {x: 2, o: 16}?", "a": "65/153" }, { "q": "Five letters picked without replacement from {j: 6, s: 3, d: 7}. What is prob of picking 3 d and 2 s?", "a": "5/208" }, { "q": "Calculate prob of picking 2 s and 3 m when five letters picked without replacement from {m: 5, w: 1, a: 1, s: 5}.", "a": "25/198" }, { "q": "Calculate prob of picking 1 f, 3 o, and 1 l when five letters picked without replacement from {f: 1, l: 5, o: 5}.", "a": "25/231" }, { "q": "Calculate prob of picking 3 r, 1 s, and 1 m when five letters picked without replacement from ausurrusussaarssm.", "a": "3/3094" }, { "q": "What is prob of picking 3 d, 1 v, and 1 s when five letters picked without replacement from tvvsdvvvvstsvdvtvvd?", "a": "5/1938" }, { "q": "Five letters picked without replacement from vqvvvvvvvvvvvvvvqv. What is prob of picking 4 v and 1 q?", "a": "65/153" }, { "q": "Calculate prob of picking 2 g and 3 p when five letters picked without replacement from pgppgppppp.", "a": "2/9" }, { "q": "Calculate prob of picking 3 b and 2 r when five letters picked without replacement from brbbbrbrbrbbrbrbb.", "a": "2475/6188" }, { "q": "Five letters picked without replacement from {c: 1, o: 1, f: 1, d: 1, b: 3, v: 1}. Give prob of picking 1 c, 2 b, 1 d, and 1 o.", "a": "3/56" }, { "q": "Five letters picked without replacement from wwwnnnccncmcmnmwcnco. What is prob of picking 1 c, 2 n, 1 m, and 1 o?", "a": "45/2584" }, { "q": "Calculate prob of picking 1 v, 2 x, and 2 d when five letters picked without replacement from sdxxsdssvdsdsd.", "a": "5/1001" }, { "q": "Five letters picked without replacement from teetuttteeketktzewu. Give prob of picking 1 u, 2 e, and 2 t.", "a": "35/646" }, { "q": "Five letters picked without replacement from eylyllpkll. Give prob of picking 1 p, 1 k, 1 e, 1 l, and 1 y.", "a": "5/126" }, { "q": "Five letters picked without replacement from {t: 3, e: 6, l: 2, z: 3}. Give prob of picking 3 e and 2 t.", "a": "30/1001" }, { "q": "What is prob of picking 1 z and 4 y when five letters picked without replacement from yzyyyzzzyyyzzz?", "a": "35/286" }, { "q": "Five letters picked without replacement from ltblmmtvvmmltvmttvat. Give prob of picking 1 m, 2 t, and 2 l.", "a": "75/5168" }, { "q": "What is prob of picking 1 b, 2 u, and 2 k when five letters picked without replacement from {j: 1, p: 2, b: 1, k: 3, u: 5}?", "a": "5/132" }, { "q": "Five letters picked without replacement from {n: 2, v: 6, i: 3, r: 9}. What is prob of picking 2 i, 1 v, 1 r, and 1 n?", "a": "27/1292" }, { "q": "Five letters picked without replacement from {h: 1, a: 2, b: 1, x: 3, p: 1, o: 5}. Give prob of picking 2 o, 2 x, and 1 h.", "a": "10/429" }, { "q": "Five letters picked without replacement from {h: 3, v: 2, y: 1}. Give prob of picking 3 h and 2 v.", "a": "1/6" }, { "q": "Five letters picked without replacement from ooooo. Give prob of picking 5 o.", "a": "1" }, { "q": "Five letters picked without replacement from {p: 9}. Give prob of picking 5 p.", "a": "1" }, { "q": "What is prob of picking 5 l when five letters picked without replacement from {x: 8, a: 1, h: 3, l: 5, g: 2}?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {l: 3, c: 3, j: 4, v: 4, s: 6}. What is prob of picking 2 v, 2 j, and 1 l?", "a": "9/1292" }, { "q": "Five letters picked without replacement from icciiciicfficcc. What is prob of picking 2 f and 3 i?", "a": "20/3003" }, { "q": "Calculate prob of picking 1 k, 3 e, and 1 n when five letters picked without replacement from enkekkfeffekkeeknkne.", "a": "245/5168" }, { "q": "Five letters picked without replacement from mkkkkvknvinmmfkkivv. Give prob of picking 1 i, 1 v, 2 m, and 1 n.", "a": "4/969" }, { "q": "Five letters picked without replacement from qnnnnnnnqnqnnqqq. Give prob of picking 4 q and 1 n.", "a": "25/728" }, { "q": "Five letters picked without replacement from {g: 2, d: 2, o: 2, m: 2}. What is prob of picking 2 d, 2 m, and 1 g?", "a": "1/28" }, { "q": "Calculate prob of picking 1 b, 1 l, 1 n, 1 e, and 1 o when five letters picked without replacement from {e: 1, l: 3, z: 4, b: 6, o: 1, n: 5}.", "a": "15/2584" }, { "q": "Five letters picked without replacement from {i: 12, z: 1}. What is prob of picking 4 i and 1 z?", "a": "5/13" }, { "q": "What is prob of picking 2 d and 3 k when five letters picked without replacement from {k: 12, d: 6}?", "a": "275/714" }, { "q": "Five letters picked without replacement from {j: 2, v: 3, a: 1}. What is prob of picking 1 a, 2 v, and 2 j?", "a": "1/2" }, { "q": "Calculate prob of picking 2 v, 2 e, and 1 n when five letters picked without replacement from {n: 1, y: 3, v: 3, e: 4, w: 4, p: 3}.", "a": "1/476" }, { "q": "What is prob of picking 1 j and 4 q when five letters picked without replacement from {q: 4, j: 9}?", "a": "1/143" }, { "q": "Calculate prob of picking 1 v, 1 y, 2 b, and 1 r when five letters picked without replacement from gvbbggyvrgvrvvg.", "a": "10/3003" }, { "q": "Five letters picked without replacement from iivivvyvvitiyvyikvty. Give prob of picking 1 t, 3 v, and 1 y.", "a": "35/1938" }, { "q": "Calculate prob of picking 3 m, 1 j, and 1 o when five letters picked without replacement from {w: 1, j: 4, i: 2, o: 1, m: 11}.", "a": "55/969" }, { "q": "What is prob of picking 1 g, 1 f, 2 i, and 1 p when five letters picked without replacement from {g: 3, p: 1, i: 2, f: 2, s: 1}?", "a": "1/21" }, { "q": "Five letters picked without replacement from {q: 7, p: 1, a: 1, n: 2, d: 1}. Give prob of picking 2 q, 2 n, and 1 d.", "a": "7/264" }, { "q": "Five letters picked without replacement from bbbssbbbbbsbssbbb. What is prob of picking 5 b?", "a": "198/1547" }, { "q": "Five letters picked without replacement from yuumzzuyxzyzzzyuxy. Give prob of picking 4 u and 1 m.", "a": "1/8568" }, { "q": "Calculate prob of picking 1 s, 3 t, and 1 x when five letters picked without replacement from {o: 1, t: 3, c: 3, s: 3, x: 4, n: 1}.", "a": "4/1001" }, { "q": "Five letters picked without replacement from yyvioxoux. Give prob of picking 2 o, 1 x, 1 v, and 1 u.", "a": "1/63" }, { "q": "Five letters picked without replacement from {z: 1, e: 3, h: 3, s: 1, b: 2, f: 4}. Give prob of picking 1 f, 1 z, 1 s, 1 h, and 1 b.", "a": "12/1001" }, { "q": "What is prob of picking 2 q and 3 u when five letters picked without replacement from {u: 5, q: 14}?", "a": "455/5814" }, { "q": "Calculate prob of picking 2 f and 3 b when five letters picked without replacement from fbfbbbrbbfbrfbffr.", "a": "30/221" }, { "q": "What is prob of picking 2 h and 3 j when five letters picked without replacement from {z: 2, j: 6, h: 11}?", "a": "275/2907" }, { "q": "Five letters picked without replacement from ailrldirlarrr. Give prob of picking 2 i, 1 a, 1 l, and 1 r.", "a": "10/429" }, { "q": "Five letters picked without replacement from cyyqyeytyc. What is prob of picking 1 y, 1 t, 2 c, and 1 q?", "a": "5/252" }, { "q": "What is prob of picking 4 y and 1 h when five letters picked without replacement from {z: 2, y: 11, h: 1}?", "a": "15/91" }, { "q": "What is prob of picking 1 u, 3 v, and 1 r when five letters picked without replacement from {u: 2, r: 6, q: 9, v: 3}?", "a": "1/1292" }, { "q": "Five letters picked without replacement from {i: 1, r: 4, y: 4, d: 2, z: 1, t: 1}. What is prob of picking 3 y and 2 d?", "a": "4/1287" }, { "q": "What is prob of picking 2 m, 1 k, and 2 b when five letters picked without replacement from mbkmbb?", "a": "1/2" }, { "q": "What is prob of picking 1 k, 2 w, and 2 o when five letters picked without replacement from kkwokkoouww?", "a": "6/77" }, { "q": "Five letters picked without replacement from vvmmw. What is prob of picking 1 m and 4 v?", "a": "0" }, { "q": "Five letters picked without replacement from xpabbdxxx. Give prob of picking 1 p, 3 x, and 1 d.", "a": "2/63" }, { "q": "Five letters picked without replacement from {n: 1, p: 1, r: 4, g: 4, v: 3}. Give prob of picking 2 r, 1 p, and 2 v.", "a": "2/143" }, { "q": "Calculate prob of picking 3 t and 2 p when five letters picked without replacement from {m: 6, p: 2, t: 12}.", "a": "55/3876" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from {o: 5}?", "a": "1" }, { "q": "Five letters picked without replacement from {f: 9, a: 3, t: 1}. What is prob of picking 1 t, 1 f, and 3 a?", "a": "1/143" }, { "q": "What is prob of picking 3 h and 2 n when five letters picked without replacement from dxxhhhxdndknhddxxhx?", "a": "5/5814" }, { "q": "What is prob of picking 4 w and 1 b when five letters picked without replacement from iiwbwbbibbbbiiwb?", "a": "0" }, { "q": "Five letters picked without replacement from bbbbxbxbbbbbbbbbxbbb. What is prob of picking 5 b?", "a": "91/228" }, { "q": "Five letters picked without replacement from czzccc. What is prob of picking 3 c and 2 z?", "a": "2/3" }, { "q": "Calculate prob of picking 4 w and 1 y when five letters picked without replacement from wyyyyyyyryyyywywrwy.", "a": "13/11628" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sssssssss?", "a": "1" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from wwiiwiiiwwiiw.", "a": "7/429" }, { "q": "What is prob of picking 1 u, 1 h, 1 a, 1 x, and 1 b when five letters picked without replacement from {b: 1, h: 1, x: 8, c: 2, u: 5, a: 2}?", "a": "20/2907" }, { "q": "Five letters picked without replacement from zzzzzzzz. What is prob of picking 5 z?", "a": "1" }, { "q": "What is prob of picking 1 h, 2 x, 1 n, and 1 v when five letters picked without replacement from nxgygvnhgxhxn?", "a": "2/143" }, { "q": "Calculate prob of picking 1 l and 4 t when five letters picked without replacement from {g: 1, b: 2, t: 9, l: 3}.", "a": "18/143" }, { "q": "Calculate prob of picking 4 x and 1 c when five letters picked without replacement from {c: 4, x: 11}.", "a": "40/91" }, { "q": "Calculate prob of picking 2 u, 1 l, and 2 v when five letters picked without replacement from {k: 2, u: 4, l: 1, w: 1, v: 4, m: 2}.", "a": "18/1001" }, { "q": "Calculate prob of picking 2 q, 2 p, and 1 u when five letters picked without replacement from {p: 2, n: 1, u: 3, q: 3}.", "a": "1/14" }, { "q": "Calculate prob of picking 2 v, 2 m, and 1 k when five letters picked without replacement from mkmmllkmlkmlmmvllkkv.", "a": "35/5168" }, { "q": "Five letters picked without replacement from uvjqejujhvjjuhvvhjj. What is prob of picking 1 e, 1 j, and 3 v?", "a": "7/2907" }, { "q": "Five letters picked without replacement from eeeipepe. What is prob of picking 3 e and 2 p?", "a": "5/28" }, { "q": "Five letters picked without replacement from knklknknknrrkzl. Give prob of picking 2 r, 2 k, and 1 l.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {w: 4, b: 2, c: 1, s: 1, j: 1}. What is prob of picking 1 b and 4 w?", "a": "1/63" }, { "q": "Calculate prob of picking 1 c, 3 m, and 1 l when five letters picked without replacement from {g: 1, m: 4, w: 2, l: 1, c: 3, q: 2}.", "a": "4/429" }, { "q": "Five letters picked without replacement from xhhxexhehhhhehheexeh. Give prob of picking 3 e and 2 h.", "a": "75/1292" }, { "q": "Five letters picked without replacement from buubuubu. What is prob of picking 1 b and 4 u?", "a": "15/56" }, { "q": "What is prob of picking 4 g and 1 k when five letters picked without replacement from ggzgkkgfkkz?", "a": "2/231" }, { "q": "What is prob of picking 1 k and 4 l when five letters picked without replacement from kklllllkollolklollk?", "a": "275/1938" }, { "q": "Five letters picked without replacement from {p: 15, h: 3, r: 1}. Give prob of picking 4 p and 1 r.", "a": "455/3876" }, { "q": "Five letters picked without replacement from aaaaaeaaaanee. What is prob of picking 1 e and 4 a?", "a": "42/143" }, { "q": "Five letters picked without replacement from {x: 1, o: 4, n: 3, q: 7}. Give prob of picking 1 o, 2 q, and 2 n.", "a": "12/143" }, { "q": "Calculate prob of picking 1 r, 2 y, and 2 z when five letters picked without replacement from rbsyyzryyysyzyscyyr.", "a": "3/323" }, { "q": "Five letters picked without replacement from aaakaaaakakaaaaaak. What is prob of picking 2 a and 3 k?", "a": "13/306" }, { "q": "What is prob of picking 3 w and 2 i when five letters picked without replacement from {w: 9, i: 8, p: 2}?", "a": "196/969" }, { "q": "Five letters picked without replacement from {e: 1, x: 2, i: 4}. What is prob of picking 4 i and 1 x?", "a": "2/21" }, { "q": "What is prob of picking 4 t and 1 v when five letters picked without replacement from {t: 5, v: 1, c: 2}?", "a": "5/56" }, { "q": "Five letters picked without replacement from uxxxuuuu. Give prob of picking 4 u and 1 x.", "a": "15/56" }, { "q": "What is prob of picking 1 h and 4 w when five letters picked without replacement from {h: 2, r: 1, o: 1, j: 1, w: 5}?", "a": "5/126" }, { "q": "What is prob of picking 1 i and 4 d when five letters picked without replacement from {s: 4, i: 2, r: 4, d: 4, h: 4}?", "a": "1/4284" }, { "q": "Calculate prob of picking 2 q, 1 l, 1 p, and 1 u when five letters picked without replacement from {q: 7, p: 1, l: 1, v: 1, u: 4}.", "a": "6/143" }, { "q": "Five letters picked without replacement from {n: 2, y: 9}. What is prob of picking 3 y and 2 n?", "a": "2/11" }, { "q": "Five letters picked without replacement from kkftsskktfttfttbkt. What is prob of picking 1 f, 1 k, 1 t, and 2 s?", "a": "5/408" }, { "q": "Calculate prob of picking 3 w and 2 d when five letters picked without replacement from ewwwdnneedrwd.", "a": "4/429" }, { "q": "Five letters picked without replacement from {b: 3, m: 2, s: 2, i: 6}. Give prob of picking 4 i and 1 s.", "a": "10/429" }, { "q": "Five letters picked without replacement from {z: 2, j: 1, e: 1, k: 3, s: 4, n: 2}. Give prob of picking 2 n, 1 e, and 2 z.", "a": "1/1287" }, { "q": "Calculate prob of picking 3 x and 2 o when five letters picked without replacement from {p: 1, n: 4, g: 3, z: 1, x: 5, o: 2}.", "a": "5/2184" }, { "q": "What is prob of picking 1 j and 4 k when five letters picked without replacement from {k: 5, j: 1, m: 1}?", "a": "5/21" }, { "q": "Calculate prob of picking 1 e, 3 i, and 1 p when five letters picked without replacement from {p: 5, e: 5, i: 5}.", "a": "250/3003" }, { "q": "Five letters picked without replacement from mpymytyprrptrwrp. Give prob of picking 1 w, 1 p, 2 r, and 1 m.", "a": "1/91" }, { "q": "Calculate prob of picking 3 l, 1 w, and 1 h when five letters picked without replacement from hwlhbbwlal.", "a": "1/63" }, { "q": "Five letters picked without replacement from wtddwwwuwgdzt. Give prob of picking 2 w, 1 g, and 2 t.", "a": "10/1287" }, { "q": "Five letters picked without replacement from qotwtctzoctcctt. What is prob of picking 2 o, 1 q, and 2 t?", "a": "5/1001" }, { "q": "Five letters picked without replacement from {g: 2, t: 2, f: 4, p: 1, k: 1, x: 1}. What is prob of picking 2 g, 1 p, and 2 t?", "a": "1/462" }, { "q": "Five letters picked without replacement from {g: 2, t: 1, e: 4, z: 10}. What is prob of picking 4 z and 1 e?", "a": "30/221" }, { "q": "Five letters picked without replacement from dddddddddddnddddd. Give prob of picking 1 n and 4 d.", "a": "5/17" }, { "q": "Five letters picked without replacement from {y: 16, l: 2}. Give prob of picking 5 y.", "a": "26/51" }, { "q": "Five letters picked without replacement from {y: 12, s: 3, v: 4}. Give prob of picking 3 y, 1 s, and 1 v.", "a": "220/969" }, { "q": "Five letters picked without replacement from bbbrbbrbrbb. What is prob of picking 2 r and 3 b?", "a": "4/11" }, { "q": "Calculate prob of picking 1 s, 1 g, 2 b, and 1 h when five letters picked without replacement from {g: 6, b: 5, h: 3, s: 4}.", "a": "10/119" }, { "q": "Five letters picked without replacement from jgcpuguuuvgggu. Give prob of picking 1 g and 4 u.", "a": "25/2002" }, { "q": "Five letters picked without replacement from {n: 2, o: 9, x: 2, h: 1, q: 3, y: 1}. Give prob of picking 1 q, 1 y, 2 n, and 1 o.", "a": "3/952" }, { "q": "What is prob of picking 3 t, 1 p, and 1 s when five letters picked without replacement from {s: 1, t: 5, p: 3, h: 3, d: 7}?", "a": "5/1938" }, { "q": "Five letters picked without replacement from {i: 15, y: 5}. Give prob of picking 3 y and 2 i.", "a": "175/2584" }, { "q": "Calculate prob of picking 1 w, 1 r, and 3 y when five letters picked without replacement from uurwyuawuyuwuuyayurw.", "a": "2/969" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from {h: 2, x: 5, k: 8}.", "a": "8/429" }, { "q": "Five letters picked without replacement from skkhkskshhkhsshwss. Give prob of picking 1 h, 2 s, and 2 k.", "a": "25/204" }, { "q": "Calculate prob of picking 2 n, 1 h, and 2 l when five letters picked without replacement from lhthtthlnttttltnnh.", "a": "1/238" }, { "q": "Five letters picked without replacement from {l: 7, g: 2, y: 1, s: 7}. What is prob of picking 1 l, 1 y, 1 s, and 2 g?", "a": "7/884" }, { "q": "Five letters picked without replacement from {g: 5, u: 1, w: 1}. Give prob of picking 2 u and 3 g.", "a": "0" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {h: 1, f: 17}?", "a": "13/18" }, { "q": "Calculate prob of picking 2 x, 2 d, and 1 j when five letters picked without replacement from jdjxddxdd.", "a": "10/63" }, { "q": "Calculate prob of picking 1 q and 4 a when five letters picked without replacement from qqaaaaakqkkakk.", "a": "45/2002" }, { "q": "Five letters picked without replacement from caaeaerceececeeacem. Give prob of picking 1 e, 3 a, and 1 c.", "a": "40/2907" }, { "q": "What is prob of picking 1 y, 3 d, and 1 q when five letters picked without replacement from {l: 2, m: 1, y: 4, d: 3, q: 1, p: 2}?", "a": "4/1287" }, { "q": "Five letters picked without replacement from wnnnnnnn. Give prob of picking 5 n.", "a": "3/8" }, { "q": "Five letters picked without replacement from {k: 3, g: 3, d: 2, j: 11}. What is prob of picking 1 d, 2 g, and 2 k?", "a": "1/646" }, { "q": "Five letters picked without replacement from {j: 4, p: 10}. What is prob of picking 2 p and 3 j?", "a": "90/1001" }, { "q": "Calculate prob of picking 1 d and 4 o when five letters picked without replacement from doddodddddddddoodd.", "a": "1/612" }, { "q": "What is prob of picking 3 n and 2 w when five letters picked without replacement from nnwnnnnnw?", "a": "5/18" }, { "q": "What is prob of picking 3 g and 2 b when five letters picked without replacement from {g: 7, m: 10, b: 2}?", "a": "35/11628" }, { "q": "What is prob of picking 4 v and 1 q when five letters picked without replacement from {v: 10, q: 4}?", "a": "60/143" }, { "q": "Five letters picked without replacement from {v: 9, g: 3, h: 3, r: 2}. Give prob of picking 1 r, 3 h, and 1 g.", "a": "3/3094" }, { "q": "Five letters picked without replacement from {p: 4, a: 1, r: 3, l: 4, m: 2, s: 1}. Give prob of picking 1 a and 4 p.", "a": "1/3003" }, { "q": "Five letters picked without replacement from keeeeek. Give prob of picking 3 e and 2 k.", "a": "10/21" }, { "q": "What is prob of picking 2 t, 2 p, and 1 s when five letters picked without replacement from {o: 1, s: 6, t: 2, w: 2, b: 1, p: 2}?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {w: 2, p: 5, i: 11}. What is prob of picking 3 i and 2 w?", "a": "55/2856" }, { "q": "Five letters picked without replacement from aaaaccccaccacc. What is prob of picking 2 c and 3 a?", "a": "40/143" }, { "q": "Calculate prob of picking 2 w, 2 m, and 1 g when five letters picked without replacement from wwgwwwwwwmwgmgg.", "a": "48/1001" }, { "q": "Five letters picked without replacement from {l: 10, k: 4}. Give prob of picking 2 l and 3 k.", "a": "90/1001" }, { "q": "Five letters picked without replacement from {g: 13, d: 4}. Give prob of picking 2 g and 3 d.", "a": "6/119" }, { "q": "What is prob of picking 1 n, 1 v, 2 u, and 1 a when five letters picked without replacement from {v: 2, u: 8, a: 5, n: 1}?", "a": "5/78" }, { "q": "What is prob of picking 1 k, 2 y, 1 n, and 1 r when five letters picked without replacement from {y: 2, k: 1, t: 1, r: 3, n: 4}?", "a": "2/77" }, { "q": "What is prob of picking 3 y and 2 q when five letters picked without replacement from {q: 7, y: 4, z: 1}?", "a": "7/66" }, { "q": "Five letters picked without replacement from {b: 1, r: 5, z: 2, j: 3, m: 2, u: 1}. What is prob of picking 1 u, 1 j, 2 z, and 1 r?", "a": "15/2002" }, { "q": "Calculate prob of picking 1 w and 4 d when five letters picked without replacement from wdddwddddddddddd.", "a": "11/24" }, { "q": "Five letters picked without replacement from ookiww. Give prob of picking 4 o and 1 i.", "a": "0" }, { "q": "Calculate prob of picking 4 h and 1 y when five letters picked without replacement from yyhhhhyhh.", "a": "5/14" }, { "q": "Five letters picked without replacement from {o: 2, f: 4, b: 6, y: 2}. What is prob of picking 1 y, 2 f, 1 o, and 1 b?", "a": "72/1001" }, { "q": "What is prob of picking 1 l, 1 y, and 3 r when five letters picked without replacement from {r: 8, l: 3, b: 4, y: 1}?", "a": "1/26" }, { "q": "What is prob of picking 2 n, 1 h, and 2 l when five letters picked without replacement from lnlhllhhln?", "a": "5/42" }, { "q": "Five letters picked without replacement from onnoooddoodon. What is prob of picking 3 d and 2 o?", "a": "7/429" }, { "q": "Five letters picked without replacement from aaauauymaauymaauya. What is prob of picking 1 m, 2 u, 1 y, and 1 a?", "a": "9/238" }, { "q": "Five letters picked without replacement from {z: 4, j: 3, h: 2, m: 8, p: 2}. Give prob of picking 2 h and 3 m.", "a": "14/2907" }, { "q": "Five letters picked without replacement from {a: 5, m: 1, c: 3, k: 1, f: 4}. What is prob of picking 2 f, 2 a, and 1 m?", "a": "30/1001" }, { "q": "Five letters picked without replacement from {c: 2, o: 14, u: 2}. What is prob of picking 1 o, 2 u, and 2 c?", "a": "1/612" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from aaaaaaa.", "a": "1" }, { "q": "Calculate prob of picking 4 c and 1 h when five letters picked without replacement from tottcthhctctoctc.", "a": "5/2184" }, { "q": "Five letters picked without replacement from {g: 2, a: 5, o: 9, k: 3}. Give prob of picking 4 o and 1 g.", "a": "7/323" }, { "q": "Calculate prob of picking 1 j, 1 i, 2 a, and 1 o when five letters picked without replacement from {x: 1, c: 1, i: 4, a: 4, j: 5, o: 3}.", "a": "5/119" }, { "q": "What is prob of picking 2 p, 2 m, and 1 z when five letters picked without replacement from {p: 2, s: 2, t: 5, z: 2, m: 8}?", "a": "14/2907" }, { "q": "Five letters picked without replacement from {u: 6, h: 3, l: 7}. What is prob of picking 3 u and 2 h?", "a": "5/364" }, { "q": "What is prob of picking 2 p, 2 q, and 1 x when five letters picked without replacement from {q: 4, s: 1, p: 4, x: 3}?", "a": "3/22" }, { "q": "Calculate prob of picking 2 a, 1 t, and 2 z when five letters picked without replacement from zeetzzaxexddza.", "a": "3/1001" }, { "q": "Calculate prob of picking 1 y, 3 z, and 1 v when five letters picked without replacement from {y: 3, i: 2, r: 3, z: 3, v: 1}.", "a": "1/264" }, { "q": "Five letters picked without replacement from {k: 2, c: 1, b: 5, a: 7}. What is prob of picking 1 k, 2 a, 1 b, and 1 c?", "a": "10/143" }, { "q": "Five letters picked without replacement from {o: 7, i: 8}. Give prob of picking 4 o and 1 i.", "a": "40/429" }, { "q": "Calculate prob of picking 2 p and 3 y when five letters picked without replacement from {a: 3, p: 6, y: 6}.", "a": "100/1001" }, { "q": "Five letters picked without replacement from wivwvcjdwwicwcccdid. Give prob of picking 1 d, 1 c, 1 w, 1 i, and 1 j.", "a": "25/1292" }, { "q": "Calculate prob of picking 2 k and 3 z when five letters picked without replacement from {k: 6, z: 3, m: 4}.", "a": "5/429" }, { "q": "Five letters picked without replacement from {c: 4, h: 1, f: 2, l: 6, p: 1}. What is prob of picking 1 h, 1 f, 1 c, and 2 l?", "a": "60/1001" }, { "q": "Five letters picked without replacement from {w: 1, e: 14}. Give prob of picking 1 w and 4 e.", "a": "1/3" }, { "q": "Calculate prob of picking 2 q, 2 m, and 1 r when five letters picked without replacement from {v: 4, x: 3, w: 3, r: 1, m: 1, q: 4}.", "a": "0" }, { "q": "Five letters picked without replacement from {e: 5, f: 10}. What is prob of picking 4 e and 1 f?", "a": "50/3003" }, { "q": "What is prob of picking 1 c, 1 i, 2 d, and 1 w when five letters picked without replacement from {n: 1, d: 6, w: 1, c: 7, r: 3, i: 1}?", "a": "35/3876" }, { "q": "Five letters picked without replacement from {v: 2, k: 2, p: 4, t: 2, o: 2, y: 1}. Give prob of picking 2 o, 1 y, and 2 p.", "a": "2/429" }, { "q": "Five letters picked without replacement from rrgcggryyicc. What is prob of picking 2 g and 3 r?", "a": "1/264" }, { "q": "Calculate prob of picking 1 m and 4 z when five letters picked without replacement from zmzmzzmmmmmmmzmmmmmm.", "a": "25/5168" }, { "q": "Five letters picked without replacement from dctsssssed. What is prob of picking 1 d, 2 s, 1 c, and 1 t?", "a": "5/63" }, { "q": "Five letters picked without replacement from eeebrbeeroeer. What is prob of picking 1 o and 4 e?", "a": "35/1287" }, { "q": "Five letters picked without replacement from {h: 9, d: 1, j: 8}. Give prob of picking 1 d and 4 h.", "a": "1/68" }, { "q": "Calculate prob of picking 1 m, 1 j, 2 h, and 1 w when five letters picked without replacement from mhwdj.", "a": "0" }, { "q": "Calculate prob of picking 2 i, 2 d, and 1 n when five letters picked without replacement from idcdldnniiiili.", "a": "45/1001" }, { "q": "Calculate prob of picking 1 u, 2 r, and 2 k when five letters picked without replacement from {r: 12, k: 6, u: 1}.", "a": "55/646" }, { "q": "What is prob of picking 3 c and 2 s when five letters picked without replacement from {q: 1, e: 1, f: 2, s: 3, c: 4}?", "a": "2/77" }, { "q": "Five letters picked without replacement from {e: 2, b: 3, j: 3, f: 1, u: 1, r: 1}. What is prob of picking 1 f, 3 b, and 1 e?", "a": "1/231" }, { "q": "What is prob of picking 4 k and 1 d when five letters picked without replacement from {k: 1, d: 1, x: 1, g: 2}?", "a": "0" }, { "q": "Calculate prob of picking 2 x, 1 r, and 2 f when five letters picked without replacement from xxrjufxrxhfjr.", "a": "2/143" }, { "q": "Calculate prob of picking 1 q and 4 l when five letters picked without replacement from lkkkqlllkkklklkl.", "a": "5/624" }, { "q": "Five letters picked without replacement from wkuuuuuuwkkwwkuuuw. What is prob of picking 3 u and 2 k?", "a": "1/17" }, { "q": "Five letters picked without replacement from {t: 2, i: 2, k: 7}. What is prob of picking 2 t, 1 k, and 2 i?", "a": "1/66" }, { "q": "What is prob of picking 3 a and 2 x when five letters picked without replacement from aaaxaaxxaaxaxaa?", "a": "400/1001" }, { "q": "Calculate prob of picking 4 r and 1 e when five letters picked without replacement from rrerrrerrereeerrrr.", "a": "165/476" }, { "q": "Five letters picked without replacement from iiictciiicciiicci. What is prob of picking 3 i and 2 c?", "a": "450/1547" }, { "q": "Five letters picked without replacement from {k: 6, q: 3, t: 3, d: 1, w: 4}. Give prob of picking 2 k, 1 t, 1 w, and 1 d.", "a": "45/1547" }, { "q": "Five letters picked without replacement from {x: 5, f: 6, g: 5}. Give prob of picking 1 g, 2 x, and 2 f.", "a": "125/728" }, { "q": "Calculate prob of picking 2 w, 1 j, and 2 a when five letters picked without replacement from {a: 2, j: 2, w: 4, t: 2, z: 4}.", "a": "6/1001" }, { "q": "Five letters picked without replacement from {k: 2, b: 2, c: 1, s: 3, g: 4, r: 4}. Give prob of picking 1 c, 2 s, and 2 b.", "a": "1/1456" }, { "q": "What is prob of picking 2 q, 2 f, and 1 z when five letters picked without replacement from qzqqzqfqooqqfqqq?", "a": "15/728" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from {q: 12, m: 1}.", "a": "8/13" }, { "q": "Five letters picked without replacement from nnyyzovyyyyynyvny. What is prob of picking 2 z, 1 v, and 2 y?", "a": "0" }, { "q": "Five letters picked without replacement from uuuqexuquvuuuuxu. What is prob of picking 1 v, 2 q, 1 u, and 1 x?", "a": "5/1092" }, { "q": "Calculate prob of picking 1 i, 2 k, 1 x, and 1 u when five letters picked without replacement from ukuxxnkiuu.", "a": "2/63" }, { "q": "Five letters picked without replacement from mlcecllllcmlllncm. Give prob of picking 1 n, 1 m, 2 c, and 1 l.", "a": "36/1547" }, { "q": "What is prob of picking 1 y, 1 h, and 3 k when five letters picked without replacement from hwkkukkywyky?", "a": "5/132" }, { "q": "Five letters picked without replacement from {j: 6, h: 2, s: 4, i: 1}. Give prob of picking 4 j and 1 i.", "a": "5/429" }, { "q": "Five letters picked without replacement from zuttztqvqutvruv. Give prob of picking 1 z, 1 v, and 3 t.", "a": "8/1001" }, { "q": "Five letters picked without replacement from {u: 4, w: 9}. What is prob of picking 4 w and 1 u?", "a": "56/143" }, { "q": "Five letters picked without replacement from wukdud. What is prob of picking 2 u, 1 k, 1 w, and 1 d?", "a": "1/3" }, { "q": "What is prob of picking 3 m and 2 n when five letters picked without replacement from {n: 7, m: 4}?", "a": "2/11" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from {i: 4, u: 5}?", "a": "1/126" }, { "q": "What is prob of picking 1 v, 2 t, 1 i, and 1 q when five letters picked without replacement from {w: 1, v: 11, i: 2, q: 1, t: 3}?", "a": "11/1428" }, { "q": "Five letters picked without replacement from {y: 2, s: 8}. What is prob of picking 2 y and 3 s?", "a": "2/9" }, { "q": "Calculate prob of picking 2 b, 2 o, and 1 t when five letters picked without replacement from ttbttbtobbtbbtobott.", "a": "63/1292" }, { "q": "Five letters picked without replacement from {x: 6, w: 6, u: 6}. Give prob of picking 1 x, 2 w, and 2 u.", "a": "75/476" }, { "q": "Five letters picked without replacement from fflflfflflfffff. What is prob of picking 4 l and 1 f?", "a": "1/273" }, { "q": "Five letters picked without replacement from uxxutxtt. What is prob of picking 2 t and 3 x?", "a": "3/56" }, { "q": "Five letters picked without replacement from {l: 4, x: 3}. What is prob of picking 1 x and 4 l?", "a": "1/7" }, { "q": "What is prob of picking 4 u and 1 o when five letters picked without replacement from uuououuuouuuoouuuuuo?", "a": "1001/2584" }, { "q": "Five letters picked without replacement from {m: 2, z: 2, u: 1, e: 4, t: 2, h: 2}. Give prob of picking 1 h, 2 e, and 2 z.", "a": "4/429" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from hhtttjtjjjhjt.", "a": "1/1287" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from qjjjejqjjqjjjeje.", "a": "3/52" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from qqqlqqlqqqqqqqlqqq?", "a": "143/408" }, { "q": "What is prob of picking 1 v and 4 w when five letters picked without replacement from wwwvvvvvvwwvvvvvvw?", "a": "5/238" }, { "q": "Five letters picked without replacement from kkkkkkookkkk. What is prob of picking 5 o?", "a": "0" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from {m: 2, u: 5, s: 5}?", "a": "1/792" }, { "q": "Five letters picked without replacement from {u: 1, k: 4, n: 6, m: 2, q: 3}. What is prob of picking 2 k, 2 n, and 1 u?", "a": "15/728" }, { "q": "Five letters picked without replacement from {h: 1, i: 3, b: 8}. Give prob of picking 5 b.", "a": "7/99" }, { "q": "What is prob of picking 1 c, 3 q, and 1 b when five letters picked without replacement from {n: 3, b: 3, q: 3, o: 3, k: 1, c: 3}?", "a": "3/1456" }, { "q": "Calculate prob of picking 1 z, 1 v, 2 t, and 1 b when five letters picked without replacement from tibtvvvtvvvebeizi.", "a": "9/1547" }, { "q": "Five letters picked without replacement from jujuquej. What is prob of picking 2 j and 3 u?", "a": "3/56" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from xwxiwwxxwwxxwix?", "a": "2/1001" }, { "q": "Calculate prob of picking 4 v and 1 a when five letters picked without replacement from aaavvvvvavaaa.", "a": "35/429" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {h: 13, a: 5}?", "a": "1/8568" }, { "q": "Five letters picked without replacement from ziwwziiwfrwr. What is prob of picking 1 z, 1 i, 1 f, and 2 r?", "a": "1/132" }, { "q": "Five letters picked without replacement from {v: 3, x: 6}. Give prob of picking 2 x and 3 v.", "a": "5/42" }, { "q": "Five letters picked without replacement from {n: 1, t: 2, b: 7, l: 2}. Give prob of picking 1 n, 2 t, 1 b, and 1 l.", "a": "7/396" }, { "q": "Calculate prob of picking 2 r and 3 s when five letters picked without replacement from rrrrrrrrsrssr.", "a": "5/143" }, { "q": "Calculate prob of picking 2 l, 1 t, and 2 i when five letters picked without replacement from {c: 3, l: 2, i: 3, t: 8}.", "a": "1/182" }, { "q": "What is prob of picking 4 f and 1 m when five letters picked without replacement from {z: 1, f: 8, m: 3}?", "a": "35/132" }, { "q": "Five letters picked without replacement from cccccvcccc. What is prob of picking 3 c and 2 v?", "a": "0" }, { "q": "Five letters picked without replacement from {u: 1, j: 5, g: 1, c: 4, m: 3}. What is prob of picking 2 m, 2 j, and 1 c?", "a": "60/1001" }, { "q": "What is prob of picking 4 b and 1 q when five letters picked without replacement from qqblqbblqlbqzbbbzbqq?", "a": "245/7752" }, { "q": "What is prob of picking 1 g, 1 h, and 3 c when five letters picked without replacement from {h: 8, c: 5, g: 4, q: 3}?", "a": "20/969" }, { "q": "Calculate prob of picking 1 j and 4 r when five letters picked without replacement from rjrrrrrrrrrrrjrjjr.", "a": "143/306" }, { "q": "Five letters picked without replacement from {s: 7, e: 5, g: 3, r: 3}. What is prob of picking 3 s and 2 g?", "a": "5/408" }, { "q": "Five letters picked without replacement from vcfbvf. Give prob of picking 1 v, 1 c, 2 f, and 1 b.", "a": "1/3" }, { "q": "Five letters picked without replacement from {a: 5, c: 4}. Give prob of picking 1 a and 4 c.", "a": "5/126" }, { "q": "Five letters picked without replacement from eawyyyycyyyq. Give prob of picking 3 y, 1 a, and 1 q.", "a": "35/792" }, { "q": "Five letters picked without replacement from xvnyam. What is prob of picking 1 a, 1 n, and 3 x?", "a": "0" }, { "q": "What is prob of picking 2 o, 1 q, 1 r, and 1 w when five letters picked without replacement from {r: 1, m: 2, w: 3, o: 7, q: 1}?", "a": "9/286" }, { "q": "Five letters picked without replacement from {w: 1, u: 2, b: 4, z: 7, a: 6}. Give prob of picking 1 w, 2 b, 1 z, and 1 u.", "a": "7/1292" }, { "q": "Calculate prob of picking 2 s, 2 a, and 1 u when five letters picked without replacement from uqssqqqsaaqqaaasq.", "a": "15/1547" }, { "q": "Calculate prob of picking 1 e, 1 h, and 3 b when five letters picked without replacement from {e: 10, b: 3, h: 1}.", "a": "5/1001" }, { "q": "Calculate prob of picking 3 y, 1 i, and 1 r when five letters picked without replacement from {r: 4, i: 8, y: 7}.", "a": "280/2907" }, { "q": "Five letters picked without replacement from {n: 1, k: 3, d: 1, e: 4, u: 3, x: 5}. Give prob of picking 1 x, 2 e, 1 u, and 1 n.", "a": "45/3094" }, { "q": "What is prob of picking 4 a and 1 l when five letters picked without replacement from {l: 4, a: 5, r: 7}?", "a": "5/1092" }, { "q": "Five letters picked without replacement from ynnasdnnyyanynaas. What is prob of picking 2 a and 3 n?", "a": "30/1547" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from bxxxxx.", "a": "1/6" }, { "q": "Five letters picked without replacement from sssasmysssms. Give prob of picking 1 a and 4 y.", "a": "0" }, { "q": "What is prob of picking 2 b and 3 z when five letters picked without replacement from {a: 4, x: 1, z: 5, i: 1, w: 1, b: 2}?", "a": "5/1001" }, { "q": "Five letters picked without replacement from ydmyhmmydhydymhyyd. Give prob of picking 4 y and 1 h.", "a": "5/408" }, { "q": "Calculate prob of picking 3 f and 2 p when five letters picked without replacement from {f: 10, p: 4}.", "a": "360/1001" }, { "q": "Five letters picked without replacement from {t: 7, p: 11}. What is prob of picking 3 p and 2 t?", "a": "55/136" }, { "q": "Five letters picked without replacement from ywywnynnnnnyn. Give prob of picking 1 w, 1 y, and 3 n.", "a": "280/1287" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from {d: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from {w: 6, x: 3, f: 2, j: 7}. What is prob of picking 2 j, 2 x, and 1 w?", "a": "3/68" }, { "q": "Five letters picked without replacement from {b: 7, n: 10}. Give prob of picking 5 b.", "a": "3/884" }, { "q": "Calculate prob of picking 2 f, 1 e, and 2 g when five letters picked without replacement from {g: 5, e: 3, f: 2, z: 10}.", "a": "5/2584" }, { "q": "Five letters picked without replacement from nnngnnccdndncnnnc. What is prob of picking 1 n, 2 c, 1 g, and 1 d?", "a": "30/1547" }, { "q": "Five letters picked without replacement from {l: 1, g: 2, k: 7}. What is prob of picking 2 k, 1 l, and 2 g?", "a": "1/12" }, { "q": "What is prob of picking 4 f and 1 m when five letters picked without replacement from {u: 2, f: 4, i: 4, a: 1, q: 1, m: 2}?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {s: 2, o: 5, m: 1, h: 1, y: 4}. What is prob of picking 2 o, 1 h, and 2 s?", "a": "10/1287" }, { "q": "What is prob of picking 2 u, 1 r, and 2 q when five letters picked without replacement from {q: 2, u: 10, r: 7}?", "a": "35/1292" }, { "q": "Five letters picked without replacement from nptnpntpnn. What is prob of picking 2 n, 1 t, and 2 p?", "a": "5/21" }, { "q": "What is prob of picking 1 g, 1 u, and 3 q when five letters picked without replacement from {q: 10, g: 3, u: 1}?", "a": "180/1001" }, { "q": "Calculate prob of picking 4 d and 1 l when five letters picked without replacement from dddtdddlllttitdltll.", "a": "35/1938" }, { "q": "What is prob of picking 4 p and 1 k when five letters picked without replacement from pupukukupppkkpkuuu?", "a": "25/2856" }, { "q": "What is prob of picking 1 h, 1 f, and 3 b when five letters picked without replacement from hbbbhfhhhfhb?", "a": "2/33" }, { "q": "Five letters picked without replacement from {c: 7, x: 5, l: 2, d: 1, s: 5}. What is prob of picking 4 x and 1 d?", "a": "5/15504" }, { "q": "Five letters picked without replacement from {o: 1, u: 4, m: 4, k: 3}. What is prob of picking 1 m, 1 o, and 3 k?", "a": "1/198" }, { "q": "Calculate prob of picking 3 s, 1 r, and 1 k when five letters picked without replacement from sssrssorrsssssoks.", "a": "495/6188" }, { "q": "Calculate prob of picking 3 i and 2 y when five letters picked without replacement from {i: 7, y: 5}.", "a": "175/396" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {i: 7, j: 7}?", "a": "3/286" }, { "q": "What is prob of picking 1 b, 3 a, and 1 y when five letters picked without replacement from {b: 1, a: 6, y: 2}?", "a": "20/63" }, { "q": "Five letters picked without replacement from iiizzzzzizzziziiiizz. What is prob of picking 1 z and 4 i?", "a": "231/2584" }, { "q": "What is prob of picking 2 v, 2 s, and 1 r when five letters picked without replacement from {r: 5, s: 5, v: 9}?", "a": "50/323" }, { "q": "Five letters picked without replacement from eeeweewewwwwe. Give prob of picking 2 w and 3 e.", "a": "175/429" }, { "q": "What is prob of picking 1 n, 1 e, and 3 o when five letters picked without replacement from {n: 1, o: 3, v: 3, e: 5}?", "a": "5/792" }, { "q": "Five letters picked without replacement from {k: 1, t: 4, c: 2, i: 2, h: 2}. Give prob of picking 4 t and 1 h.", "a": "1/231" }, { "q": "What is prob of picking 1 s, 2 z, and 2 x when five letters picked without replacement from szxxhzspzszsxxxxpxsh?", "a": "105/2584" }, { "q": "Calculate prob of picking 1 q, 1 b, 1 k, and 2 x when five letters picked without replacement from {k: 1, z: 5, x: 2, b: 4, q: 2}.", "a": "4/1001" }, { "q": "What is prob of picking 1 j and 4 b when five letters picked without replacement from {j: 11, t: 2, q: 3, b: 4}?", "a": "11/15504" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from {v: 5, o: 5}.", "a": "1/252" }, { "q": "Five letters picked without replacement from {w: 1, f: 5, h: 1, a: 3, o: 2, m: 4}. Give prob of picking 2 m and 3 a.", "a": "1/728" }, { "q": "Calculate prob of picking 4 b and 1 s when five letters picked without replacement from {b: 1, e: 2, s: 1, t: 4, i: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from gwohdihigwd. Give prob of picking 1 g, 2 h, and 2 d.", "a": "1/231" }, { "q": "Calculate prob of picking 2 f and 3 h when five letters picked without replacement from xhxhhxhfxxfxfhxh.", "a": "5/364" }, { "q": "Five letters picked without replacement from {q: 5, w: 8}. Give prob of picking 2 q and 3 w.", "a": "560/1287" }, { "q": "What is prob of picking 1 i, 3 m, and 1 a when five letters picked without replacement from mvvymaamaivaivvyv?", "a": "2/1547" }, { "q": "Five letters picked without replacement from {b: 5, v: 6}. Give prob of picking 4 b and 1 v.", "a": "5/77" }, { "q": "Five letters picked without replacement from {r: 3, b: 2, y: 2, k: 5}. Give prob of picking 2 r, 1 k, and 2 y.", "a": "5/264" }, { "q": "What is prob of picking 2 b and 3 i when five letters picked without replacement from {s: 5, i: 5, b: 4}?", "a": "30/1001" }, { "q": "Five letters picked without replacement from {d: 6, g: 5, m: 6}. Give prob of picking 3 g and 2 m.", "a": "75/3094" }, { "q": "What is prob of picking 1 o, 1 c, and 3 x when five letters picked without replacement from {o: 2, x: 3, r: 2, q: 3, c: 1}?", "a": "1/231" }, { "q": "What is prob of picking 1 b, 1 u, and 3 p when five letters picked without replacement from uulpbpuplplpuu?", "a": "25/1001" }, { "q": "Calculate prob of picking 4 k and 1 x when five letters picked without replacement from {m: 1, k: 8, n: 1, x: 3}.", "a": "70/429" }, { "q": "Calculate prob of picking 1 g, 2 m, and 2 f when five letters picked without replacement from {f: 4, m: 5, t: 3, g: 1}.", "a": "20/429" }, { "q": "What is prob of picking 3 e, 1 r, and 1 b when five letters picked without replacement from {r: 4, e: 6, b: 1, w: 1, c: 5}?", "a": "20/1547" }, { "q": "Five letters picked without replacement from pppopzppppppp. What is prob of picking 4 p and 1 z?", "a": "10/39" }, { "q": "Calculate prob of picking 1 p, 1 t, 1 w, and 2 b when five letters picked without replacement from {w: 1, t: 2, k: 7, b: 2, n: 6, p: 2}.", "a": "1/3876" }, { "q": "Five letters picked without replacement from phhhd. Give prob of picking 4 h and 1 p.", "a": "0" }, { "q": "Five letters picked without replacement from {q: 14, m: 1, p: 1}. What is prob of picking 5 q?", "a": "11/24" }, { "q": "Five letters picked without replacement from srzrrzrszszrzzsr. What is prob of picking 2 r, 2 z, and 1 s?", "a": "75/364" }, { "q": "Calculate prob of picking 2 o and 3 s when five letters picked without replacement from {o: 9, s: 6}.", "a": "240/1001" }, { "q": "Five letters picked without replacement from aaxxvaxbevexse. What is prob of picking 1 x, 3 a, and 1 s?", "a": "2/1001" }, { "q": "Five letters picked without replacement from {g: 7, k: 2}. What is prob of picking 5 g?", "a": "1/6" }, { "q": "Five letters picked without replacement from {b: 2, o: 3, n: 3, r: 5}. Give prob of picking 2 r and 3 o.", "a": "10/1287" }, { "q": "Calculate prob of picking 2 m, 1 w, 1 k, and 1 z when five letters picked without replacement from {w: 1, z: 2, m: 4, k: 2, u: 1, c: 2}.", "a": "1/33" }, { "q": "Five letters picked without replacement from eeveveeveex. What is prob of picking 1 x and 4 e?", "a": "5/66" }, { "q": "Five letters picked without replacement from {m: 9, l: 3}. What is prob of picking 1 l and 4 m?", "a": "21/44" }, { "q": "Five letters picked without replacement from {t: 3, w: 2, x: 11}. Give prob of picking 3 x and 2 w.", "a": "55/1456" }, { "q": "Five letters picked without replacement from hhhhuxxxhhuxh. Give prob of picking 1 u, 1 h, and 3 x.", "a": "56/1287" }, { "q": "Five letters picked without replacement from llillzzllzizlzill. What is prob of picking 5 z?", "a": "1/6188" }, { "q": "Five letters picked without replacement from {p: 1, v: 7, f: 11}. Give prob of picking 1 v, 1 p, and 3 f.", "a": "385/3876" }, { "q": "What is prob of picking 1 y and 4 f when five letters picked without replacement from {x: 7, f: 6, u: 2, y: 4}?", "a": "5/969" }, { "q": "Five letters picked without replacement from ojjloljljlojjo. Give prob of picking 2 j, 2 o, and 1 l.", "a": "180/1001" }, { "q": "Five letters picked without replacement from xmxmmymymmmy. Give prob of picking 3 y and 2 m.", "a": "7/264" }, { "q": "Five letters picked without replacement from {r: 5, d: 6}. Give prob of picking 2 d and 3 r.", "a": "25/77" }, { "q": "Five letters picked without replacement from pddhhhhpphphhphdhdhp. What is prob of picking 1 p, 3 h, and 1 d?", "a": "60/323" }, { "q": "Calculate prob of picking 3 i, 1 e, and 1 r when five letters picked without replacement from eiiirisreisr.", "a": "5/66" }, { "q": "Five letters picked without replacement from {t: 9, w: 4}. What is prob of picking 2 w and 3 t?", "a": "56/143" }, { "q": "Calculate prob of picking 4 w and 1 m when five letters picked without replacement from wwwwmwwwwwwww.", "a": "5/13" }, { "q": "Five letters picked without replacement from qtqqtttttttqjtt. What is prob of picking 1 j and 4 q?", "a": "1/3003" }, { "q": "Five letters picked without replacement from {j: 2, y: 2, h: 6}. What is prob of picking 2 h and 3 y?", "a": "0" }, { "q": "Five letters picked without replacement from ffyfyyyyyfy. What is prob of picking 4 y and 1 f?", "a": "10/33" }, { "q": "Five letters picked without replacement from {l: 1, a: 4, x: 4, e: 6}. What is prob of picking 2 e and 3 a?", "a": "20/1001" }, { "q": "Calculate prob of picking 3 v and 2 w when five letters picked without replacement from evwrwrwevwvwvvew.", "a": "25/728" }, { "q": "Five letters picked without replacement from {t: 4, u: 1, k: 1, c: 2, e: 2, z: 2}. What is prob of picking 1 k, 1 c, and 3 t?", "a": "1/99" }, { "q": "What is prob of picking 3 m, 1 x, and 1 a when five letters picked without replacement from {m: 6, w: 1, a: 9, x: 2}?", "a": "5/119" }, { "q": "Calculate prob of picking 1 v, 1 b, and 3 u when five letters picked without replacement from vuvuub.", "a": "1/3" }, { "q": "Five letters picked without replacement from zjzjzzzjjfjfzzjjjzjj. What is prob of picking 4 f and 1 j?", "a": "0" }, { "q": "Five letters picked without replacement from akkkkpkkpkk. What is prob of picking 4 k and 1 a?", "a": "5/33" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from xxxxxxx.", "a": "1" }, { "q": "Five letters picked without replacement from {k: 13, y: 4, c: 1}. Give prob of picking 4 k and 1 y.", "a": "715/2142" }, { "q": "Calculate prob of picking 1 o, 2 t, and 2 h when five letters picked without replacement from thvthhhvoohhhhovh.", "a": "27/1547" }, { "q": "Five letters picked without replacement from {m: 6, a: 1, y: 4, n: 5}. Give prob of picking 2 y, 1 n, 1 m, and 1 a.", "a": "15/364" }, { "q": "Calculate prob of picking 1 j, 2 u, 1 q, and 1 y when five letters picked without replacement from {j: 2, q: 1, y: 5, u: 5}.", "a": "100/1287" }, { "q": "Calculate prob of picking 1 j, 1 n, 1 c, and 2 i when five letters picked without replacement from jcnjjjjnjjjcjiiijn.", "a": "5/238" }, { "q": "Five letters picked without replacement from ooohpooohouuu. What is prob of picking 1 p, 3 o, and 1 u?", "a": "35/429" }, { "q": "Five letters picked without replacement from {q: 1, r: 4, d: 1, w: 3, p: 2, i: 3}. What is prob of picking 2 w, 1 p, and 2 i?", "a": "9/1001" }, { "q": "Five letters picked without replacement from sgssgsgs. What is prob of picking 2 g and 3 s?", "a": "15/28" }, { "q": "Five letters picked without replacement from {z: 1, k: 9, i: 4, y: 2}. What is prob of picking 3 k and 2 y?", "a": "1/52" }, { "q": "Calculate prob of picking 2 s, 1 w, and 2 x when five letters picked without replacement from {x: 2, o: 4, s: 9, w: 2, t: 1}.", "a": "1/119" }, { "q": "Calculate prob of picking 1 s, 3 p, and 1 v when five letters picked without replacement from svsspsspvsvpp.", "a": "8/143" }, { "q": "Five letters picked without replacement from {v: 3, j: 1, w: 6, m: 4, h: 2}. Give prob of picking 3 m and 2 h.", "a": "1/1092" }, { "q": "Five letters picked without replacement from rerrrrerrrrrrr. Give prob of picking 4 r and 1 e.", "a": "45/91" }, { "q": "Calculate prob of picking 1 s, 1 l, and 3 m when five letters picked without replacement from {s: 8, t: 2, m: 3, l: 7}.", "a": "7/1938" }, { "q": "Five letters picked without replacement from {i: 2, b: 10, l: 5}. Give prob of picking 1 i, 1 l, and 3 b.", "a": "300/1547" }, { "q": "Five letters picked without replacement from lsslsllsslss. What is prob of picking 5 l?", "a": "1/792" }, { "q": "Five letters picked without replacement from sssmssssssssss. What is prob of picking 4 s and 1 m?", "a": "5/14" }, { "q": "Five letters picked without replacement from ffqbqfqqsqffbbxqmqb. What is prob of picking 2 b, 1 q, 1 s, and 1 m?", "a": "7/1938" }, { "q": "Five letters picked without replacement from onnocppnpc. Give prob of picking 2 o, 2 n, and 1 c.", "a": "1/42" }, { "q": "Calculate prob of picking 2 t and 3 h when five letters picked without replacement from bhhbhhbbihtiibbtbhbb.", "a": "5/3876" }, { "q": "Calculate prob of picking 2 b and 3 f when five letters picked without replacement from fbfbfbfkfwkbfbbm.", "a": "25/364" }, { "q": "Calculate prob of picking 1 q, 1 p, 1 y, and 2 l when five letters picked without replacement from {q: 4, p: 2, l: 5, y: 1}.", "a": "10/99" }, { "q": "Five letters picked without replacement from ssckck. What is prob of picking 1 k, 2 c, and 2 s?", "a": "1/3" }, { "q": "Five letters picked without replacement from aasarrsdrr. What is prob of picking 3 r and 2 a?", "a": "1/21" }, { "q": "Five letters picked without replacement from {x: 6, p: 7, e: 5}. Give prob of picking 1 e, 3 x, and 1 p.", "a": "25/306" }, { "q": "What is prob of picking 2 l and 3 q when five letters picked without replacement from lgoggqiqqglqgq?", "a": "5/1001" }, { "q": "Five letters picked without replacement from {p: 6, m: 3, u: 2, b: 1}. Give prob of picking 3 p, 1 m, and 1 b.", "a": "5/66" }, { "q": "Five letters picked without replacement from xxxpppxxxxpxp. Give prob of picking 4 x and 1 p.", "a": "350/1287" }, { "q": "What is prob of picking 1 b, 2 t, and 2 v when five letters picked without replacement from mmvotrtbmmmmbv?", "a": "1/1001" }, { "q": "Five letters picked without replacement from oojvojjjjvjjvo. Give prob of picking 3 o, 1 v, and 1 j.", "a": "6/143" }, { "q": "Calculate prob of picking 1 f, 1 a, 1 s, and 2 n when five letters picked without replacement from {s: 1, a: 2, x: 5, n: 4, f: 1}.", "a": "4/429" }, { "q": "Five letters picked without replacement from {p: 2, l: 3, r: 6, q: 6, w: 3}. What is prob of picking 1 q and 4 r?", "a": "15/2584" }, { "q": "Five letters picked without replacement from wccgcgwkcw. Give prob of picking 2 c, 2 g, and 1 k.", "a": "1/42" }, { "q": "Five letters picked without replacement from jnjnnnnnjnnjnnnj. Give prob of picking 4 n and 1 j.", "a": "275/728" }, { "q": "Calculate prob of picking 1 p and 4 e when five letters picked without replacement from {p: 1, e: 8, t: 8}.", "a": "5/442" }, { "q": "Calculate prob of picking 2 h and 3 f when five letters picked without replacement from {h: 10, f: 9}.", "a": "105/323" }, { "q": "Five letters picked without replacement from {t: 7, w: 1, i: 1, j: 6, a: 3, y: 2}. What is prob of picking 1 w, 3 j, and 1 a?", "a": "5/1292" }, { "q": "What is prob of picking 1 f and 4 n when five letters picked without replacement from fnnffnfnfnffnffnfff?", "a": "35/969" }, { "q": "What is prob of picking 3 u and 2 l when five letters picked without replacement from {u: 6, l: 3}?", "a": "10/21" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {w: 5, f: 1, n: 1, g: 4}.", "a": "1/462" }, { "q": "What is prob of picking 1 t, 1 x, and 3 k when five letters picked without replacement from {k: 3, t: 11, f: 2, x: 1}?", "a": "11/6188" }, { "q": "What is prob of picking 1 f and 4 i when five letters picked without replacement from {k: 2, i: 8, f: 7, p: 2}?", "a": "245/5814" }, { "q": "Five letters picked without replacement from {y: 9}. Give prob of picking 5 y.", "a": "1" }, { "q": "What is prob of picking 2 t and 3 h when five letters picked without replacement from tmhcthtthht?", "a": "20/231" }, { "q": "Five letters picked without replacement from aaaaaaadaaadaaaaaa. Give prob of picking 3 a and 2 d.", "a": "10/153" }, { "q": "Five letters picked without replacement from {q: 1, f: 12, j: 1, t: 2}. Give prob of picking 2 f, 1 q, and 2 t.", "a": "11/728" }, { "q": "Five letters picked without replacement from {i: 4, p: 1, o: 6, u: 1, y: 2, c: 1}. Give prob of picking 1 y, 2 o, and 2 u.", "a": "0" }, { "q": "Five letters picked without replacement from {t: 1, h: 1, o: 13}. Give prob of picking 4 o and 1 t.", "a": "5/21" }, { "q": "Five letters picked without replacement from ttttlltlttt. Give prob of picking 3 l and 2 t.", "a": "2/33" }, { "q": "Five letters picked without replacement from oioiiiiioooiiiiooiii. Give prob of picking 2 i and 3 o.", "a": "455/2584" }, { "q": "Five letters picked without replacement from cccooccocococoo. Give prob of picking 5 c.", "a": "8/429" }, { "q": "Calculate prob of picking 4 k and 1 j when five letters picked without replacement from kjkjjkjjjjkjjk.", "a": "45/2002" }, { "q": "What is prob of picking 1 v, 1 y, and 3 d when five letters picked without replacement from pddvddddyd?", "a": "5/36" }, { "q": "What is prob of picking 2 f and 3 h when five letters picked without replacement from {f: 2, h: 6}?", "a": "5/14" }, { "q": "What is prob of picking 2 b and 3 q when five letters picked without replacement from npqqnqnbpqqqbnnqq?", "a": "2/221" }, { "q": "Calculate prob of picking 1 x and 4 s when five letters picked without replacement from {s: 6, x: 3}.", "a": "5/14" }, { "q": "What is prob of picking 1 g and 4 t when five letters picked without replacement from {l: 1, r: 3, g: 9, t: 4}?", "a": "9/6188" }, { "q": "What is prob of picking 1 u and 4 x when five letters picked without replacement from {u: 6, x: 11}?", "a": "495/1547" }, { "q": "Five letters picked without replacement from {r: 5, d: 5}. Give prob of picking 5 r.", "a": "1/252" }, { "q": "Five letters picked without replacement from {k: 7, t: 3, o: 1, e: 8}. Give prob of picking 1 o, 3 e, and 1 k.", "a": "98/2907" }, { "q": "Calculate prob of picking 3 p, 1 v, and 1 n when five letters picked without replacement from {g: 1, p: 4, n: 3, v: 1}.", "a": "2/21" }, { "q": "Five letters picked without replacement from {s: 11, d: 1, w: 1, o: 2, z: 4}. Give prob of picking 3 s, 1 z, and 1 d.", "a": "55/969" }, { "q": "Five letters picked without replacement from ttttttqttqt. Give prob of picking 5 t.", "a": "3/11" }, { "q": "Five letters picked without replacement from zzrrrzzrzrrzrrzz. Give prob of picking 2 r and 3 z.", "a": "14/39" }, { "q": "What is prob of picking 1 y and 4 t when five letters picked without replacement from {y: 3, t: 9}?", "a": "21/44" }, { "q": "Five letters picked without replacement from {u: 2, z: 7, b: 1, r: 3}. Give prob of picking 2 u, 1 r, and 2 z.", "a": "7/143" }, { "q": "Calculate prob of picking 3 y and 2 s when five letters picked without replacement from {y: 13, s: 2}.", "a": "2/21" }, { "q": "What is prob of picking 1 m and 4 l when five letters picked without replacement from lllmmmlllllmlm?", "a": "45/143" }, { "q": "Calculate prob of picking 3 m and 2 c when five letters picked without replacement from cmcamcmaccmc.", "a": "5/66" }, { "q": "Five letters picked without replacement from qsssssqsq. What is prob of picking 4 s and 1 q?", "a": "5/14" }, { "q": "What is prob of picking 4 p and 1 c when five letters picked without replacement from pppezzpzc?", "a": "1/126" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from qqqqqqqeqeqqeqqqq?", "a": "11/34" }, { "q": "Five letters picked without replacement from xuxxuxuuxxxxuxxxxxxx. What is prob of picking 3 u and 2 x?", "a": "175/2584" }, { "q": "Calculate prob of picking 1 t, 2 z, and 2 c when five letters picked without replacement from {t: 2, l: 2, b: 5, c: 4, j: 1, z: 2}.", "a": "1/364" }, { "q": "Five letters picked without replacement from {d: 2, z: 17}. Give prob of picking 1 d and 4 z.", "a": "70/171" }, { "q": "Five letters picked without replacement from {n: 6, w: 11}. What is prob of picking 5 n?", "a": "3/3094" }, { "q": "Five letters picked without replacement from {h: 4, j: 1, q: 3, t: 4, w: 3}. What is prob of picking 1 t, 1 j, 1 q, 1 w, and 1 h?", "a": "48/1001" }, { "q": "Five letters picked without replacement from hhhppphphp. Give prob of picking 1 p and 4 h.", "a": "25/252" }, { "q": "Five letters picked without replacement from nsossobsssnsb. What is prob of picking 2 b, 2 s, and 1 n?", "a": "14/429" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {s: 6, u: 1, a: 4}?", "a": "1/77" }, { "q": "What is prob of picking 2 v, 2 o, and 1 q when five letters picked without replacement from avvrhoovoqvaavaaqv?", "a": "5/476" }, { "q": "Five letters picked without replacement from lzzqllqzqzllzl. Give prob of picking 5 z.", "a": "1/2002" }, { "q": "Five letters picked without replacement from {y: 1, f: 5, b: 3, h: 3, j: 3, g: 1}. Give prob of picking 1 b, 1 f, 1 y, 1 g, and 1 h.", "a": "15/1456" }, { "q": "Calculate prob of picking 1 j, 3 s, and 1 i when five letters picked without replacement from {j: 2, i: 5, s: 4}.", "a": "20/231" }, { "q": "Five letters picked without replacement from {c: 1, z: 2, m: 3, b: 3, e: 3}. What is prob of picking 2 m, 2 e, and 1 z?", "a": "1/44" }, { "q": "Calculate prob of picking 1 s, 1 i, and 3 e when five letters picked without replacement from swseeeesoieeohiei.", "a": "45/884" }, { "q": "Five letters picked without replacement from iutuitiibubtb. Give prob of picking 1 t, 1 b, 2 u, and 1 i.", "a": "12/143" }, { "q": "Five letters picked without replacement from {g: 2, a: 15}. What is prob of picking 3 a and 2 g?", "a": "5/68" }, { "q": "Five letters picked without replacement from sssslssssssslsssss. Give prob of picking 5 s.", "a": "26/51" }, { "q": "Calculate prob of picking 2 q, 1 n, and 2 m when five letters picked without replacement from bbqobbmbobmbdqbdbbn.", "a": "1/11628" }, { "q": "Five letters picked without replacement from pllmlplh. Give prob of picking 2 p, 2 l, and 1 h.", "a": "3/28" }, { "q": "Five letters picked without replacement from sslssslslss. What is prob of picking 2 l and 3 s?", "a": "4/11" }, { "q": "What is prob of picking 2 x and 3 y when five letters picked without replacement from {y: 3, w: 4, x: 5}?", "a": "5/396" }, { "q": "Five letters picked without replacement from {c: 1, f: 2, k: 8, p: 2}. What is prob of picking 4 k and 1 f?", "a": "140/1287" }, { "q": "Calculate prob of picking 2 x and 3 m when five letters picked without replacement from mxmxxmxmmxmmxmmmx.", "a": "90/221" }, { "q": "What is prob of picking 2 c, 2 l, and 1 b when five letters picked without replacement from {b: 2, c: 5, l: 3}?", "a": "5/21" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {j: 13, e: 2}?", "a": "3/7" }, { "q": "Calculate prob of picking 1 s, 3 m, and 1 w when five letters picked without replacement from {w: 3, s: 5, m: 6}.", "a": "150/1001" }, { "q": "What is prob of picking 1 e and 4 d when five letters picked without replacement from dzueuuudmdub?", "a": "0" }, { "q": "Five letters picked without replacement from vgrrfbsbfb. Give prob of picking 2 b, 1 v, and 2 f.", "a": "1/84" }, { "q": "What is prob of picking 2 d and 3 k when five letters picked without replacement from {d: 5, t: 1, k: 3, l: 3, g: 2}?", "a": "5/1001" }, { "q": "Five letters picked without replacement from {j: 3, i: 4, l: 2, z: 1}. Give prob of picking 2 j, 1 z, and 2 i.", "a": "1/14" }, { "q": "Calculate prob of picking 1 c and 4 l when five letters picked without replacement from klclklpclcpclp.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {m: 1, q: 1, n: 4, y: 10, h: 1, g: 1}. What is prob of picking 1 n, 1 h, 1 m, and 2 q?", "a": "0" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tttttttttt.", "a": "1" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from rrrrrrrrrr.", "a": "1" }, { "q": "Five letters picked without replacement from {n: 2, d: 8, c: 1}. Give prob of picking 3 n and 2 d.", "a": "0" }, { "q": "Five letters picked without replacement from {t: 7, s: 1}. What is prob of picking 1 t and 4 s?", "a": "0" }, { "q": "Five letters picked without replacement from {f: 6, n: 4}. Give prob of picking 1 f and 4 n.", "a": "1/42" }, { "q": "Five letters picked without replacement from kkkkiiqqikqqqq. Give prob of picking 3 q and 2 k.", "a": "100/1001" }, { "q": "Five letters picked without replacement from {y: 2, d: 3, m: 2}. What is prob of picking 2 d, 1 y, and 2 m?", "a": "2/7" }, { "q": "Five letters picked without replacement from {p: 5, z: 2, m: 8, r: 2, s: 1, a: 1}. What is prob of picking 3 m, 1 p, and 1 r?", "a": "140/2907" }, { "q": "What is prob of picking 2 x and 3 b when five letters picked without replacement from xbbxbxbbbxbbxbxx?", "a": "21/52" }, { "q": "Calculate prob of picking 1 e and 4 v when five letters picked without replacement from {v: 7, m: 7, e: 1}.", "a": "5/429" }, { "q": "Five letters picked without replacement from {i: 1, m: 5}. What is prob of picking 5 m?", "a": "1/6" }, { "q": "Five letters picked without replacement from {v: 7, c: 2, y: 2, u: 1, h: 2}. Give prob of picking 2 v, 2 h, and 1 y.", "a": "3/143" }, { "q": "What is prob of picking 4 k and 1 d when five letters picked without replacement from {w: 1, k: 6, n: 4, d: 6}?", "a": "45/3094" }, { "q": "Five letters picked without replacement from zzzzdzjdjzzdzdzddz. Give prob of picking 5 z.", "a": "1/34" }, { "q": "Calculate prob of picking 1 u, 1 b, and 3 o when five letters picked without replacement from baubobaaroaoaabooara.", "a": "5/1938" }, { "q": "Five letters picked without replacement from {z: 2, s: 1, k: 3, j: 1, a: 3, p: 1}. Give prob of picking 3 k, 1 j, and 1 z.", "a": "1/231" }, { "q": "Calculate prob of picking 2 l and 3 v when five letters picked without replacement from llnvlvlllvlvhn.", "a": "6/143" }, { "q": "Calculate prob of picking 2 n and 3 u when five letters picked without replacement from unnnuun.", "a": "2/7" }, { "q": "What is prob of picking 4 h and 1 p when five letters picked without replacement from ppphphphhhhhhhhh?", "a": "275/728" }, { "q": "Calculate prob of picking 3 s, 1 o, and 1 y when five letters picked without replacement from {s: 3, m: 1, t: 2, o: 3, n: 4, y: 1}.", "a": "3/2002" }, { "q": "Five letters picked without replacement from xfxfxe. What is prob of picking 1 e, 2 x, and 2 f?", "a": "1/2" }, { "q": "Five letters picked without replacement from {p: 1, e: 11, u: 1, v: 3, s: 4}. Give prob of picking 1 u and 4 s.", "a": "1/15504" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from oooqoqooqqqqqqq?", "a": "2/1001" }, { "q": "Five letters picked without replacement from trtbrbsjtrn. What is prob of picking 1 b, 1 j, 1 n, 1 r, and 1 t?", "a": "3/77" }, { "q": "Calculate prob of picking 2 p and 3 w when five letters picked without replacement from pwwppwwwwwpwppwww.", "a": "2475/6188" }, { "q": "Calculate prob of picking 1 s, 1 d, and 3 e when five letters picked without replacement from {e: 3, s: 6, d: 1, y: 6}.", "a": "1/728" }, { "q": "Calculate prob of picking 1 m, 3 w, and 1 t when five letters picked without replacement from ihwtimitmmhtmiwwimih.", "a": "5/5168" }, { "q": "Five letters picked without replacement from {o: 2, c: 14}. Give prob of picking 2 o and 3 c.", "a": "1/12" }, { "q": "Five letters picked without replacement from jljljljjjlljlljjjjl. Give prob of picking 5 j.", "a": "77/1938" }, { "q": "What is prob of picking 2 r and 3 d when five letters picked without replacement from {r: 11, d: 6, w: 1}?", "a": "275/2142" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from lwlwdlxlxllvddlddddd.", "a": "7/5168" }, { "q": "Five letters picked without replacement from vxxvxxvxvxxxx. Give prob of picking 1 x and 4 v.", "a": "1/143" }, { "q": "Five letters picked without replacement from {j: 2, g: 3, i: 6, m: 5}. What is prob of picking 3 g and 2 i?", "a": "5/1456" }, { "q": "Five letters picked without replacement from gagggagaagaa. Give prob of picking 5 g.", "a": "1/132" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from {l: 8, f: 11}.", "a": "77/1938" }, { "q": "Calculate prob of picking 1 z, 3 s, and 1 x when five letters picked without replacement from shhsxslz.", "a": "1/56" }, { "q": "Calculate prob of picking 2 j and 3 z when five letters picked without replacement from szzzzjzszzszjzszjzzs.", "a": "55/1292" }, { "q": "What is prob of picking 4 i and 1 z when five letters picked without replacement from xzizzixzzixzzziiizx?", "a": "15/1292" }, { "q": "Calculate prob of picking 1 q and 4 i when five letters picked without replacement from {i: 7, q: 5}.", "a": "175/792" }, { "q": "What is prob of picking 1 d, 2 l, and 2 w when five letters picked without replacement from {d: 4, r: 8, w: 4, l: 4}?", "a": "3/323" }, { "q": "Five letters picked without replacement from wmmwwwwmwmm. Give prob of picking 1 m and 4 w.", "a": "25/154" }, { "q": "Five letters picked without replacement from {k: 7, a: 4, s: 5, g: 3}. Give prob of picking 1 s, 2 k, 1 g, and 1 a.", "a": "35/323" }, { "q": "Five letters picked without replacement from {z: 5, k: 12}. Give prob of picking 1 k and 4 z.", "a": "15/1547" }, { "q": "What is prob of picking 2 t and 3 x when five letters picked without replacement from {x: 3, t: 12}?", "a": "2/91" }, { "q": "Five letters picked without replacement from olyayyywyoolwootly. Give prob of picking 2 w, 1 o, and 2 y.", "a": "25/2856" }, { "q": "Five letters picked without replacement from {a: 3, f: 1, z: 4, h: 2, q: 5}. What is prob of picking 3 z and 2 h?", "a": "4/3003" }, { "q": "Five letters picked without replacement from aahahahhhah. What is prob of picking 1 a and 4 h?", "a": "25/154" }, { "q": "Five letters picked without replacement from deedjdeeedj. Give prob of picking 4 e and 1 d.", "a": "10/231" }, { "q": "What is prob of picking 3 w and 2 b when five letters picked without replacement from {b: 15, w: 5}?", "a": "175/2584" }, { "q": "Calculate prob of picking 1 u and 4 s when five letters picked without replacement from {u: 3, s: 11}.", "a": "45/91" }, { "q": "Calculate prob of picking 4 d and 1 l when five letters picked without replacement from dldldddl.", "a": "15/56" }, { "q": "Calculate prob of picking 3 a and 2 n when five letters picked without replacement from aanqnaaanqanaaqnn.", "a": "30/221" }, { "q": "Five letters picked without replacement from {p: 3, b: 6, c: 3, u: 1}. What is prob of picking 1 c, 1 p, and 3 b?", "a": "20/143" }, { "q": "Five letters picked without replacement from {o: 1, f: 7}. Give prob of picking 5 f.", "a": "3/8" }, { "q": "Five letters picked without replacement from jjjijjjjjrrijr. Give prob of picking 2 j, 2 r, and 1 i.", "a": "108/1001" }, { "q": "Five letters picked without replacement from mmmmmmmmmm. Give prob of picking 5 m.", "a": "1" }, { "q": "Five letters picked without replacement from rrrrrrrrrjrrrrrrjr. Give prob of picking 4 r and 1 j.", "a": "65/153" }, { "q": "Calculate prob of picking 4 x and 1 t when five letters picked without replacement from xtdxtd.", "a": "0" }, { "q": "What is prob of picking 4 b and 1 o when five letters picked without replacement from {e: 5, k: 1, b: 4, l: 2, o: 1}?", "a": "1/1287" }, { "q": "Five letters picked without replacement from {j: 6, t: 1, n: 1, k: 3}. What is prob of picking 1 n, 3 k, and 1 t?", "a": "1/462" }, { "q": "Five letters picked without replacement from {s: 9, z: 1, j: 4, y: 2, v: 1}. Give prob of picking 4 j and 1 s.", "a": "9/6188" }, { "q": "What is prob of picking 4 v and 1 c when five letters picked without replacement from {v: 5, c: 7}?", "a": "35/792" }, { "q": "Five letters picked without replacement from {y: 7, k: 1, z: 6, c: 2, w: 3}. What is prob of picking 1 k, 3 z, and 1 c?", "a": "10/2907" }, { "q": "Five letters picked without replacement from {g: 1, a: 5, x: 2, t: 1, q: 1, r: 5}. What is prob of picking 1 t, 1 a, 1 g, and 2 x?", "a": "5/3003" }, { "q": "Calculate prob of picking 1 i, 1 l, and 3 u when five letters picked without replacement from {u: 4, l: 6, i: 1, n: 2, a: 5}.", "a": "1/357" }, { "q": "Five letters picked without replacement from {b: 9, x: 4}. Give prob of picking 2 b and 3 x.", "a": "16/143" }, { "q": "Five letters picked without replacement from yfffyvxyyxvyfyxxyy. What is prob of picking 1 y, 2 f, and 2 x?", "a": "4/119" }, { "q": "What is prob of picking 2 e and 3 o when five letters picked without replacement from {e: 8, w: 4, o: 6}?", "a": "10/153" }, { "q": "What is prob of picking 3 t and 2 u when five letters picked without replacement from {u: 3, t: 12}?", "a": "20/91" }, { "q": "What is prob of picking 4 s and 1 v when five letters picked without replacement from vvvsvvvvvvvvsvvvv?", "a": "0" }, { "q": "Five letters picked without replacement from mmwmwwmwwwmwmmmwwrw. Give prob of picking 1 w and 4 m.", "a": "175/2907" }, { "q": "Five letters picked without replacement from {t: 1, k: 3, z: 2, q: 1, n: 2}. Give prob of picking 2 q, 2 n, and 1 k.", "a": "0" }, { "q": "Five letters picked without replacement from {p: 7, v: 3, x: 4, s: 2}. Give prob of picking 1 s, 3 p, and 1 x.", "a": "5/78" }, { "q": "Five letters picked without replacement from upuhbbbp. Give prob of picking 1 h, 3 b, and 1 u.", "a": "1/28" }, { "q": "Five letters picked without replacement from {m: 2, p: 4, x: 9}. Give prob of picking 4 x and 1 m.", "a": "12/143" }, { "q": "Five letters picked without replacement from dhdodddooddodhd. Give prob of picking 1 o and 4 d.", "a": "24/143" }, { "q": "What is prob of picking 2 t and 3 g when five letters picked without replacement from ttgtggggggg?", "a": "4/11" }, { "q": "What is prob of picking 3 x and 2 n when five letters picked without replacement from nxkpplslpskpplppslsn?", "a": "0" }, { "q": "Five letters picked without replacement from {b: 2, w: 7, p: 6}. What is prob of picking 3 w and 2 b?", "a": "5/429" }, { "q": "What is prob of picking 1 p and 4 y when five letters picked without replacement from {q: 1, l: 1, m: 5, p: 3, y: 4}?", "a": "3/2002" }, { "q": "What is prob of picking 2 s and 3 f when five letters picked without replacement from skffttfttsxssv?", "a": "3/1001" }, { "q": "What is prob of picking 1 v and 4 k when five letters picked without replacement from nkvkbbnvkvnkbbvn?", "a": "1/1092" }, { "q": "Five letters picked without replacement from {s: 1, g: 3, t: 1, a: 1, l: 2}. What is prob of picking 3 g, 1 a, and 1 l?", "a": "1/28" }, { "q": "Five letters picked without replacement from ssmghvglssmggg. Give prob of picking 1 l, 2 s, and 2 g.", "a": "30/1001" }, { "q": "Calculate prob of picking 3 p and 2 c when five letters picked without replacement from {s: 5, c: 4, p: 3}.", "a": "1/132" }, { "q": "What is prob of picking 2 t, 1 o, and 2 l when five letters picked without replacement from {o: 1, t: 2, l: 4, c: 1}?", "a": "3/28" }, { "q": "Calculate prob of picking 1 p, 2 r, and 2 f when five letters picked without replacement from fripfopppfppirrofpop.", "a": "3/323" }, { "q": "Five letters picked without replacement from kkkofmkkakkakma. What is prob of picking 5 k?", "a": "8/429" }, { "q": "What is prob of picking 2 n and 3 j when five letters picked without replacement from njnjnjjjjjnjnnnn?", "a": "14/39" }, { "q": "What is prob of picking 1 m, 1 r, and 3 t when five letters picked without replacement from {t: 4, r: 4, m: 2}?", "a": "8/63" }, { "q": "Five letters picked without replacement from bppppppppp. Give prob of picking 1 b and 4 p.", "a": "1/2" }, { "q": "What is prob of picking 4 n and 1 s when five letters picked without replacement from {y: 1, n: 5, s: 4}?", "a": "5/63" }, { "q": "Five letters picked without replacement from {p: 1, n: 4, e: 2, g: 5, h: 2}. What is prob of picking 1 p, 3 g, and 1 h?", "a": "10/1001" }, { "q": "Five letters picked without replacement from ggggggzzggzzgggg. Give prob of picking 2 z and 3 g.", "a": "55/182" }, { "q": "Calculate prob of picking 1 l, 1 i, and 3 j when five letters picked without replacement from wljiwwiwikjwliijwji.", "a": "4/969" }, { "q": "What is prob of picking 4 h and 1 j when five letters picked without replacement from hhjhhhjhhh?", "a": "5/9" }, { "q": "What is prob of picking 3 i and 2 s when five letters picked without replacement from iifiiissiipiissii?", "a": "495/3094" }, { "q": "Five letters picked without replacement from jjjbjajjbj. What is prob of picking 3 j, 1 b, and 1 a?", "a": "5/18" }, { "q": "Five letters picked without replacement from pipryhl. What is prob of picking 1 l, 2 p, 1 h, and 1 i?", "a": "1/21" }, { "q": "Five letters picked without replacement from yzyyyzyzyzzzyz. What is prob of picking 5 z?", "a": "3/286" }, { "q": "Calculate prob of picking 1 o and 4 h when five letters picked without replacement from ohhhoooohoo.", "a": "1/66" }, { "q": "Five letters picked without replacement from mkjkkmmkkmkkmmkkkmm. Give prob of picking 1 m and 4 k.", "a": "140/969" }, { "q": "Five letters picked without replacement from ttaatataaaaatt. What is prob of picking 5 a?", "a": "4/143" }, { "q": "What is prob of picking 3 g, 1 c, and 1 n when five letters picked without replacement from {g: 3, c: 2, r: 1, k: 1, z: 2, n: 2}?", "a": "2/231" }, { "q": "Calculate prob of picking 2 g, 1 z, 1 v, and 1 l when five letters picked without replacement from {g: 1, l: 1, v: 1, z: 1, h: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from sgyjmag. Give prob of picking 5 j.", "a": "0" }, { "q": "Five letters picked without replacement from lwbbbhcchbc. What is prob of picking 4 b and 1 l?", "a": "1/462" }, { "q": "Calculate prob of picking 4 g and 1 k when five letters picked without replacement from {k: 5, g: 8}.", "a": "350/1287" }, { "q": "Calculate prob of picking 1 j, 2 t, and 2 c when five letters picked without replacement from jjwmjttjjtccmmmcecj.", "a": "3/323" }, { "q": "Five letters picked without replacement from yybyyyybbyyybbbybyyy. Give prob of picking 3 b and 2 y.", "a": "455/2584" }, { "q": "Five letters picked without replacement from omhfvm. Give prob of picking 1 h, 1 o, 1 f, 1 m, and 1 v.", "a": "1/3" }, { "q": "Five letters picked without replacement from {i: 6, m: 6}. Give prob of picking 1 i and 4 m.", "a": "5/44" }, { "q": "Five letters picked without replacement from {b: 1, r: 14, j: 3}. Give prob of picking 4 r and 1 j.", "a": "143/408" }, { "q": "Five letters picked without replacement from tzouoxotuztxtoxj. What is prob of picking 1 j, 1 u, 2 x, and 1 t?", "a": "1/182" }, { "q": "What is prob of picking 2 l and 3 n when five letters picked without replacement from nllnnwwlllnlnl?", "a": "15/143" }, { "q": "Five letters picked without replacement from {v: 5, j: 2, a: 1, x: 1, m: 8}. Give prob of picking 1 j, 3 v, and 1 m.", "a": "40/1547" }, { "q": "What is prob of picking 1 e, 1 i, and 3 d when five letters picked without replacement from {i: 3, d: 6, o: 1, e: 1}?", "a": "10/77" }, { "q": "Five letters picked without replacement from lqssssqlssffqfwswfqs. What is prob of picking 1 q, 3 s, and 1 w?", "a": "28/969" }, { "q": "Five letters picked without replacement from jjjjjjjzjz. What is prob of picking 3 j and 2 z?", "a": "2/9" }, { "q": "Calculate prob of picking 2 y, 2 j, and 1 f when five letters picked without replacement from jpyjyjffjjf.", "a": "5/77" }, { "q": "Calculate prob of picking 3 i, 1 e, and 1 b when five letters picked without replacement from eeeiibeibebie.", "a": "8/143" }, { "q": "Five letters picked without replacement from ccfccffzirffcciffc. What is prob of picking 3 f, 1 r, and 1 i?", "a": "5/612" }, { "q": "Five letters picked without replacement from {c: 1, t: 1, r: 3, s: 2, k: 5, l: 2}. Give prob of picking 1 c, 1 l, and 3 k.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {y: 1, k: 2, z: 3, w: 4}. Give prob of picking 2 z and 3 w.", "a": "1/21" }, { "q": "Five letters picked without replacement from {z: 3, y: 3, m: 2}. What is prob of picking 3 z, 1 y, and 1 m?", "a": "3/28" }, { "q": "Five letters picked without replacement from {e: 4, g: 5}. What is prob of picking 3 e and 2 g?", "a": "20/63" }, { "q": "Calculate prob of picking 1 v, 1 r, 1 q, and 2 h when five letters picked without replacement from {v: 1, h: 2, q: 6, r: 5}.", "a": "15/1001" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from pssssssssp.", "a": "2/9" }, { "q": "What is prob of picking 2 u and 3 o when five letters picked without replacement from uoouoooooooouuuuu?", "a": "90/221" }, { "q": "Five letters picked without replacement from blbllblbbbbblblbb. What is prob of picking 5 l?", "a": "3/3094" }, { "q": "Calculate prob of picking 3 l and 2 k when five letters picked without replacement from vclllvklkhvv.", "a": "1/198" }, { "q": "Five letters picked without replacement from ssuusssusujjuujuus. What is prob of picking 3 j and 2 s?", "a": "1/408" }, { "q": "Calculate prob of picking 1 x, 1 s, 2 h, and 1 n when five letters picked without replacement from {c: 5, x: 3, h: 2, f: 2, n: 1, s: 2}.", "a": "2/1001" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from cccuucuucuuc.", "a": "1/132" }, { "q": "Five letters picked without replacement from tztzuazhzhurtu. Give prob of picking 1 a, 1 h, 1 r, and 2 z.", "a": "6/1001" }, { "q": "What is prob of picking 1 s and 4 c when five letters picked without replacement from sifcfccfccfkfcsxkf?", "a": "5/1428" }, { "q": "Calculate prob of picking 2 s, 2 g, and 1 v when five letters picked without replacement from {s: 3, v: 1, g: 4, l: 2}.", "a": "1/14" }, { "q": "Five letters picked without replacement from {e: 7, v: 2, o: 4}. What is prob of picking 1 e, 2 v, and 2 o?", "a": "14/429" }, { "q": "Five letters picked without replacement from {s: 8, y: 1}. Give prob of picking 4 s and 1 y.", "a": "5/9" }, { "q": "Calculate prob of picking 4 t and 1 v when five letters picked without replacement from tvtttvvtvvtt.", "a": "175/792" }, { "q": "Calculate prob of picking 1 k and 4 a when five letters picked without replacement from {a: 9, j: 4, c: 3, k: 4}.", "a": "21/646" }, { "q": "What is prob of picking 1 r, 1 e, 2 k, and 1 t when five letters picked without replacement from rkeeerrrtkctretpr?", "a": "18/1547" }, { "q": "Calculate prob of picking 1 o, 2 y, 1 b, and 1 r when five letters picked without replacement from {y: 2, o: 3, b: 6, r: 2}.", "a": "4/143" }, { "q": "Five letters picked without replacement from ggsdggggggdg. Give prob of picking 2 d and 3 g.", "a": "7/66" }, { "q": "Calculate prob of picking 2 s and 3 x when five letters picked without replacement from oocsngxsgxxn.", "a": "1/792" }, { "q": "Calculate prob of picking 1 x, 1 y, 1 s, and 2 a when five letters picked without replacement from xyvsasxxuyxxxsas.", "a": "1/91" }, { "q": "Five letters picked without replacement from hijhhjvijjjhjohioooi. Give prob of picking 1 h, 1 v, and 3 i.", "a": "5/3876" }, { "q": "Calculate prob of picking 1 p and 4 i when five letters picked without replacement from {p: 7, i: 13}.", "a": "5005/15504" }, { "q": "Five letters picked without replacement from whhhhhhhhhxnwh. Give prob of picking 3 x, 1 w, and 1 n.", "a": "0" }, { "q": "What is prob of picking 1 c and 4 l when five letters picked without replacement from llclllc?", "a": "10/21" }, { "q": "What is prob of picking 1 w, 2 t, 1 m, and 1 h when five letters picked without replacement from {t: 6, w: 2, h: 1, y: 8, m: 1}?", "a": "5/1428" }, { "q": "Five letters picked without replacement from wwxxxdwwxwxx. What is prob of picking 1 d and 4 x?", "a": "5/264" }, { "q": "Calculate prob of picking 1 e, 3 m, and 1 t when five letters picked without replacement from {b: 2, t: 1, d: 2, m: 5, e: 1}.", "a": "5/231" }, { "q": "What is prob of picking 3 i and 2 g when five letters picked without replacement from ggggiigxi?", "a": "5/63" }, { "q": "Five letters picked without replacement from mmmhrrmhmmhhmrmmmm. Give prob of picking 2 h, 1 r, and 2 m.", "a": "55/476" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from auuaaaauauua?", "a": "1/792" }, { "q": "Five letters picked without replacement from piiniiiiiiniipipi. Give prob of picking 3 p, 1 n, and 1 i.", "a": "6/1547" }, { "q": "Calculate prob of picking 2 q and 3 b when five letters picked without replacement from {e: 8, g: 2, q: 2, b: 4}.", "a": "1/1092" }, { "q": "Calculate prob of picking 2 z, 1 b, and 2 o when five letters picked without replacement from obzocmbqbbooboobzob.", "a": "49/3876" }, { "q": "What is prob of picking 2 v and 3 p when five letters picked without replacement from vvvvpvpvvvvpvqv?", "a": "5/273" }, { "q": "Five letters picked without replacement from lllkmllmmlll. What is prob of picking 4 l and 1 m?", "a": "35/132" }, { "q": "Calculate prob of picking 3 o and 2 g when five letters picked without replacement from gooogoooooo.", "a": "2/11" }, { "q": "Five letters picked without replacement from yylyydbyydyyhyhyt. Give prob of picking 1 y, 1 b, 2 d, and 1 l.", "a": "5/3094" }, { "q": "Five letters picked without replacement from woodroooawdwoaaooww. What is prob of picking 3 a, 1 o, and 1 w?", "a": "10/2907" }, { "q": "Calculate prob of picking 2 r and 3 n when five letters picked without replacement from {r: 4, n: 7, d: 6}.", "a": "15/442" }, { "q": "What is prob of picking 1 i, 2 y, and 2 l when five letters picked without replacement from {l: 2, r: 4, i: 1, y: 8, w: 3, n: 2}?", "a": "7/3876" }, { "q": "What is prob of picking 4 z and 1 h when five letters picked without replacement from {h: 5, z: 9}?", "a": "45/143" }, { "q": "What is prob of picking 1 k and 4 l when five letters picked without replacement from {k: 6, l: 7}?", "a": "70/429" }, { "q": "Calculate prob of picking 1 p, 1 a, 1 m, 1 b, and 1 z when five letters picked without replacement from vpbzmaa.", "a": "2/21" }, { "q": "Five letters picked without replacement from yykkyygygyyyyygky. What is prob of picking 1 y, 1 k, and 3 g?", "a": "33/6188" }, { "q": "Five letters picked without replacement from zyezyeycze. Give prob of picking 2 y and 3 e.", "a": "1/84" }, { "q": "Five letters picked without replacement from {f: 2, i: 1, w: 3}. Give prob of picking 2 f and 3 w.", "a": "1/6" }, { "q": "Five letters picked without replacement from {g: 1, s: 2, w: 2}. Give prob of picking 1 s, 3 w, and 1 g.", "a": "0" }, { "q": "Five letters picked without replacement from vvvvhv. What is prob of picking 4 v and 1 h?", "a": "5/6" }, { "q": "Calculate prob of picking 5 x when five letters picked without replacement from {s: 10, x: 8}.", "a": "1/153" }, { "q": "Five letters picked without replacement from {r: 4, q: 7, l: 2, h: 2}. What is prob of picking 2 q, 1 h, and 2 l?", "a": "2/143" }, { "q": "Calculate prob of picking 4 s and 1 d when five letters picked without replacement from {s: 17, d: 1, c: 2}.", "a": "35/228" }, { "q": "Five letters picked without replacement from {h: 6, y: 1}. What is prob of picking 5 h?", "a": "2/7" }, { "q": "What is prob of picking 4 j and 1 m when five letters picked without replacement from {j: 4, m: 3, z: 2}?", "a": "1/42" }, { "q": "Five letters picked without replacement from {x: 5, l: 1, m: 1, q: 11, w: 1}. What is prob of picking 5 q?", "a": "77/1938" }, { "q": "Calculate prob of picking 1 r, 1 f, and 3 l when five letters picked without replacement from {l: 7, r: 1, f: 1}.", "a": "5/18" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from dxdddxxdxdx?", "a": "1/462" }, { "q": "Five letters picked without replacement from ueuukuujueu. What is prob of picking 3 e and 2 u?", "a": "0" }, { "q": "Calculate prob of picking 4 n and 1 i when five letters picked without replacement from {i: 2, n: 6, v: 12}.", "a": "5/2584" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from {h: 6, a: 3}?", "a": "1/21" }, { "q": "Calculate prob of picking 3 g, 1 y, and 1 c when five letters picked without replacement from {y: 2, e: 1, c: 5, k: 5, g: 5, l: 2}.", "a": "25/3876" }, { "q": "Five letters picked without replacement from rireeiipiepvrrr. Give prob of picking 1 p and 4 i.", "a": "2/3003" }, { "q": "Five letters picked without replacement from {m: 7, b: 4, d: 7}. Give prob of picking 2 m and 3 b.", "a": "1/102" }, { "q": "Five letters picked without replacement from mrcmrrqryrymmm. What is prob of picking 5 m?", "a": "1/2002" }, { "q": "What is prob of picking 4 x and 1 c when five letters picked without replacement from {x: 5, c: 4}?", "a": "10/63" }, { "q": "Five letters picked without replacement from {f: 3, w: 3, d: 3, b: 1}. Give prob of picking 1 w, 1 f, and 3 d.", "a": "1/28" }, { "q": "Calculate prob of picking 3 z and 2 j when five letters picked without replacement from zjzjjjzjzzjzzzjjzjjz.", "a": "225/646" }, { "q": "Five letters picked without replacement from {i: 4, k: 5, j: 11}. What is prob of picking 5 k?", "a": "1/15504" }, { "q": "What is prob of picking 2 x and 3 y when five letters picked without replacement from yxxyxyxxxyyxxxxx?", "a": "275/2184" }, { "q": "What is prob of picking 3 a and 2 l when five letters picked without replacement from {a: 5, l: 3}?", "a": "15/28" }, { "q": "Calculate prob of picking 3 a and 2 k when five letters picked without replacement from kaakaa.", "a": "2/3" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from tgtggttttgtttggttg.", "a": "1/408" }, { "q": "Calculate prob of picking 2 u and 3 l when five letters picked without replacement from {u: 6, l: 1, j: 8, a: 2}.", "a": "0" }, { "q": "Five letters picked without replacement from {o: 7, q: 7}. What is prob of picking 1 q and 4 o?", "a": "35/286" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 12, t: 7}.", "a": "22/323" }, { "q": "Five letters picked without replacement from {i: 3, q: 8, k: 7}. What is prob of picking 2 q and 3 i?", "a": "1/306" }, { "q": "Calculate prob of picking 4 u and 1 b when five letters picked without replacement from {p: 1, u: 6, o: 1, b: 2}.", "a": "5/42" }, { "q": "Five letters picked without replacement from zvzvzvvvzvvvvvvv. Give prob of picking 3 v and 2 z.", "a": "55/182" }, { "q": "Five letters picked without replacement from ttttsstttttsttt. What is prob of picking 2 s and 3 t?", "a": "20/91" }, { "q": "Five letters picked without replacement from ooooooo. Give prob of picking 5 o.", "a": "1" }, { "q": "What is prob of picking 1 q, 1 e, 2 d, and 1 i when five letters picked without replacement from ddldezeddqlqqdqid?", "a": "6/221" }, { "q": "Calculate prob of picking 1 f and 4 b when five letters picked without replacement from bbabfbbbbb.", "a": "5/18" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {j: 5, b: 4}?", "a": "1/126" }, { "q": "What is prob of picking 2 q and 3 t when five letters picked without replacement from cqtlcttltcccctqlll?", "a": "5/4284" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gxxgxxggxxggxxgg?", "a": "1/78" }, { "q": "Calculate prob of picking 4 b and 1 g when five letters picked without replacement from bggggbbggggbngbnbggb.", "a": "385/15504" }, { "q": "What is prob of picking 1 m, 3 i, and 1 g when five letters picked without replacement from mgigbimimmbbmgbii?", "a": "75/3094" }, { "q": "What is prob of picking 4 s and 1 m when five letters picked without replacement from sssssmsssssssm?", "a": "45/91" }, { "q": "Calculate prob of picking 3 u and 2 d when five letters picked without replacement from uzuzzdzzuuuuuud.", "a": "8/429" }, { "q": "Five letters picked without replacement from {b: 7, r: 1, g: 4, s: 3, h: 4}. Give prob of picking 1 s and 4 b.", "a": "35/3876" }, { "q": "Five letters picked without replacement from {c: 7, g: 1}. Give prob of picking 5 c.", "a": "3/8" }, { "q": "Calculate prob of picking 3 y, 1 p, and 1 o when five letters picked without replacement from oopyoyyypypopoooy.", "a": "20/221" }, { "q": "What is prob of picking 2 c and 3 b when five letters picked without replacement from cbbcbbbccb?", "a": "10/21" }, { "q": "Calculate prob of picking 4 v and 1 h when five letters picked without replacement from {v: 13, h: 4}.", "a": "55/119" }, { "q": "What is prob of picking 2 x and 3 h when five letters picked without replacement from hlshasxshsxxh?", "a": "4/429" }, { "q": "Calculate prob of picking 1 r, 1 c, 2 h, and 1 j when five letters picked without replacement from {j: 5, c: 4, h: 2, r: 5}.", "a": "25/1092" }, { "q": "What is prob of picking 1 k, 1 i, and 3 a when five letters picked without replacement from {h: 1, i: 2, c: 2, k: 1, a: 1}?", "a": "0" }, { "q": "Calculate prob of picking 2 x, 1 l, 1 n, and 1 j when five letters picked without replacement from {n: 4, x: 3, m: 3, l: 8, j: 1, i: 1}.", "a": "2/323" }, { "q": "Five letters picked without replacement from {y: 1, b: 1, e: 5, x: 2, a: 4, w: 7}. What is prob of picking 4 a and 1 b?", "a": "1/15504" }, { "q": "What is prob of picking 2 j and 3 c when five letters picked without replacement from {e: 4, j: 3, c: 3}?", "a": "1/84" }, { "q": "Five letters picked without replacement from {g: 2, z: 2, d: 1, r: 2, w: 3, m: 3}. Give prob of picking 2 g, 1 r, 1 d, and 1 z.", "a": "4/1287" }, { "q": "Five letters picked without replacement from etvtettevtveevv. What is prob of picking 3 e and 2 t?", "a": "100/3003" }, { "q": "Calculate prob of picking 4 f and 1 k when five letters picked without replacement from {k: 4, f: 5}.", "a": "10/63" }, { "q": "Five letters picked without replacement from xxxffxnvffnbnlflfx. What is prob of picking 1 l, 1 b, 2 x, and 1 n?", "a": "5/714" }, { "q": "Five letters picked without replacement from {j: 2, u: 1, o: 6, c: 6, w: 5}. What is prob of picking 2 j, 2 c, and 1 w?", "a": "25/5168" }, { "q": "What is prob of picking 1 n, 1 u, 1 f, and 2 p when five letters picked without replacement from wwwwwuwppwnlwfww?", "a": "1/4368" }, { "q": "Calculate prob of picking 2 l, 1 r, and 2 m when five letters picked without replacement from moljralomaja.", "a": "1/792" }, { "q": "Five letters picked without replacement from zhhhqcqzzqc. Give prob of picking 3 q and 2 z.", "a": "1/154" }, { "q": "Five letters picked without replacement from yqtfstdyfsyyys. Give prob of picking 1 s, 3 y, and 1 q.", "a": "15/1001" }, { "q": "Calculate prob of picking 3 c and 2 q when five letters picked without replacement from {h: 1, q: 6, c: 6}.", "a": "100/429" }, { "q": "What is prob of picking 3 d and 2 h when five letters picked without replacement from {d: 3, a: 5, u: 1, h: 6, j: 2, y: 2}?", "a": "5/3876" }, { "q": "What is prob of picking 4 g and 1 j when five letters picked without replacement from {g: 14, j: 2}?", "a": "11/24" }, { "q": "What is prob of picking 4 p and 1 u when five letters picked without replacement from pupuppppuuppuuupuu?", "a": "9/68" }, { "q": "Five letters picked without replacement from {o: 1, m: 5, h: 1, p: 2, f: 4, r: 2}. What is prob of picking 1 r, 2 f, 1 p, and 1 h?", "a": "8/1001" }, { "q": "What is prob of picking 2 m and 3 d when five letters picked without replacement from dmdmommmdommmdd?", "a": "40/429" }, { "q": "What is prob of picking 2 y and 3 h when five letters picked without replacement from hyyyyyhyhyyhhhyyhhyy?", "a": "77/323" }, { "q": "Calculate prob of picking 1 d, 1 m, 2 w, and 1 z when five letters picked without replacement from dwwwmwwzmwzmwywyyy.", "a": "1/51" }, { "q": "Five letters picked without replacement from {l: 7, u: 12}. Give prob of picking 4 u and 1 l.", "a": "385/1292" }, { "q": "What is prob of picking 2 i and 3 u when five letters picked without replacement from uuiiiiiiiuiikiuuikk?", "a": "275/5814" }, { "q": "Five letters picked without replacement from {y: 16, w: 1}. What is prob of picking 5 y?", "a": "12/17" }, { "q": "What is prob of picking 1 g, 1 x, 2 e, and 1 f when five letters picked without replacement from {g: 5, x: 1, t: 1, f: 1, e: 5}?", "a": "50/1287" }, { "q": "Calculate prob of picking 2 n, 2 h, and 1 w when five letters picked without replacement from {w: 2, n: 2, h: 3}.", "a": "2/7" }, { "q": "Five letters picked without replacement from {d: 9}. Give prob of picking 5 d.", "a": "1" }, { "q": "Five letters picked without replacement from ddddqfdrfdqqfdqddrf. What is prob of picking 1 r and 4 f?", "a": "1/5814" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from {y: 3, o: 6}.", "a": "0" }, { "q": "Calculate prob of picking 2 k, 2 b, and 1 r when five letters picked without replacement from exxkxrbrkxbb.", "a": "1/132" }, { "q": "Calculate prob of picking 1 w and 4 h when five letters picked without replacement from {w: 2, a: 7, h: 7}.", "a": "5/312" }, { "q": "Five letters picked without replacement from ebggj. What is prob of picking 1 j, 2 g, and 2 e?", "a": "0" }, { "q": "Five letters picked without replacement from kkkdkkddkk. What is prob of picking 5 k?", "a": "1/12" }, { "q": "Five letters picked without replacement from mmmmammm. Give prob of picking 1 a and 4 m.", "a": "5/8" }, { "q": "Five letters picked without replacement from nssnnnnssnsnnnnnsnns. Give prob of picking 5 n.", "a": "429/5168" }, { "q": "Five letters picked without replacement from tlhllt. Give prob of picking 3 l, 1 t, and 1 h.", "a": "1/3" }, { "q": "Five letters picked without replacement from rhqhhqqrqrrnrjqhq. What is prob of picking 1 n, 1 r, 1 h, and 2 q?", "a": "75/1547" }, { "q": "Calculate prob of picking 2 o and 3 c when five letters picked without replacement from omoiiciiioomcocc.", "a": "5/546" }, { "q": "Five letters picked without replacement from {b: 3, j: 4, f: 1, i: 5, h: 5, l: 1}. What is prob of picking 1 f, 1 l, and 3 b?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {u: 2, r: 11}. Give prob of picking 1 u and 4 r.", "a": "20/39" }, { "q": "Five letters picked without replacement from njnjnnnnjjj. What is prob of picking 3 j and 2 n?", "a": "25/77" }, { "q": "What is prob of picking 3 d and 2 m when five letters picked without replacement from {m: 3, d: 7}?", "a": "5/12" }, { "q": "Five letters picked without replacement from ltiiixstustlix. What is prob of picking 1 i, 1 t, 1 l, 1 u, and 1 x?", "a": "24/1001" }, { "q": "What is prob of picking 2 q and 3 v when five letters picked without replacement from vqvvvvvqvvvvqvqq?", "a": "275/728" }, { "q": "What is prob of picking 1 f, 2 i, and 2 k when five letters picked without replacement from xikikxikkjxkjjjffif?", "a": "5/323" }, { "q": "Calculate prob of picking 1 y, 2 v, and 2 t when five letters picked without replacement from {v: 2, t: 2, y: 2}.", "a": "1/3" }, { "q": "What is prob of picking 2 a and 3 u when five letters picked without replacement from uaauuuuuau?", "a": "5/12" }, { "q": "Five letters picked without replacement from {g: 3, l: 2, h: 3, q: 8}. What is prob of picking 1 l, 3 g, and 1 h?", "a": "1/728" }, { "q": "Five letters picked without replacement from juujtuuuu. Give prob of picking 5 u.", "a": "1/21" }, { "q": "Five letters picked without replacement from {d: 3, o: 8}. Give prob of picking 3 d and 2 o.", "a": "2/33" }, { "q": "Calculate prob of picking 1 h, 3 n, and 1 e when five letters picked without replacement from {n: 8, h: 2, e: 4}.", "a": "32/143" }, { "q": "Five letters picked without replacement from {z: 13, u: 7}. Give prob of picking 2 z and 3 u.", "a": "455/2584" }, { "q": "Five letters picked without replacement from yyhhoyhyhoyyyhyhyy. Give prob of picking 5 h.", "a": "1/1428" }, { "q": "Five letters picked without replacement from cwwcwcccccwwcwccww. What is prob of picking 5 c?", "a": "1/34" }, { "q": "Calculate prob of picking 3 l, 1 u, and 1 s when five letters picked without replacement from {c: 8, u: 5, l: 3, s: 1}.", "a": "5/6188" }, { "q": "What is prob of picking 3 d and 2 b when five letters picked without replacement from {d: 5, b: 9}?", "a": "180/1001" }, { "q": "Five letters picked without replacement from {i: 7, f: 3, y: 1, e: 4}. Give prob of picking 3 i and 2 e.", "a": "10/143" }, { "q": "Five letters picked without replacement from {h: 2, l: 1, q: 5, f: 6, t: 4, g: 1}. What is prob of picking 2 q, 1 l, 1 g, and 1 t?", "a": "10/2907" }, { "q": "Calculate prob of picking 1 l, 1 y, 1 e, 1 d, and 1 m when five letters picked without replacement from dldmgdmyddddllle.", "a": "1/78" }, { "q": "Calculate prob of picking 2 t, 1 s, and 2 g when five letters picked without replacement from {t: 2, u: 2, g: 7, s: 8, f: 1}.", "a": "7/646" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from tttttttttttttwtt.", "a": "11/16" }, { "q": "What is prob of picking 1 j, 1 b, and 3 r when five letters picked without replacement from {j: 3, b: 8, r: 7, p: 2}?", "a": "35/646" }, { "q": "Five letters picked without replacement from {m: 5, g: 5, i: 5}. Give prob of picking 3 g and 2 m.", "a": "100/3003" }, { "q": "Calculate prob of picking 2 r, 2 q, and 1 w when five letters picked without replacement from {r: 5, w: 1, q: 2, b: 2}.", "a": "5/126" }, { "q": "Five letters picked without replacement from dbdddbfdtdbtfdtbb. Give prob of picking 1 t, 2 d, and 2 b.", "a": "45/442" }, { "q": "Five letters picked without replacement from {i: 5, c: 11}. What is prob of picking 3 c and 2 i?", "a": "275/728" }, { "q": "What is prob of picking 1 a, 2 j, and 2 z when five letters picked without replacement from {a: 4, v: 2, z: 4, j: 7}?", "a": "18/221" }, { "q": "Five letters picked without replacement from {n: 4, f: 2, o: 14}. What is prob of picking 2 n and 3 o?", "a": "91/646" }, { "q": "Five letters picked without replacement from {h: 5, q: 1, s: 2, w: 3}. What is prob of picking 2 w, 2 s, and 1 q?", "a": "1/154" }, { "q": "Calculate prob of picking 1 h, 3 i, and 1 m when five letters picked without replacement from imojciimjmimihmihom.", "a": "20/969" }, { "q": "Calculate prob of picking 4 c and 1 m when five letters picked without replacement from {c: 4, m: 7}.", "a": "1/66" }, { "q": "What is prob of picking 2 s, 1 q, and 2 n when five letters picked without replacement from nncnsqssqqqdcsscsn?", "a": "5/119" }, { "q": "Five letters picked without replacement from bghbox. What is prob of picking 1 x, 2 g, and 2 o?", "a": "0" }, { "q": "What is prob of picking 3 s, 1 d, and 1 f when five letters picked without replacement from sddssfsfdfssssssdssd?", "a": "275/1292" }, { "q": "Five letters picked without replacement from {k: 1, l: 7}. Give prob of picking 1 k and 4 l.", "a": "5/8" }, { "q": "What is prob of picking 2 r, 1 t, and 2 b when five letters picked without replacement from {b: 4, d: 2, t: 2, r: 2, o: 7, p: 1}?", "a": "1/714" }, { "q": "What is prob of picking 2 b and 3 a when five letters picked without replacement from {b: 2, a: 9}?", "a": "2/11" }, { "q": "Five letters picked without replacement from {c: 1, d: 4, y: 2, q: 1}. What is prob of picking 1 q, 3 d, and 1 c?", "a": "1/14" }, { "q": "Calculate prob of picking 3 s and 2 b when five letters picked without replacement from {s: 3, v: 5, b: 3}.", "a": "1/154" }, { "q": "Five letters picked without replacement from {p: 2, j: 4, t: 6}. Give prob of picking 5 t.", "a": "1/132" }, { "q": "Five letters picked without replacement from {c: 2, i: 3, s: 4, b: 6}. Give prob of picking 2 s, 1 i, and 2 b.", "a": "90/1001" }, { "q": "Five letters picked without replacement from pppoxeggpxaxeg. What is prob of picking 1 p, 2 g, and 2 x?", "a": "18/1001" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from nnnnknnnkknnnnnknnkn?", "a": "1001/5168" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hhhrhhrrhhhrrhrrrrrr.", "a": "21/2584" }, { "q": "Five letters picked without replacement from {g: 2, i: 3, a: 10, b: 4, k: 1}. What is prob of picking 1 b, 1 i, 1 a, and 2 g?", "a": "5/646" }, { "q": "Five letters picked without replacement from mssqsssqqssssqsmm. What is prob of picking 2 m, 2 q, and 1 s?", "a": "45/1547" }, { "q": "Five letters picked without replacement from {k: 1, w: 1, a: 2, s: 1, p: 5, h: 4}. Give prob of picking 1 k, 1 s, and 3 p.", "a": "5/1001" }, { "q": "Calculate prob of picking 2 u and 3 h when five letters picked without replacement from hhhuuuuuuuuhhpdu.", "a": "15/182" }, { "q": "Five letters picked without replacement from ooffofffo. Give prob of picking 1 o and 4 f.", "a": "10/63" }, { "q": "Calculate prob of picking 2 g, 2 y, and 1 u when five letters picked without replacement from {t: 4, u: 7, y: 2, g: 5}.", "a": "5/612" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from {f: 10, o: 1, b: 8}.", "a": "7/323" }, { "q": "What is prob of picking 3 j, 1 q, and 1 b when five letters picked without replacement from {t: 1, j: 9, q: 3, b: 4}?", "a": "36/221" }, { "q": "What is prob of picking 3 c and 2 s when five letters picked without replacement from {c: 9, s: 2, h: 6, j: 3}?", "a": "7/1292" }, { "q": "Five letters picked without replacement from ywdjwuw. What is prob of picking 2 w, 1 y, 1 d, and 1 u?", "a": "1/7" }, { "q": "Five letters picked without replacement from oowoooobooboboobowb. What is prob of picking 1 o and 4 w?", "a": "0" }, { "q": "What is prob of picking 1 d, 1 q, 1 v, 1 a, and 1 h when five letters picked without replacement from hooqhhdadvdhdhovvahd?", "a": "15/1292" }, { "q": "Five letters picked without replacement from cbjcqqjqjjqjqqql. Give prob of picking 1 j and 4 q.", "a": "25/624" }, { "q": "Calculate prob of picking 2 t, 1 z, and 2 d when five letters picked without replacement from {t: 2, a: 2, d: 8, p: 3, z: 2}.", "a": "2/221" }, { "q": "Five letters picked without replacement from {n: 8, t: 3, c: 6}. Give prob of picking 2 t and 3 n.", "a": "6/221" }, { "q": "Five letters picked without replacement from {w: 2, k: 1, j: 2, e: 3, q: 1}. What is prob of picking 3 e, 1 w, and 1 q?", "a": "1/63" }, { "q": "Five letters picked without replacement from cjjjjjjjjjjj. Give prob of picking 5 j.", "a": "7/12" }, { "q": "Calculate prob of picking 3 y, 1 u, and 1 d when five letters picked without replacement from uoyyddyu.", "a": "1/14" }, { "q": "Five letters picked without replacement from sososssoxsxxxds. What is prob of picking 2 s and 3 o?", "a": "1/143" }, { "q": "Calculate prob of picking 1 o, 3 t, and 1 i when five letters picked without replacement from {i: 2, o: 1, n: 3, s: 1, t: 3, b: 1}.", "a": "1/231" }, { "q": "Five letters picked without replacement from citqkicibc. What is prob of picking 2 q, 1 b, 1 t, and 1 i?", "a": "0" }, { "q": "What is prob of picking 1 i, 2 m, and 2 a when five letters picked without replacement from ahagmaiieam?", "a": "2/77" }, { "q": "Five letters picked without replacement from ulfuufuulbufuufuubf. What is prob of picking 2 u, 2 f, and 1 b?", "a": "25/323" }, { "q": "Five letters picked without replacement from utcuwcw. What is prob of picking 1 w, 1 t, 2 c, and 1 u?", "a": "4/21" }, { "q": "Five letters picked without replacement from bfxfxffggffffgyx. What is prob of picking 1 x, 2 f, and 2 g?", "a": "3/52" }, { "q": "What is prob of picking 1 u, 2 a, and 2 p when five letters picked without replacement from aaagaapppjup?", "a": "5/66" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from rzzzzrzrr.", "a": "1/126" }, { "q": "What is prob of picking 1 o, 1 i, 1 n, and 2 b when five letters picked without replacement from uuommbuniiobbouu?", "a": "3/728" }, { "q": "Five letters picked without replacement from {n: 11, s: 6}. Give prob of picking 2 n and 3 s.", "a": "275/1547" }, { "q": "Five letters picked without replacement from {m: 5, f: 4, d: 2, h: 5, z: 1, n: 3}. Give prob of picking 1 d and 4 m.", "a": "5/7752" }, { "q": "Calculate prob of picking 1 s and 4 r when five letters picked without replacement from rhhrrshrrfrrrhr.", "a": "6/143" }, { "q": "What is prob of picking 1 l, 2 i, 1 b, and 1 p when five letters picked without replacement from pllyypblppii?", "a": "1/66" }, { "q": "Five letters picked without replacement from llccllccc. Give prob of picking 3 l and 2 c.", "a": "20/63" }, { "q": "Calculate prob of picking 1 j and 4 v when five letters picked without replacement from jjjvjvjvjvjjjjv.", "a": "50/3003" }, { "q": "Five letters picked without replacement from {p: 1, l: 7, o: 1, x: 6, w: 4}. Give prob of picking 2 w and 3 l.", "a": "35/1938" }, { "q": "Five letters picked without replacement from {x: 2, l: 10, z: 7}. What is prob of picking 3 l and 2 x?", "a": "10/969" }, { "q": "What is prob of picking 3 s and 2 h when five letters picked without replacement from {m: 3, s: 4, h: 2}?", "a": "2/63" }, { "q": "Five letters picked without replacement from aesstevsvspep. Give prob of picking 1 s, 1 t, 1 a, 1 e, and 1 p.", "a": "8/429" }, { "q": "Calculate prob of picking 2 z, 1 n, and 2 p when five letters picked without replacement from fpnzfdpfcdczpcccc.", "a": "3/6188" }, { "q": "What is prob of picking 2 b and 3 g when five letters picked without replacement from {g: 3, e: 1, b: 6, o: 10}?", "a": "5/5168" }, { "q": "Five letters picked without replacement from {v: 4, z: 1, b: 2, r: 2, x: 3, n: 5}. What is prob of picking 1 v, 2 n, and 2 b?", "a": "10/1547" }, { "q": "Five letters picked without replacement from {z: 7, n: 7}. Give prob of picking 5 n.", "a": "3/286" }, { "q": "Five letters picked without replacement from qquqququudqqqqdqdq. What is prob of picking 1 q, 3 u, and 1 d?", "a": "11/714" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from sjsssss?", "a": "2/7" }, { "q": "Calculate prob of picking 3 c and 2 e when five letters picked without replacement from {e: 2, i: 5, c: 3}.", "a": "1/252" }, { "q": "Five letters picked without replacement from {s: 2, a: 11, h: 2, r: 1, l: 4}. Give prob of picking 1 a, 2 h, and 2 l.", "a": "11/2584" }, { "q": "Calculate prob of picking 1 b and 4 m when five letters picked without replacement from {b: 2, m: 12}.", "a": "45/91" }, { "q": "Calculate prob of picking 3 b and 2 c when five letters picked without replacement from {c: 2, b: 3, a: 11}.", "a": "1/4368" }, { "q": "Five letters picked without replacement from uuuuuuu. Give prob of picking 5 u.", "a": "1" }, { "q": "Five letters picked without replacement from {o: 1, v: 10, e: 1, h: 4}. What is prob of picking 1 o, 1 e, and 3 v?", "a": "5/182" }, { "q": "What is prob of picking 2 s and 3 w when five letters picked without replacement from seswsewwweeess?", "a": "20/1001" }, { "q": "Five letters picked without replacement from {n: 4, a: 1, g: 2, j: 4, c: 1, u: 2}. Give prob of picking 1 a, 2 g, 1 c, and 1 u.", "a": "1/1001" }, { "q": "Calculate prob of picking 2 f and 3 m when five letters picked without replacement from {f: 2, m: 5, g: 6}.", "a": "10/1287" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from {n: 1, y: 12}?", "a": "8/13" }, { "q": "Calculate prob of picking 3 h, 1 l, and 1 p when five letters picked without replacement from {p: 1, l: 4, t: 1, y: 1, h: 3}.", "a": "1/63" }, { "q": "Five letters picked without replacement from bkqkiubkkqkivkquivb. What is prob of picking 1 u, 1 k, 1 v, and 2 i?", "a": "2/323" }, { "q": "Calculate prob of picking 4 b and 1 u when five letters picked without replacement from buubuubbb.", "a": "10/63" }, { "q": "Five letters picked without replacement from ilillsiii. What is prob of picking 3 i and 2 l?", "a": "5/21" }, { "q": "Five letters picked without replacement from otvfvvvjf. What is prob of picking 2 f, 1 v, 1 j, and 1 t?", "a": "2/63" }, { "q": "Five letters picked without replacement from {e: 9, w: 4}. Give prob of picking 1 w and 4 e.", "a": "56/143" }, { "q": "What is prob of picking 2 i and 3 z when five letters picked without replacement from {i: 2, j: 1, a: 3, z: 10}?", "a": "5/182" }, { "q": "Calculate prob of picking 2 k and 3 v when five letters picked without replacement from {v: 5, n: 4, k: 4, d: 4}.", "a": "15/1547" }, { "q": "What is prob of picking 2 j and 3 b when five letters picked without replacement from jbbbjjjjbb?", "a": "25/63" }, { "q": "Five letters picked without replacement from wwwdlwlxlldldlxlwmxw. What is prob of picking 3 w, 1 l, and 1 d?", "a": "35/1292" }, { "q": "What is prob of picking 4 w and 1 l when five letters picked without replacement from {l: 3, w: 10, j: 4}?", "a": "45/442" }, { "q": "Five letters picked without replacement from {a: 4, q: 3, h: 3, z: 1, e: 5, m: 2}. Give prob of picking 1 e, 2 q, and 2 a.", "a": "5/476" }, { "q": "Calculate prob of picking 2 j and 3 q when five letters picked without replacement from qqqqjccjjcqqjcccq.", "a": "15/442" }, { "q": "Calculate prob of picking 1 i, 1 u, 1 z, and 2 x when five letters picked without replacement from iixiiixeexzuixeiziuu.", "a": "6/323" }, { "q": "Five letters picked without replacement from {x: 7, i: 2, q: 6, c: 1}. Give prob of picking 5 x.", "a": "1/208" }, { "q": "Five letters picked without replacement from nahcnaqaaqqcqacann. What is prob of picking 1 c, 1 h, 1 q, and 2 a?", "a": "5/238" }, { "q": "Five letters picked without replacement from {s: 7, t: 1, y: 6, w: 4}. Give prob of picking 1 t, 2 w, and 2 s.", "a": "1/68" }, { "q": "Five letters picked without replacement from {t: 8, x: 3, c: 1, v: 4}. What is prob of picking 5 t?", "a": "1/78" }, { "q": "Five letters picked without replacement from {y: 1, s: 4, d: 1}. What is prob of picking 1 s, 2 y, and 2 d?", "a": "0" }, { "q": "Five letters picked without replacement from ttttqqt. Give prob of picking 1 q and 4 t.", "a": "10/21" }, { "q": "What is prob of picking 1 f, 2 a, and 2 g when five letters picked without replacement from {g: 2, d: 1, f: 7, u: 1, a: 2, x: 1}?", "a": "1/286" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from ovrrvvvvvrv.", "a": "1/22" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from ffpppppfppfppppppppp.", "a": "91/323" }, { "q": "Five letters picked without replacement from zzzzzz. What is prob of picking 5 z?", "a": "1" }, { "q": "What is prob of picking 2 h and 3 f when five letters picked without replacement from ffhffhhhhfhhhhhh?", "a": "275/2184" }, { "q": "Five letters picked without replacement from ouwhjwwhwwhwwwh. What is prob of picking 1 u, 1 w, and 3 h?", "a": "32/3003" }, { "q": "Five letters picked without replacement from {h: 6, t: 10, d: 2}. What is prob of picking 1 t, 2 d, and 2 h?", "a": "25/1428" }, { "q": "Calculate prob of picking 1 i and 4 u when five letters picked without replacement from iacuuiuui.", "a": "1/42" }, { "q": "Five letters picked without replacement from urrrrrrruu. Give prob of picking 5 r.", "a": "1/12" }, { "q": "Five letters picked without replacement from {b: 2, l: 2, p: 3, u: 8}. Give prob of picking 3 u and 2 p.", "a": "8/143" }, { "q": "Calculate prob of picking 2 h, 1 v, and 2 c when five letters picked without replacement from vcgchvcvghvvcg.", "a": "15/1001" }, { "q": "Five letters picked without replacement from ugggggggggggggg. Give prob of picking 1 u and 4 g.", "a": "1/3" }, { "q": "Five letters picked without replacement from {l: 3, d: 4, e: 5, j: 4, n: 2}. Give prob of picking 2 l, 1 n, and 2 d.", "a": "1/238" }, { "q": "Five letters picked without replacement from {h: 1, g: 3, l: 4, a: 1, j: 3}. What is prob of picking 1 a, 1 g, and 3 l?", "a": "1/66" }, { "q": "What is prob of picking 1 h, 1 l, 2 o, and 1 e when five letters picked without replacement from eolhoeezoeeo?", "a": "5/132" }, { "q": "Five letters picked without replacement from ujlluksuuk. What is prob of picking 2 u, 1 l, and 2 k?", "a": "1/21" }, { "q": "Calculate prob of picking 3 e and 2 b when five letters picked without replacement from {r: 4, b: 2, c: 5, p: 3, v: 1, e: 5}.", "a": "5/7752" }, { "q": "Five letters picked without replacement from {u: 6, g: 4}. Give prob of picking 5 u.", "a": "1/42" }, { "q": "Calculate prob of picking 4 t and 1 h when five letters picked without replacement from {h: 3, g: 9, t: 4}.", "a": "1/1456" }, { "q": "Calculate prob of picking 3 p and 2 q when five letters picked without replacement from pqqpppqppqpqpqpqp.", "a": "90/221" }, { "q": "What is prob of picking 3 w and 2 a when five letters picked without replacement from wwawwwawww?", "a": "2/9" }, { "q": "Calculate prob of picking 2 p, 2 t, and 1 h when five letters picked without replacement from tvpvetvttthhvp.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {q: 8, t: 8}. What is prob of picking 5 q?", "a": "1/78" }, { "q": "Calculate prob of picking 2 s, 1 b, 1 c, and 1 p when five letters picked without replacement from bbpbpspbccbppbsps.", "a": "54/1547" }, { "q": "Calculate prob of picking 2 x and 3 s when five letters picked without replacement from xsxxxsxxxxxsxxxx.", "a": "1/56" }, { "q": "Calculate prob of picking 3 o and 2 d when five letters picked without replacement from {l: 3, o: 10, d: 4}.", "a": "180/1547" }, { "q": "Calculate prob of picking 1 j, 2 t, 1 a, and 1 o when five letters picked without replacement from ojtftmatom.", "a": "1/42" }, { "q": "Five letters picked without replacement from {w: 4, t: 2}. What is prob of picking 3 w and 2 t?", "a": "2/3" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from rttttttttttrtrrtr.", "a": "1/6188" }, { "q": "Five letters picked without replacement from {q: 4, m: 6, r: 4, k: 2, l: 1, s: 3}. Give prob of picking 1 l, 1 s, 1 m, 1 r, and 1 k.", "a": "3/323" }, { "q": "Calculate prob of picking 2 y, 2 x, and 1 c when five letters picked without replacement from xytrryrlxrcrr.", "a": "1/1287" }, { "q": "What is prob of picking 3 s and 2 a when five letters picked without replacement from asxaaaasaaasaaas?", "a": "55/1092" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from {k: 5, v: 3}?", "a": "1/56" }, { "q": "Calculate prob of picking 3 s and 2 o when five letters picked without replacement from {s: 3, o: 2, e: 11, d: 3}.", "a": "1/11628" }, { "q": "What is prob of picking 1 i, 1 r, 1 u, and 2 n when five letters picked without replacement from niiiulkillrkn?", "a": "4/1287" }, { "q": "What is prob of picking 1 i, 3 g, and 1 b when five letters picked without replacement from bibbbibgbgigiibg?", "a": "5/156" }, { "q": "Five letters picked without replacement from hhhqqzqhhqzzh. Give prob of picking 3 q and 2 h.", "a": "20/429" }, { "q": "Calculate prob of picking 1 m, 1 r, 2 j, and 1 d when five letters picked without replacement from ruujmjjnjmmjd.", "a": "10/429" }, { "q": "Five letters picked without replacement from {q: 3, k: 7}. What is prob of picking 4 k and 1 q?", "a": "5/12" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {j: 7, o: 2}.", "a": "1/6" }, { "q": "What is prob of picking 1 k and 4 x when five letters picked without replacement from {k: 10, p: 1, x: 8}?", "a": "175/2907" }, { "q": "Five letters picked without replacement from {i: 7, z: 4}. What is prob of picking 2 z and 3 i?", "a": "5/11" }, { "q": "Five letters picked without replacement from {o: 12, r: 1}. Give prob of picking 5 o.", "a": "8/13" }, { "q": "Five letters picked without replacement from {r: 6, v: 1, j: 1, n: 1, q: 2}. What is prob of picking 2 j, 2 n, and 1 v?", "a": "0" }, { "q": "Five letters picked without replacement from kcuuuukieuuieeuei. Give prob of picking 1 u, 2 i, and 2 e.", "a": "9/442" }, { "q": "Five letters picked without replacement from {q: 3, v: 1, x: 3}. Give prob of picking 2 q, 1 v, and 2 x.", "a": "3/7" }, { "q": "Calculate prob of picking 1 q, 3 v, and 1 o when five letters picked without replacement from {v: 3, o: 6, q: 7, m: 1}.", "a": "3/442" }, { "q": "Five letters picked without replacement from qttqtqqqqqxjqtqtqq. Give prob of picking 1 j, 1 x, and 3 t.", "a": "5/4284" }, { "q": "Five letters picked without replacement from {c: 5, y: 6, s: 2, w: 6}. What is prob of picking 4 w and 1 y?", "a": "5/646" }, { "q": "Five letters picked without replacement from {k: 4, b: 4, z: 3, f: 1, d: 4, e: 1}. What is prob of picking 1 b, 3 d, and 1 e?", "a": "4/1547" }, { "q": "What is prob of picking 3 q and 2 t when five letters picked without replacement from qkqktrrqqrt?", "a": "2/231" }, { "q": "What is prob of picking 2 b and 3 z when five letters picked without replacement from {b: 7, z: 10}?", "a": "90/221" }, { "q": "What is prob of picking 4 h and 1 t when five letters picked without replacement from {h: 10, t: 3}?", "a": "70/143" }, { "q": "Five letters picked without replacement from {h: 7, v: 12}. Give prob of picking 5 v.", "a": "22/323" }, { "q": "Five letters picked without replacement from {v: 15, y: 4}. Give prob of picking 1 y and 4 v.", "a": "455/969" }, { "q": "Calculate prob of picking 3 k and 2 j when five letters picked without replacement from {j: 3, k: 6}.", "a": "10/21" }, { "q": "Calculate prob of picking 1 e and 4 f when five letters picked without replacement from {e: 3, z: 1, f: 5}.", "a": "5/42" }, { "q": "What is prob of picking 1 i, 1 q, 1 o, and 2 j when five letters picked without replacement from okzikzoqojjkqkzzooo?", "a": "1/969" }, { "q": "What is prob of picking 3 d, 1 t, and 1 z when five letters picked without replacement from bqkqttbdttqddtdbbtzb?", "a": "1/646" }, { "q": "Five letters picked without replacement from mkknlnmlllmml. Give prob of picking 4 m and 1 n.", "a": "2/1287" }, { "q": "Five letters picked without replacement from {t: 3, h: 5, o: 1}. What is prob of picking 3 h and 2 t?", "a": "5/21" }, { "q": "Five letters picked without replacement from eddiqiqi. Give prob of picking 1 d, 3 i, and 1 q.", "a": "1/14" }, { "q": "Calculate prob of picking 1 k, 2 p, 1 w, and 1 j when five letters picked without replacement from pwpjkjppp.", "a": "10/63" }, { "q": "Five letters picked without replacement from {i: 3, y: 1, z: 3, s: 1, j: 1, u: 1}. What is prob of picking 1 i, 3 z, and 1 s?", "a": "1/84" }, { "q": "Five letters picked without replacement from {o: 1, d: 7, c: 1, b: 1, r: 3}. What is prob of picking 1 b and 4 d?", "a": "35/1287" }, { "q": "What is prob of picking 4 p and 1 u when five letters picked without replacement from {g: 7, u: 1, p: 7}?", "a": "5/429" }, { "q": "Five letters picked without replacement from {v: 1, r: 2, g: 1, p: 2, l: 1}. Give prob of picking 1 v, 2 p, 1 g, and 1 l.", "a": "1/21" }, { "q": "What is prob of picking 1 o and 4 w when five letters picked without replacement from {w: 1, o: 1, m: 1, y: 1, i: 1, g: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from hhhhfzzhfhhfjhhhhzzj. Give prob of picking 1 j and 4 h.", "a": "55/1292" }, { "q": "Five letters picked without replacement from {f: 1, p: 4, b: 6, x: 2, y: 2, q: 4}. Give prob of picking 2 q, 2 x, and 1 p.", "a": "2/969" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from {u: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from {a: 4, o: 7, f: 3, l: 3}. Give prob of picking 1 l, 1 f, 1 a, and 2 o.", "a": "27/221" }, { "q": "Five letters picked without replacement from igcnigccngdcnccggc. Give prob of picking 1 i, 2 n, 1 c, and 1 d.", "a": "1/204" }, { "q": "What is prob of picking 1 b, 1 d, and 3 g when five letters picked without replacement from gbgbqbbbgdbgbdgbbgg?", "a": "35/646" }, { "q": "Five letters picked without replacement from {h: 1, v: 15, l: 2}. What is prob of picking 5 v?", "a": "143/408" }, { "q": "Five letters picked without replacement from {j: 3, b: 14}. Give prob of picking 3 b and 2 j.", "a": "3/17" }, { "q": "Five letters picked without replacement from {t: 4, j: 2, m: 9, q: 4}. What is prob of picking 1 t, 1 j, 2 m, and 1 q?", "a": "32/323" }, { "q": "Calculate prob of picking 3 u and 2 w when five letters picked without replacement from wwwwuwuuuuuuuuw.", "a": "60/143" }, { "q": "What is prob of picking 3 u and 2 o when five letters picked without replacement from ubumubebubmbuomuobl?", "a": "5/2907" }, { "q": "Five letters picked without replacement from eszzzzzzcei. Give prob of picking 3 z, 1 e, and 1 s.", "a": "20/231" }, { "q": "What is prob of picking 3 k and 2 w when five letters picked without replacement from wwkwwwwkwwwwwkww?", "a": "1/56" }, { "q": "What is prob of picking 1 k and 4 d when five letters picked without replacement from {l: 2, b: 4, u: 3, d: 2, v: 2, k: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from iuiiiiiiiiiu. Give prob of picking 1 u and 4 i.", "a": "35/66" }, { "q": "Calculate prob of picking 3 e and 2 g when five letters picked without replacement from {g: 9, e: 7, f: 1, t: 1}.", "a": "5/34" }, { "q": "Five letters picked without replacement from {z: 6, r: 2}. Give prob of picking 5 z.", "a": "3/28" }, { "q": "Five letters picked without replacement from {m: 1, p: 1, q: 8, e: 1, l: 4}. What is prob of picking 4 l and 1 e?", "a": "1/3003" }, { "q": "Five letters picked without replacement from zueggxexunznzun. What is prob of picking 2 z, 1 u, 1 n, and 1 x?", "a": "18/1001" }, { "q": "What is prob of picking 2 c, 2 y, and 1 u when five letters picked without replacement from ocwcwoyucoccy?", "a": "10/1287" }, { "q": "Five letters picked without replacement from bzgzbhbhbzggzbgzzhz. What is prob of picking 1 b, 2 g, and 2 h?", "a": "5/646" }, { "q": "Five letters picked without replacement from eoowtoeeeeatetet. What is prob of picking 2 t and 3 e?", "a": "5/104" }, { "q": "Calculate prob of picking 5 v when five letters picked without replacement from {i: 1, v: 8}.", "a": "4/9" }, { "q": "Calculate prob of picking 5 t when five letters picked without replacement from ttottott.", "a": "3/28" }, { "q": "Calculate prob of picking 1 b and 4 r when five letters picked without replacement from {r: 5, b: 12}.", "a": "15/1547" }, { "q": "Five letters picked without replacement from {v: 4, k: 6, l: 2, u: 5, h: 1}. Give prob of picking 2 u, 1 l, 1 v, and 1 k.", "a": "20/357" }, { "q": "Five letters picked without replacement from {h: 3, o: 2, q: 3, i: 8}. What is prob of picking 4 i and 1 o?", "a": "5/156" }, { "q": "Calculate prob of picking 1 h and 4 z when five letters picked without replacement from {h: 5, z: 6, j: 2}.", "a": "25/429" }, { "q": "Five letters picked without replacement from {n: 2, d: 5, v: 1, h: 1, i: 8, g: 1}. Give prob of picking 1 g, 3 i, and 1 n.", "a": "2/153" }, { "q": "Five letters picked without replacement from mmnnmmmmmmmmnmmenmmm. Give prob of picking 5 m.", "a": "1001/5168" }, { "q": "What is prob of picking 2 w and 3 m when five letters picked without replacement from {m: 6, w: 2, y: 1}?", "a": "10/63" }, { "q": "Calculate prob of picking 1 l, 1 b, 1 t, and 2 k when five letters picked without replacement from ayyylatkykyykbyaalb.", "a": "1/969" }, { "q": "Calculate prob of picking 2 f and 3 k when five letters picked without replacement from {f: 7, k: 6}.", "a": "140/429" }, { "q": "Five letters picked without replacement from {x: 6, b: 12}. What is prob of picking 2 x and 3 b?", "a": "275/714" }, { "q": "Calculate prob of picking 1 d, 2 p, and 2 w when five letters picked without replacement from {d: 3, w: 5, p: 6}.", "a": "225/1001" }, { "q": "Five letters picked without replacement from ftooootftfotofffo. Give prob of picking 1 o, 1 t, and 3 f.", "a": "20/221" }, { "q": "Five letters picked without replacement from {x: 2, a: 4, s: 3, p: 1, t: 3, i: 4}. What is prob of picking 2 x, 1 i, and 2 s?", "a": "3/1547" }, { "q": "Five letters picked without replacement from oooobowoowbwoowowov. Give prob of picking 5 w.", "a": "1/11628" }, { "q": "Five letters picked without replacement from {e: 1, t: 5, w: 6, k: 4, i: 1}. Give prob of picking 1 k, 3 w, and 1 e.", "a": "20/1547" }, { "q": "Calculate prob of picking 3 o and 2 g when five letters picked without replacement from poooopppppggoppoo.", "a": "5/884" }, { "q": "Five letters picked without replacement from piipkipkiiiviivpvi. Give prob of picking 2 k, 2 v, and 1 p.", "a": "1/714" }, { "q": "What is prob of picking 1 c, 3 d, and 1 x when five letters picked without replacement from {d: 4, t: 7, q: 1, c: 1, p: 1, x: 4}?", "a": "2/1071" }, { "q": "What is prob of picking 1 z, 2 g, and 2 y when five letters picked without replacement from {z: 1, g: 8, y: 3}?", "a": "7/66" }, { "q": "Five letters picked without replacement from {q: 3, w: 6}. What is prob of picking 2 q and 3 w?", "a": "10/21" }, { "q": "What is prob of picking 2 y, 1 c, and 2 s when five letters picked without replacement from {s: 2, y: 5, c: 2}?", "a": "10/63" }, { "q": "Five letters picked without replacement from {w: 9, f: 7}. Give prob of picking 2 w and 3 f.", "a": "15/52" }, { "q": "What is prob of picking 3 m, 1 s, and 1 u when five letters picked without replacement from umasuuumsassmaamsusa?", "a": "5/646" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from igggogggiogg.", "a": "7/99" }, { "q": "Five letters picked without replacement from {c: 1, v: 5, j: 4, h: 4}. What is prob of picking 1 j, 2 c, and 2 h?", "a": "0" }, { "q": "Five letters picked without replacement from {z: 2, m: 2, t: 1, i: 2}. Give prob of picking 2 i, 2 z, and 1 t.", "a": "1/21" }, { "q": "Calculate prob of picking 1 x, 3 u, and 1 c when five letters picked without replacement from rucurrufxvuurcv.", "a": "20/3003" }, { "q": "Five letters picked without replacement from {r: 9, b: 1, k: 5, z: 3}. What is prob of picking 5 k?", "a": "1/8568" }, { "q": "Five letters picked without replacement from qqqccccqcqqcqqqqcqqq. What is prob of picking 5 q?", "a": "429/5168" }, { "q": "What is prob of picking 3 v and 2 f when five letters picked without replacement from {l: 6, f: 3, v: 9}?", "a": "1/34" }, { "q": "Five letters picked without replacement from {d: 9, n: 8}. Give prob of picking 1 n and 4 d.", "a": "36/221" }, { "q": "What is prob of picking 1 p, 2 n, and 2 i when five letters picked without replacement from npibiiinnbbiibnnn?", "a": "225/6188" }, { "q": "Five letters picked without replacement from {q: 12, w: 8}. Give prob of picking 1 q and 4 w.", "a": "35/646" }, { "q": "Calculate prob of picking 1 y and 4 f when five letters picked without replacement from yyffyyyfyyffyfyfyff.", "a": "35/323" }, { "q": "What is prob of picking 3 f and 2 d when five letters picked without replacement from {f: 10, d: 2}?", "a": "5/33" }, { "q": "What is prob of picking 1 y and 4 l when five letters picked without replacement from ylllyyllllyyyyyyllyy?", "a": "231/2584" }, { "q": "Calculate prob of picking 4 d and 1 m when five letters picked without replacement from mddddmmmd.", "a": "10/63" }, { "q": "Calculate prob of picking 2 g and 3 b when five letters picked without replacement from bgegegbggbbbpfbefgpg.", "a": "35/1292" }, { "q": "Five letters picked without replacement from uuunuuuu. Give prob of picking 5 u.", "a": "3/8" }, { "q": "What is prob of picking 1 j and 4 t when five letters picked without replacement from mjmmtmtmmmtmm?", "a": "0" }, { "q": "Calculate prob of picking 4 v and 1 m when five letters picked without replacement from {x: 1, v: 1, m: 3, i: 3, c: 4}.", "a": "0" }, { "q": "Five letters picked without replacement from {v: 6, z: 6, y: 3}. What is prob of picking 5 v?", "a": "2/1001" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from enseesrssrreee?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {f: 6, h: 1, b: 4, p: 2}. Give prob of picking 4 f and 1 p.", "a": "10/429" }, { "q": "Calculate prob of picking 1 i and 4 p when five letters picked without replacement from ppmpmmpmpmipmppss.", "a": "5/442" }, { "q": "Five letters picked without replacement from edfdffeddfdee. Give prob of picking 5 d.", "a": "1/1287" }, { "q": "Five letters picked without replacement from {l: 5, u: 3, r: 7}. What is prob of picking 3 r, 1 u, and 1 l?", "a": "25/143" }, { "q": "Calculate prob of picking 1 g, 2 q, and 2 t when five letters picked without replacement from qghgaatggtgaqga.", "a": "2/1001" }, { "q": "What is prob of picking 1 q, 3 x, and 1 p when five letters picked without replacement from zpqpxxxzzzxxpqzq?", "a": "15/728" }, { "q": "Calculate prob of picking 1 t, 3 p, and 1 e when five letters picked without replacement from {e: 2, p: 7, j: 3, h: 2, t: 3}.", "a": "15/442" }, { "q": "What is prob of picking 4 g and 1 f when five letters picked without replacement from ggsfgffgfgggggggg?", "a": "495/1547" }, { "q": "Calculate prob of picking 1 p and 4 q when five letters picked without replacement from {q: 4, p: 2}.", "a": "1/3" }, { "q": "What is prob of picking 1 u, 1 i, and 3 x when five letters picked without replacement from {i: 1, x: 4, r: 1, z: 2, u: 1, e: 1}?", "a": "1/63" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {c: 6, t: 2, r: 5}.", "a": "1/1287" }, { "q": "Five letters picked without replacement from {s: 4, u: 13}. Give prob of picking 1 s and 4 u.", "a": "55/119" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from {y: 5, c: 15}.", "a": "1001/5168" }, { "q": "What is prob of picking 4 v and 1 x when five letters picked without replacement from vvvxxxvxv?", "a": "10/63" }, { "q": "Five letters picked without replacement from tstnohhhohhtkh. What is prob of picking 3 t, 1 n, and 1 o?", "a": "1/1001" }, { "q": "What is prob of picking 1 v, 1 w, and 3 k when five letters picked without replacement from {v: 1, k: 3, q: 4, w: 1, j: 1, a: 2}?", "a": "1/792" }, { "q": "Five letters picked without replacement from innnnnniinnninn. Give prob of picking 2 n and 3 i.", "a": "20/273" }, { "q": "Five letters picked without replacement from {g: 2, q: 13}. Give prob of picking 3 q and 2 g.", "a": "2/21" }, { "q": "What is prob of picking 3 e and 2 t when five letters picked without replacement from etttettttteteteettt?", "a": "130/969" }, { "q": "What is prob of picking 4 f and 1 i when five letters picked without replacement from fffffffffiffffffif?", "a": "65/153" }, { "q": "Calculate prob of picking 1 a, 2 f, and 2 h when five letters picked without replacement from {h: 3, a: 5, f: 3}.", "a": "15/154" }, { "q": "Five letters picked without replacement from wywwxxwtyoaowwaa. Give prob of picking 1 x, 1 t, 2 w, and 1 a.", "a": "15/728" }, { "q": "Five letters picked without replacement from {j: 4, p: 1, q: 4, n: 2, t: 1}. Give prob of picking 1 j and 4 q.", "a": "1/198" }, { "q": "What is prob of picking 3 o, 1 t, and 1 h when five letters picked without replacement from {o: 5, h: 5, t: 5, n: 1}?", "a": "125/2184" }, { "q": "Calculate prob of picking 4 p and 1 t when five letters picked without replacement from nhntdppnpp.", "a": "1/252" }, { "q": "Five letters picked without replacement from dnnyndndndydnnynnn. Give prob of picking 3 d, 1 n, and 1 y.", "a": "25/714" }, { "q": "Five letters picked without replacement from {a: 15, j: 5}. Give prob of picking 5 a.", "a": "1001/5168" }, { "q": "Five letters picked without replacement from {s: 10, l: 1, b: 1, e: 6}. What is prob of picking 1 b, 1 l, 1 e, and 2 s?", "a": "15/476" }, { "q": "Calculate prob of picking 3 g and 2 y when five letters picked without replacement from kykygyyyykpygpgny.", "a": "1/221" }, { "q": "Five letters picked without replacement from {r: 3, j: 3, y: 1, u: 11}. Give prob of picking 1 r, 3 u, and 1 y.", "a": "55/952" }, { "q": "Calculate prob of picking 1 v, 1 a, and 3 d when five letters picked without replacement from qadvddzdddqadddad.", "a": "90/1547" }, { "q": "What is prob of picking 2 u, 2 i, and 1 p when five letters picked without replacement from iiiiguuupuniiggiip?", "a": "2/51" }, { "q": "Five letters picked without replacement from ixiiiexijjiijxx. Give prob of picking 1 j, 3 i, and 1 x.", "a": "20/143" }, { "q": "What is prob of picking 1 h and 4 l when five letters picked without replacement from hllfll?", "a": "1/6" }, { "q": "Five letters picked without replacement from tariieaeki. Give prob of picking 1 t, 2 i, 1 a, and 1 r.", "a": "1/42" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from omommmmmmommomm.", "a": "2/13" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from plppppllllpldlppp.", "a": "9/442" }, { "q": "Five letters picked without replacement from pvfvqmffqq. What is prob of picking 2 v, 1 f, 1 m, and 1 p?", "a": "1/84" }, { "q": "Five letters picked without replacement from sssgss. Give prob of picking 1 g and 4 s.", "a": "5/6" }, { "q": "Five letters picked without replacement from {d: 1, e: 5, f: 3, i: 2, v: 1}. What is prob of picking 1 d, 1 i, and 3 f?", "a": "1/396" }, { "q": "Five letters picked without replacement from {s: 3, m: 11}. What is prob of picking 2 m and 3 s?", "a": "5/182" }, { "q": "Five letters picked without replacement from cccczzczzcczccz. What is prob of picking 1 z and 4 c?", "a": "36/143" }, { "q": "Five letters picked without replacement from jxgjgjxcvvjx. What is prob of picking 1 v, 1 x, 1 c, and 2 g?", "a": "1/132" }, { "q": "Five letters picked without replacement from {p: 16, s: 4}. Give prob of picking 3 p and 2 s.", "a": "70/323" }, { "q": "Five letters picked without replacement from llllvvvsjlllvvlllvt. What is prob of picking 1 t and 4 l?", "a": "35/1938" }, { "q": "Calculate prob of picking 5 o when five letters picked without replacement from oooohhohohhh.", "a": "1/132" }, { "q": "Five letters picked without replacement from ddiijlrdj. What is prob of picking 2 i and 3 d?", "a": "1/126" }, { "q": "Five letters picked without replacement from oeycly. Give prob of picking 2 y, 1 o, 1 c, and 1 l.", "a": "1/6" }, { "q": "Five letters picked without replacement from wjjowuvwouov. What is prob of picking 1 v and 4 o?", "a": "0" }, { "q": "Five letters picked without replacement from sgfnngsnsnggsnfjs. Give prob of picking 3 n, 1 s, and 1 f.", "a": "25/1547" }, { "q": "Calculate prob of picking 1 a and 4 d when five letters picked without replacement from aaaddaaddadddadaaad.", "a": "35/323" }, { "q": "Five letters picked without replacement from rfhrrhrrrffhfr. Give prob of picking 3 h and 2 r.", "a": "3/286" }, { "q": "Calculate prob of picking 1 h, 1 e, 1 u, and 2 g when five letters picked without replacement from hffhgeuefefehghhhh.", "a": "1/306" }, { "q": "Five letters picked without replacement from {h: 2, q: 1, c: 6}. What is prob of picking 3 c and 2 h?", "a": "10/63" }, { "q": "Five letters picked without replacement from {s: 4, r: 3, f: 7}. Give prob of picking 4 f and 1 s.", "a": "10/143" }, { "q": "Five letters picked without replacement from {g: 4, m: 4, v: 2, e: 3}. Give prob of picking 2 g, 1 v, and 2 e.", "a": "4/143" }, { "q": "Five letters picked without replacement from {q: 5, y: 3, z: 2, k: 1, e: 3}. What is prob of picking 2 y and 3 e?", "a": "3/2002" }, { "q": "Five letters picked without replacement from {k: 4, a: 3}. What is prob of picking 3 a and 2 k?", "a": "2/7" }, { "q": "Five letters picked without replacement from npnggpgpngngngp. What is prob of picking 5 n?", "a": "1/3003" }, { "q": "What is prob of picking 1 e and 4 m when five letters picked without replacement from {m: 4, e: 8}?", "a": "1/99" }, { "q": "Five letters picked without replacement from foofofooff. Give prob of picking 1 o and 4 f.", "a": "25/252" }, { "q": "Five letters picked without replacement from {g: 4, o: 8, m: 2, r: 2}. What is prob of picking 2 m, 2 g, and 1 r?", "a": "1/364" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {j: 6, d: 1}?", "a": "2/7" }, { "q": "Calculate prob of picking 2 m, 1 q, and 2 p when five letters picked without replacement from ppqmmm.", "a": "1/2" }, { "q": "Five letters picked without replacement from {o: 2, z: 9, t: 5, q: 4}. Give prob of picking 1 t, 1 o, and 3 z.", "a": "35/646" }, { "q": "Calculate prob of picking 1 h, 3 u, and 1 c when five letters picked without replacement from {u: 7, e: 1, h: 4, c: 1, m: 4, x: 1}.", "a": "5/306" }, { "q": "What is prob of picking 4 t and 1 h when five letters picked without replacement from thatayttttahjajv?", "a": "5/728" }, { "q": "Five letters picked without replacement from {g: 1, q: 5, x: 2, y: 10}. Give prob of picking 1 x and 4 y.", "a": "5/102" }, { "q": "Calculate prob of picking 1 w, 1 o, 2 t, and 1 u when five letters picked without replacement from toowottttttuhht.", "a": "4/143" }, { "q": "Five letters picked without replacement from ihhiiiihhihiih. Give prob of picking 5 i.", "a": "4/143" }, { "q": "Five letters picked without replacement from ssnnnnnnnsssnnn. Give prob of picking 4 n and 1 s.", "a": "50/143" }, { "q": "What is prob of picking 1 c and 4 l when five letters picked without replacement from {c: 4, l: 4}?", "a": "1/14" }, { "q": "Calculate prob of picking 2 w and 3 s when five letters picked without replacement from sswswwvswt.", "a": "2/21" }, { "q": "What is prob of picking 3 w, 1 m, and 1 t when five letters picked without replacement from {w: 3, t: 7, b: 2, m: 4}?", "a": "1/156" }, { "q": "Calculate prob of picking 1 j and 4 e when five letters picked without replacement from {j: 8, e: 7}.", "a": "40/429" }, { "q": "Calculate prob of picking 3 h, 1 j, and 1 z when five letters picked without replacement from {u: 2, z: 2, g: 1, h: 3, j: 2}.", "a": "1/63" }, { "q": "Calculate prob of picking 2 j and 3 s when five letters picked without replacement from {j: 9, s: 10}.", "a": "120/323" }, { "q": "What is prob of picking 1 t, 1 s, and 3 i when five letters picked without replacement from iititiitskiiissi?", "a": "9/52" }, { "q": "What is prob of picking 2 f, 2 p, and 1 w when five letters picked without replacement from zfjwpjzzfpjwjfzw?", "a": "3/1456" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from mmmmm.", "a": "1" }, { "q": "What is prob of picking 3 f and 2 t when five letters picked without replacement from {a: 8, t: 2, f: 5, i: 4, c: 1}?", "a": "5/7752" }, { "q": "Five letters picked without replacement from bkbbkkbbbbbbk. Give prob of picking 5 b.", "a": "14/143" }, { "q": "Five letters picked without replacement from xtkltxtxxklkklt. Give prob of picking 1 k, 1 x, and 3 l.", "a": "16/3003" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from vvvvv?", "a": "1" }, { "q": "Calculate prob of picking 2 w and 3 o when five letters picked without replacement from {o: 7, w: 10}.", "a": "225/884" }, { "q": "Calculate prob of picking 1 m, 1 q, 2 p, and 1 s when five letters picked without replacement from {p: 3, m: 1, r: 1, q: 6, l: 2, s: 2}.", "a": "12/1001" }, { "q": "Five letters picked without replacement from {f: 5, s: 1, u: 2, i: 3, p: 3, c: 2}. Give prob of picking 2 i, 1 s, and 2 f.", "a": "5/728" }, { "q": "Five letters picked without replacement from {r: 5, w: 7, y: 2, n: 2}. What is prob of picking 1 w, 2 r, 1 y, and 1 n?", "a": "5/78" }, { "q": "Five letters picked without replacement from {t: 3, u: 3, j: 5, v: 3}. What is prob of picking 1 v, 1 u, 2 t, and 1 j?", "a": "135/2002" }, { "q": "Five letters picked without replacement from kkwwwwwkkkwkkkkqwokk. Give prob of picking 1 q and 4 k.", "a": "55/2584" }, { "q": "What is prob of picking 3 y and 2 k when five letters picked without replacement from {k: 7, y: 12}?", "a": "385/969" }, { "q": "Calculate prob of picking 1 j, 1 e, and 3 s when five letters picked without replacement from jjssjsjje.", "a": "5/126" }, { "q": "Five letters picked without replacement from {m: 2, o: 1, n: 8, z: 3, i: 5}. What is prob of picking 3 z and 2 i?", "a": "5/5814" }, { "q": "Five letters picked without replacement from pqvqvqvqvvpvp. Give prob of picking 1 q, 3 v, and 1 p.", "a": "80/429" }, { "q": "Five letters picked without replacement from {n: 2, j: 6, i: 9, m: 3}. What is prob of picking 1 m, 1 j, 2 n, and 1 i?", "a": "27/2584" }, { "q": "Five letters picked without replacement from {c: 3, b: 11, k: 2}. Give prob of picking 3 c and 2 k.", "a": "1/4368" }, { "q": "Five letters picked without replacement from bbbpppbpppbpppbbpp. What is prob of picking 2 p and 3 b?", "a": "275/1224" }, { "q": "Five letters picked without replacement from {x: 17, b: 1}. What is prob of picking 5 x?", "a": "13/18" }, { "q": "What is prob of picking 1 b and 4 j when five letters picked without replacement from {b: 4, g: 1, j: 2}?", "a": "0" }, { "q": "Calculate prob of picking 3 d and 2 j when five letters picked without replacement from {j: 2, d: 11, b: 4}.", "a": "165/6188" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from wfffwwfffw.", "a": "1/42" }, { "q": "Five letters picked without replacement from {k: 6, q: 14}. Give prob of picking 5 q.", "a": "1001/7752" }, { "q": "Five letters picked without replacement from {s: 4, e: 6, l: 4, u: 2, j: 3, m: 1}. What is prob of picking 2 l, 1 s, 1 j, and 1 u?", "a": "3/323" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {r: 7, o: 6}.", "a": "7/429" }, { "q": "Five letters picked without replacement from {a: 3, r: 2, c: 1, m: 11}. Give prob of picking 1 c and 4 m.", "a": "165/3094" }, { "q": "What is prob of picking 1 x and 4 t when five letters picked without replacement from xttxttttxt?", "a": "5/12" }, { "q": "Calculate prob of picking 2 d, 2 z, and 1 q when five letters picked without replacement from aqzqdqqzqqanjqjdajq.", "a": "2/2907" }, { "q": "Calculate prob of picking 3 d, 1 e, and 1 z when five letters picked without replacement from fgdedydfyfz.", "a": "1/462" }, { "q": "Five letters picked without replacement from {m: 4, j: 7, c: 7, i: 1}. Give prob of picking 3 j, 1 i, and 1 c.", "a": "245/11628" }, { "q": "What is prob of picking 2 m, 1 j, and 2 g when five letters picked without replacement from mggggjjlxjgjjmj?", "a": "20/1001" }, { "q": "What is prob of picking 4 m and 1 d when five letters picked without replacement from mddmmmmmddd?", "a": "25/154" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from hhhhxhhhh.", "a": "4/9" }, { "q": "Five letters picked without replacement from mmmmmmmmmm. Give prob of picking 5 m.", "a": "1" }, { "q": "Five letters picked without replacement from aaxxaxauiia. Give prob of picking 1 i, 3 x, and 1 u.", "a": "1/231" }, { "q": "Calculate prob of picking 2 y and 3 w when five letters picked without replacement from zwyzwywzwzwwwzwzwzw.", "a": "10/969" }, { "q": "Calculate prob of picking 1 l and 4 k when five letters picked without replacement from lklmmmkmlmmxklmk.", "a": "1/1092" }, { "q": "Five letters picked without replacement from {b: 2, h: 11}. Give prob of picking 4 h and 1 b.", "a": "20/39" }, { "q": "Five letters picked without replacement from inrqqtqrrqnninnrqqn. What is prob of picking 1 r, 1 n, 2 q, and 1 t?", "a": "10/323" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {f: 1, v: 6}?", "a": "2/7" }, { "q": "Five letters picked without replacement from ixixiiikiixki. What is prob of picking 3 i and 2 x?", "a": "56/429" }, { "q": "Five letters picked without replacement from rwrrwrrrwwrrrrwrrrr. What is prob of picking 3 r and 2 w?", "a": "910/2907" }, { "q": "What is prob of picking 3 l and 2 a when five letters picked without replacement from laaalaaaal?", "a": "1/12" }, { "q": "What is prob of picking 3 e and 2 o when five letters picked without replacement from {e: 11, o: 3}?", "a": "45/182" }, { "q": "Five letters picked without replacement from {o: 3, x: 6, n: 6, z: 1}. Give prob of picking 2 o, 1 z, and 2 n.", "a": "15/1456" }, { "q": "What is prob of picking 1 p, 3 n, and 1 x when five letters picked without replacement from qnxxlxnlnxxpnjln?", "a": "25/2184" }, { "q": "Calculate prob of picking 1 y, 1 z, 1 p, 1 n, and 1 h when five letters picked without replacement from rzhzzzzprrnyzzz.", "a": "8/3003" }, { "q": "Five letters picked without replacement from {l: 1, p: 5, j: 2, o: 4, x: 4}. Give prob of picking 1 p, 1 l, and 3 x.", "a": "5/1092" }, { "q": "Five letters picked without replacement from vqvvqvvvvvvvvqvvv. Give prob of picking 3 v and 2 q.", "a": "3/17" }, { "q": "Five letters picked without replacement from {l: 4, f: 5, a: 1, o: 8}. Give prob of picking 3 f, 1 a, and 1 l.", "a": "5/1071" }, { "q": "What is prob of picking 2 o, 2 f, and 1 z when five letters picked without replacement from {z: 1, a: 3, i: 6, m: 3, o: 2, f: 3}?", "a": "1/2856" }, { "q": "Calculate prob of picking 1 b, 2 y, and 2 q when five letters picked without replacement from {b: 1, p: 3, i: 2, a: 2, y: 9, q: 2}.", "a": "1/323" }, { "q": "Five letters picked without replacement from {u: 4, a: 4}. Give prob of picking 2 a and 3 u.", "a": "3/7" }, { "q": "Five letters picked without replacement from oioiiiioiioiiii. Give prob of picking 5 i.", "a": "2/13" }, { "q": "What is prob of picking 2 z and 3 s when five letters picked without replacement from {z: 3, s: 13}?", "a": "11/56" }, { "q": "Five letters picked without replacement from rrhaharrharrh. Give prob of picking 3 r and 2 a.", "a": "20/429" }, { "q": "What is prob of picking 1 z, 2 e, 1 n, and 1 c when five letters picked without replacement from wcececceznwcccc?", "a": "8/1001" }, { "q": "Calculate prob of picking 3 y, 1 d, and 1 s when five letters picked without replacement from yttkttkykysdyyyky.", "a": "5/884" }, { "q": "Calculate prob of picking 1 b, 1 c, and 3 e when five letters picked without replacement from {o: 4, e: 6, b: 1, s: 2, c: 1}.", "a": "10/1001" }, { "q": "What is prob of picking 1 x, 2 t, and 2 j when five letters picked without replacement from {e: 3, z: 3, o: 1, x: 2, j: 2, t: 3}?", "a": "3/1001" }, { "q": "What is prob of picking 4 m and 1 b when five letters picked without replacement from lmmmmmmmbmmmmmlmmmm?", "a": "455/2907" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from ddddddddd.", "a": "1" }, { "q": "Five letters picked without replacement from {d: 9, n: 7, v: 3}. What is prob of picking 2 v and 3 d?", "a": "7/323" }, { "q": "Five letters picked without replacement from rrrrrccc. Give prob of picking 5 r.", "a": "1/56" }, { "q": "What is prob of picking 3 v, 1 y, and 1 e when five letters picked without replacement from {v: 4, y: 4, e: 3, b: 1, l: 2, q: 3}?", "a": "12/1547" }, { "q": "What is prob of picking 1 v, 1 a, 1 p, and 2 n when five letters picked without replacement from anvpanppan?", "a": "3/28" }, { "q": "What is prob of picking 1 r and 4 v when five letters picked without replacement from yiivvvvryvvrryrrryrv?", "a": "245/15504" }, { "q": "Calculate prob of picking 4 f and 1 x when five letters picked without replacement from xxfvfxxfffxxxxfx.", "a": "45/1456" }, { "q": "What is prob of picking 2 x and 3 l when five letters picked without replacement from xllxllllllxllxllxl?", "a": "715/2142" }, { "q": "Calculate prob of picking 3 x, 1 g, and 1 n when five letters picked without replacement from {x: 5, n: 3, g: 12}.", "a": "15/646" }, { "q": "What is prob of picking 4 t and 1 x when five letters picked without replacement from ttctnnxgnsncctn?", "a": "1/3003" }, { "q": "What is prob of picking 2 f and 3 y when five letters picked without replacement from {f: 5, y: 11}?", "a": "275/728" }, { "q": "Five letters picked without replacement from {l: 5, z: 6}. Give prob of picking 4 l and 1 z.", "a": "5/77" }, { "q": "Five letters picked without replacement from cuucdcccxudc. What is prob of picking 1 u, 2 c, 1 d, and 1 x?", "a": "5/44" }, { "q": "Five letters picked without replacement from iyiinyinyiyniyinvyn. Give prob of picking 3 i, 1 n, and 1 y.", "a": "175/1938" }, { "q": "Calculate prob of picking 2 x, 1 m, and 2 t when five letters picked without replacement from {t: 9, m: 3, x: 2}.", "a": "54/1001" }, { "q": "Five letters picked without replacement from ssaassaszassaasaa. Give prob of picking 5 s.", "a": "2/221" }, { "q": "Five letters picked without replacement from {y: 8, d: 1, w: 7}. Give prob of picking 5 w.", "a": "1/208" }, { "q": "What is prob of picking 1 l, 2 y, 1 t, and 1 a when five letters picked without replacement from {i: 2, l: 3, a: 4, t: 5, y: 6}?", "a": "75/1292" }, { "q": "Five letters picked without replacement from hyayyhyaayyhyyyyayy. Give prob of picking 2 a, 2 h, and 1 y.", "a": "6/323" }, { "q": "Five letters picked without replacement from {v: 9, p: 10}. What is prob of picking 3 p and 2 v?", "a": "120/323" }, { "q": "Five letters picked without replacement from zzerervrwe. Give prob of picking 2 e, 1 w, and 2 z.", "a": "1/84" }, { "q": "Calculate prob of picking 1 r and 4 m when five letters picked without replacement from rrmqrrmrqrrrmaa.", "a": "0" }, { "q": "Five letters picked without replacement from kkyyykyk. Give prob of picking 4 y and 1 k.", "a": "1/14" }, { "q": "Five letters picked without replacement from xxsxfxsxtfwxssxst. Give prob of picking 1 t, 2 w, and 2 x.", "a": "0" }, { "q": "What is prob of picking 2 g, 1 p, 1 m, and 1 l when five letters picked without replacement from {j: 9, g: 5, p: 1, m: 2, l: 1}?", "a": "5/2142" }, { "q": "Five letters picked without replacement from kkejegkkgasgkskj. Give prob of picking 1 k, 1 a, 1 j, and 2 s.", "a": "1/364" }, { "q": "Calculate prob of picking 2 a, 1 g, and 2 k when five letters picked without replacement from kosaorsggsrkarg.", "a": "1/1001" }, { "q": "Calculate prob of picking 1 o, 1 r, 1 j, and 2 v when five letters picked without replacement from {r: 5, v: 9, o: 4, j: 1}.", "a": "20/323" }, { "q": "Calculate prob of picking 3 t and 2 y when five letters picked without replacement from {y: 2, t: 4, r: 3}.", "a": "2/63" }, { "q": "Calculate prob of picking 2 v, 1 l, and 2 s when five letters picked without replacement from vsvsvslvsssvvvvvsvlv.", "a": "385/2584" }, { "q": "Five letters picked without replacement from wxbaaawxbwxw. What is prob of picking 1 b, 1 x, and 3 w?", "a": "1/33" }, { "q": "What is prob of picking 1 n, 1 z, and 3 m when five letters picked without replacement from gznnggmomgmz?", "a": "1/198" }, { "q": "What is prob of picking 1 l, 2 m, and 2 z when five letters picked without replacement from zmmlzpzpmzllzz?", "a": "135/2002" }, { "q": "Five letters picked without replacement from {j: 4, a: 3, g: 13}. What is prob of picking 3 g and 2 j?", "a": "143/1292" }, { "q": "What is prob of picking 2 t and 3 m when five letters picked without replacement from tmmmmmmtmmmm?", "a": "5/33" }, { "q": "Calculate prob of picking 2 y and 3 m when five letters picked without replacement from {g: 1, v: 4, q: 9, y: 2, m: 3}.", "a": "1/11628" }, { "q": "Calculate prob of picking 1 h, 1 n, 2 j, and 1 f when five letters picked without replacement from {a: 2, n: 3, f: 6, h: 1, j: 5}.", "a": "45/1547" }, { "q": "Calculate prob of picking 1 d, 1 q, 1 m, and 2 y when five letters picked without replacement from dgrgymggqymdymd.", "a": "9/1001" }, { "q": "Five letters picked without replacement from {l: 5, v: 1, q: 6, k: 4}. Give prob of picking 5 q.", "a": "1/728" }, { "q": "Five letters picked without replacement from iizizuzz. What is prob of picking 3 z, 1 i, and 1 u?", "a": "3/14" }, { "q": "What is prob of picking 3 g and 2 i when five letters picked without replacement from igiigiiiiigig?", "a": "16/143" }, { "q": "Five letters picked without replacement from okooqkocczccozozko. Give prob of picking 1 q, 2 z, 1 c, and 1 k.", "a": "1/238" }, { "q": "Five letters picked without replacement from ikuiukkiukubrurusbur. What is prob of picking 1 b, 2 r, and 2 u?", "a": "21/2584" }, { "q": "Five letters picked without replacement from mmmmmmmmmmmhmh. Give prob of picking 2 h and 3 m.", "a": "10/91" }, { "q": "What is prob of picking 2 g and 3 w when five letters picked without replacement from gwwggggggwgwwgggggg?", "a": "455/5814" }, { "q": "What is prob of picking 2 a and 3 f when five letters picked without replacement from afafaaafaf?", "a": "5/21" }, { "q": "Five letters picked without replacement from wbwbbrbrbbrrbbwb. Give prob of picking 1 b, 3 w, and 1 r.", "a": "3/364" }, { "q": "Five letters picked without replacement from iggigiiddgdgd. What is prob of picking 3 i and 2 d?", "a": "8/429" }, { "q": "Calculate prob of picking 4 i and 1 h when five letters picked without replacement from {h: 5, i: 14}.", "a": "5005/11628" }, { "q": "Five letters picked without replacement from {t: 3, j: 6, x: 5}. What is prob of picking 1 x, 3 t, and 1 j?", "a": "15/1001" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from xxxaxxxxxxxxa?", "a": "14/39" }, { "q": "Five letters picked without replacement from hvvhvvvhvhvvvvvvhhvv. Give prob of picking 4 h and 1 v.", "a": "35/2584" }, { "q": "Calculate prob of picking 1 e, 1 g, 2 o, and 1 v when five letters picked without replacement from {f: 1, v: 1, g: 5, o: 2, e: 2, l: 1}.", "a": "5/396" }, { "q": "Calculate prob of picking 2 r, 1 b, and 2 n when five letters picked without replacement from {n: 2, a: 2, b: 1, r: 3, z: 3, y: 8}.", "a": "1/3876" }, { "q": "Calculate prob of picking 5 m when five letters picked without replacement from mmaammmaaaaaaaama.", "a": "3/3094" }, { "q": "Calculate prob of picking 1 y and 4 d when five letters picked without replacement from sydyddydddysd.", "a": "140/1287" }, { "q": "Calculate prob of picking 3 w and 2 l when five letters picked without replacement from wwwlwlwwwwlll.", "a": "560/1287" }, { "q": "What is prob of picking 1 w, 1 k, and 3 p when five letters picked without replacement from kppplwwowwwolopwooow?", "a": "7/3876" }, { "q": "Five letters picked without replacement from aymjmmjaaajmjaaa. Give prob of picking 2 j, 1 y, and 2 a.", "a": "3/104" }, { "q": "Five letters picked without replacement from {r: 8, g: 5, i: 4}. Give prob of picking 2 r and 3 g.", "a": "10/221" }, { "q": "Five letters picked without replacement from qrprhhqrpq. Give prob of picking 2 r and 3 q.", "a": "1/84" }, { "q": "Calculate prob of picking 2 j, 1 u, 1 l, and 1 i when five letters picked without replacement from iiiiilojiiuoujj.", "a": "2/143" }, { "q": "Five letters picked without replacement from {l: 2, o: 8, f: 2}. Give prob of picking 5 l.", "a": "0" }, { "q": "Five letters picked without replacement from {a: 14, l: 6}. Give prob of picking 5 l.", "a": "1/2584" }, { "q": "Calculate prob of picking 2 d, 2 q, and 1 s when five letters picked without replacement from lsdldlqlzzqddll.", "a": "2/1001" }, { "q": "Calculate prob of picking 2 v, 2 w, and 1 z when five letters picked without replacement from {z: 9, w: 2, v: 2}.", "a": "1/143" }, { "q": "Five letters picked without replacement from paaaaaaaa. Give prob of picking 1 p and 4 a.", "a": "5/9" }, { "q": "Five letters picked without replacement from oooobooooooooobooo. What is prob of picking 2 b and 3 o?", "a": "10/153" }, { "q": "Calculate prob of picking 4 y and 1 g when five letters picked without replacement from yyygyyyyyyyyoyyy.", "a": "11/48" }, { "q": "Five letters picked without replacement from slpmsllalldld. What is prob of picking 1 a, 1 l, 2 d, and 1 m?", "a": "2/429" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjijjjjjj?", "a": "4/9" }, { "q": "Five letters picked without replacement from yyoyaayyhyhhyoyy. Give prob of picking 1 o, 1 a, and 3 y.", "a": "1/13" }, { "q": "What is prob of picking 2 x and 3 z when five letters picked without replacement from {h: 3, z: 6, x: 9}?", "a": "10/119" }, { "q": "What is prob of picking 1 f and 4 m when five letters picked without replacement from {f: 6, m: 6}?", "a": "5/44" }, { "q": "Five letters picked without replacement from {y: 4, t: 5, o: 3, b: 2, f: 6}. What is prob of picking 1 t, 1 b, and 3 f?", "a": "25/1938" }, { "q": "What is prob of picking 1 g, 1 z, and 3 t when five letters picked without replacement from ttztggttzgttgttt?", "a": "20/91" }, { "q": "Five letters picked without replacement from vvovoovoovvvov. What is prob of picking 5 o?", "a": "3/1001" }, { "q": "Calculate prob of picking 1 d and 4 b when five letters picked without replacement from {b: 8, d: 2}.", "a": "5/9" }, { "q": "Calculate prob of picking 4 p and 1 f when five letters picked without replacement from fpkyfppffp.", "a": "1/63" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from {v: 4, w: 12}?", "a": "33/182" }, { "q": "Five letters picked without replacement from qfgeq. What is prob of picking 1 e, 1 q, and 3 g?", "a": "0" }, { "q": "Calculate prob of picking 1 d, 1 y, 2 v, and 1 g when five letters picked without replacement from {q: 1, k: 1, v: 4, y: 4, g: 6, d: 1}.", "a": "36/1547" }, { "q": "What is prob of picking 3 l and 2 n when five letters picked without replacement from {l: 7, v: 8, n: 5}?", "a": "175/7752" }, { "q": "What is prob of picking 2 p and 3 v when five letters picked without replacement from {p: 8, v: 7}?", "a": "140/429" }, { "q": "What is prob of picking 1 o and 4 a when five letters picked without replacement from {a: 6, s: 1, m: 1, o: 4}?", "a": "5/66" }, { "q": "Five letters picked without replacement from {x: 3, v: 1, l: 2, f: 5, r: 1}. What is prob of picking 2 f, 1 x, and 2 l?", "a": "5/132" }, { "q": "Five letters picked without replacement from zyzypyypyyzzppyyyy. What is prob of picking 2 z, 1 p, and 2 y?", "a": "15/119" }, { "q": "Calculate prob of picking 1 n, 1 g, and 3 j when five letters picked without replacement from {j: 3, d: 2, o: 4, g: 1, n: 8}.", "a": "1/1071" }, { "q": "Five letters picked without replacement from {z: 4, c: 4}. What is prob of picking 1 z and 4 c?", "a": "1/14" }, { "q": "Five letters picked without replacement from eadvvdedeiie. Give prob of picking 1 v, 3 e, and 1 i.", "a": "2/99" }, { "q": "Five letters picked without replacement from ueruytutytt. Give prob of picking 2 t, 1 u, 1 y, and 1 r.", "a": "6/77" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from emooooo?", "a": "1/21" }, { "q": "What is prob of picking 4 s and 1 m when five letters picked without replacement from sscmccppmppscsmss?", "a": "45/6188" }, { "q": "What is prob of picking 1 u and 4 p when five letters picked without replacement from yyqpypypuuuqpqx?", "a": "1/1001" }, { "q": "Five letters picked without replacement from {u: 2, m: 8}. Give prob of picking 1 u and 4 m.", "a": "5/9" }, { "q": "Five letters picked without replacement from {p: 6, a: 1}. Give prob of picking 3 p and 2 a.", "a": "0" }, { "q": "What is prob of picking 1 q, 1 b, 2 k, and 1 f when five letters picked without replacement from bwfffbdwdkfbwfkbq?", "a": "5/1547" }, { "q": "Five letters picked without replacement from qqqneqeqeeeeqq. What is prob of picking 1 n, 2 e, and 2 q?", "a": "45/286" }, { "q": "Calculate prob of picking 1 y, 3 s, and 1 n when five letters picked without replacement from {y: 1, h: 1, s: 3, n: 2}.", "a": "2/21" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from nnonznznnz?", "a": "1/42" }, { "q": "What is prob of picking 1 i, 1 o, and 3 y when five letters picked without replacement from igaeggeiyoeyy?", "a": "2/1287" }, { "q": "What is prob of picking 2 b and 3 s when five letters picked without replacement from {b: 5, s: 12}?", "a": "550/1547" }, { "q": "Five letters picked without replacement from cqyvyyvvycvqqcyqyycc. Give prob of picking 2 q, 2 c, and 1 v.", "a": "5/323" }, { "q": "Five letters picked without replacement from wlwqzqzlqqwqlllzq. What is prob of picking 3 q, 1 w, and 1 l?", "a": "75/1547" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {k: 9, j: 2, e: 6, a: 3}?", "a": "1/2584" }, { "q": "Five letters picked without replacement from {y: 5, i: 5}. What is prob of picking 3 i and 2 y?", "a": "25/63" }, { "q": "Five letters picked without replacement from yycmucycytuyccytcc. Give prob of picking 1 m, 1 c, 1 u, and 2 y.", "a": "5/204" }, { "q": "Calculate prob of picking 1 j and 4 m when five letters picked without replacement from mmmjjjjjmjmjmjkjm.", "a": "45/884" }, { "q": "Calculate prob of picking 2 u and 3 f when five letters picked without replacement from wjuwuwjjxwfuc.", "a": "0" }, { "q": "Calculate prob of picking 1 t, 2 v, and 2 o when five letters picked without replacement from vovtvoqgaoqv.", "a": "1/44" }, { "q": "Five letters picked without replacement from yxydjyhdyyijhdj. What is prob of picking 1 y, 1 x, 1 i, 1 h, and 1 d?", "a": "10/1001" }, { "q": "Five letters picked without replacement from {f: 3, k: 15}. What is prob of picking 3 k and 2 f?", "a": "65/408" }, { "q": "Five letters picked without replacement from {m: 3, i: 2, a: 2, j: 1}. Give prob of picking 3 m, 1 a, and 1 j.", "a": "1/28" }, { "q": "Five letters picked without replacement from {f: 2, d: 2, c: 2, q: 2, u: 3, l: 2}. What is prob of picking 2 f, 2 c, and 1 u?", "a": "1/429" }, { "q": "Five letters picked without replacement from kuekluki. What is prob of picking 2 i, 1 u, 1 k, and 1 e?", "a": "0" }, { "q": "Calculate prob of picking 4 o and 1 e when five letters picked without replacement from oooooooooeoooo.", "a": "5/14" }, { "q": "What is prob of picking 1 q and 4 n when five letters picked without replacement from nnnqnn?", "a": "5/6" }, { "q": "Five letters picked without replacement from rhhhdnnhnnhn. What is prob of picking 1 r, 3 h, and 1 d?", "a": "5/396" }, { "q": "Calculate prob of picking 1 k, 1 p, and 3 s when five letters picked without replacement from {k: 3, s: 7, u: 1, q: 7, p: 1}.", "a": "35/3876" }, { "q": "What is prob of picking 3 u and 2 x when five letters picked without replacement from uxxuuuxxkxxukxukkxxx?", "a": "75/1292" }, { "q": "Calculate prob of picking 1 z, 1 g, 2 y, and 1 s when five letters picked without replacement from {s: 2, z: 6, q: 2, g: 1, y: 3, p: 2}.", "a": "3/364" }, { "q": "Calculate prob of picking 3 o and 2 p when five letters picked without replacement from {o: 1, p: 3, z: 10, k: 1, r: 2, w: 2}.", "a": "0" }, { "q": "Five letters picked without replacement from {e: 1, w: 5, k: 5, d: 3}. What is prob of picking 2 d, 1 e, and 2 k?", "a": "15/1001" }, { "q": "Calculate prob of picking 1 c, 1 s, and 3 v when five letters picked without replacement from vvvsvvxcvccvv.", "a": "56/429" }, { "q": "Calculate prob of picking 1 a, 1 y, 1 c, and 2 x when five letters picked without replacement from {y: 1, c: 2, x: 7, a: 1, z: 2, m: 2}.", "a": "2/143" }, { "q": "Five letters picked without replacement from leexelrxxlel. Give prob of picking 1 l, 1 e, and 3 x.", "a": "2/99" }, { "q": "Five letters picked without replacement from {d: 2, j: 3, z: 4, m: 5, k: 2}. Give prob of picking 2 d, 2 z, and 1 j.", "a": "3/728" }, { "q": "Calculate prob of picking 1 s, 3 d, and 1 c when five letters picked without replacement from csssddsccd.", "a": "1/21" }, { "q": "Calculate prob of picking 1 s, 1 x, 2 a, and 1 k when five letters picked without replacement from uxsxkasuussnnnua.", "a": "1/546" }, { "q": "Calculate prob of picking 1 d and 4 a when five letters picked without replacement from {a: 3, d: 2}.", "a": "0" }, { "q": "Five letters picked without replacement from meeeeepppeeppm. Give prob of picking 1 m, 2 p, and 2 e.", "a": "30/143" }, { "q": "Five letters picked without replacement from {n: 10, k: 2, y: 5, p: 1}. What is prob of picking 3 n and 2 k?", "a": "5/357" }, { "q": "Five letters picked without replacement from mmmvvvvtmtkvmtkmm. Give prob of picking 1 t, 1 k, and 3 v.", "a": "15/1547" }, { "q": "Calculate prob of picking 1 i, 2 y, 1 f, and 1 l when five letters picked without replacement from {l: 4, y: 3, f: 1, j: 1, i: 2}.", "a": "4/77" }, { "q": "Calculate prob of picking 3 u and 2 t when five letters picked without replacement from {u: 5, q: 9, t: 3}.", "a": "15/3094" }, { "q": "What is prob of picking 5 x when five letters picked without replacement from {x: 10, d: 9}?", "a": "7/323" }, { "q": "Five letters picked without replacement from {p: 10, v: 4}. Give prob of picking 1 p and 4 v.", "a": "5/1001" }, { "q": "Calculate prob of picking 1 k and 4 t when five letters picked without replacement from ttktnttkkttkkttttnkt.", "a": "495/2584" }, { "q": "Calculate prob of picking 1 c and 4 q when five letters picked without replacement from qjaqqvqccq.", "a": "5/126" }, { "q": "Calculate prob of picking 4 n and 1 t when five letters picked without replacement from {t: 3, n: 5}.", "a": "15/56" }, { "q": "Five letters picked without replacement from ddssnssddusds. What is prob of picking 1 d, 1 n, and 3 s?", "a": "100/1287" }, { "q": "Five letters picked without replacement from dssqsdddldlqsddsxi. Give prob of picking 1 i, 2 l, 1 s, and 1 d.", "a": "5/1224" }, { "q": "Calculate prob of picking 2 o, 2 e, and 1 z when five letters picked without replacement from leoleeolllleloloeelz.", "a": "15/2584" }, { "q": "What is prob of picking 2 a, 1 e, and 2 o when five letters picked without replacement from ooqaaqoaaaaaaaeaqqa?", "a": "55/3876" }, { "q": "Five letters picked without replacement from dffdnnmddhhfmmn. Give prob of picking 1 h, 1 f, and 3 d.", "a": "8/1001" }, { "q": "Calculate prob of picking 3 g and 2 u when five letters picked without replacement from {u: 5, g: 15}.", "a": "2275/7752" }, { "q": "Five letters picked without replacement from wozziiwzwsoimwwiww. What is prob of picking 1 w, 1 o, 1 m, and 2 z?", "a": "1/204" }, { "q": "What is prob of picking 1 f and 4 y when five letters picked without replacement from {y: 7, f: 6, n: 4, o: 1}?", "a": "5/204" }, { "q": "Calculate prob of picking 2 s and 3 j when five letters picked without replacement from jsjjsj.", "a": "2/3" }, { "q": "Five letters picked without replacement from {z: 2, n: 2, l: 1, g: 1, v: 5, h: 7}. What is prob of picking 1 v, 3 h, and 1 l?", "a": "25/1224" }, { "q": "What is prob of picking 4 t and 1 m when five letters picked without replacement from mddttdtmtdddtt?", "a": "15/1001" }, { "q": "What is prob of picking 1 w, 2 v, and 2 i when five letters picked without replacement from viviwvilgiglww?", "a": "27/1001" }, { "q": "What is prob of picking 2 o and 3 c when five letters picked without replacement from ioiico?", "a": "0" }, { "q": "What is prob of picking 3 z, 1 y, and 1 t when five letters picked without replacement from zzyzztztzyzzz?", "a": "112/429" }, { "q": "Five letters picked without replacement from {n: 2, u: 3, y: 3, d: 1, h: 4, e: 4}. What is prob of picking 1 n, 2 d, and 2 y?", "a": "0" }, { "q": "Five letters picked without replacement from {u: 14, y: 1, z: 2}. What is prob of picking 5 u?", "a": "11/34" }, { "q": "Calculate prob of picking 2 c and 3 d when five letters picked without replacement from {i: 4, d: 9, f: 4, c: 2}.", "a": "7/969" }, { "q": "What is prob of picking 3 b and 2 a when five letters picked without replacement from {b: 3, a: 7}?", "a": "1/12" }, { "q": "Five letters picked without replacement from {x: 4, z: 6, m: 4}. Give prob of picking 1 m, 3 z, and 1 x.", "a": "160/1001" }, { "q": "Five letters picked without replacement from {w: 2, p: 2, l: 1, c: 3}. What is prob of picking 2 p, 1 l, and 2 c?", "a": "3/56" }, { "q": "Five letters picked without replacement from shhsddhnsdiv. Give prob of picking 1 n, 3 d, and 1 h.", "a": "1/264" }, { "q": "What is prob of picking 2 t and 3 r when five letters picked without replacement from {d: 10, r: 3, t: 6}?", "a": "5/3876" }, { "q": "What is prob of picking 2 u, 1 v, and 2 e when five letters picked without replacement from {v: 5, k: 2, m: 2, e: 3, u: 4}?", "a": "15/728" }, { "q": "Calculate prob of picking 5 b when five letters picked without replacement from {b: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from yfyyffyyy. What is prob of picking 5 y?", "a": "1/21" }, { "q": "Calculate prob of picking 2 q and 3 n when five letters picked without replacement from gqqnqqnnqnnnnjqqrg.", "a": "35/408" }, { "q": "Five letters picked without replacement from fgfggfgfgffgfffffg. Give prob of picking 2 f and 3 g.", "a": "275/1224" }, { "q": "Calculate prob of picking 1 n, 2 c, 1 z, and 1 y when five letters picked without replacement from cyiincz.", "a": "1/21" }, { "q": "What is prob of picking 3 m and 2 p when five letters picked without replacement from ffpjmjjffmpmpjjj?", "a": "1/1456" }, { "q": "Five letters picked without replacement from aiiiaaaiaaaau. Give prob of picking 1 i and 4 a.", "a": "280/1287" }, { "q": "What is prob of picking 2 v and 3 h when five letters picked without replacement from hvvhhvvhh?", "a": "10/21" }, { "q": "What is prob of picking 3 x, 1 n, and 1 z when five letters picked without replacement from {n: 1, r: 1, u: 1, x: 2, z: 1, k: 1}?", "a": "0" }, { "q": "Five letters picked without replacement from zbzbbzzbbbbbzbb. What is prob of picking 3 b and 2 z?", "a": "400/1001" }, { "q": "Calculate prob of picking 1 m, 3 z, and 1 u when five letters picked without replacement from qqumbzzqezqzz.", "a": "10/1287" }, { "q": "Five letters picked without replacement from {x: 2, o: 3, y: 3}. What is prob of picking 3 y, 1 o, and 1 x?", "a": "3/28" }, { "q": "Calculate prob of picking 1 y, 1 u, 1 g, and 2 d when five letters picked without replacement from ydgydjue.", "a": "1/28" }, { "q": "Five letters picked without replacement from {z: 5, q: 11}. Give prob of picking 5 z.", "a": "1/4368" }, { "q": "Five letters picked without replacement from zzzzzzzzzzzzzzztzzzz. Give prob of picking 4 z and 1 t.", "a": "1/4" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {w: 12, b: 1}.", "a": "8/13" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from dddddd?", "a": "1" }, { "q": "What is prob of picking 4 h and 1 j when five letters picked without replacement from jhhhhhhjhhhhhhhjhh?", "a": "65/136" }, { "q": "Five letters picked without replacement from ttttuutuuutuutuut. What is prob of picking 4 t and 1 u?", "a": "45/442" }, { "q": "Five letters picked without replacement from {w: 2, k: 1, e: 4, o: 3, r: 1, h: 5}. Give prob of picking 1 r, 2 o, 1 e, and 1 w.", "a": "1/182" }, { "q": "Five letters picked without replacement from dddbttjdtbtjtj. Give prob of picking 3 t, 1 d, and 1 j.", "a": "60/1001" }, { "q": "What is prob of picking 2 i, 2 t, and 1 y when five letters picked without replacement from {y: 4, l: 3, t: 2, i: 2, f: 3}?", "a": "2/1001" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from {y: 5, z: 11}.", "a": "1/4368" }, { "q": "What is prob of picking 4 r and 1 e when five letters picked without replacement from erererrrrer?", "a": "10/33" }, { "q": "Calculate prob of picking 5 f when five letters picked without replacement from ffquqffqfffqfq.", "a": "4/143" }, { "q": "What is prob of picking 2 u and 3 c when five letters picked without replacement from {u: 12, c: 5}?", "a": "165/1547" }, { "q": "Five letters picked without replacement from qyyqqxxqxqqqqqqlqqq. Give prob of picking 1 y, 2 x, and 2 q.", "a": "13/323" }, { "q": "Five letters picked without replacement from {d: 4, c: 4, s: 5, g: 7}. Give prob of picking 1 g, 1 d, 1 c, and 2 s.", "a": "70/969" }, { "q": "Five letters picked without replacement from {n: 6, x: 9}. Give prob of picking 2 n and 3 x.", "a": "60/143" }, { "q": "What is prob of picking 2 x and 3 g when five letters picked without replacement from {g: 7, x: 9}?", "a": "15/52" }, { "q": "Five letters picked without replacement from {x: 2, d: 1, t: 4, q: 2, a: 5, h: 1}. What is prob of picking 4 a and 1 q?", "a": "10/3003" }, { "q": "Five letters picked without replacement from wbiwwfbwiwzwwiewf. What is prob of picking 1 b, 2 f, 1 z, and 1 e?", "a": "1/3094" }, { "q": "Five letters picked without replacement from aqaynqynyyiji. What is prob of picking 2 a, 1 j, and 2 q?", "a": "1/1287" }, { "q": "What is prob of picking 3 x and 2 f when five letters picked without replacement from {x: 6, f: 9}?", "a": "240/1001" }, { "q": "What is prob of picking 1 q, 1 c, 2 g, and 1 h when five letters picked without replacement from {q: 4, g: 2, b: 2, w: 2, h: 3, c: 3}?", "a": "3/364" }, { "q": "Calculate prob of picking 1 s and 4 l when five letters picked without replacement from {f: 1, s: 1, l: 10, n: 2}.", "a": "15/143" }, { "q": "Five letters picked without replacement from {z: 2, n: 4, b: 1}. What is prob of picking 1 b and 4 n?", "a": "1/21" }, { "q": "What is prob of picking 1 c and 4 w when five letters picked without replacement from {c: 4, w: 4}?", "a": "1/14" }, { "q": "Five letters picked without replacement from eaaoeayydyodha. What is prob of picking 2 a, 1 d, and 2 y?", "a": "18/1001" }, { "q": "What is prob of picking 3 e, 1 j, and 1 a when five letters picked without replacement from {a: 9, e: 3, q: 1, j: 2, g: 2}?", "a": "9/3094" }, { "q": "Calculate prob of picking 1 g, 1 a, 2 c, and 1 q when five letters picked without replacement from caagaagccccq.", "a": "10/99" }, { "q": "Five letters picked without replacement from {f: 13, r: 1, s: 3}. What is prob of picking 3 s and 2 f?", "a": "3/238" }, { "q": "Five letters picked without replacement from qkkqqqkqkqqkqqq. Give prob of picking 5 k.", "a": "1/3003" }, { "q": "Five letters picked without replacement from {l: 1, v: 6, m: 3}. Give prob of picking 3 v, 1 m, and 1 l.", "a": "5/21" }, { "q": "Five letters picked without replacement from {c: 1, m: 1, w: 1, d: 3}. Give prob of picking 1 w, 2 d, 1 m, and 1 c.", "a": "1/2" }, { "q": "Calculate prob of picking 2 x, 2 m, and 1 r when five letters picked without replacement from qmmqxrmxxrr.", "a": "9/154" }, { "q": "Five letters picked without replacement from {v: 1, c: 1, f: 1, e: 5, j: 2}. What is prob of picking 1 j, 3 e, and 1 v?", "a": "5/63" }, { "q": "Five letters picked without replacement from ggggggggggggrrggmg. Give prob of picking 2 r, 2 g, and 1 m.", "a": "5/408" }, { "q": "What is prob of picking 2 m, 1 y, and 2 j when five letters picked without replacement from mmmjymmmmjmm?", "a": "1/22" }, { "q": "What is prob of picking 1 b, 1 f, 1 c, and 2 i when five letters picked without replacement from {c: 3, i: 2, f: 2, b: 3}?", "a": "1/14" }, { "q": "Five letters picked without replacement from xuuxqxxqquux. What is prob of picking 3 q, 1 u, and 1 x?", "a": "5/198" }, { "q": "Calculate prob of picking 3 t and 2 h when five letters picked without replacement from {h: 10, t: 5}.", "a": "150/1001" }, { "q": "What is prob of picking 1 p, 3 r, and 1 h when five letters picked without replacement from {w: 2, n: 1, h: 2, p: 1, r: 5}?", "a": "10/231" }, { "q": "Five letters picked without replacement from kakkkakaaaako. What is prob of picking 2 k and 3 a?", "a": "100/429" }, { "q": "What is prob of picking 1 p, 1 e, 1 f, 1 c, and 1 b when five letters picked without replacement from {c: 3, t: 1, f: 3, p: 1, e: 1, b: 1}?", "a": "1/28" }, { "q": "Five letters picked without replacement from vvvvvv. Give prob of picking 5 v.", "a": "1" }, { "q": "Calculate prob of picking 1 d, 1 g, 1 b, and 2 u when five letters picked without replacement from {b: 5, t: 4, u: 2, i: 1, g: 5, d: 2}.", "a": "25/5814" }, { "q": "Five letters picked without replacement from gtoootovoqhqooqtgq. What is prob of picking 1 o, 1 v, and 3 t?", "a": "1/1224" }, { "q": "Five letters picked without replacement from {l: 4, f: 6, i: 1, p: 1, n: 2}. What is prob of picking 1 p, 2 f, 1 n, and 1 l?", "a": "60/1001" }, { "q": "What is prob of picking 1 c and 4 s when five letters picked without replacement from cccccccccccs?", "a": "0" }, { "q": "What is prob of picking 4 w and 1 l when five letters picked without replacement from llwwwwnwlllwwlonllw?", "a": "140/2907" }, { "q": "Five letters picked without replacement from avvuzvvvza. Give prob of picking 2 z, 1 u, and 2 a.", "a": "1/252" }, { "q": "Five letters picked without replacement from {h: 8, l: 6}. What is prob of picking 5 h?", "a": "4/143" }, { "q": "Calculate prob of picking 2 w, 1 l, and 2 s when five letters picked without replacement from wwwwlssl.", "a": "3/14" }, { "q": "Calculate prob of picking 3 y and 2 n when five letters picked without replacement from {y: 5, e: 1, n: 3, s: 3}.", "a": "5/132" }, { "q": "Calculate prob of picking 1 y and 4 t when five letters picked without replacement from ttvtqtttyy.", "a": "5/42" }, { "q": "Calculate prob of picking 1 t, 1 n, 2 k, and 1 d when five letters picked without replacement from qtttttdtqtnttqktktq.", "a": "11/11628" }, { "q": "Five letters picked without replacement from dxdddmd. What is prob of picking 1 x, 3 d, and 1 m?", "a": "10/21" }, { "q": "What is prob of picking 1 b, 3 c, and 1 a when five letters picked without replacement from {j: 1, c: 3, k: 3, b: 10, a: 1, s: 1}?", "a": "5/5814" }, { "q": "Five letters picked without replacement from gssbegeebgsss. What is prob of picking 3 g, 1 s, and 1 e?", "a": "5/429" }, { "q": "Five letters picked without replacement from {o: 2, v: 2, n: 2, y: 11, c: 1}. Give prob of picking 3 y and 2 n.", "a": "55/2856" }, { "q": "Calculate prob of picking 1 a, 3 t, and 1 m when five letters picked without replacement from tktlmalt.", "a": "1/56" }, { "q": "Five letters picked without replacement from uutuqtuujttjjqjj. What is prob of picking 2 q, 1 t, 1 u, and 1 j?", "a": "25/1092" }, { "q": "Five letters picked without replacement from {y: 4, w: 3, b: 1, a: 3, j: 2}. What is prob of picking 2 w and 3 a?", "a": "1/429" }, { "q": "Calculate prob of picking 2 q, 2 y, and 1 z when five letters picked without replacement from {x: 3, q: 5, y: 3, z: 2}.", "a": "20/429" }, { "q": "Calculate prob of picking 1 u, 2 p, and 2 j when five letters picked without replacement from {g: 2, j: 5, u: 4, h: 1, p: 3, l: 2}.", "a": "30/1547" }, { "q": "What is prob of picking 1 u and 4 v when five letters picked without replacement from uuvvuuuvuuvu?", "a": "1/99" }, { "q": "Calculate prob of picking 4 z and 1 j when five letters picked without replacement from {z: 6, j: 5, x: 2}.", "a": "25/429" }, { "q": "Five letters picked without replacement from hhhchhhchhhhhhhhhhhh. Give prob of picking 1 c and 4 h.", "a": "15/38" }, { "q": "What is prob of picking 1 d, 1 z, 1 j, and 2 r when five letters picked without replacement from {j: 4, a: 1, d: 4, z: 2, r: 4, i: 1}?", "a": "4/91" }, { "q": "What is prob of picking 3 y, 1 b, and 1 j when five letters picked without replacement from {j: 2, y: 3, h: 1, b: 3}?", "a": "1/21" }, { "q": "Five letters picked without replacement from {w: 3, s: 5, j: 7}. Give prob of picking 1 w, 1 s, and 3 j.", "a": "25/143" }, { "q": "What is prob of picking 3 l and 2 c when five letters picked without replacement from {c: 7, l: 9}?", "a": "21/52" }, { "q": "Calculate prob of picking 4 k and 1 t when five letters picked without replacement from xcokyxyxkkxyytkkx.", "a": "5/6188" }, { "q": "Five letters picked without replacement from {q: 10, r: 5}. Give prob of picking 3 r and 2 q.", "a": "150/1001" }, { "q": "Five letters picked without replacement from ldddfrurrffduruddudf. What is prob of picking 1 r, 1 f, and 3 u?", "a": "4/969" }, { "q": "Five letters picked without replacement from {w: 1, x: 1, u: 2, z: 1, v: 5}. What is prob of picking 1 x, 3 v, and 1 w?", "a": "5/126" }, { "q": "What is prob of picking 5 w when five letters picked without replacement from hwwowohhooowhwhohhoo?", "a": "1/15504" }, { "q": "Five letters picked without replacement from tiiftti. Give prob of picking 1 f, 2 t, and 2 i.", "a": "3/7" }, { "q": "Calculate prob of picking 2 l, 1 v, and 2 u when five letters picked without replacement from ulvlqu.", "a": "1/6" }, { "q": "What is prob of picking 2 u, 2 v, and 1 x when five letters picked without replacement from {u: 2, s: 2, x: 3, n: 1, v: 2}?", "a": "1/84" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from jjlljjljjttjjlj.", "a": "6/143" }, { "q": "Five letters picked without replacement from scssssscsccssss. Give prob of picking 5 s.", "a": "2/13" }, { "q": "What is prob of picking 2 l and 3 x when five letters picked without replacement from xxxxxlllxllxxllxxlx?", "a": "385/969" }, { "q": "What is prob of picking 2 g, 1 a, and 2 x when five letters picked without replacement from xgxaagxxg?", "a": "2/7" }, { "q": "Five letters picked without replacement from yydydddyyddyydydy. Give prob of picking 2 d and 3 y.", "a": "84/221" }, { "q": "Five letters picked without replacement from kxkccvhh. Give prob of picking 1 v, 2 c, and 2 h.", "a": "1/56" }, { "q": "Five letters picked without replacement from yjjqqjjqjjqyjjy. What is prob of picking 5 j?", "a": "8/429" }, { "q": "Calculate prob of picking 2 p, 1 o, and 2 q when five letters picked without replacement from pqxoqxqjxojjpko.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {w: 1, s: 1, t: 4, l: 1, e: 2, x: 3}. What is prob of picking 1 l, 1 s, 1 w, 1 x, and 1 t?", "a": "1/66" }, { "q": "Five letters picked without replacement from {s: 2, q: 2, u: 4, w: 2}. Give prob of picking 1 w and 4 u.", "a": "1/126" }, { "q": "What is prob of picking 2 j, 2 a, and 1 w when five letters picked without replacement from {g: 2, a: 3, w: 8, j: 5}?", "a": "10/357" }, { "q": "Five letters picked without replacement from rjjllw. What is prob of picking 1 l, 2 r, and 2 w?", "a": "0" }, { "q": "Five letters picked without replacement from uumuooouuuuuuuu. Give prob of picking 5 u.", "a": "2/13" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from hqhqnnqbnhnqhqhn.", "a": "1/4368" }, { "q": "Calculate prob of picking 1 x and 4 q when five letters picked without replacement from xxqqxqqqqqxqxxqqq.", "a": "495/1547" }, { "q": "Five letters picked without replacement from {i: 3, b: 1, l: 3, y: 1, x: 3}. Give prob of picking 1 b, 1 l, and 3 x.", "a": "1/154" }, { "q": "What is prob of picking 3 p and 2 f when five letters picked without replacement from fpfffppfpfp?", "a": "25/77" }, { "q": "Five letters picked without replacement from lbygblbyygyzzz. What is prob of picking 1 b, 2 g, 1 z, and 1 y?", "a": "18/1001" }, { "q": "Calculate prob of picking 1 w and 4 d when five letters picked without replacement from ddnddnnwwwd.", "a": "5/154" }, { "q": "What is prob of picking 2 j and 3 d when five letters picked without replacement from dccdcjcdcjcscjcjdccj?", "a": "5/1938" }, { "q": "What is prob of picking 3 s and 2 z when five letters picked without replacement from {z: 5, s: 3, j: 1, l: 5, n: 1}?", "a": "10/3003" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from ggyggyygygygy?", "a": "2/429" }, { "q": "What is prob of picking 1 x and 4 c when five letters picked without replacement from {x: 5, c: 4}?", "a": "5/126" }, { "q": "What is prob of picking 1 e, 1 y, 2 u, and 1 r when five letters picked without replacement from ryrrrryneurrrruuuur?", "a": "50/2907" }, { "q": "Five letters picked without replacement from {v: 2, l: 1, o: 6, f: 6}. Give prob of picking 3 o and 2 f.", "a": "100/1001" }, { "q": "Calculate prob of picking 5 z when five letters picked without replacement from czzzszzzzzz.", "a": "3/11" }, { "q": "Five letters picked without replacement from {i: 6, n: 5}. Give prob of picking 2 i and 3 n.", "a": "25/77" }, { "q": "What is prob of picking 1 k, 1 b, and 3 a when five letters picked without replacement from {b: 7, w: 1, k: 1, a: 4, z: 2, m: 1}?", "a": "1/156" }, { "q": "What is prob of picking 2 p, 2 n, and 1 q when five letters picked without replacement from phhphhqnn?", "a": "1/126" }, { "q": "Five letters picked without replacement from {s: 5, o: 2, n: 4}. Give prob of picking 3 s and 2 o.", "a": "5/231" }, { "q": "Calculate prob of picking 1 a and 4 y when five letters picked without replacement from ayayaayayyaaaaa.", "a": "50/3003" }, { "q": "Five letters picked without replacement from ucuucucucuccuuucc. What is prob of picking 1 c and 4 u?", "a": "36/221" }, { "q": "Five letters picked without replacement from {n: 2, s: 4, k: 5, q: 7}. What is prob of picking 1 q, 1 k, and 3 s?", "a": "5/306" }, { "q": "What is prob of picking 3 v, 1 h, and 1 r when five letters picked without replacement from {f: 1, v: 3, r: 2, h: 1}?", "a": "2/21" }, { "q": "What is prob of picking 1 z, 2 d, and 2 f when five letters picked without replacement from zdzzzfzzfzfzdzzfzzz?", "a": "13/1938" }, { "q": "Five letters picked without replacement from {t: 4, u: 12}. Give prob of picking 2 u and 3 t.", "a": "11/182" }, { "q": "Five letters picked without replacement from iiccicccc. Give prob of picking 2 i and 3 c.", "a": "10/21" }, { "q": "Calculate prob of picking 1 e, 1 i, and 3 v when five letters picked without replacement from {i: 2, e: 1, w: 9, b: 4, v: 3, l: 1}.", "a": "1/7752" }, { "q": "Calculate prob of picking 5 q when five letters picked without replacement from {q: 7, v: 12}.", "a": "7/3876" }, { "q": "Five letters picked without replacement from {d: 1, s: 13, g: 1, a: 4}. Give prob of picking 2 d, 1 g, and 2 s.", "a": "0" }, { "q": "What is prob of picking 3 g and 2 m when five letters picked without replacement from gsmgmmsmmgmmgsm?", "a": "16/429" }, { "q": "Five letters picked without replacement from zddacdaccaazzcecc. What is prob of picking 1 d and 4 c?", "a": "45/6188" }, { "q": "Five letters picked without replacement from qqgqqqqcqcsqigcgqq. What is prob of picking 3 q, 1 s, and 1 i?", "a": "5/357" }, { "q": "What is prob of picking 1 s, 1 p, and 3 k when five letters picked without replacement from yjjykyskpksjljk?", "a": "8/3003" }, { "q": "Five letters picked without replacement from {t: 5, e: 1}. What is prob of picking 1 e and 4 t?", "a": "5/6" }, { "q": "Five letters picked without replacement from {p: 9, h: 2, z: 3, b: 5}. What is prob of picking 2 h, 1 p, and 2 z?", "a": "3/1292" }, { "q": "Five letters picked without replacement from qqqqqqqqcyfqqcqqqc. Give prob of picking 1 q and 4 f.", "a": "0" }, { "q": "Five letters picked without replacement from aaaaaabaaaaaaaabaaa. What is prob of picking 5 a?", "a": "91/171" }, { "q": "Five letters picked without replacement from dzddddddzzdvddzzdb. What is prob of picking 1 b, 2 d, and 2 z?", "a": "275/4284" }, { "q": "Five letters picked without replacement from kiblmlkbzbkmimmkm. What is prob of picking 2 k, 2 l, and 1 z?", "a": "3/3094" }, { "q": "What is prob of picking 3 v and 2 d when five letters picked without replacement from vvdvvvddvvvvvvvvdv?", "a": "13/51" }, { "q": "Five letters picked without replacement from vlvllllvlvvvvvvvl. What is prob of picking 4 l and 1 v?", "a": "25/442" }, { "q": "Five letters picked without replacement from ommkdmok. Give prob of picking 3 m, 1 d, and 1 k.", "a": "1/28" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {c: 5}?", "a": "1" }, { "q": "Five letters picked without replacement from viviivmmmvivmmmivvvm. Give prob of picking 3 v, 1 m, and 1 i.", "a": "245/1938" }, { "q": "Five letters picked without replacement from {a: 5, e: 3}. Give prob of picking 2 e and 3 a.", "a": "15/28" }, { "q": "Calculate prob of picking 1 d, 1 f, and 3 z when five letters picked without replacement from {f: 1, a: 5, x: 1, z: 4, d: 1, o: 1}.", "a": "4/1287" }, { "q": "Five letters picked without replacement from yyiiisyyiyiiiiyyy. What is prob of picking 4 i and 1 y?", "a": "20/221" }, { "q": "Calculate prob of picking 4 n and 1 z when five letters picked without replacement from {z: 1, h: 1, n: 10}.", "a": "35/132" }, { "q": "Calculate prob of picking 4 v and 1 u when five letters picked without replacement from vvvvuvquvqqqvvv.", "a": "12/143" }, { "q": "Five letters picked without replacement from {c: 3, n: 9}. Give prob of picking 2 n and 3 c.", "a": "1/22" }, { "q": "Calculate prob of picking 3 f and 2 u when five letters picked without replacement from {f: 8, u: 4}.", "a": "14/33" }, { "q": "Five letters picked without replacement from hjhjusmvsusuushs. What is prob of picking 1 s, 2 h, 1 m, and 1 v?", "a": "5/1456" }, { "q": "Calculate prob of picking 1 h, 3 p, and 1 n when five letters picked without replacement from ppnmmhhhmdhpupp.", "a": "40/3003" }, { "q": "What is prob of picking 1 z, 1 c, 1 s, and 2 b when five letters picked without replacement from bzcczccxccszb?", "a": "2/143" }, { "q": "Calculate prob of picking 1 x, 3 m, and 1 p when five letters picked without replacement from xdwwmwmmmdmwdpp.", "a": "20/3003" }, { "q": "What is prob of picking 1 b, 1 c, and 3 n when five letters picked without replacement from bcbbcnncnccnbbccccb?", "a": "6/323" }, { "q": "Calculate prob of picking 1 k and 4 p when five letters picked without replacement from {k: 3, p: 13}.", "a": "55/112" }, { "q": "What is prob of picking 1 x, 3 u, and 1 k when five letters picked without replacement from ggkuuogxggguxukgkx?", "a": "1/238" }, { "q": "What is prob of picking 2 f, 1 z, and 2 e when five letters picked without replacement from {q: 5, e: 4, b: 1, z: 1, c: 3, f: 1}?", "a": "0" }, { "q": "What is prob of picking 1 k, 1 b, 1 a, and 2 v when five letters picked without replacement from rvakvsabvr?", "a": "1/42" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {m: 2, y: 2, f: 9}?", "a": "14/143" }, { "q": "Five letters picked without replacement from casizzacscd. Give prob of picking 1 a, 1 s, and 3 c.", "a": "2/231" }, { "q": "Five letters picked without replacement from {h: 7, y: 6}. What is prob of picking 5 y?", "a": "2/429" }, { "q": "Five letters picked without replacement from {l: 4, a: 2, q: 1, r: 5, s: 3}. What is prob of picking 2 r, 1 a, and 2 l?", "a": "40/1001" }, { "q": "What is prob of picking 1 t, 2 o, and 2 k when five letters picked without replacement from tttootsktocktcttkcc?", "a": "2/323" }, { "q": "What is prob of picking 1 o, 1 y, and 3 e when five letters picked without replacement from {y: 1, e: 10, o: 1}?", "a": "5/33" }, { "q": "Five letters picked without replacement from uuhuuuuuuhh. What is prob of picking 3 u and 2 h?", "a": "4/11" }, { "q": "Calculate prob of picking 3 k and 2 h when five letters picked without replacement from nhknkhhhfonnnkkoknhh.", "a": "25/2584" }, { "q": "Five letters picked without replacement from aadqannnnnac. What is prob of picking 3 a, 1 n, and 1 c?", "a": "5/198" }, { "q": "Five letters picked without replacement from eejhhjehhehheehe. Give prob of picking 4 h and 1 e.", "a": "35/624" }, { "q": "Five letters picked without replacement from fwfnnnwffwwfnwnfwf. What is prob of picking 1 f and 4 n?", "a": "5/1224" }, { "q": "Calculate prob of picking 3 x and 2 p when five letters picked without replacement from {p: 4, x: 4, h: 2, v: 8}.", "a": "1/357" }, { "q": "Five letters picked without replacement from didiiycpcpddhyypdyh. What is prob of picking 3 p, 1 d, and 1 i?", "a": "5/3876" }, { "q": "Five letters picked without replacement from fpfpfpfl. Give prob of picking 2 f and 3 p.", "a": "3/28" }, { "q": "Five letters picked without replacement from dxndbbxxxnnnn. What is prob of picking 1 d and 4 x?", "a": "2/1287" }, { "q": "Calculate prob of picking 3 q and 2 k when five letters picked without replacement from qkqqqkqqkq.", "a": "5/12" }, { "q": "Five letters picked without replacement from {w: 7, h: 10}. What is prob of picking 5 w?", "a": "3/884" }, { "q": "What is prob of picking 1 z, 1 v, 1 j, and 2 x when five letters picked without replacement from {x: 1, z: 2, w: 1, j: 1, v: 2}?", "a": "0" }, { "q": "Five letters picked without replacement from xcelxlzcelexcclx. What is prob of picking 2 c and 3 x?", "a": "1/182" }, { "q": "Calculate prob of picking 1 b, 1 q, 2 r, and 1 g when five letters picked without replacement from rprprbrqbbqgb.", "a": "16/429" }, { "q": "Five letters picked without replacement from {x: 2, p: 4, b: 4, m: 2, c: 1, v: 1}. Give prob of picking 2 m, 1 v, 1 x, and 1 b.", "a": "4/1001" }, { "q": "Five letters picked without replacement from vsqnqqn. What is prob of picking 1 s, 1 v, 2 n, and 1 q?", "a": "1/7" }, { "q": "Five letters picked without replacement from qqqqqhhhhqqhqqqqqhq. Give prob of picking 4 q and 1 h.", "a": "715/1938" }, { "q": "Five letters picked without replacement from {e: 6, n: 4, a: 2, s: 2}. Give prob of picking 4 e and 1 n.", "a": "30/1001" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from {e: 9, m: 9}?", "a": "1/68" }, { "q": "Five letters picked without replacement from {u: 1, z: 5, b: 8, m: 1, c: 1, y: 4}. Give prob of picking 1 u, 1 c, and 3 y.", "a": "1/3876" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from gfffffff?", "a": "3/8" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {e: 5}?", "a": "1" }, { "q": "What is prob of picking 1 s, 2 b, and 2 r when five letters picked without replacement from rrbbsresbsrsbt?", "a": "72/1001" }, { "q": "What is prob of picking 1 x, 1 o, and 3 d when five letters picked without replacement from {q: 1, d: 3, o: 4, x: 6}?", "a": "12/1001" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 8, r: 2}.", "a": "2/9" }, { "q": "Calculate prob of picking 2 s, 2 h, and 1 z when five letters picked without replacement from {m: 1, h: 2, s: 3, z: 4}.", "a": "1/21" }, { "q": "Five letters picked without replacement from mnnnnnnnnnmmnnnaamn. What is prob of picking 2 n and 3 m?", "a": "26/969" }, { "q": "Calculate prob of picking 3 y and 2 n when five letters picked without replacement from {y: 3, n: 5, w: 10, t: 1}.", "a": "5/5814" }, { "q": "Five letters picked without replacement from {s: 1, t: 1, r: 2, q: 2, p: 6, u: 2}. Give prob of picking 1 t, 2 r, and 2 q.", "a": "1/2002" }, { "q": "Five letters picked without replacement from bbvvvbvvbvbvvvvbvvvv. What is prob of picking 4 b and 1 v?", "a": "35/2584" }, { "q": "What is prob of picking 2 y and 3 a when five letters picked without replacement from {a: 7, y: 5}?", "a": "175/396" }, { "q": "Calculate prob of picking 1 l and 4 z when five letters picked without replacement from {r: 4, l: 6, z: 5}.", "a": "10/1001" }, { "q": "Five letters picked without replacement from cdddssscsdddddcddc. What is prob of picking 2 s and 3 c?", "a": "1/357" }, { "q": "Calculate prob of picking 5 d when five letters picked without replacement from eedddddedededd.", "a": "9/143" }, { "q": "Five letters picked without replacement from uuzhmhwuhwunuuhuu. Give prob of picking 4 u and 1 h.", "a": "10/221" }, { "q": "What is prob of picking 4 a and 1 y when five letters picked without replacement from ayayaa?", "a": "1/3" }, { "q": "Calculate prob of picking 1 i and 4 f when five letters picked without replacement from {f: 10, i: 6}.", "a": "15/52" }, { "q": "Five letters picked without replacement from zoqhhoooppoogohozoo. Give prob of picking 1 p, 1 h, 1 g, and 2 o.", "a": "15/646" }, { "q": "Five letters picked without replacement from {x: 6, k: 7}. Give prob of picking 5 k.", "a": "7/429" }, { "q": "Five letters picked without replacement from {f: 6, i: 1}. What is prob of picking 5 f?", "a": "2/7" }, { "q": "Calculate prob of picking 1 z, 1 e, and 3 u when five letters picked without replacement from {z: 9, i: 1, e: 1, u: 5}.", "a": "15/728" }, { "q": "Five letters picked without replacement from jwwwwkwwwwwkkwkw. Give prob of picking 4 k and 1 w.", "a": "11/4368" }, { "q": "What is prob of picking 2 b and 3 j when five letters picked without replacement from {f: 2, w: 1, n: 1, b: 2, h: 1, j: 6}?", "a": "20/1287" }, { "q": "Five letters picked without replacement from {z: 7, m: 9}. What is prob of picking 2 m and 3 z?", "a": "15/52" }, { "q": "What is prob of picking 1 u and 4 f when five letters picked without replacement from fufufuuff?", "a": "10/63" }, { "q": "Five letters picked without replacement from iisississsssiisi. Give prob of picking 5 i.", "a": "1/208" }, { "q": "Five letters picked without replacement from {r: 6, g: 2, u: 1, j: 1}. What is prob of picking 1 g and 4 r?", "a": "5/42" }, { "q": "Calculate prob of picking 2 o and 3 c when five letters picked without replacement from {o: 2, v: 1, c: 8, p: 4, t: 2}.", "a": "2/221" }, { "q": "Calculate prob of picking 2 w and 3 q when five letters picked without replacement from qqkwqqwkqqkqqkkq.", "a": "1/52" }, { "q": "Five letters picked without replacement from ororor. Give prob of picking 3 r and 2 o.", "a": "1/2" }, { "q": "What is prob of picking 3 f and 2 q when five letters picked without replacement from {f: 5, j: 5, q: 4, p: 1}?", "a": "20/1001" }, { "q": "Five letters picked without replacement from sssgsgs. What is prob of picking 2 g and 3 s?", "a": "10/21" }, { "q": "What is prob of picking 1 j, 3 o, and 1 g when five letters picked without replacement from {p: 2, o: 14, j: 3, g: 1}?", "a": "91/1292" }, { "q": "Five letters picked without replacement from zeepeeezzeep. Give prob of picking 3 e and 2 p.", "a": "35/792" }, { "q": "Calculate prob of picking 1 y and 4 b when five letters picked without replacement from {y: 7, b: 7, t: 1, w: 3, p: 2}.", "a": "245/15504" }, { "q": "Five letters picked without replacement from {y: 17, g: 3}. What is prob of picking 5 y?", "a": "91/228" }, { "q": "Five letters picked without replacement from hjjjrrhyryyrhjyryh. What is prob of picking 2 j and 3 r?", "a": "5/714" }, { "q": "Five letters picked without replacement from {r: 3, h: 4, s: 1, j: 1, v: 1, c: 1}. What is prob of picking 1 h, 2 r, 1 j, and 1 v?", "a": "2/77" }, { "q": "Five letters picked without replacement from gggggmggggmgmgmgm. What is prob of picking 5 g?", "a": "198/1547" }, { "q": "Calculate prob of picking 1 f, 3 a, and 1 n when five letters picked without replacement from fffannnnfnqnaanf.", "a": "5/624" }, { "q": "Five letters picked without replacement from nkhnknk. What is prob of picking 3 n and 2 k?", "a": "1/7" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {n: 7, e: 8, i: 2}?", "a": "2/221" }, { "q": "What is prob of picking 1 c, 2 i, and 2 h when five letters picked without replacement from {c: 4, h: 9, i: 6}?", "a": "60/323" }, { "q": "Five letters picked without replacement from ggbggbwwgqbggggwggg. Give prob of picking 4 g and 1 w.", "a": "165/1292" }, { "q": "Five letters picked without replacement from {o: 3, w: 4}. What is prob of picking 3 o and 2 w?", "a": "2/7" }, { "q": "Calculate prob of picking 2 q, 2 p, and 1 k when five letters picked without replacement from {k: 1, q: 2, p: 3}.", "a": "1/2" }, { "q": "What is prob of picking 3 a and 2 s when five letters picked without replacement from aaaaasasasaaaaa?", "a": "20/91" }, { "q": "Five letters picked without replacement from {q: 3, w: 1, u: 6, v: 7}. What is prob of picking 2 w, 1 q, and 2 v?", "a": "0" }, { "q": "Calculate prob of picking 1 q, 3 s, and 1 y when five letters picked without replacement from {n: 1, s: 3, q: 1, y: 2}.", "a": "2/21" }, { "q": "Five letters picked without replacement from {n: 10, w: 7}. Give prob of picking 4 w and 1 n.", "a": "25/442" }, { "q": "Calculate prob of picking 1 y, 3 c, and 1 m when five letters picked without replacement from {e: 4, m: 1, c: 4, y: 4, j: 7}.", "a": "1/969" }, { "q": "Calculate prob of picking 2 h and 3 x when five letters picked without replacement from xxxxxxhxhxxhxx.", "a": "45/182" }, { "q": "Calculate prob of picking 4 x and 1 z when five letters picked without replacement from {x: 15, z: 2}.", "a": "15/34" }, { "q": "Calculate prob of picking 1 r and 4 b when five letters picked without replacement from mbbbmbbmpbr.", "a": "5/154" }, { "q": "Five letters picked without replacement from aaafafafa. Give prob of picking 3 a and 2 f.", "a": "10/21" }, { "q": "What is prob of picking 1 m, 2 k, and 2 f when five letters picked without replacement from {m: 8, v: 1, f: 3, k: 4, s: 1}?", "a": "36/1547" }, { "q": "Calculate prob of picking 1 z, 2 q, and 2 u when five letters picked without replacement from {z: 5, q: 5, v: 1, u: 4}.", "a": "100/1001" }, { "q": "Calculate prob of picking 3 g, 1 c, and 1 o when five letters picked without replacement from cfcghoghohaohhg.", "a": "2/1001" }, { "q": "Five letters picked without replacement from hvhhhhvvhvvvhhhhvh. What is prob of picking 5 v?", "a": "1/408" }, { "q": "Five letters picked without replacement from {o: 5, b: 4, d: 6}. Give prob of picking 3 o and 2 b.", "a": "20/1001" }, { "q": "Calculate prob of picking 3 m, 1 w, and 1 d when five letters picked without replacement from mrmrdrppmwmmm.", "a": "20/1287" }, { "q": "Calculate prob of picking 1 s, 1 v, 2 y, and 1 g when five letters picked without replacement from vvvvytvgyvvwtvss.", "a": "1/273" }, { "q": "What is prob of picking 3 t and 2 m when five letters picked without replacement from tmmgtmmgttggtm?", "a": "50/1001" }, { "q": "Calculate prob of picking 3 e and 2 z when five letters picked without replacement from zemmnwzeecmmwmnenzc.", "a": "1/969" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {e: 5, o: 3, u: 1, r: 2, z: 2, n: 3}?", "a": "1/4368" }, { "q": "Five letters picked without replacement from uguwgfuffwfwuguuuf. Give prob of picking 3 g and 2 f.", "a": "5/4284" }, { "q": "Five letters picked without replacement from {d: 2, f: 12}. Give prob of picking 1 d and 4 f.", "a": "45/91" }, { "q": "Five letters picked without replacement from {g: 1, x: 1, w: 3, t: 3, k: 5, h: 3}. What is prob of picking 3 h, 1 t, and 1 g?", "a": "1/1456" }, { "q": "Five letters picked without replacement from {m: 6, t: 12}. Give prob of picking 4 t and 1 m.", "a": "165/476" }, { "q": "Five letters picked without replacement from diaaiiymilaiyylaia. What is prob of picking 1 m, 3 y, and 1 i?", "a": "1/1428" }, { "q": "Calculate prob of picking 4 c and 1 l when five letters picked without replacement from {y: 9, c: 6, m: 2, l: 2}.", "a": "5/1938" }, { "q": "Five letters picked without replacement from {f: 7, w: 1, h: 5}. Give prob of picking 4 h and 1 f.", "a": "35/1287" }, { "q": "Five letters picked without replacement from {n: 1, b: 2, s: 3, z: 1, k: 4, t: 7}. Give prob of picking 3 s and 2 t.", "a": "1/408" }, { "q": "What is prob of picking 1 h, 1 i, 2 t, and 1 v when five letters picked without replacement from htttihttttiuthththtv?", "a": "275/7752" }, { "q": "Five letters picked without replacement from {v: 4, p: 4, c: 3, z: 1, s: 1}. What is prob of picking 1 z, 1 p, 1 s, and 2 c?", "a": "4/429" }, { "q": "Five letters picked without replacement from denyveyyykyynek. What is prob of picking 2 k, 1 v, and 2 n?", "a": "1/3003" }, { "q": "Five letters picked without replacement from gewgegegeug. Give prob of picking 3 e, 1 w, and 1 u.", "a": "2/231" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from ssssssssss.", "a": "1" }, { "q": "Five letters picked without replacement from {s: 1, f: 1, h: 1, i: 8, l: 4, b: 1}. Give prob of picking 1 h, 3 s, and 1 l.", "a": "0" }, { "q": "What is prob of picking 4 z and 1 v when five letters picked without replacement from {v: 1, z: 9, t: 1}?", "a": "3/11" }, { "q": "What is prob of picking 1 y and 4 e when five letters picked without replacement from yeyeyyyyyeyyeyyyye?", "a": "65/8568" }, { "q": "Five letters picked without replacement from ffifiiffffff. What is prob of picking 1 i and 4 f?", "a": "21/44" }, { "q": "What is prob of picking 1 e, 1 d, 2 p, and 1 h when five letters picked without replacement from {j: 1, d: 2, h: 1, e: 4, p: 2, n: 1}?", "a": "4/231" }, { "q": "Five letters picked without replacement from {k: 4, e: 5, r: 10}. Give prob of picking 1 k and 4 e.", "a": "5/2907" }, { "q": "Calculate prob of picking 1 r, 2 d, 1 e, and 1 i when five letters picked without replacement from mmereedekdi.", "a": "2/231" }, { "q": "Calculate prob of picking 5 i when five letters picked without replacement from {i: 2, u: 3}.", "a": "0" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from fhhthhttfth.", "a": "1/462" }, { "q": "Five letters picked without replacement from {x: 6, e: 8}. Give prob of picking 5 e.", "a": "4/143" }, { "q": "What is prob of picking 2 h and 3 r when five letters picked without replacement from zurrgzgrhngghhhz?", "a": "1/728" }, { "q": "Calculate prob of picking 1 j, 2 u, 1 q, and 1 d when five letters picked without replacement from qujcquwdjcw.", "a": "2/231" }, { "q": "Calculate prob of picking 4 w and 1 f when five letters picked without replacement from {q: 7, f: 1, u: 3, j: 1, w: 4}.", "a": "1/4368" }, { "q": "Calculate prob of picking 3 x, 1 v, and 1 z when five letters picked without replacement from vvvxxxxvxvvxzxvivxvr.", "a": "21/646" }, { "q": "Five letters picked without replacement from {g: 6, t: 11}. What is prob of picking 4 g and 1 t?", "a": "165/6188" }, { "q": "What is prob of picking 2 j, 1 w, and 2 v when five letters picked without replacement from swvfstswjftjttvtt?", "a": "1/3094" }, { "q": "Calculate prob of picking 3 c, 1 v, and 1 z when five letters picked without replacement from vccczzzcczzz.", "a": "5/66" }, { "q": "Calculate prob of picking 2 u, 1 s, 1 i, and 1 p when five letters picked without replacement from upwsupspwpwwwiwdw.", "a": "2/1547" }, { "q": "Five letters picked without replacement from {q: 3, x: 4, p: 1}. What is prob of picking 2 x, 2 q, and 1 p?", "a": "9/28" }, { "q": "Calculate prob of picking 4 j and 1 i when five letters picked without replacement from ijjijjjiiijiii.", "a": "60/1001" }, { "q": "Calculate prob of picking 1 n and 4 p when five letters picked without replacement from {n: 3, p: 4, e: 11}.", "a": "1/2856" }, { "q": "Five letters picked without replacement from {x: 4, r: 1, e: 5, z: 3}. Give prob of picking 2 z, 1 r, and 2 e.", "a": "10/429" }, { "q": "Five letters picked without replacement from {m: 7, o: 9}. What is prob of picking 5 m?", "a": "1/208" }, { "q": "Five letters picked without replacement from lelliqqlsqqqlslllel. Give prob of picking 1 e, 1 s, and 3 l.", "a": "28/969" }, { "q": "Five letters picked without replacement from jiuizcitcziujz. Give prob of picking 2 j, 2 c, and 1 i.", "a": "2/1001" }, { "q": "Five letters picked without replacement from qbqbbqqqq. Give prob of picking 5 q.", "a": "1/21" }, { "q": "What is prob of picking 1 s, 3 k, and 1 z when five letters picked without replacement from {k: 3, z: 2, s: 12}?", "a": "6/1547" }, { "q": "Five letters picked without replacement from mjsjsjvsjvmjssb. What is prob of picking 1 m and 4 j?", "a": "10/3003" }, { "q": "Calculate prob of picking 2 g, 1 i, 1 l, and 1 b when five letters picked without replacement from {q: 1, b: 4, g: 2, i: 3, l: 2}.", "a": "1/33" }, { "q": "What is prob of picking 5 o when five letters picked without replacement from ooooddodoooddoooddod?", "a": "33/646" }, { "q": "Calculate prob of picking 1 h, 3 p, and 1 o when five letters picked without replacement from {h: 6, r: 4, o: 1, p: 4}.", "a": "8/1001" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from aaaaaaqaaaaap?", "a": "14/39" }, { "q": "Five letters picked without replacement from uuuqqqxuxquuxquuu. What is prob of picking 3 x and 2 q?", "a": "5/3094" }, { "q": "Calculate prob of picking 1 o, 2 k, 1 n, and 1 x when five letters picked without replacement from nxkomkkj.", "a": "3/56" }, { "q": "Five letters picked without replacement from pwppppqfwpplpopfpw. What is prob of picking 1 w, 1 f, 1 l, and 2 p?", "a": "15/476" }, { "q": "Five letters picked without replacement from {z: 1, n: 2, e: 11}. What is prob of picking 5 e?", "a": "3/13" }, { "q": "Five letters picked without replacement from {w: 3, s: 2, e: 3, v: 3}. Give prob of picking 1 e, 2 w, and 2 s.", "a": "3/154" }, { "q": "Five letters picked without replacement from ggqggqge. Give prob of picking 1 q and 4 g.", "a": "5/28" }, { "q": "Five letters picked without replacement from hnygnnhhhghhqh. Give prob of picking 3 n, 1 q, and 1 h.", "a": "1/286" }, { "q": "Five letters picked without replacement from {p: 2, r: 1, m: 4, d: 3, f: 1, j: 4}. What is prob of picking 3 m, 1 f, and 1 j?", "a": "16/3003" }, { "q": "Five letters picked without replacement from zwgkzzkzwkwzgzzwzzzz. Give prob of picking 1 g, 2 w, and 2 z.", "a": "55/1292" }, { "q": "What is prob of picking 1 b, 2 j, 1 d, and 1 c when five letters picked without replacement from {r: 2, m: 1, j: 3, d: 1, c: 4, b: 2}?", "a": "8/429" }, { "q": "Calculate prob of picking 1 t, 1 h, and 3 o when five letters picked without replacement from {h: 1, s: 2, v: 5, t: 2, o: 5, b: 4}.", "a": "5/2907" }, { "q": "Five letters picked without replacement from {n: 5, q: 1, w: 4, j: 2, i: 4}. What is prob of picking 1 w, 3 i, and 1 q?", "a": "1/273" }, { "q": "What is prob of picking 2 g, 1 u, and 2 c when five letters picked without replacement from {g: 7, q: 3, n: 5, u: 2, c: 2}?", "a": "7/1938" }, { "q": "Five letters picked without replacement from {h: 4, e: 1, b: 3, j: 2, q: 1}. What is prob of picking 3 h, 1 j, and 1 b?", "a": "4/77" }, { "q": "What is prob of picking 1 t, 1 u, and 3 c when five letters picked without replacement from cctcwccccwttuwc?", "a": "8/143" }, { "q": "Calculate prob of picking 1 b and 4 j when five letters picked without replacement from {w: 11, b: 1, e: 1, j: 1}.", "a": "0" }, { "q": "Five letters picked without replacement from {p: 4, m: 1, z: 7, a: 1, d: 4, y: 1}. What is prob of picking 2 z, 1 a, 1 m, and 1 p?", "a": "1/102" }, { "q": "Calculate prob of picking 1 z and 4 v when five letters picked without replacement from {z: 1, v: 8}.", "a": "5/9" }, { "q": "What is prob of picking 3 f and 2 w when five letters picked without replacement from fwfwfwffwfw?", "a": "100/231" }, { "q": "Five letters picked without replacement from ccuuciuccuccicccuc. What is prob of picking 5 c?", "a": "11/204" }, { "q": "What is prob of picking 4 r and 1 v when five letters picked without replacement from {r: 8, v: 4}?", "a": "35/99" }, { "q": "Calculate prob of picking 1 q, 2 h, 1 o, and 1 r when five letters picked without replacement from xrhohvq.", "a": "1/21" }, { "q": "What is prob of picking 1 w, 1 i, 2 x, and 1 e when five letters picked without replacement from {w: 1, x: 2, s: 1, e: 2, m: 1, i: 1}?", "a": "1/28" }, { "q": "Calculate prob of picking 2 i and 3 h when five letters picked without replacement from {i: 2, h: 3, w: 7}.", "a": "1/792" }, { "q": "Calculate prob of picking 4 z and 1 l when five letters picked without replacement from lzzzzzzzllzlllzl.", "a": "21/104" }, { "q": "Calculate prob of picking 4 c and 1 h when five letters picked without replacement from {c: 4, h: 15}.", "a": "5/3876" }, { "q": "Five letters picked without replacement from {t: 7, c: 1}. Give prob of picking 5 t.", "a": "3/8" }, { "q": "Five letters picked without replacement from {e: 9, y: 8}. Give prob of picking 3 y and 2 e.", "a": "72/221" }, { "q": "Five letters picked without replacement from ssssss. What is prob of picking 5 s?", "a": "1" }, { "q": "Five letters picked without replacement from {l: 6, k: 6}. What is prob of picking 5 k?", "a": "1/132" }, { "q": "Five letters picked without replacement from {u: 4, l: 4, w: 3, v: 3}. What is prob of picking 1 v, 3 l, and 1 u?", "a": "24/1001" }, { "q": "Five letters picked without replacement from {a: 6, j: 8}. Give prob of picking 5 a.", "a": "3/1001" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from luulluluuurrulurr?", "a": "2/221" }, { "q": "Five letters picked without replacement from aaaaavjva. Give prob of picking 2 v, 2 a, and 1 j.", "a": "5/42" }, { "q": "Calculate prob of picking 1 g, 2 e, and 2 j when five letters picked without replacement from {g: 2, j: 2, u: 5, e: 5}.", "a": "10/1001" }, { "q": "Five letters picked without replacement from {u: 3, o: 6, j: 6}. What is prob of picking 2 u, 1 j, and 2 o?", "a": "90/1001" }, { "q": "What is prob of picking 3 n and 2 p when five letters picked without replacement from nnnnnnppnnn?", "a": "2/11" }, { "q": "What is prob of picking 4 a and 1 v when five letters picked without replacement from vaaaaaaaaaaa?", "a": "5/12" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from bbddbbbdbb?", "a": "1/12" }, { "q": "What is prob of picking 1 o, 1 y, and 3 w when five letters picked without replacement from wbabwywoabaassa?", "a": "1/3003" }, { "q": "Five letters picked without replacement from {r: 2, v: 8}. Give prob of picking 1 r and 4 v.", "a": "5/9" }, { "q": "Calculate prob of picking 2 i, 1 l, and 2 t when five letters picked without replacement from pnlittlitlniillill.", "a": "5/204" }, { "q": "Calculate prob of picking 3 n and 2 t when five letters picked without replacement from {n: 6, t: 4, f: 2, u: 4}.", "a": "5/182" }, { "q": "Five letters picked without replacement from wwwpwwppw. Give prob of picking 3 p and 2 w.", "a": "5/42" }, { "q": "Five letters picked without replacement from {a: 11, v: 1, c: 3}. What is prob of picking 2 a and 3 c?", "a": "5/273" }, { "q": "What is prob of picking 2 z, 2 x, and 1 b when five letters picked without replacement from bzbzbbkxbkxk?", "a": "5/792" }, { "q": "Five letters picked without replacement from {y: 1, n: 6, s: 2, g: 7, p: 3}. What is prob of picking 1 y, 2 n, 1 p, and 1 g?", "a": "35/1292" }, { "q": "Calculate prob of picking 2 o and 3 a when five letters picked without replacement from {c: 2, q: 1, a: 3, h: 3, s: 1, o: 2}.", "a": "1/792" }, { "q": "What is prob of picking 2 a, 1 t, 1 h, and 1 j when five letters picked without replacement from ntjjanthihanit?", "a": "6/1001" }, { "q": "Calculate prob of picking 2 f, 2 b, and 1 p when five letters picked without replacement from {b: 3, p: 11, f: 2}.", "a": "11/1456" }, { "q": "What is prob of picking 2 c, 2 w, and 1 x when five letters picked without replacement from {o: 1, x: 5, c: 9, z: 3, w: 2}?", "a": "15/1292" }, { "q": "Five letters picked without replacement from ccwpwcwcpwccwwwwp. Give prob of picking 5 c.", "a": "3/3094" }, { "q": "What is prob of picking 1 a, 3 v, and 1 w when five letters picked without replacement from {t: 2, a: 3, w: 2, v: 13}?", "a": "143/1292" }, { "q": "What is prob of picking 3 q and 2 h when five letters picked without replacement from {h: 3, d: 5, q: 4}?", "a": "1/66" }, { "q": "Five letters picked without replacement from exeiixxiiieixxiiiiix. What is prob of picking 2 i and 3 x?", "a": "275/3876" }, { "q": "Five letters picked without replacement from {j: 5, s: 15}. Give prob of picking 3 s and 2 j.", "a": "2275/7752" }, { "q": "Calculate prob of picking 2 f, 1 q, and 2 l when five letters picked without replacement from qfaffqfwnfnlaaanaqal.", "a": "5/2584" }, { "q": "Five letters picked without replacement from {i: 8, w: 8, g: 2}. What is prob of picking 5 w?", "a": "1/153" }, { "q": "Five letters picked without replacement from {p: 4, f: 1, u: 9, t: 3}. What is prob of picking 1 t, 1 f, and 3 p?", "a": "3/1547" }, { "q": "Five letters picked without replacement from {m: 5, z: 4}. Give prob of picking 2 m and 3 z.", "a": "20/63" }, { "q": "What is prob of picking 3 o and 2 y when five letters picked without replacement from {o: 8, y: 11}?", "a": "770/2907" }, { "q": "Five letters picked without replacement from cddccc. Give prob of picking 2 d and 3 c.", "a": "2/3" }, { "q": "Five letters picked without replacement from {e: 2, r: 1, o: 7, f: 6, x: 2, z: 1}. What is prob of picking 1 z, 1 e, and 3 o?", "a": "35/5814" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {k: 3, p: 6}.", "a": "1/21" }, { "q": "Calculate prob of picking 1 c, 2 i, and 2 s when five letters picked without replacement from ssicsscycsiask.", "a": "45/2002" }, { "q": "Five letters picked without replacement from jjgjyjyjgzjjjzz. What is prob of picking 3 j, 1 z, and 1 y?", "a": "16/143" }, { "q": "Five letters picked without replacement from {s: 6, a: 6}. Give prob of picking 1 a and 4 s.", "a": "5/44" }, { "q": "Calculate prob of picking 3 z and 2 d when five letters picked without replacement from {d: 2, z: 7}.", "a": "5/18" }, { "q": "Five letters picked without replacement from {l: 11, c: 7, u: 2}. Give prob of picking 1 u, 2 c, and 2 l.", "a": "385/2584" }, { "q": "Five letters picked without replacement from vvvvpvvvvvvvzvvvvvv. What is prob of picking 5 v?", "a": "91/171" }, { "q": "Calculate prob of picking 3 c and 2 o when five letters picked without replacement from {c: 13, o: 4}.", "a": "33/119" }, { "q": "Five letters picked without replacement from jajjaaaj. What is prob of picking 4 j and 1 a?", "a": "1/14" }, { "q": "Calculate prob of picking 3 t and 2 v when five letters picked without replacement from {e: 4, v: 7, t: 5}.", "a": "5/104" }, { "q": "Five letters picked without replacement from {u: 16, b: 3}. What is prob of picking 2 b and 3 u?", "a": "140/969" }, { "q": "Five letters picked without replacement from {k: 8, a: 1}. What is prob of picking 5 k?", "a": "4/9" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from eeeeeaegeaei.", "a": "7/99" }, { "q": "What is prob of picking 2 w and 3 d when five letters picked without replacement from dldlllwlwlwdllldldld?", "a": "5/1292" }, { "q": "What is prob of picking 2 y, 2 k, and 1 d when five letters picked without replacement from yxkkkkykkkxdkkykhk?", "a": "55/2856" }, { "q": "Calculate prob of picking 3 p and 2 a when five letters picked without replacement from {p: 10, a: 2, n: 1}.", "a": "40/429" }, { "q": "What is prob of picking 2 k, 1 z, and 2 p when five letters picked without replacement from {q: 3, k: 5, z: 3, l: 2, p: 3}?", "a": "15/728" }, { "q": "What is prob of picking 1 p and 4 u when five letters picked without replacement from uuuutpu?", "a": "5/21" }, { "q": "Calculate prob of picking 1 h and 4 z when five letters picked without replacement from {h: 8, z: 8, v: 4}.", "a": "35/969" }, { "q": "Five letters picked without replacement from {f: 4, i: 4, s: 7, a: 1}. Give prob of picking 2 f and 3 i.", "a": "1/182" }, { "q": "Calculate prob of picking 5 c when five letters picked without replacement from {g: 5, c: 8}.", "a": "56/1287" }, { "q": "Calculate prob of picking 1 p, 2 r, 1 t, and 1 j when five letters picked without replacement from rttjptpzjtszrjrtjjs.", "a": "25/1938" }, { "q": "What is prob of picking 2 r and 3 b when five letters picked without replacement from {l: 3, b: 4, r: 3, e: 7}?", "a": "3/1547" }, { "q": "Five letters picked without replacement from {g: 4, j: 1, y: 1}. Give prob of picking 4 g and 1 j.", "a": "1/6" }, { "q": "Five letters picked without replacement from ktttotototooveoyetkt. Give prob of picking 1 t, 1 o, 2 e, and 1 y.", "a": "1/323" }, { "q": "What is prob of picking 1 m and 4 u when five letters picked without replacement from {m: 3, l: 6, a: 5, u: 6}?", "a": "15/5168" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from {e: 7, a: 5}?", "a": "1/792" }, { "q": "What is prob of picking 1 t, 1 r, and 3 e when five letters picked without replacement from eextre?", "a": "1/6" }, { "q": "What is prob of picking 3 i and 2 m when five letters picked without replacement from {a: 1, y: 1, s: 5, i: 5, w: 2, m: 2}?", "a": "5/2184" }, { "q": "Calculate prob of picking 1 h and 4 f when five letters picked without replacement from tfthttftffcf.", "a": "5/792" }, { "q": "Five letters picked without replacement from {w: 2, d: 2, f: 2, l: 8, e: 4}. What is prob of picking 2 l, 1 f, 1 e, and 1 w?", "a": "8/153" }, { "q": "Calculate prob of picking 1 t, 1 z, and 3 e when five letters picked without replacement from btzttfebebbet.", "a": "4/1287" }, { "q": "Five letters picked without replacement from lolloloollllooolloll. Give prob of picking 2 l and 3 o.", "a": "77/323" }, { "q": "Five letters picked without replacement from hhhhhbbhfbfbhhfhhhhh. Give prob of picking 1 h, 1 f, and 3 b.", "a": "13/1292" }, { "q": "Five letters picked without replacement from iiuvvoovrvkkvkouvov. What is prob of picking 4 v and 1 k?", "a": "35/3876" }, { "q": "What is prob of picking 1 a, 1 h, and 3 l when five letters picked without replacement from alaalhlhhll?", "a": "15/77" }, { "q": "Calculate prob of picking 4 t and 1 k when five letters picked without replacement from kttktfkkktfkkkkkkt.", "a": "55/8568" }, { "q": "Five letters picked without replacement from {o: 4, q: 2, j: 2, e: 3, z: 1}. Give prob of picking 1 o, 1 e, 2 q, and 1 z.", "a": "1/66" }, { "q": "What is prob of picking 1 n, 3 d, and 1 t when five letters picked without replacement from {s: 1, n: 4, h: 1, d: 4, t: 4}?", "a": "32/1001" }, { "q": "Five letters picked without replacement from {m: 1, j: 15}. What is prob of picking 5 j?", "a": "11/16" }, { "q": "Five letters picked without replacement from {p: 15, z: 5}. Give prob of picking 3 p and 2 z.", "a": "2275/7752" }, { "q": "Calculate prob of picking 3 l and 2 a when five letters picked without replacement from lalaalllllllllla.", "a": "55/182" }, { "q": "Five letters picked without replacement from cbccoccccccc. What is prob of picking 1 b, 3 c, and 1 o?", "a": "5/33" }, { "q": "Five letters picked without replacement from jyujyyykyyyyczuc. Give prob of picking 1 u, 2 j, 1 y, and 1 k.", "a": "1/273" }, { "q": "Five letters picked without replacement from {k: 2, x: 5, b: 2, c: 2, n: 1, v: 6}. Give prob of picking 1 c, 3 v, and 1 k.", "a": "10/1071" }, { "q": "What is prob of picking 1 p, 2 u, and 2 a when five letters picked without replacement from {p: 1, z: 2, u: 4, a: 8}?", "a": "8/143" }, { "q": "What is prob of picking 1 s, 1 p, 1 q, and 2 e when five letters picked without replacement from {q: 4, s: 3, e: 4, p: 1}?", "a": "1/11" }, { "q": "What is prob of picking 1 t, 1 x, 2 n, and 1 a when five letters picked without replacement from {n: 4, a: 6, x: 4, t: 4}?", "a": "8/119" }, { "q": "What is prob of picking 1 z, 2 t, 1 j, and 1 a when five letters picked without replacement from ezssstejeaetseeeeej?", "a": "1/5814" }, { "q": "What is prob of picking 3 p, 1 u, and 1 x when five letters picked without replacement from {p: 4, u: 13, x: 1}?", "a": "13/2142" }, { "q": "Five letters picked without replacement from {f: 1, y: 1, t: 1, o: 3, h: 2, x: 1}. Give prob of picking 3 o and 2 h.", "a": "1/126" }, { "q": "Five letters picked without replacement from tektttuuuuutt. What is prob of picking 5 t?", "a": "2/429" }, { "q": "Calculate prob of picking 2 u and 3 y when five letters picked without replacement from muyukuykuuykukm.", "a": "5/1001" }, { "q": "Five letters picked without replacement from zhhhhzhhhhhhhzh. What is prob of picking 3 h and 2 z?", "a": "20/91" }, { "q": "What is prob of picking 5 h when five letters picked without replacement from jhjjjhjjhhhjhjjjjhj?", "a": "7/3876" }, { "q": "What is prob of picking 4 f and 1 w when five letters picked without replacement from {w: 9, f: 6, e: 1}?", "a": "45/1456" }, { "q": "What is prob of picking 2 v, 1 x, 1 w, and 1 e when five letters picked without replacement from vxxxvxwevvvvxxxe?", "a": "5/104" }, { "q": "Five letters picked without replacement from hjjjjhjjjjjjjjyjjjj. Give prob of picking 1 h and 4 j.", "a": "910/2907" }, { "q": "Five letters picked without replacement from {f: 2, b: 2, t: 3, j: 1, l: 2, g: 9}. What is prob of picking 1 t, 2 b, 1 l, and 1 f?", "a": "1/969" }, { "q": "Calculate prob of picking 2 m and 3 e when five letters picked without replacement from eeemmmsmemeeseees.", "a": "30/221" }, { "q": "What is prob of picking 1 g, 2 r, 1 i, and 1 t when five letters picked without replacement from {t: 1, l: 1, i: 1, g: 1, r: 2, j: 3}?", "a": "1/126" }, { "q": "Five letters picked without replacement from {p: 13, s: 7}. What is prob of picking 5 s?", "a": "7/5168" }, { "q": "What is prob of picking 1 a, 2 e, 1 r, and 1 l when five letters picked without replacement from {r: 3, e: 4, l: 6, y: 6, a: 1}?", "a": "9/1292" }, { "q": "Five letters picked without replacement from {f: 9, j: 9}. Give prob of picking 5 f.", "a": "1/68" }, { "q": "Five letters picked without replacement from {x: 1, c: 5, v: 6, j: 7}. Give prob of picking 1 x, 1 c, and 3 j.", "a": "175/11628" }, { "q": "Five letters picked without replacement from {u: 1, t: 5, b: 5, m: 9}. What is prob of picking 2 t, 2 m, and 1 u?", "a": "15/646" }, { "q": "Five letters picked without replacement from appkwaappapwapwsp. What is prob of picking 2 a and 3 p?", "a": "25/442" }, { "q": "Five letters picked without replacement from {a: 3, n: 6, x: 4, o: 2, p: 2}. Give prob of picking 1 n and 4 x.", "a": "3/3094" }, { "q": "What is prob of picking 2 z, 1 e, 1 s, and 1 y when five letters picked without replacement from {l: 1, z: 3, y: 1, s: 2, e: 1}?", "a": "3/28" }, { "q": "What is prob of picking 2 e and 3 r when five letters picked without replacement from {e: 8, r: 6}?", "a": "40/143" }, { "q": "What is prob of picking 1 c, 2 x, and 2 r when five letters picked without replacement from {r: 4, v: 2, g: 1, x: 2, u: 2, c: 2}?", "a": "4/429" }, { "q": "Calculate prob of picking 2 o and 3 q when five letters picked without replacement from {q: 11, o: 4}.", "a": "30/91" }, { "q": "What is prob of picking 3 x and 2 m when five letters picked without replacement from mxxxmxmmxxxmxxxxmm?", "a": "55/136" }, { "q": "Calculate prob of picking 2 t, 2 k, and 1 l when five letters picked without replacement from {k: 9, l: 2, t: 5}.", "a": "15/91" }, { "q": "What is prob of picking 1 r and 4 u when five letters picked without replacement from uruuuuruu?", "a": "5/9" }, { "q": "Five letters picked without replacement from {i: 4, c: 6, h: 4, b: 2}. Give prob of picking 3 c, 1 b, and 1 i.", "a": "10/273" }, { "q": "Five letters picked without replacement from {l: 4, e: 1, y: 2, f: 3}. What is prob of picking 2 l, 2 f, and 1 e?", "a": "1/14" }, { "q": "Five letters picked without replacement from qmqmqt. What is prob of picking 4 q and 1 t?", "a": "0" }, { "q": "Five letters picked without replacement from {x: 9, e: 1, j: 2, v: 8}. Give prob of picking 2 v, 1 j, 1 x, and 1 e.", "a": "21/646" }, { "q": "What is prob of picking 1 u and 4 y when five letters picked without replacement from yyyyyuuyuyy?", "a": "5/11" }, { "q": "Five letters picked without replacement from yaanaannynannna. What is prob of picking 2 n and 3 y?", "a": "0" }, { "q": "What is prob of picking 1 z, 2 p, 1 c, and 1 h when five letters picked without replacement from pzprchfpfprp?", "a": "5/396" }, { "q": "Calculate prob of picking 3 b, 1 k, and 1 y when five letters picked without replacement from {b: 16, y: 1, k: 1}.", "a": "10/153" }, { "q": "Calculate prob of picking 4 c and 1 r when five letters picked without replacement from ccrcccn.", "a": "5/21" }, { "q": "What is prob of picking 2 v, 2 i, and 1 p when five letters picked without replacement from {p: 1, c: 1, x: 2, i: 6, v: 2}?", "a": "5/264" }, { "q": "Five letters picked without replacement from {k: 3, o: 8, b: 1, j: 1, w: 5}. What is prob of picking 2 o, 1 b, 1 k, and 1 j?", "a": "1/102" }, { "q": "What is prob of picking 2 u and 3 d when five letters picked without replacement from {d: 6, j: 2, u: 6}?", "a": "150/1001" }, { "q": "What is prob of picking 4 d and 1 w when five letters picked without replacement from {d: 4, w: 11}?", "a": "1/273" }, { "q": "Five letters picked without replacement from rfffffrf. What is prob of picking 3 f and 2 r?", "a": "5/14" }, { "q": "What is prob of picking 5 z when five letters picked without replacement from {m: 4, a: 3, l: 1, z: 6}?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {i: 5, t: 3, e: 12}. Give prob of picking 1 e, 2 i, and 2 t.", "a": "15/646" }, { "q": "What is prob of picking 4 d and 1 y when five letters picked without replacement from {r: 3, d: 5, y: 2}?", "a": "5/126" }, { "q": "What is prob of picking 2 x and 3 y when five letters picked without replacement from {x: 11, y: 4}?", "a": "20/273" }, { "q": "Five letters picked without replacement from {k: 9, s: 5}. Give prob of picking 2 s and 3 k.", "a": "60/143" }, { "q": "Calculate prob of picking 2 w and 3 b when five letters picked without replacement from hwbbkbbw.", "a": "1/14" }, { "q": "What is prob of picking 1 k, 1 l, and 3 v when five letters picked without replacement from {k: 1, v: 8, l: 1}?", "a": "2/9" }, { "q": "Calculate prob of picking 4 n and 1 e when five letters picked without replacement from {t: 2, n: 9, e: 4}.", "a": "24/143" }, { "q": "What is prob of picking 1 n, 1 l, 1 z, 1 a, and 1 j when five letters picked without replacement from zszzssnsasnzssjlsls?", "a": "4/2907" }, { "q": "Calculate prob of picking 1 o, 1 l, 2 d, and 1 h when five letters picked without replacement from ollodlhdll.", "a": "5/126" }, { "q": "What is prob of picking 1 a, 1 f, and 3 x when five letters picked without replacement from {c: 1, u: 2, f: 3, r: 10, a: 1, x: 3}?", "a": "1/5168" }, { "q": "Calculate prob of picking 4 b and 1 u when five letters picked without replacement from ubbbbbuuu.", "a": "10/63" }, { "q": "What is prob of picking 5 p when five letters picked without replacement from pooopppoooooopzop?", "a": "3/3094" }, { "q": "What is prob of picking 1 g, 2 e, and 2 c when five letters picked without replacement from {p: 2, y: 1, e: 2, c: 5, g: 1}?", "a": "5/231" }, { "q": "Calculate prob of picking 1 f and 4 g when five letters picked without replacement from gggggfghggf.", "a": "10/33" }, { "q": "Calculate prob of picking 3 l and 2 y when five letters picked without replacement from {l: 3, g: 6, y: 2, r: 1}.", "a": "1/792" }, { "q": "Five letters picked without replacement from hhwwhhwhw. What is prob of picking 3 h and 2 w?", "a": "10/21" }, { "q": "Calculate prob of picking 1 t, 1 b, and 3 k when five letters picked without replacement from {i: 12, b: 1, t: 2, k: 3}.", "a": "1/4284" }, { "q": "Five letters picked without replacement from {z: 3, f: 4, c: 1, o: 4, i: 1, k: 3}. What is prob of picking 4 o and 1 k?", "a": "1/1456" }, { "q": "Five letters picked without replacement from lwwwllwwwllwjwjwllj. What is prob of picking 3 w, 1 l, and 1 j?", "a": "49/323" }, { "q": "Five letters picked without replacement from rttvbvvtthtvstssvssv. What is prob of picking 1 r, 1 h, 1 b, and 2 v?", "a": "5/5168" }, { "q": "Calculate prob of picking 4 m and 1 f when five letters picked without replacement from fuufzzjzjzjmzjzfzzz.", "a": "0" }, { "q": "Five letters picked without replacement from {x: 2, r: 5, h: 1, y: 4}. Give prob of picking 1 r, 2 x, and 2 y.", "a": "5/132" }, { "q": "Calculate prob of picking 1 z, 1 v, 2 b, and 1 n when five letters picked without replacement from vhznznzvbzbvhzvvz.", "a": "15/1547" }, { "q": "Five letters picked without replacement from bbbbbbbkbkkbbbbkbbb. Give prob of picking 3 k and 2 b.", "a": "35/969" }, { "q": "Five letters picked without replacement from {m: 5, n: 3, u: 3}. What is prob of picking 2 m and 3 n?", "a": "5/231" }, { "q": "What is prob of picking 1 b, 1 z, 1 t, 1 d, and 1 c when five letters picked without replacement from ckbcdkkzt?", "a": "1/63" }, { "q": "What is prob of picking 1 x, 1 i, 1 r, 1 q, and 1 z when five letters picked without replacement from xgrzqxqzizz?", "a": "8/231" }, { "q": "What is prob of picking 1 j, 2 v, and 2 w when five letters picked without replacement from jwwvjvjjwvvjwwjjjvj?", "a": "25/323" }, { "q": "Five letters picked without replacement from {o: 5, n: 9, u: 3}. Give prob of picking 4 o and 1 n.", "a": "45/6188" }, { "q": "Five letters picked without replacement from ltlttxxrlttl. What is prob of picking 1 x and 4 l?", "a": "1/396" }, { "q": "Five letters picked without replacement from {h: 5, n: 2}. Give prob of picking 1 n and 4 h.", "a": "10/21" }, { "q": "What is prob of picking 3 d and 2 u when five letters picked without replacement from {m: 1, b: 5, u: 3, d: 4, o: 2}?", "a": "4/1001" }, { "q": "Calculate prob of picking 3 k, 1 n, and 1 m when five letters picked without replacement from klmlmkknlcckllmkkc.", "a": "5/714" }, { "q": "Five letters picked without replacement from mmcmmmmmcmcmmcm. Give prob of picking 1 m and 4 c.", "a": "1/273" }, { "q": "Calculate prob of picking 3 x and 2 c when five letters picked without replacement from {c: 5, m: 1, x: 11}.", "a": "825/3094" }, { "q": "Five letters picked without replacement from {t: 12, i: 6}. What is prob of picking 3 i and 2 t?", "a": "55/357" }, { "q": "Five letters picked without replacement from rrwmrrrwm. What is prob of picking 2 w, 2 r, and 1 m?", "a": "10/63" }, { "q": "Five letters picked without replacement from {y: 9, b: 2, m: 7}. What is prob of picking 1 m and 4 y?", "a": "7/68" }, { "q": "Calculate prob of picking 1 r, 3 d, and 1 g when five letters picked without replacement from ddgrgrrrrdd.", "a": "20/231" }, { "q": "What is prob of picking 1 z, 1 x, and 3 r when five letters picked without replacement from {x: 2, a: 2, r: 3, z: 5}?", "a": "5/396" }, { "q": "Five letters picked without replacement from {w: 3, k: 1, p: 3, j: 1, z: 2}. Give prob of picking 1 k, 2 p, and 2 w.", "a": "1/28" }, { "q": "Calculate prob of picking 2 f and 3 r when five letters picked without replacement from {t: 3, f: 2, r: 3, s: 1}.", "a": "1/126" }, { "q": "Five letters picked without replacement from {p: 9, c: 5, k: 5}. What is prob of picking 1 c, 1 p, and 3 k?", "a": "25/646" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from {d: 8, c: 12}?", "a": "7/1938" }, { "q": "Five letters picked without replacement from rjrrrrj. What is prob of picking 1 j and 4 r?", "a": "10/21" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from eeeeaee.", "a": "2/7" }, { "q": "Five letters picked without replacement from eeeaaeeeeeeee. Give prob of picking 1 a and 4 e.", "a": "20/39" }, { "q": "Five letters picked without replacement from {p: 13, a: 3}. What is prob of picking 3 p and 2 a?", "a": "11/56" }, { "q": "What is prob of picking 4 f and 1 j when five letters picked without replacement from fjfjffjjfjffffffjj?", "a": "55/204" }, { "q": "Calculate prob of picking 3 t, 1 s, and 1 e when five letters picked without replacement from tttstssetse.", "a": "40/231" }, { "q": "Calculate prob of picking 3 f and 2 i when five letters picked without replacement from {j: 5, i: 5, f: 3}.", "a": "10/1287" }, { "q": "What is prob of picking 1 g, 1 z, 2 x, and 1 i when five letters picked without replacement from {i: 4, g: 1, x: 3, z: 1}?", "a": "2/21" }, { "q": "Five letters picked without replacement from meeeeehvt. What is prob of picking 1 h, 1 v, and 3 e?", "a": "5/63" }, { "q": "What is prob of picking 2 h, 1 m, and 2 j when five letters picked without replacement from {h: 4, m: 8, j: 2}?", "a": "24/1001" }, { "q": "Calculate prob of picking 5 e when five letters picked without replacement from evevveeeveveveevve.", "a": "1/34" }, { "q": "Five letters picked without replacement from {e: 2, g: 4, m: 5, x: 4}. Give prob of picking 2 e, 1 x, 1 m, and 1 g.", "a": "80/3003" }, { "q": "Five letters picked without replacement from xcccccxcccxxxcc. Give prob of picking 4 c and 1 x.", "a": "50/143" }, { "q": "What is prob of picking 5 a when five letters picked without replacement from zaazzazaazzazz?", "a": "3/1001" }, { "q": "Five letters picked without replacement from {t: 2, w: 3, u: 1, s: 8, h: 4}. What is prob of picking 1 t and 4 s?", "a": "5/306" }, { "q": "Calculate prob of picking 1 f, 3 l, and 1 e when five letters picked without replacement from ffeaflleleefllflaa.", "a": "50/1071" }, { "q": "Five letters picked without replacement from ioifiiioifoiioiifio. Give prob of picking 1 i and 4 o.", "a": "55/11628" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from {t: 1, y: 15}?", "a": "11/16" }, { "q": "What is prob of picking 3 h and 2 q when five letters picked without replacement from qqhqhqhqqqzhzqhqq?", "a": "225/3094" }, { "q": "Calculate prob of picking 2 g and 3 f when five letters picked without replacement from gvofvfblffovgfvl.", "a": "5/2184" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from dsssdsddssssssdsssd.", "a": "143/1292" }, { "q": "Five letters picked without replacement from {k: 5, g: 1, z: 2, u: 1, d: 2, c: 2}. What is prob of picking 3 k, 1 c, and 1 u?", "a": "20/1287" }, { "q": "Five letters picked without replacement from {r: 2, c: 4, k: 6, w: 4, l: 2}. What is prob of picking 1 w, 2 l, 1 r, and 1 k?", "a": "2/357" }, { "q": "Five letters picked without replacement from {o: 3, j: 2, n: 2, y: 1}. What is prob of picking 2 n, 1 j, 1 o, and 1 y?", "a": "3/28" }, { "q": "Calculate prob of picking 5 l when five letters picked without replacement from {l: 6}.", "a": "1" }, { "q": "Five letters picked without replacement from {d: 3, e: 3, a: 1, n: 9}. What is prob of picking 2 a, 1 d, and 2 n?", "a": "0" }, { "q": "What is prob of picking 1 v, 2 z, and 2 y when five letters picked without replacement from {b: 1, p: 1, v: 3, a: 1, z: 5, y: 2}?", "a": "10/429" }, { "q": "Calculate prob of picking 4 m and 1 y when five letters picked without replacement from {y: 5, m: 4}.", "a": "5/126" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from jjjjjtjj?", "a": "3/8" }, { "q": "What is prob of picking 1 h, 2 t, and 2 f when five letters picked without replacement from sfsfhsfsssstttsssth?", "a": "1/323" }, { "q": "Five letters picked without replacement from {b: 5, i: 9, x: 4}. Give prob of picking 1 i, 2 x, and 2 b.", "a": "15/238" }, { "q": "Five letters picked without replacement from {u: 6, m: 2, w: 3, f: 2, h: 3, g: 2}. Give prob of picking 2 u, 2 f, and 1 h.", "a": "5/952" }, { "q": "Five letters picked without replacement from {k: 6, r: 1, y: 1}. What is prob of picking 1 r and 4 k?", "a": "15/56" }, { "q": "Five letters picked without replacement from kkfvkkvuudkuuvc. What is prob of picking 1 u, 3 v, and 1 d?", "a": "4/3003" }, { "q": "Five letters picked without replacement from wkwwhk. What is prob of picking 3 w and 2 k?", "a": "1/6" }, { "q": "Calculate prob of picking 3 h and 2 d when five letters picked without replacement from {h: 3, d: 14}.", "a": "1/68" }, { "q": "Five letters picked without replacement from grppeeefgcg. What is prob of picking 1 p, 1 f, 1 r, and 2 g?", "a": "1/77" }, { "q": "Five letters picked without replacement from {n: 2, i: 3, b: 10}. What is prob of picking 2 n and 3 i?", "a": "1/3003" }, { "q": "Five letters picked without replacement from {b: 12, z: 3}. What is prob of picking 3 z and 2 b?", "a": "2/91" }, { "q": "Five letters picked without replacement from {q: 3, d: 4}. What is prob of picking 2 d and 3 q?", "a": "2/7" }, { "q": "Five letters picked without replacement from uuleuuuuulluoule. Give prob of picking 3 u, 1 e, and 1 o.", "a": "1/26" }, { "q": "Calculate prob of picking 3 y and 2 q when five letters picked without replacement from yzqzzyzz.", "a": "0" }, { "q": "Five letters picked without replacement from {h: 5, j: 7, v: 3, k: 1}. What is prob of picking 1 k and 4 j?", "a": "5/624" }, { "q": "Five letters picked without replacement from wiuuuuuwm. What is prob of picking 1 w and 4 u?", "a": "5/63" }, { "q": "Five letters picked without replacement from ggppplpplgp. What is prob of picking 3 g and 2 l?", "a": "1/462" }, { "q": "What is prob of picking 5 v when five letters picked without replacement from {v: 10, i: 1, p: 1, s: 5}?", "a": "9/221" }, { "q": "Five letters picked without replacement from {z: 8, m: 4}. Give prob of picking 4 m and 1 z.", "a": "1/99" }, { "q": "Five letters picked without replacement from {u: 1, d: 4, h: 3, b: 2, j: 3}. Give prob of picking 2 j, 1 d, 1 b, and 1 u.", "a": "8/429" }, { "q": "Five letters picked without replacement from {z: 9, m: 3}. What is prob of picking 2 z and 3 m?", "a": "1/22" }, { "q": "Five letters picked without replacement from uuuuuiuuurriuirr. What is prob of picking 2 i, 1 u, and 2 r?", "a": "27/728" }, { "q": "Five letters picked without replacement from {w: 3, j: 2, p: 1, o: 4, t: 1, x: 1}. What is prob of picking 2 o, 1 t, 1 p, and 1 x?", "a": "1/132" }, { "q": "Five letters picked without replacement from kaoawkoodoaoooaaogwa. Give prob of picking 1 w and 4 a.", "a": "5/2584" }, { "q": "What is prob of picking 4 a and 1 e when five letters picked without replacement from {w: 1, v: 1, a: 2, t: 1, e: 1, q: 2}?", "a": "0" }, { "q": "What is prob of picking 1 w and 4 z when five letters picked without replacement from wwzwzzwwwwzwwwwwz?", "a": "15/1547" }, { "q": "Five letters picked without replacement from tiyhlyri. Give prob of picking 1 h, 2 t, and 2 y.", "a": "0" }, { "q": "Five letters picked without replacement from vbbbhhhbqpzv. What is prob of picking 1 v, 1 q, 1 b, 1 p, and 1 z?", "a": "1/99" }, { "q": "What is prob of picking 1 g, 1 x, and 3 b when five letters picked without replacement from bjxbbgxxxjxjxbgm?", "a": "1/91" }, { "q": "Five letters picked without replacement from kkkkkkkk. What is prob of picking 5 k?", "a": "1" }, { "q": "Five letters picked without replacement from sssasvvvvssvv. What is prob of picking 4 v and 1 s?", "a": "10/143" }, { "q": "Five letters picked without replacement from {k: 2, e: 1, t: 1, c: 14}. What is prob of picking 1 e, 2 k, 1 t, and 1 c?", "a": "1/612" }, { "q": "What is prob of picking 3 j, 1 y, and 1 m when five letters picked without replacement from ggjyyymwjjjmwgwcjmw?", "a": "5/646" }, { "q": "Calculate prob of picking 2 r and 3 o when five letters picked without replacement from uolrchl.", "a": "0" }, { "q": "What is prob of picking 1 t and 4 d when five letters picked without replacement from vzzzldtnzddtzzzdd?", "a": "5/3094" }, { "q": "Five letters picked without replacement from ttxmxtttxxxtxxxxxttx. What is prob of picking 1 m, 3 x, and 1 t?", "a": "55/646" }, { "q": "Five letters picked without replacement from {j: 8, b: 3, f: 1}. Give prob of picking 4 j and 1 f.", "a": "35/396" }, { "q": "Calculate prob of picking 1 n and 4 s when five letters picked without replacement from eeesspjeennnnne.", "a": "0" }, { "q": "Calculate prob of picking 1 j, 3 q, and 1 l when five letters picked without replacement from {l: 3, j: 7, q: 3}.", "a": "7/429" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from {j: 6, e: 4, l: 8}.", "a": "1/1428" }, { "q": "What is prob of picking 2 q, 1 s, 1 m, and 1 w when five letters picked without replacement from {w: 1, s: 5, q: 3, m: 2}?", "a": "5/77" }, { "q": "Five letters picked without replacement from wtvbwoowwwvboowtwtww. Give prob of picking 1 o, 2 w, and 2 b.", "a": "3/323" }, { "q": "Five letters picked without replacement from mwnbbuwwnwwnbpbnpp. What is prob of picking 1 w, 1 b, 1 n, and 2 p?", "a": "10/357" }, { "q": "Five letters picked without replacement from {y: 3, d: 2, n: 2, m: 2, g: 2}. Give prob of picking 2 n and 3 y.", "a": "1/462" }, { "q": "What is prob of picking 3 h and 2 i when five letters picked without replacement from hihhihihiiihiiiiiih?", "a": "385/1938" }, { "q": "What is prob of picking 5 e when five letters picked without replacement from {q: 5, e: 8}?", "a": "56/1287" }, { "q": "What is prob of picking 1 x, 3 f, and 1 i when five letters picked without replacement from {i: 10, r: 1, f: 3, x: 3}?", "a": "15/3094" }, { "q": "Calculate prob of picking 3 l, 1 j, and 1 b when five letters picked without replacement from jjjjlljjnlbnj.", "a": "7/1287" }, { "q": "Five letters picked without replacement from {j: 2, d: 3, e: 5, r: 4}. What is prob of picking 3 e and 2 j?", "a": "5/1001" }, { "q": "What is prob of picking 2 e and 3 b when five letters picked without replacement from ebbebebeb?", "a": "10/21" }, { "q": "Calculate prob of picking 1 g, 1 p, and 3 a when five letters picked without replacement from aeaplpgegeeepeenaee.", "a": "1/1938" }, { "q": "Five letters picked without replacement from bdcrbddddrrcdccdc. Give prob of picking 1 r and 4 d.", "a": "15/884" }, { "q": "Five letters picked without replacement from {r: 9}. Give prob of picking 5 r.", "a": "1" }, { "q": "Five letters picked without replacement from {i: 4, j: 6}. What is prob of picking 5 j?", "a": "1/42" }, { "q": "Calculate prob of picking 4 s and 1 a when five letters picked without replacement from avvsvesaeesesasas.", "a": "15/1547" }, { "q": "Five letters picked without replacement from vsvsvsssvss. Give prob of picking 3 v and 2 s.", "a": "2/11" }, { "q": "Five letters picked without replacement from ffffffewfoefwefffsf. Give prob of picking 1 w, 3 e, and 1 f.", "a": "2/969" }, { "q": "Five letters picked without replacement from yuyppyuppupuypy. Give prob of picking 4 u and 1 y.", "a": "5/3003" }, { "q": "Five letters picked without replacement from {v: 2, e: 1, m: 1, u: 4}. What is prob of picking 4 u and 1 e?", "a": "1/56" }, { "q": "What is prob of picking 3 c and 2 h when five letters picked without replacement from {c: 6, h: 3}?", "a": "10/21" }, { "q": "What is prob of picking 3 u and 2 m when five letters picked without replacement from uumuuummuuuuu?", "a": "40/143" }, { "q": "What is prob of picking 1 e and 4 w when five letters picked without replacement from twwwwewwwwwwwww?", "a": "5/21" }, { "q": "Five letters picked without replacement from vqfqvfyqquuvuv. Give prob of picking 2 q, 1 v, and 2 f.", "a": "12/1001" }, { "q": "Five letters picked without replacement from {u: 8, e: 2, j: 6, m: 3}. Give prob of picking 2 j and 3 u.", "a": "70/969" }, { "q": "Five letters picked without replacement from {n: 7, y: 3, h: 1}. Give prob of picking 5 n.", "a": "1/22" }, { "q": "Five letters picked without replacement from {r: 7, g: 3, c: 7}. Give prob of picking 4 r and 1 g.", "a": "15/884" }, { "q": "Calculate prob of picking 2 y, 1 u, and 2 k when five letters picked without replacement from {k: 6, y: 4, u: 8}.", "a": "10/119" }, { "q": "Calculate prob of picking 1 w, 1 m, 2 c, and 1 t when five letters picked without replacement from ctmppwmcwptmwmmtmc.", "a": "9/476" }, { "q": "Five letters picked without replacement from ppmpmvpdpmdmpdpdp. What is prob of picking 1 m, 3 d, and 1 p?", "a": "32/1547" }, { "q": "Calculate prob of picking 1 f, 3 y, and 1 k when five letters picked without replacement from {y: 5, w: 1, k: 8, f: 2, i: 4}.", "a": "10/969" }, { "q": "Five letters picked without replacement from {d: 2, y: 10}. Give prob of picking 1 d and 4 y.", "a": "35/66" }, { "q": "What is prob of picking 1 m and 4 y when five letters picked without replacement from {m: 2, z: 2, y: 10}?", "a": "30/143" }, { "q": "Five letters picked without replacement from {n: 1, h: 1, u: 2, k: 1, c: 1, g: 3}. Give prob of picking 1 g, 1 n, 1 c, 1 k, and 1 h.", "a": "1/42" }, { "q": "What is prob of picking 1 j, 3 w, and 1 n when five letters picked without replacement from {j: 5, n: 3, w: 7}?", "a": "25/143" }, { "q": "Five letters picked without replacement from {o: 6, x: 4, l: 10}. What is prob of picking 2 x, 2 l, and 1 o?", "a": "135/1292" }, { "q": "Five letters picked without replacement from {y: 1, a: 2, t: 2, z: 7, p: 2, h: 4}. What is prob of picking 2 z, 1 p, and 2 t?", "a": "1/204" }, { "q": "What is prob of picking 1 d, 2 t, 1 r, and 1 f when five letters picked without replacement from tqtfqdr?", "a": "1/21" }, { "q": "Five letters picked without replacement from {t: 4, r: 4, o: 12}. Give prob of picking 2 t, 2 r, and 1 o.", "a": "9/323" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from {k: 8, d: 2}?", "a": "2/9" }, { "q": "What is prob of picking 2 n, 1 j, and 2 a when five letters picked without replacement from {g: 8, j: 1, e: 5, n: 2, a: 3}?", "a": "1/3876" }, { "q": "Five letters picked without replacement from {e: 2, b: 12, m: 2}. Give prob of picking 2 m, 1 b, and 2 e.", "a": "1/364" }, { "q": "Five letters picked without replacement from dnpncacnk. What is prob of picking 1 a, 1 p, 1 d, and 2 k?", "a": "0" }, { "q": "Five letters picked without replacement from buqquyybbqbbbnbqbb. What is prob of picking 2 u and 3 q?", "a": "1/2142" }, { "q": "Calculate prob of picking 2 z, 2 b, and 1 i when five letters picked without replacement from {b: 6, i: 1, j: 3, z: 2, e: 2}.", "a": "15/2002" }, { "q": "What is prob of picking 1 o, 2 t, and 2 c when five letters picked without replacement from {z: 2, o: 1, t: 2, v: 4, c: 2, e: 2}?", "a": "1/1287" }, { "q": "Five letters picked without replacement from {g: 6, p: 3, w: 6}. Give prob of picking 2 w, 1 g, and 2 p.", "a": "90/1001" }, { "q": "Calculate prob of picking 3 b and 2 u when five letters picked without replacement from bbubujbubbb.", "a": "5/22" }, { "q": "Calculate prob of picking 1 m, 3 f, and 1 n when five letters picked without replacement from {f: 3, k: 2, r: 1, n: 1, w: 1, m: 2}.", "a": "1/126" }, { "q": "Calculate prob of picking 1 g, 2 b, and 2 e when five letters picked without replacement from eggeeegbegbb.", "a": "5/33" }, { "q": "Calculate prob of picking 3 a and 2 e when five letters picked without replacement from {a: 6, e: 3}.", "a": "10/21" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {c: 2, j: 13}?", "a": "3/7" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {v: 14, j: 5}?", "a": "1/11628" }, { "q": "Five letters picked without replacement from iiqiiiqqqiiq. What is prob of picking 1 i and 4 q?", "a": "35/792" }, { "q": "What is prob of picking 3 m and 2 y when five letters picked without replacement from {g: 1, y: 5, m: 6, v: 4}?", "a": "25/546" }, { "q": "Calculate prob of picking 2 q and 3 y when five letters picked without replacement from {q: 6, y: 11}.", "a": "2475/6188" }, { "q": "Calculate prob of picking 1 x, 1 y, and 3 k when five letters picked without replacement from fkkkxffyxgy.", "a": "2/231" }, { "q": "Five letters picked without replacement from eeshheeshsee. Give prob of picking 3 s and 2 e.", "a": "5/264" }, { "q": "Calculate prob of picking 1 i and 4 o when five letters picked without replacement from ooioioiooiioioiioioo.", "a": "495/2584" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from uuuuouoouoououu?", "a": "6/143" }, { "q": "Calculate prob of picking 3 a and 2 x when five letters picked without replacement from {e: 2, a: 6, u: 4, w: 2, x: 4}.", "a": "5/357" }, { "q": "What is prob of picking 1 w, 3 i, and 1 x when five letters picked without replacement from {x: 1, e: 1, i: 11, w: 1}?", "a": "15/182" }, { "q": "Calculate prob of picking 2 r, 2 p, and 1 s when five letters picked without replacement from {p: 2, i: 1, r: 12, s: 2, y: 2}.", "a": "11/969" }, { "q": "Calculate prob of picking 2 p, 1 j, and 2 l when five letters picked without replacement from {t: 7, z: 2, l: 2, p: 2, h: 6, j: 1}.", "a": "1/15504" }, { "q": "What is prob of picking 1 x, 1 p, and 3 c when five letters picked without replacement from {c: 5, p: 5, x: 7}?", "a": "25/442" }, { "q": "What is prob of picking 1 r, 3 u, and 1 e when five letters picked without replacement from rejjjjuujjueujjjjjj?", "a": "2/2907" }, { "q": "What is prob of picking 1 o and 4 v when five letters picked without replacement from mvovccvvcxvvcxvvo?", "a": "5/221" }, { "q": "Five letters picked without replacement from {b: 1, v: 2, n: 1, f: 4, m: 2, d: 4}. What is prob of picking 2 d, 2 m, and 1 f?", "a": "12/1001" }, { "q": "Five letters picked without replacement from kkkkykykkk. What is prob of picking 5 k?", "a": "2/9" }, { "q": "What is prob of picking 1 x, 1 y, 2 t, and 1 p when five letters picked without replacement from pkpkppkpkppttkyxp?", "a": "2/1547" }, { "q": "What is prob of picking 4 w and 1 q when five letters picked without replacement from qqqwwwwwpwpwq?", "a": "140/1287" }, { "q": "Five letters picked without replacement from {k: 1, i: 9, j: 1, y: 1}. Give prob of picking 2 j and 3 k.", "a": "0" }, { "q": "Five letters picked without replacement from ttgcgcttcwggtgt. Give prob of picking 3 c, 1 w, and 1 g.", "a": "5/3003" }, { "q": "Calculate prob of picking 1 f, 1 e, and 3 z when five letters picked without replacement from ezefzzzzzze.", "a": "5/22" }, { "q": "Calculate prob of picking 2 m, 1 k, and 2 u when five letters picked without replacement from okutokmkkktammk.", "a": "0" }, { "q": "Five letters picked without replacement from {x: 4, q: 1, u: 4, p: 3}. What is prob of picking 1 p, 2 u, and 2 x?", "a": "3/22" }, { "q": "Five letters picked without replacement from {w: 2, d: 3, g: 2, s: 2, c: 4}. Give prob of picking 1 w, 3 d, and 1 s.", "a": "4/1287" }, { "q": "Calculate prob of picking 1 r and 4 n when five letters picked without replacement from {w: 6, n: 5, r: 2}.", "a": "10/1287" }, { "q": "What is prob of picking 1 l, 1 j, and 3 x when five letters picked without replacement from {x: 9, l: 3, u: 3, j: 3}?", "a": "3/34" }, { "q": "Five letters picked without replacement from {d: 1, e: 5, z: 3}. Give prob of picking 1 z and 4 e.", "a": "5/42" }, { "q": "Calculate prob of picking 1 z and 4 f when five letters picked without replacement from fozfozozoofffooz.", "a": "5/1092" }, { "q": "Calculate prob of picking 1 e, 2 f, and 2 q when five letters picked without replacement from {q: 6, f: 3, r: 7, e: 1}.", "a": "45/6188" }, { "q": "What is prob of picking 4 v and 1 y when five letters picked without replacement from vfvfyvvvvvyffvyfv?", "a": "27/442" }, { "q": "Five letters picked without replacement from {q: 2, f: 1, l: 3}. What is prob of picking 1 f, 2 l, and 2 q?", "a": "1/2" }, { "q": "Five letters picked without replacement from {r: 1, g: 1, a: 2, p: 2, b: 13}. Give prob of picking 1 r, 2 b, and 2 p.", "a": "13/1938" }, { "q": "What is prob of picking 3 b and 2 o when five letters picked without replacement from {o: 3, b: 8, n: 7, z: 1}?", "a": "14/969" }, { "q": "What is prob of picking 1 l, 3 v, and 1 c when five letters picked without replacement from {j: 2, v: 4, c: 4, k: 3, l: 2}?", "a": "32/3003" }, { "q": "Five letters picked without replacement from {j: 1, y: 3, p: 4, s: 5}. Give prob of picking 1 s, 2 j, and 2 p.", "a": "0" }, { "q": "What is prob of picking 3 q, 1 e, and 1 k when five letters picked without replacement from eeeaqekqqkkkqk?", "a": "40/1001" }, { "q": "What is prob of picking 1 f, 1 n, and 3 t when five letters picked without replacement from {t: 3, u: 1, f: 2, l: 2, n: 1}?", "a": "1/63" }, { "q": "What is prob of picking 4 d and 1 t when five letters picked without replacement from {d: 7, t: 3}?", "a": "5/12" }, { "q": "Five letters picked without replacement from yxxxxxxxccxxxyqqxxxx. Give prob of picking 1 q and 4 x.", "a": "1001/7752" }, { "q": "Five letters picked without replacement from qqfffffff. What is prob of picking 5 f?", "a": "1/6" }, { "q": "Calculate prob of picking 2 e, 1 p, 1 t, and 1 u when five letters picked without replacement from {p: 4, x: 3, t: 3, q: 4, u: 1, e: 4}.", "a": "2/323" }, { "q": "Five letters picked without replacement from {p: 1, r: 2, m: 5, n: 2, z: 4, g: 2}. Give prob of picking 1 n, 2 m, 1 z, and 1 p.", "a": "5/273" }, { "q": "Five letters picked without replacement from {e: 5, i: 1, t: 5}. Give prob of picking 5 e.", "a": "1/462" }, { "q": "Calculate prob of picking 1 k, 2 g, and 2 c when five letters picked without replacement from {c: 4, g: 2, k: 2, z: 4}.", "a": "1/66" }, { "q": "Calculate prob of picking 1 e, 1 r, and 3 z when five letters picked without replacement from rrzezfrrezrfzrr.", "a": "8/429" }, { "q": "What is prob of picking 1 s, 1 y, and 3 i when five letters picked without replacement from {i: 4, e: 4, s: 4, y: 7}?", "a": "28/2907" }, { "q": "Five letters picked without replacement from lolbiowlovww. Give prob of picking 1 v, 3 o, and 1 w.", "a": "1/264" }, { "q": "Calculate prob of picking 5 h when five letters picked without replacement from liihihhhhilyy.", "a": "1/1287" }, { "q": "Five letters picked without replacement from tqqbtqqqallq. What is prob of picking 2 t, 1 l, 1 b, and 1 a?", "a": "1/396" }, { "q": "What is prob of picking 4 n and 1 g when five letters picked without replacement from {g: 10, n: 6}?", "a": "25/728" }, { "q": "Calculate prob of picking 4 g and 1 i when five letters picked without replacement from {a: 3, g: 5, o: 4, i: 7}.", "a": "35/11628" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from ppppppp.", "a": "1" }, { "q": "Five letters picked without replacement from {l: 2, v: 3, x: 3, t: 4}. Give prob of picking 3 x and 2 t.", "a": "1/132" }, { "q": "Five letters picked without replacement from wwhhhhwhhhhhhwwh. What is prob of picking 3 w and 2 h?", "a": "275/2184" }, { "q": "Five letters picked without replacement from ffffffffzzff. What is prob of picking 3 f and 2 z?", "a": "5/33" }, { "q": "What is prob of picking 1 d, 2 q, and 2 s when five letters picked without replacement from dsdsdqqdqs?", "a": "1/7" }, { "q": "What is prob of picking 2 u and 3 e when five letters picked without replacement from {r: 5, e: 2, f: 4, u: 5}?", "a": "0" }, { "q": "What is prob of picking 3 s, 1 a, and 1 e when five letters picked without replacement from ssaahsssshessss?", "a": "80/1001" }, { "q": "Five letters picked without replacement from iamimiimmaiaiaammi. What is prob of picking 5 a?", "a": "1/8568" }, { "q": "Calculate prob of picking 2 z, 1 k, 1 g, and 1 u when five letters picked without replacement from grzufzzuggkgzfgug.", "a": "27/1547" }, { "q": "Five letters picked without replacement from {y: 4, v: 8}. Give prob of picking 3 v and 2 y.", "a": "14/33" }, { "q": "What is prob of picking 2 f, 1 z, 1 w, and 1 h when five letters picked without replacement from {j: 1, f: 2, k: 1, h: 11, w: 3, z: 2}?", "a": "11/2584" }, { "q": "What is prob of picking 3 i and 2 p when five letters picked without replacement from {l: 1, p: 2, k: 7, i: 10}?", "a": "5/646" }, { "q": "Calculate prob of picking 1 x, 1 z, 2 e, and 1 s when five letters picked without replacement from zzeevevsezxzzzzox.", "a": "3/221" }, { "q": "Five letters picked without replacement from {n: 6, h: 3, m: 3}. Give prob of picking 4 n and 1 m.", "a": "5/88" }, { "q": "What is prob of picking 4 d and 1 l when five letters picked without replacement from lddddlddddddddl?", "a": "45/91" }, { "q": "Calculate prob of picking 1 e, 3 b, and 1 q when five letters picked without replacement from eqbebbbbebqeibeeb.", "a": "24/221" }, { "q": "Calculate prob of picking 5 a when five letters picked without replacement from {p: 6, d: 4, a: 5, n: 1}.", "a": "1/4368" }, { "q": "Five letters picked without replacement from {z: 7, d: 4}. What is prob of picking 4 z and 1 d?", "a": "10/33" }, { "q": "Calculate prob of picking 3 m and 2 s when five letters picked without replacement from ssmsmmmsssmmmmmmmm.", "a": "275/714" }, { "q": "What is prob of picking 4 u and 1 b when five letters picked without replacement from {b: 5, u: 15}?", "a": "2275/5168" }, { "q": "Five letters picked without replacement from dpoddoooooopodpodoo. What is prob of picking 1 d, 1 p, and 3 o?", "a": "275/1292" }, { "q": "What is prob of picking 5 i when five letters picked without replacement from siphishaipphsiip?", "a": "1/4368" }, { "q": "Five letters picked without replacement from {r: 2, w: 3, t: 4}. Give prob of picking 4 t and 1 w.", "a": "1/42" }, { "q": "Five letters picked without replacement from {g: 3, e: 1, z: 2, l: 7}. What is prob of picking 4 l and 1 g?", "a": "35/429" }, { "q": "Calculate prob of picking 3 s and 2 b when five letters picked without replacement from {s: 8, b: 3, x: 3}.", "a": "12/143" }, { "q": "Five letters picked without replacement from {j: 12, e: 4}. Give prob of picking 1 e and 4 j.", "a": "165/364" }, { "q": "Five letters picked without replacement from ccccccqcqcccqqcqca. Give prob of picking 4 q and 1 c.", "a": "5/714" }, { "q": "Calculate prob of picking 2 f, 1 o, 1 s, and 1 c when five letters picked without replacement from cwswwwfofowo.", "a": "1/264" }, { "q": "Five letters picked without replacement from {w: 14, n: 2}. Give prob of picking 4 w and 1 n.", "a": "11/24" }, { "q": "What is prob of picking 3 i and 2 a when five letters picked without replacement from aaaaaiiciiiaiiiacia?", "a": "196/969" }, { "q": "Five letters picked without replacement from {x: 1, u: 3, s: 2, p: 1, q: 5, m: 1}. What is prob of picking 1 x, 2 q, 1 s, and 1 u?", "a": "20/429" }, { "q": "What is prob of picking 5 g when five letters picked without replacement from gggggggg?", "a": "1" }, { "q": "Five letters picked without replacement from hhhuhehuuu. What is prob of picking 4 u and 1 e?", "a": "1/252" }, { "q": "What is prob of picking 3 e, 1 y, and 1 f when five letters picked without replacement from eefyeeeeeeeffee?", "a": "15/91" }, { "q": "What is prob of picking 2 y, 2 o, and 1 a when five letters picked without replacement from yooyyyoaoyyxyxoyo?", "a": "15/221" }, { "q": "Five letters picked without replacement from {p: 12, k: 5}. What is prob of picking 2 p and 3 k?", "a": "165/1547" }, { "q": "Calculate prob of picking 1 e, 2 k, and 2 v when five letters picked without replacement from {i: 10, g: 2, e: 2, w: 1, k: 2, v: 2}.", "a": "1/5814" }, { "q": "Five letters picked without replacement from {a: 5, z: 2, s: 11}. What is prob of picking 5 a?", "a": "1/8568" }, { "q": "Five letters picked without replacement from tbrbrrbbrrbbrrrrrrr. Give prob of picking 3 b and 2 r.", "a": "110/969" }, { "q": "What is prob of picking 2 g, 1 w, and 2 o when five letters picked without replacement from ggjjwgjwogoowgoojogo?", "a": "315/5168" }, { "q": "Five letters picked without replacement from hzbbqbkbbbbbzqbbbf. Give prob of picking 1 z, 1 f, 2 b, and 1 q.", "a": "55/2142" }, { "q": "Five letters picked without replacement from {p: 11, d: 4}. What is prob of picking 1 p and 4 d?", "a": "1/273" }, { "q": "Five letters picked without replacement from {r: 6, d: 7, p: 3}. What is prob of picking 5 d?", "a": "1/208" }, { "q": "Calculate prob of picking 1 f, 1 o, and 3 z when five letters picked without replacement from {b: 1, r: 3, o: 2, w: 3, z: 3, f: 1}.", "a": "2/1287" }, { "q": "Calculate prob of picking 3 k, 1 s, and 1 y when five letters picked without replacement from {y: 2, n: 2, k: 12, s: 4}.", "a": "110/969" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {c: 3, l: 1, j: 1, r: 5}.", "a": "1/252" }, { "q": "What is prob of picking 3 r and 2 d when five letters picked without replacement from {d: 9, q: 1, e: 2, r: 3}?", "a": "12/1001" }, { "q": "What is prob of picking 2 x, 1 t, 1 i, and 1 q when five letters picked without replacement from thixhqdhix?", "a": "1/126" }, { "q": "What is prob of picking 1 y, 2 h, and 2 k when five letters picked without replacement from {j: 2, h: 3, k: 7, y: 1}?", "a": "7/143" }, { "q": "Five letters picked without replacement from {l: 11, g: 8}. Give prob of picking 5 l.", "a": "77/1938" }, { "q": "Five letters picked without replacement from qrrrrwrcrrrrcwrw. What is prob of picking 3 w, 1 q, and 1 r?", "a": "5/2184" }, { "q": "Calculate prob of picking 2 r and 3 m when five letters picked without replacement from {r: 2, w: 1, m: 3, v: 1, e: 3}.", "a": "1/252" }, { "q": "What is prob of picking 1 z, 3 w, and 1 e when five letters picked without replacement from {u: 7, z: 1, o: 3, w: 5, x: 1, e: 1}?", "a": "5/4284" }, { "q": "What is prob of picking 1 p, 1 x, and 3 r when five letters picked without replacement from {x: 1, g: 6, r: 3, k: 3, s: 1, p: 1}?", "a": "1/3003" }, { "q": "Five letters picked without replacement from {c: 2, w: 4, k: 5, z: 5, d: 3}. Give prob of picking 3 z, 1 k, and 1 d.", "a": "25/1938" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {l: 2, f: 8}?", "a": "2/9" }, { "q": "Five letters picked without replacement from {u: 2, x: 5, m: 3}. Give prob of picking 1 u and 4 x.", "a": "5/126" }, { "q": "Five letters picked without replacement from bxxbxxxxrffbxxxfxbb. Give prob of picking 2 r, 2 f, and 1 x.", "a": "0" }, { "q": "What is prob of picking 1 d, 1 v, and 3 y when five letters picked without replacement from {v: 4, y: 4, k: 3, d: 1, a: 2, u: 3}?", "a": "4/1547" }, { "q": "What is prob of picking 4 w and 1 e when five letters picked without replacement from wweeeeweeew?", "a": "1/66" }, { "q": "Calculate prob of picking 5 g when five letters picked without replacement from {g: 5, m: 9}.", "a": "1/2002" }, { "q": "Five letters picked without replacement from {f: 3, l: 2, q: 4, p: 5, y: 5}. What is prob of picking 1 p, 1 q, 1 y, and 2 f?", "a": "25/969" }, { "q": "Five letters picked without replacement from {r: 4, n: 3, b: 6, z: 5}. Give prob of picking 2 n and 3 b.", "a": "5/714" }, { "q": "Five letters picked without replacement from yyyyytyttyyytyyyyy. What is prob of picking 2 y and 3 t?", "a": "13/306" }, { "q": "Five letters picked without replacement from zruuquuurirqquqjij. What is prob of picking 2 u, 1 q, and 2 j?", "a": "5/714" }, { "q": "Calculate prob of picking 5 p when five letters picked without replacement from {x: 7, t: 3, p: 6, s: 2}.", "a": "1/1428" }, { "q": "What is prob of picking 5 y when five letters picked without replacement from yyyyeyeyeyey?", "a": "7/99" }, { "q": "Five letters picked without replacement from {y: 2, g: 4, k: 3, r: 1, c: 1, z: 8}. Give prob of picking 1 y, 3 k, and 1 z.", "a": "4/2907" }, { "q": "Five letters picked without replacement from {y: 5, q: 6, n: 2, x: 4, t: 2}. Give prob of picking 2 n, 1 x, and 2 y.", "a": "10/2907" }, { "q": "What is prob of picking 3 c and 2 l when five letters picked without replacement from cllccccclcccccccl?", "a": "33/119" }, { "q": "Five letters picked without replacement from {h: 5, k: 2, i: 2, m: 8, w: 3}. Give prob of picking 2 h, 1 k, and 2 i.", "a": "5/3876" }, { "q": "Five letters picked without replacement from {s: 11, b: 3}. What is prob of picking 2 s and 3 b?", "a": "5/182" }, { "q": "Calculate prob of picking 1 t, 2 i, and 2 h when five letters picked without replacement from {t: 2, h: 3, i: 10}.", "a": "90/1001" }, { "q": "Five letters picked without replacement from {x: 2, p: 8, a: 2}. Give prob of picking 1 x, 2 a, and 2 p.", "a": "7/99" }, { "q": "Calculate prob of picking 5 k when five letters picked without replacement from kkkkpk.", "a": "1/6" }, { "q": "What is prob of picking 3 g and 2 c when five letters picked without replacement from {c: 2, h: 2, v: 2, x: 2, i: 3, g: 5}?", "a": "5/2184" }, { "q": "Five letters picked without replacement from oopfpofoxzpzoop. Give prob of picking 3 o and 2 f.", "a": "20/3003" }, { "q": "Five letters picked without replacement from {e: 7, l: 5, k: 6}. Give prob of picking 4 e and 1 l.", "a": "25/1224" }, { "q": "What is prob of picking 5 n when five letters picked without replacement from nnnnn?", "a": "1" }, { "q": "Five letters picked without replacement from {t: 11, z: 5}. Give prob of picking 2 t and 3 z.", "a": "275/2184" }, { "q": "Five letters picked without replacement from {j: 1, i: 7, c: 3, w: 3, y: 4, m: 1}. What is prob of picking 4 y and 1 c?", "a": "1/3876" }, { "q": "Five letters picked without replacement from ggigmigmmmmi. Give prob of picking 3 i, 1 g, and 1 m.", "a": "5/198" }, { "q": "Calculate prob of picking 4 e and 1 y when five letters picked without replacement from {h: 2, y: 3, w: 3, e: 5}.", "a": "5/429" }, { "q": "Five letters picked without replacement from cbcbcbbbbccbbcbb. What is prob of picking 4 b and 1 c?", "a": "15/52" }, { "q": "Calculate prob of picking 3 u, 1 w, and 1 e when five letters picked without replacement from {u: 8, w: 2, p: 3, e: 1}.", "a": "8/143" }, { "q": "Calculate prob of picking 5 u when five letters picked without replacement from ccuccuucccuuucu.", "a": "1/143" }, { "q": "What is prob of picking 1 a, 2 w, and 2 t when five letters picked without replacement from {s: 2, w: 7, t: 2, a: 2}?", "a": "14/429" }, { "q": "Calculate prob of picking 1 k, 1 n, 2 l, and 1 p when five letters picked without replacement from ppkklkppppvckkknklll.", "a": "21/1292" }, { "q": "Five letters picked without replacement from dnfddldffnff. Give prob of picking 1 l, 1 d, 2 f, and 1 n.", "a": "10/99" }, { "q": "Calculate prob of picking 5 w when five letters picked without replacement from {w: 9, r: 3}.", "a": "7/44" }, { "q": "Five letters picked without replacement from {h: 6, t: 3, z: 4}. What is prob of picking 3 t and 2 h?", "a": "5/429" }, { "q": "What is prob of picking 2 v and 3 p when five letters picked without replacement from pbbpbbvbpvbpbpp?", "a": "20/3003" }, { "q": "What is prob of picking 1 s and 4 w when five letters picked without replacement from {y: 2, w: 8, s: 4}?", "a": "20/143" }, { "q": "Five letters picked without replacement from {n: 1, f: 1, a: 1, s: 3, e: 1, q: 1}. What is prob of picking 1 a, 1 q, 1 f, 1 n, and 1 e?", "a": "1/56" }, { "q": "Five letters picked without replacement from kkffkkkffk. Give prob of picking 2 f and 3 k.", "a": "10/21" }, { "q": "Five letters picked without replacement from zyzzzyyyzyyyzyzzyyy. What is prob of picking 1 z and 4 y?", "a": "220/969" }, { "q": "Calculate prob of picking 2 u, 1 w, 1 f, and 1 i when five letters picked without replacement from wikufu.", "a": "1/6" }, { "q": "Calculate prob of picking 3 y and 2 w when five letters picked without replacement from {y: 5, w: 6, j: 1, s: 1, f: 1, l: 5}.", "a": "25/1938" }, { "q": "Calculate prob of picking 3 y, 1 r, and 1 u when five letters picked without replacement from yzrbbxuyyzbrzyzzyyb.", "a": "10/2907" }, { "q": "What is prob of picking 1 p and 4 e when five letters picked without replacement from bepeeep?", "a": "2/21" }, { "q": "Five letters picked without replacement from ejeeffpfpjajpjffp. Give prob of picking 1 a, 2 p, and 2 j.", "a": "9/1547" }, { "q": "Five letters picked without replacement from {s: 3, m: 6, n: 8}. What is prob of picking 2 s, 2 n, and 1 m?", "a": "18/221" }, { "q": "Five letters picked without replacement from {p: 4, y: 9}. What is prob of picking 3 y and 2 p?", "a": "56/143" }, { "q": "Calculate prob of picking 3 g, 1 y, and 1 e when five letters picked without replacement from bygjgehghhh.", "a": "1/462" }, { "q": "Five letters picked without replacement from mmmmmsmsszzmtmmzz. What is prob of picking 4 z and 1 s?", "a": "3/6188" }, { "q": "Five letters picked without replacement from bpbbpbpmm. What is prob of picking 2 m and 3 b?", "a": "2/63" }, { "q": "Calculate prob of picking 1 g, 1 l, and 3 a when five letters picked without replacement from {g: 1, a: 5, l: 1, y: 10}.", "a": "5/3094" }, { "q": "Five letters picked without replacement from {j: 8, f: 5}. Give prob of picking 2 j and 3 f.", "a": "280/1287" }, { "q": "Five letters picked without replacement from {z: 2, d: 7}. What is prob of picking 2 z and 3 d?", "a": "5/18" }, { "q": "What is prob of picking 5 s when five letters picked without replacement from {s: 5, w: 1}?", "a": "1/6" }, { "q": "Five letters picked without replacement from {d: 4, c: 1, p: 4, x: 1, j: 3}. What is prob of picking 1 c, 1 d, and 3 j?", "a": "4/1287" }, { "q": "Calculate prob of picking 1 k and 4 s when five letters picked without replacement from {s: 7, b: 2, k: 1}.", "a": "5/36" }, { "q": "Five letters picked without replacement from gcfccaafgfagfaafac. Give prob of picking 3 f and 2 a.", "a": "25/1428" }, { "q": "Calculate prob of picking 2 t and 3 b when five letters picked without replacement from wrrqetrqbrbtwb.", "a": "1/2002" }, { "q": "What is prob of picking 1 p and 4 n when five letters picked without replacement from najpjnjppnnppnajnnaj?", "a": "175/15504" }, { "q": "Calculate prob of picking 1 y, 1 x, and 3 h when five letters picked without replacement from {h: 4, y: 1, x: 6, p: 1, s: 2}.", "a": "12/1001" }, { "q": "What is prob of picking 1 a, 1 p, and 3 d when five letters picked without replacement from {d: 12, a: 4, p: 3}?", "a": "220/969" }, { "q": "Five letters picked without replacement from {w: 12, l: 2}. What is prob of picking 3 w and 2 l?", "a": "10/91" }, { "q": "Five letters picked without replacement from ddssdzdsdssstbdtt. What is prob of picking 5 d?", "a": "3/3094" }, { "q": "Five letters picked without replacement from tdblikibilkbiklkbktk. Give prob of picking 1 k, 1 t, and 3 i.", "a": "1/323" }, { "q": "Calculate prob of picking 1 f, 2 q, and 2 m when five letters picked without replacement from {f: 1, q: 3, m: 2}.", "a": "1/2" }, { "q": "Calculate prob of picking 2 f, 2 x, and 1 m when five letters picked without replacement from {s: 3, x: 5, f: 4, e: 2, m: 2}.", "a": "5/182" }, { "q": "Five letters picked without replacement from {o: 11, e: 5}. What is prob of picking 2 e and 3 o?", "a": "275/728" }, { "q": "Five letters picked without replacement from ooookoooooook. Give prob of picking 4 o and 1 k.", "a": "20/39" }, { "q": "Calculate prob of picking 1 t, 1 e, 2 r, and 1 v when five letters picked without replacement from {e: 1, v: 1, r: 3, z: 7, t: 2}.", "a": "3/1001" }, { "q": "Five letters picked without replacement from {v: 4, p: 2, u: 4, d: 5}. What is prob of picking 3 u, 1 v, and 1 d?", "a": "80/3003" }, { "q": "Five letters picked without replacement from gttgtggttggtg. Give prob of picking 5 g.", "a": "7/429" }, { "q": "Five letters picked without replacement from {d: 3, i: 3}. Give prob of picking 2 i and 3 d.", "a": "1/2" }, { "q": "What is prob of picking 3 w and 2 u when five letters picked without replacement from {w: 4, u: 4}?", "a": "3/7" }, { "q": "Calculate prob of picking 4 h and 1 b when five letters picked without replacement from hbbhbhhbbbbhhhh.", "a": "70/429" }, { "q": "Calculate prob of picking 2 y, 2 r, and 1 d when five letters picked without replacement from issdiyreessirrisyd.", "a": "1/1428" }, { "q": "Five letters picked without replacement from asfasxsxfssfffffasaf. What is prob of picking 1 f, 2 s, 1 a, and 1 x?", "a": "20/323" }, { "q": "What is prob of picking 2 x, 1 s, and 2 h when five letters picked without replacement from shhhhhxhhshsshhhs?", "a": "0" }, { "q": "Five letters picked without replacement from {v: 4, a: 1, f: 1}. What is prob of picking 4 v and 1 a?", "a": "1/6" }, { "q": "What is prob of picking 1 j and 4 q when five letters picked without replacement from jjqqqqqqqqqjjqq?", "a": "40/91" }, { "q": "Calculate prob of picking 1 c, 2 x, 1 j, and 1 i when five letters picked without replacement from {w: 4, y: 2, i: 1, c: 4, x: 8, j: 1}.", "a": "7/969" }, { "q": "Five letters picked without replacement from taatqttaqqqqqtqqqqt. Give prob of picking 1 q, 2 t, and 2 a.", "a": "25/646" }, { "q": "Calculate prob of picking 2 w, 1 u, and 2 s when five letters picked without replacement from wuswwwwsuwuu.", "a": "5/66" }, { "q": "Five letters picked without replacement from aaaaqqaaaq. What is prob of picking 4 a and 1 q?", "a": "5/12" }, { "q": "What is prob of picking 1 g, 1 x, 1 w, 1 n, and 1 f when five letters picked without replacement from nxxfgfwxxnnwxx?", "a": "36/1001" }, { "q": "What is prob of picking 1 g and 4 e when five letters picked without replacement from {g: 1, b: 10, e: 5}?", "a": "5/4368" }, { "q": "Calculate prob of picking 1 q, 1 z, and 3 g when five letters picked without replacement from gaaaazaaaaqaaagzg.", "a": "1/3094" }, { "q": "Calculate prob of picking 1 i, 1 o, and 3 f when five letters picked without replacement from {i: 1, f: 6, k: 3, o: 6, j: 3, x: 1}.", "a": "5/646" }, { "q": "Calculate prob of picking 1 x and 4 p when five letters picked without replacement from ppxxxpxxpxxppxp.", "a": "40/429" }, { "q": "Calculate prob of picking 1 o, 1 j, and 3 a when five letters picked without replacement from aaugagoajggxxog.", "a": "8/3003" }, { "q": "What is prob of picking 5 j when five letters picked without replacement from {j: 7, g: 13}?", "a": "7/5168" }, { "q": "Five letters picked without replacement from wbqbbqbqlqlqwqlqc. Give prob of picking 3 q and 2 l.", "a": "15/884" }, { "q": "Five letters picked without replacement from ghhhhgggghggg. Give prob of picking 5 h.", "a": "1/1287" }, { "q": "What is prob of picking 5 k when five letters picked without replacement from zkkkkzzzkkkekezkzk?", "a": "1/34" }, { "q": "Five letters picked without replacement from {r: 4, n: 8, q: 3}. Give prob of picking 3 q and 2 r.", "a": "2/1001" }, { "q": "What is prob of picking 3 t and 2 g when five letters picked without replacement from {t: 4, g: 2}?", "a": "2/3" }, { "q": "What is prob of picking 2 g, 1 p, 1 s, and 1 m when five letters picked without replacement from {g: 3, m: 1, s: 3, p: 2, y: 2}?", "a": "3/77" }, { "q": "Five letters picked without replacement from pwhffffhfpspees. Give prob of picking 1 h, 2 s, and 2 e.", "a": "2/3003" }, { "q": "Calculate prob of picking 3 r, 1 f, and 1 v when five letters picked without replacement from {f: 2, v: 5, r: 6, a: 2}.", "a": "200/3003" }, { "q": "What is prob of picking 5 f when five letters picked without replacement from {u: 1, f: 15}?", "a": "11/16" }, { "q": "What is prob of picking 4 q and 1 k when five letters picked without replacement from {k: 14, q: 5}?", "a": "35/5814" }, { "q": "What is prob of picking 3 o, 1 l, and 1 v when five letters picked without replacement from {u: 10, l: 1, v: 5, o: 3}?", "a": "5/11628" }, { "q": "Calculate prob of picking 2 u and 3 l when five letters picked without replacement from llllllluullllll.", "a": "2/21" }, { "q": "Calculate prob of picking 5 r when five letters picked without replacement from {q: 2, g: 8, r: 6}.", "a": "1/728" }, { "q": "Five letters picked without replacement from vtvtttvvtqqtt. What is prob of picking 2 q and 3 t?", "a": "35/1287" }, { "q": "What is prob of picking 2 l, 1 p, and 2 c when five letters picked without replacement from crlpclccccrr?", "a": "5/264" }, { "q": "What is prob of picking 1 e, 1 x, and 3 h when five letters picked without replacement from eheeehhhheheheex?", "a": "5/78" }, { "q": "Five letters picked without replacement from lllllllblllvlllblllv. What is prob of picking 1 l, 2 b, and 2 v?", "a": "1/969" }, { "q": "Five letters picked without replacement from {j: 9}. What is prob of picking 5 j?", "a": "1" }, { "q": "Five letters picked without replacement from {d: 1, p: 2, x: 2, g: 1, r: 1}. Give prob of picking 1 p, 1 d, 1 r, and 2 x.", "a": "2/21" }, { "q": "What is prob of picking 4 p and 1 r when five letters picked without replacement from prrpprrrprrrprrprrrr?", "a": "35/2584" }, { "q": "Calculate prob of picking 2 c, 1 y, and 2 s when five letters picked without replacement from sysyssssysscssc.", "a": "45/1001" }, { "q": "What is prob of picking 1 h and 4 q when five letters picked without replacement from {h: 1, q: 18}?", "a": "5/19" }, { "q": "Five letters picked without replacement from cstsdtdotdctctttc. What is prob of picking 1 t, 3 d, and 1 s?", "a": "1/442" }, { "q": "Five letters picked without replacement from yexfmyxkm. Give prob of picking 2 y, 1 e, 1 k, and 1 x.", "a": "1/63" }, { "q": "Five letters picked without replacement from {i: 3, x: 3, s: 5, d: 6, t: 1}. Give prob of picking 1 d, 1 t, 2 x, and 1 s.", "a": "5/476" }, { "q": "What is prob of picking 4 g and 1 w when five letters picked without replacement from ggwggwww?", "a": "1/14" }, { "q": "What is prob of picking 1 s, 1 z, 1 j, and 2 c when five letters picked without replacement from {c: 5, z: 3, j: 3, s: 1}?", "a": "5/44" }, { "q": "Calculate prob of picking 1 v, 1 c, 1 h, and 2 s when five letters picked without replacement from {w: 3, t: 1, c: 1, h: 5, v: 1, s: 2}.", "a": "5/1287" }, { "q": "Calculate prob of picking 2 r, 1 v, and 2 o when five letters picked without replacement from {b: 5, r: 5, v: 5, o: 2}.", "a": "25/3094" }, { "q": "Calculate prob of picking 2 w and 3 v when five letters picked without replacement from {w: 11, v: 6}.", "a": "275/1547" }, { "q": "Five letters picked without replacement from {p: 2, e: 1, m: 3, t: 2, s: 2, c: 4}. Give prob of picking 1 s, 2 m, 1 c, and 1 p.", "a": "24/1001" }, { "q": "Five letters picked without replacement from jjcjgccjjjgjjgjjcgg. What is prob of picking 5 g?", "a": "1/11628" }, { "q": "Five letters picked without replacement from {u: 13, x: 4, y: 2}. Give prob of picking 2 u and 3 x.", "a": "26/969" }, { "q": "What is prob of picking 2 t, 1 b, and 2 d when five letters picked without replacement from tqqbtedqtdqqd?", "a": "1/143" }, { "q": "Five letters picked without replacement from aahaaaaaaaaccnjanaaj. Give prob of picking 2 a, 1 j, and 2 n.", "a": "13/1292" }, { "q": "Five letters picked without replacement from {z: 1, m: 3, n: 1, y: 2, u: 1, w: 2}. What is prob of picking 1 u, 3 m, and 1 z?", "a": "1/252" }, { "q": "Five letters picked without replacement from {o: 1, r: 5, k: 13}. What is prob of picking 5 r?", "a": "1/11628" }, { "q": "What is prob of picking 5 u when five letters picked without replacement from uwwwwuwwwuwwwwwwuwuw?", "a": "1/15504" }, { "q": "Calculate prob of picking 1 l, 1 m, 2 o, and 1 v when five letters picked without replacement from {v: 1, l: 1, g: 1, o: 3, m: 7}.", "a": "7/429" }, { "q": "What is prob of picking 5 m when five letters picked without replacement from zmzzmzzmzmzzzzmmzzz?", "a": "1/1938" }, { "q": "Calculate prob of picking 2 u, 1 x, and 2 y when five letters picked without replacement from {x: 9, y: 7, u: 3}.", "a": "63/1292" }, { "q": "Calculate prob of picking 5 n when five letters picked without replacement from {l: 8, n: 9}.", "a": "9/442" }, { "q": "Five letters picked without replacement from {m: 1, k: 3, h: 3, w: 1}. What is prob of picking 3 h, 1 w, and 1 m?", "a": "1/56" }, { "q": "Five letters picked without replacement from ccrarcqrrt. Give prob of picking 1 q, 1 a, 2 c, and 1 r.", "a": "1/21" }, { "q": "Calculate prob of picking 1 l and 4 w when five letters picked without replacement from {l: 6, w: 6}.", "a": "5/44" }, { "q": "Five letters picked without replacement from {k: 15, u: 1}. Give prob of picking 5 k.", "a": "11/16" }, { "q": "Five letters picked without replacement from {o: 4, g: 6, t: 2, n: 3}. Give prob of picking 2 t, 1 n, and 2 g.", "a": "15/1001" }, { "q": "Five letters picked without replacement from {n: 2, i: 8, r: 3, s: 6}. What is prob of picking 2 s and 3 r?", "a": "5/3876" }, { "q": "Five letters picked without replacement from nppddddpppnddpdpdn. What is prob of picking 5 d?", "a": "1/153" }, { "q": "Five letters picked without replacement from rrrlrrrrrrlrrrrrr. Give prob of picking 1 l and 4 r.", "a": "15/34" }, { "q": "Calculate prob of picking 3 x, 1 e, and 1 g when five letters picked without replacement from fefgyxgffgfgxeffx.", "a": "2/1547" }, { "q": "Calculate prob of picking 3 t and 2 a when five letters picked without replacement from {t: 9, a: 9}.", "a": "6/17" }, { "q": "Five letters picked without replacement from {j: 5, o: 2, i: 8, g: 4}. Give prob of picking 2 j and 3 i.", "a": "140/2907" }, { "q": "Calculate prob of picking 5 j when five letters picked without replacement from jtjjsvsjstvsj.", "a": "1/1287" }, { "q": "Five letters picked without replacement from zhvpzuwuvhhuhzuvz. What is prob of picking 2 v, 2 z, and 1 p?", "a": "9/3094" }, { "q": "Calculate prob of picking 3 t and 2 h when five letters picked without replacement from {t: 4, h: 7}.", "a": "2/11" }, { "q": "Five letters picked without replacement from {t: 1, o: 8}. What is prob of picking 1 t and 4 o?", "a": "5/9" }, { "q": "What is prob of picking 4 m and 1 c when five letters picked without replacement from mmmmmjmcmc?", "a": "5/18" }, { "q": "What is prob of picking 1 k, 1 r, 1 b, and 2 u when five letters picked without replacement from kduhhurhuuhhubhhbhuh?", "a": "5/2584" }, { "q": "What is prob of picking 1 u and 4 s when five letters picked without replacement from ssssusrisssuiwsswr?", "a": "5/102" }, { "q": "What is prob of picking 1 o, 2 a, and 2 u when five letters picked without replacement from {b: 1, a: 7, u: 2, o: 3}?", "a": "7/143" }, { "q": "What is prob of picking 5 c when five letters picked without replacement from {c: 6}?", "a": "1" }, { "q": "Five letters picked without replacement from zzzwzwwwwzzzzwzwzz. What is prob of picking 2 w and 3 z?", "a": "55/136" }, { "q": "Five letters picked without replacement from {t: 1, a: 1, b: 1, w: 2, p: 2}. Give prob of picking 1 t, 2 w, 1 a, and 1 p.", "a": "2/21" }, { "q": "Five letters picked without replacement from vuduuuvduuvuuu. Give prob of picking 2 v and 3 u.", "a": "18/143" }, { "q": "Five letters picked without replacement from uuukuuyuuzzuusukusy. Give prob of picking 2 y, 1 z, and 2 u.", "a": "55/5814" }, { "q": "Five letters picked without replacement from {e: 2, b: 10}. What is prob of picking 2 e and 3 b?", "a": "5/33" }, { "q": "Five letters picked without replacement from {o: 10, j: 4}. What is prob of picking 2 o and 3 j?", "a": "90/1001" }, { "q": "Calculate prob of picking 2 n and 3 k when five letters picked without replacement from pnnkknpnkpkknpkn.", "a": "25/364" }, { "q": "Calculate prob of picking 2 v and 3 x when five letters picked without replacement from {t: 2, v: 4, x: 4}.", "a": "2/21" }, { "q": "Five letters picked without replacement from hrhhhrhrhhhhhhhhhrhh. Give prob of picking 4 r and 1 h.", "a": "1/969" }, { "q": "What is prob of picking 5 b when five letters picked without replacement from {j: 4, b: 8}?", "a": "7/99" }, { "q": "What is prob of picking 3 c, 1 n, and 1 f when five letters picked without replacement from {c: 3, f: 2, n: 1}?", "a": "1/3" }, { "q": "Calculate prob of picking 1 i, 1 s, and 3 f when five letters picked without replacement from sfffrrpip.", "a": "1/126" }, { "q": "Five letters picked without replacement from lllllllllllfllll. What is prob of picking 5 l?", "a": "11/16" }, { "q": "Calculate prob of picking 3 p, 1 w, and 1 g when five letters picked without replacement from {p: 5, j: 3, w: 1, g: 1}.", "a": "5/126" }, { "q": "Five letters picked without replacement from xtxtxxeexxxtxtxxttx. What is prob of picking 2 t and 3 x?", "a": "275/1292" }, { "q": "Five letters picked without replacement from {p: 4, r: 2, l: 5, y: 1, f: 1, a: 3}. Give prob of picking 1 f and 4 p.", "a": "1/4368" }, { "q": "Five letters picked without replacement from {a: 3, t: 1, g: 2, l: 2, b: 3}. Give prob of picking 1 t, 2 b, and 2 l.", "a": "1/154" }, { "q": "Calculate prob of picking 4 z and 1 w when five letters picked without replacement from zzzdzwoosps.", "a": "1/462" }, { "q": "Calculate prob of picking 1 t, 2 p, 1 l, and 1 x when five letters picked without replacement from ttppxpxpttpxl.", "a": "40/429" }, { "q": "What is prob of picking 3 o, 1 t, and 1 y when five letters picked without replacement from tovtztottoitty?", "a": "1/286" }, { "q": "Five letters picked without replacement from {m: 10, g: 7, c: 1, b: 1}. Give prob of picking 4 g and 1 m.", "a": "175/5814" }, { "q": "Five letters picked without replacement from {s: 7, r: 2, h: 8}. What is prob of picking 3 s and 2 h?", "a": "35/221" }, { "q": "Five letters picked without replacement from mwqmqcqqcqwqqwcqmcmm. What is prob of picking 2 q and 3 m?", "a": "35/1938" }, { "q": "Five letters picked without replacement from {q: 12, z: 4}. Give prob of picking 5 q.", "a": "33/182" }, { "q": "What is prob of picking 1 o, 1 v, and 3 f when five letters picked without replacement from offoklvfvvffh?", "a": "20/429" }, { "q": "Calculate prob of picking 2 a, 1 w, and 2 s when five letters picked without replacement from {s: 3, w: 4, y: 1, a: 4}.", "a": "1/11" }, { "q": "Five letters picked without replacement from jjjjjjjjjj. Give prob of picking 5 j.", "a": "1" }, { "q": "Calculate prob of picking 1 e, 2 x, and 2 a when five letters picked without replacement from rexxaeaaaaeea.", "a": "20/429" }, { "q": "Five letters picked without replacement from yzyfyzzzzzzyyyz. What is prob of picking 1 f, 1 y, and 3 z?", "a": "16/143" }, { "q": "Five letters picked without replacement from {h: 6, i: 1, l: 7, j: 3}. Give prob of picking 1 h, 1 l, and 3 j.", "a": "3/442" }, { "q": "Calculate prob of picking 1 d and 4 e when five letters picked without replacement from {d: 2, e: 11}.", "a": "20/39" }, { "q": "Five letters picked without replacement from {i: 8, j: 9}. Give prob of picking 3 j and 2 i.", "a": "84/221" }, { "q": "What is prob of picking 2 u and 3 p when five letters picked without replacement from uupppupp?", "a": "15/28" }, { "q": "What is prob of picking 1 z, 1 e, 1 h, and 2 n when five letters picked without replacement from nehenfxfzhh?", "a": "1/77" }, { "q": "Five letters picked without replacement from {t: 4, y: 6, s: 4}. What is prob of picking 1 y, 2 t, and 2 s?", "a": "108/1001" }, { "q": "Calculate prob of picking 3 q and 2 c when five letters picked without replacement from {c: 8, q: 7, i: 3}.", "a": "35/306" }, { "q": "What is prob of picking 1 y, 2 g, 1 i, and 1 j when five letters picked without replacement from {g: 2, i: 2, j: 4, y: 1, c: 2}?", "a": "4/231" }, { "q": "What is prob of picking 5 d when five letters picked without replacement from mdddddddmd?", "a": "2/9" }, { "q": "Five letters picked without replacement from rrrrdvddrvrvrrvrrv. What is prob of picking 2 d, 2 r, and 1 v?", "a": "75/952" }, { "q": "Five letters picked without replacement from {e: 3, g: 2, j: 4, a: 1, z: 1}. What is prob of picking 2 g, 1 z, and 2 j?", "a": "1/77" }, { "q": "Five letters picked without replacement from {z: 1, b: 3, h: 2, j: 9, c: 2, d: 3}. Give prob of picking 2 d, 1 c, 1 z, and 1 j.", "a": "9/2584" }, { "q": "What is prob of picking 1 t, 1 o, 1 c, and 2 i when five letters picked without replacement from coooiotiiciiooiocico?", "a": "14/323" }, { "q": "Calculate prob of picking 1 d and 4 m when five letters picked without replacement from {m: 11, d: 9}.", "a": "495/2584" }, { "q": "Five letters picked without replacement from {q: 1, v: 2, d: 3, u: 1, i: 2}. What is prob of picking 1 u, 2 i, and 2 v?", "a": "1/126" }, { "q": "Five letters picked without replacement from {h: 2, m: 5, b: 2, j: 2, x: 5, g: 1}. What is prob of picking 1 b, 2 m, 1 j, and 1 h?", "a": "20/1547" }, { "q": "What is prob of picking 2 d and 3 k when five letters picked without replacement from {d: 2, q: 1, n: 5, k: 7}?", "a": "5/429" }, { "q": "Five letters picked without replacement from {t: 1, r: 5, q: 1, f: 1, e: 4}. What is prob of picking 1 r, 1 t, 1 q, 1 f, and 1 e?", "a": "5/198" }, { "q": "What is prob of picking 2 d, 2 f, and 1 o when five letters picked without replacement from oodfffodofoof?", "a": "20/429" }, { "q": "What is prob of picking 4 g and 1 m when five letters picked without replacement from {g: 9, t: 2, m: 9}?", "a": "189/2584" }, { "q": "What is prob of picking 1 q, 1 t, 1 k, 1 w, and 1 y when five letters picked without replacement from kkuwqyyqkqtu?", "a": "1/44" }, { "q": "What is prob of picking 1 y, 2 m, 1 q, and 1 d when five letters picked without replacement from {q: 1, d: 1, y: 7, p: 1, z: 2, m: 3}?", "a": "1/143" }, { "q": "Calculate prob of picking 5 s when five letters picked without replacement from sssssss.", "a": "1" }, { "q": "What is prob of picking 5 q when five letters picked without replacement from {e: 1, l: 1, q: 7}?", "a": "1/6" }, { "q": "Five letters picked without replacement from rrrboroooorrbxrbrxoz. What is prob of picking 1 r, 1 z, and 3 o?", "a": "10/969" }, { "q": "Five letters picked without replacement from {n: 1, f: 3, k: 4, p: 1, j: 2, s: 4}. Give prob of picking 1 p, 1 n, and 3 k.", "a": "4/3003" }, { "q": "What is prob of picking 5 t when five letters picked without replacement from {t: 10, o: 6, l: 2, v: 1}?", "a": "7/323" }, { "q": "Five letters picked without replacement from googoogqggqoqqgo. What is prob of picking 1 g and 4 o?", "a": "15/728" }, { "q": "Five letters picked without replacement from {m: 3, p: 5, i: 1}. What is prob of picking 2 m, 1 i, and 2 p?", "a": "5/21" }, { "q": "Five letters picked without replacement from {o: 1, d: 3, r: 4, q: 2, n: 2, u: 1}. Give prob of picking 1 o, 2 d, 1 n, and 1 q.", "a": "4/429" }, { "q": "Five letters picked without replacement from {s: 3, o: 2, y: 1, q: 3, g: 3, w: 1}. Give prob of picking 1 o, 3 g, and 1 y.", "a": "2/1287" }, { "q": "What is prob of picking 1 g, 1 v, 1 d, and 2 k when five letters picked without replacement from gdddvkbbvkvvdg?", "a": "16/1001" }, { "q": "Five letters picked without replacement from {h: 2, r: 6}. Give prob of picking 3 r and 2 h.", "a": "5/14" }, { "q": "Five letters picked without replacement from wwcxxwowwccwctxchh. Give prob of picking 1 c, 3 w, and 1 t.", "a": "25/2142" }, { "q": "Calculate prob of picking 2 k, 1 l, and 2 j when five letters picked without replacement from jmmmqmmmkmmljkmk.", "a": "1/1456" }, { "q": "Five letters picked without replacement from {n: 3, t: 3, e: 5}. Give prob of picking 3 n and 2 t.", "a": "1/154" }, { "q": "Calculate prob of picking 3 w and 2 y when five letters picked without replacement from wwyyywwywy.", "a": "25/63" }, { "q": "Calculate prob of picking 3 z and 2 h when five letters picked without replacement from {z: 15, h: 4}.", "a": "455/1938" }, { "q": "Calculate prob of picking 2 r and 3 k when five letters picked without replacement from {k: 7, z: 4, r: 2}.", "a": "35/1287" }, { "q": "Five letters picked without replacement from qqxvxxvxxvv. Give prob of picking 1 v, 3 q, and 1 x.", "a": "0" }, { "q": "Five letters picked without replacement from {y: 3, i: 9}. Give prob of picking 3 i and 2 y.", "a": "7/22" }, { "q": "Five letters picked without replacement from {n: 3, h: 1, b: 3, l: 1, x: 4}. What is prob of picking 2 n, 1 x, and 2 b?", "a": "1/22" }, { "q": "Calculate prob of picking 1 v, 3 x, and 1 a when five letters picked without replacement from {v: 5, a: 12, x: 3}.", "a": "5/1292" }, { "q": "Five letters picked without replacement from {y: 10, d: 9}. Give prob of picking 4 d and 1 y.", "a": "35/323" }, { "q": "Calculate prob of picking 5 y when five letters picked without replacement from yyyyyyymmymyyymy.", "a": "33/182" }, { "q": "Five letters picked without replacement from qqzeuqjqjerqq. Give prob of picking 1 q, 3 z, and 1 e.", "a": "0" }, { "q": "What is prob of picking 1 e, 1 u, 2 c, and 1 k when five letters picked without replacement from ukdcuuucecudeuudeud?", "a": "2/323" }, { "q": "Five letters picked without replacement from lvvvlvvv. Give prob of picking 3 v and 2 l.", "a": "5/14" } ]