id stringlengths 59 59 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringclasses 35
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combinatory_probability_exactly_n_specific_fixed_train_0900 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {a: 1, c: 1, j: 2, o: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'c' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0901 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {l: 4, h: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'l' remains in the same position?\nIf the probability can be written as the for... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0902 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {s: 2, j: 3, c: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 's' remains in the same position?\nIf the probability can be written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0903 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {m: 2, t: 1, u: 2, x: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 't' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0904 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {s: 5, k: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'k' remains in the same position?\nIf the probability can be written as the for... | 57 | math |
combinatory_probability_exactly_n_specific_fixed_train_0905 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {x: 2, m: 3, y: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'm' remains in the same position?\nIf the probability can be written as t... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0906 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {c: 2, j: 4, k: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'k' remains in the same position?\nIf the probability can be written as t... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0907 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {f: 1, m: 1, q: 3, y: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'y' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0908 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {p: 1, r: 3, a: 1, o: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'o' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0909 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {i: 2, u: 2, k: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'k' remains in the same position?\nIf the probability can be written as t... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0910 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {x: 1, m: 4, t: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'm' remains in the same position?\nIf the probability can be written as t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0911 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {w: 3, o: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'w' remains in the same position?\nIf the probability can be written as the for... | 21 | math |
combinatory_probability_exactly_n_specific_fixed_train_0912 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {j: 2, y: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'j' remains in the same position?\nIf the probability can be written as the for... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0913 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {d: 1, e: 2, b: 2, p: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'b' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0914 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {e: 4, y: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'e' remains in the same position?\nIf the probability can be written as the for... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0915 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {m: 3, k: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'm' remains in the same position?\nIf the probability can be written as the for... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0916 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {z: 3, b: 1, h: 1, o: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'b' remains in the same position?\nIf the probability can be writte... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0917 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {k: 3, v: 4}, shuffle the letters in the word, what is the probability of exact 1 letter 'v' remains in the same position?\nIf the probability can be written as the for... | 48 | math |
combinatory_probability_exactly_n_specific_fixed_train_0918 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {p: 2, o: 3, b: 1, c: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'o' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0919 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {b: 3, c: 3, f: 2}, shuffle the letters in the word, what is the probability of exact 3 letter 'c' remains in the same position?\nIf the probability can be written as t... | 57 | math |
combinatory_probability_exactly_n_specific_fixed_train_0920 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {w: 4, l: 2, q: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'q' remains in the same position?\nIf the probability can be written as t... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0921 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {p: 1, s: 3, z: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'p' remains in the same position?\nIf the probability can be written as t... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0922 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {g: 3, v: 1, c: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'g' remains in the same position?\nIf the probability can be written as t... | 29 | math |
combinatory_probability_exactly_n_specific_fixed_train_0923 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {s: 3, g: 4}, shuffle the letters in the word, what is the probability of exact 1 letter 's' remains in the same position?\nIf the probability can be written as the for... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0924 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {y: 2, x: 4}, shuffle the letters in the word, what is the probability of exact 1 letter 'x' remains in the same position?\nIf the probability can be written as the for... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0925 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {n: 2, o: 1, z: 5}, shuffle the letters in the word, what is the probability of exact 2 letter 'n' remains in the same position?\nIf the probability can be written as t... | 29 | math |
combinatory_probability_exactly_n_specific_fixed_train_0926 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {u: 2, v: 6}, shuffle the letters in the word, what is the probability of exact 2 letter 'v' remains in the same position?\nIf the probability can be written as the for... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0927 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {u: 2, q: 4, t: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'u' remains in the same position?\nIf the probability can be written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0928 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {i: 5, t: 1, m: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 't' remains in the same position?\nIf the probability can be written as t... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0929 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {y: 2, z: 2, w: 2, t: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'y' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0930 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {u: 2, b: 3, f: 2, w: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'b' remains in the same position?\nIf the probability can be writte... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0931 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {h: 2, p: 2, j: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'p' remains in the same position?\nIf the probability can be written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0932 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {j: 1, b: 2, e: 1, l: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'e' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0933 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {r: 2, p: 1, x: 3, h: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'p' remains in the same position?\nIf the probability can be writte... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0934 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {q: 3, y: 2, r: 1, b: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'r' remains in the same position?\nIf the probability can be writte... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0935 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {t: 4, o: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'o' remains in the same position?\nIf the probability can be written as the for... | 44 | math |
combinatory_probability_exactly_n_specific_fixed_train_0936 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {d: 1, i: 2, q: 5}, shuffle the letters in the word, what is the probability of exact 1 letter 'd' remains in the same position?\nIf the probability can be written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0937 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {f: 4, b: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'b' remains in the same position?\nIf the probability can be written as the for... | 36 | math |
combinatory_probability_exactly_n_specific_fixed_train_0938 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {o: 5, p: 2, f: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'o' remains in the same position?\nIf the probability can be written as t... | 81 | math |
combinatory_probability_exactly_n_specific_fixed_train_0939 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {a: 2, k: 1, w: 4, i: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'a' remains in the same position?\nIf the probability can be writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0940 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 2, k: 2, q: 1, x: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'o' remains in the same position?\nIf the probability can be writte... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0941 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {o: 2, t: 2, m: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'o' remains in the same position?\nIf the probability can be written as t... | 29 | math |
combinatory_probability_exactly_n_specific_fixed_train_0942 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {n: 2, l: 4, y: 1}, shuffle the letters in the word, what is the probability of exact 3 letter 'l' remains in the same position?\nIf the probability can be written as t... | 38 | math |
combinatory_probability_exactly_n_specific_fixed_train_0943 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {t: 3, f: 4}, shuffle the letters in the word, what is the probability of exact 1 letter 'f' remains in the same position?\nIf the probability can be written as the for... | 51 | math |
combinatory_probability_exactly_n_specific_fixed_train_0944 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {p: 2, n: 2, d: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'n' remains in the same position?\nIf the probability can be written as t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0945 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {x: 3, u: 1, t: 2, o: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'x' remains in the same position?\nIf the probability can be writte... | 61 | math |
combinatory_probability_exactly_n_specific_fixed_train_0946 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {g: 1, e: 2, i: 5}, shuffle the letters in the word, what is the probability of exact 1 letter 'e' remains in the same position?\nIf the probability can be written as t... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0947 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {a: 2, n: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'n' remains in the same position?\nIf the probability can be written as the for... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0948 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {n: 1, l: 2, x: 2, w: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'x' remains in the same position?\nIf the probability can be writte... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0949 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {f: 3, q: 4}, shuffle the letters in the word, what is the probability of exact 3 letter 'f' remains in the same position?\nIf the probability can be written as the for... | 36 | math |
combinatory_probability_exactly_n_specific_fixed_train_0950 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {w: 3, q: 1, x: 2, h: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'w' remains in the same position?\nIf the probability can be writte... | 19 | math |
combinatory_probability_exactly_n_specific_fixed_train_0951 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {l: 3, g: 4, r: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'r' remains in the same position?\nIf the probability can be written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0952 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {r: 1, u: 4, d: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'd' remains in the same position?\nIf the probability can be written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0953 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {z: 3, c: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'z' remains in the same position?\nIf the probability can be written as the for... | 23 | math |
combinatory_probability_exactly_n_specific_fixed_train_0954 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 2, l: 5}, shuffle the letters in the word, what is the probability of exact 2 letter 'o' remains in the same position?\nIf the probability can be written as the for... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0955 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {y: 2, c: 2, u: 2, k: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'c' remains in the same position?\nIf the probability can be writte... | 29 | math |
combinatory_probability_exactly_n_specific_fixed_train_0956 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {c: 3, p: 2, h: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'c' remains in the same position?\nIf the probability can be written as t... | 57 | math |
combinatory_probability_exactly_n_specific_fixed_train_0957 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {n: 1, m: 2, a: 1, h: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'a' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0958 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {l: 5, s: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 's' remains in the same position?\nIf the probability can be written as the for... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0959 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {a: 4, o: 4}, shuffle the letters in the word, what is the probability of exact 3 letter 'o' remains in the same position?\nIf the probability can be written as the for... | 15 | math |
combinatory_probability_exactly_n_specific_fixed_train_0960 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {n: 3, v: 2, w: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'v' remains in the same position?\nIf the probability can be written as t... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0961 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {a: 1, r: 2, e: 1, j: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'a' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0962 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {u: 2, y: 2, z: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'z' remains in the same position?\nIf the probability can be written as t... | 44 | math |
combinatory_probability_exactly_n_specific_fixed_train_0963 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {d: 4, c: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'd' remains in the same position?\nIf the probability can be written as the for... | 47 | math |
combinatory_probability_exactly_n_specific_fixed_train_0964 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {x: 2, h: 3, l: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'l' remains in the same position?\nIf the probability can be written as t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0965 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {l: 3, b: 2, k: 1, a: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'a' remains in the same position?\nIf the probability can be writte... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0966 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {z: 3, a: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'a' remains in the same position?\nIf the probability can be written as the for... | 23 | math |
combinatory_probability_exactly_n_specific_fixed_train_0967 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {j: 1, b: 1, x: 2, f: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'f' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0968 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {b: 3, f: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'f' remains in the same position?\nIf the probability can be written as the for... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0969 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {p: 1, c: 3, u: 1, x: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'p' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0970 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {m: 3, w: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'm' remains in the same position?\nIf the probability can be written as the for... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0971 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {t: 2, f: 2, k: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'f' remains in the same position?\nIf the probability can be written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0972 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {c: 3, s: 4}, shuffle the letters in the word, what is the probability of exact 3 letter 's' remains in the same position?\nIf the probability can be written as the for... | 38 | math |
combinatory_probability_exactly_n_specific_fixed_train_0973 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {v: 2, e: 2, m: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'm' remains in the same position?\nIf the probability can be written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0974 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {q: 2, z: 4, j: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'z' remains in the same position?\nIf the probability can be written as t... | 51 | math |
combinatory_probability_exactly_n_specific_fixed_train_0975 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 3, a: 4}, shuffle the letters in the word, what is the probability of exact 3 letter 'a' remains in the same position?\nIf the probability can be written as the for... | 38 | math |
combinatory_probability_exactly_n_specific_fixed_train_0976 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {v: 2, r: 3, h: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'h' remains in the same position?\nIf the probability can be written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0977 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {d: 2, u: 1, f: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'u' remains in the same position?\nIf the probability can be written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0978 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {j: 2, a: 5, d: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'd' remains in the same position?\nIf the probability can be written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0979 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {r: 5, x: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'x' remains in the same position?\nIf the probability can be written as the for... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0980 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {j: 3, h: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'h' remains in the same position?\nIf the probability can be written as the for... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0981 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {g: 1, c: 2, k: 3, o: 2}, shuffle the letters in the word, what is the probability of exact 3 letter 'k' remains in the same position?\nIf the probability can be writte... | 57 | math |
combinatory_probability_exactly_n_specific_fixed_train_0982 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {f: 2, c: 2, k: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'f' remains in the same position?\nIf the probability can be written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0983 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {g: 2, t: 2, h: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'h' remains in the same position?\nIf the probability can be written as t... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0984 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {f: 2, q: 4}, shuffle the letters in the word, what is the probability of exact 2 letter 'f' remains in the same position?\nIf the probability can be written as the for... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0985 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {k: 3, m: 2, j: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'm' remains in the same position?\nIf the probability can be written as t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0986 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {l: 4, v: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'v' remains in the same position?\nIf the probability can be written as the for... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0987 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {j: 2, y: 2, m: 1, w: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'w' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0988 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {f: 4, s: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 's' remains in the same position?\nIf the probability can be written as the for... | 36 | math |
combinatory_probability_exactly_n_specific_fixed_train_0989 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {n: 4, y: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'y' remains in the same position?\nIf the probability can be written as the for... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0990 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {q: 1, p: 3, f: 4}, shuffle the letters in the word, what is the probability of exact 1 letter 'q' remains in the same position?\nIf the probability can be written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0991 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {g: 1, y: 6}, shuffle the letters in the word, what is the probability of exact 3 letter 'y' remains in the same position?\nIf the probability can be written as the for... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0992 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {y: 2, b: 1, m: 1, o: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'm' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0993 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {k: 2, n: 3, g: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'g' remains in the same position?\nIf the probability can be written as t... | 57 | math |
combinatory_probability_exactly_n_specific_fixed_train_0994 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {y: 2, o: 2, c: 2, q: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'o' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0995 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {u: 3, z: 2, m: 1}, shuffle the letters in the word, what is the probability of exact 3 letter 'u' remains in the same position?\nIf the probability can be written as t... | 21 | math |
combinatory_probability_exactly_n_specific_fixed_train_0996 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {y: 2, z: 1, e: 1, s: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'e' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0997 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {e: 2, v: 2, o: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'v' remains in the same position?\nIf the probability can be written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0998 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {p: 1, d: 2, h: 1, v: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'h' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0999 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {a: 2, d: 4, h: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'h' remains in the same position?\nIf the probability can be written as t... | 5 | math |
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