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_0100 | 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: 2, c: 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 the for... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0101 | 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: 2, l: 1, d: 1}, 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 t... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0102 | 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, p: 1}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0103 | 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, c: 4}, 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 written as the for... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0104 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {g: 1, p: 1, o: 1, d: 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0105 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {u: 4, d: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'u' remains in the same position?\nIf the probability can be written as the for... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0106 | 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: 1, e: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'e' remains in the same position?\nIf the probability can be written as the for... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0107 | 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, h: 1, n: 1, i: 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 writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0108 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {s: 3, e: 2, w: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'w' remains in the same position?\nIf the probability can be written as t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0109 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {l: 2, g: 1, c: 3, z: 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 writte... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0110 | 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: 1, z: 2, k: 1, 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 writte... | 36 | math |
combinatory_probability_exactly_n_specific_fixed_train_0111 | 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 {v: 1, s: 1, x: 2, j: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be writte... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0112 | 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 {u: 1, f: 1, c: 1, x: 1}, 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0113 | 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, i: 1, u: 3, z: 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 writte... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0114 | 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: 1, d: 1, q: 1, c: 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 writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0115 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {j: 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0116 | 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, y: 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... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0117 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {e: 4, m: 2}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0118 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {y: 3, k: 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... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0119 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {w: 1, z: 2, i: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'i' remains in the same position?\nIf the probability can be written as t... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0120 | 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, k: 2, g: 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... | 3 | math |
combinatory_probability_exactly_n_specific_fixed_train_0121 | 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: 1, e: 3, t: 1}, 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... | 3 | math |
combinatory_probability_exactly_n_specific_fixed_train_0122 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {d: 3, y: 3, o: 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0123 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {y: 5, j: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be written as the for... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0124 | 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 {b: 3, f: 2, t: 1, v: 1}, 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 writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0125 | 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, q: 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 the for... | 23 | math |
combinatory_probability_exactly_n_specific_fixed_train_0126 | 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 {v: 1, k: 3, e: 2, i: 1}, 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... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0127 | 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: 1, d: 1, m: 1, z: 1}, 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0128 | 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, z: 1, e: 4}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0129 | 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: 1, q: 2, p: 3, g: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'q' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0130 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {i: 3, s: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'i' remains in the same position?\nIf the probability can be written as the for... | 3 | math |
combinatory_probability_exactly_n_specific_fixed_train_0131 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {x: 1, z: 1, h: 1, v: 1}, 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0132 | 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, y: 1, m: 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... | 3 | math |
combinatory_probability_exactly_n_specific_fixed_train_0133 | 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 {b: 3, c: 1, l: 1}, 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 written as t... | 3 | math |
combinatory_probability_exactly_n_specific_fixed_train_0134 | 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, q: 1, e: 3}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0135 | 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 {v: 3, d: 4}, shuffle the letters in the word, what is the probability of exact 3 letter 'd' remains in the same position?\nIf the probability can be written as the for... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0136 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {a: 2, z: 2, h: 2, p: 1}, 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 writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0137 | 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, g: 2, e: 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 written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0138 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {p: 1, g: 3, h: 1}, shuffle the letters in the word, what is the probability of exact 2 letter 'g' remains in the same position?\nIf the probability can be written as t... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0139 | 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 {b: 1, h: 1, f: 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 |
combinatory_probability_exactly_n_specific_fixed_train_0140 | 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, o: 1, l: 1, j: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0141 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {j: 2, c: 1, i: 1, s: 1}, 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 writte... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0142 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {p: 1, n: 2, l: 2, z: 2}, 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 writte... | 26 | math |
combinatory_probability_exactly_n_specific_fixed_train_0143 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {b: 1, c: 1, s: 1, p: 1}, 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0144 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {d: 4, o: 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 the for... | 19 | math |
combinatory_probability_exactly_n_specific_fixed_train_0145 | 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: 3, t: 4}, shuffle the letters in the word, what is the probability of exact 3 letter 't' remains in the same position?\nIf the probability can be written as the for... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0146 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {s: 3, w: 1, d: 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 written as t... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0147 | 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, q: 2, 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... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0148 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {j: 2, h: 1, f: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be written as t... | 19 | math |
combinatory_probability_exactly_n_specific_fixed_train_0149 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {n: 1, s: 2, c: 1, i: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'n' remains in the same position?\nIf the probability can be writte... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0150 | 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: 2, d: 3, e: 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 written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0151 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {i: 4, p: 3}, shuffle the letters in the word, what is the probability of exact 2 letter 'p' remains in the same position?\nIf the probability can be written as the for... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0152 | 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, d: 2, i: 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 writte... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0153 | 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: 4, g: 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 written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0154 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {e: 4, l: 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... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0155 | 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, i: 1, t: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be written as t... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0156 | 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: 1, j: 3, q: 1}, shuffle the letters in the word, what is the probability of exact 3 letter 'j' remains in the same position?\nIf the probability can be written as t... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0157 | 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, n: 1, a: 2, p: 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_0158 | 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, r: 1, l: 1, i: 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 writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0159 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {m: 2, y: 1, i: 1, v: 1}, 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 writte... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0160 | 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: 2, v: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'w' remains in the same position?\nIf the probability can be written as the for... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0161 | 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: 5, w: 1}, 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 written as the for... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0162 | 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: 1, c: 2, q: 2, h: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'q' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0163 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {d: 2, j: 1, w: 2}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be written as t... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0164 | 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: 4, o: 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 the for... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0165 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {k: 1, z: 1, o: 1, u: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0166 | 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: 3, y: 2, h: 1}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0167 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {r: 2, c: 2, d: 1, i: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'i' remains in the same position?\nIf the probability can be writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0168 | 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: 1, u: 1, g: 1, s: 2}, 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 writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0169 | 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: 1, z: 1, w: 2, e: 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_0170 | 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: 2, j: 1, h: 1, e: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be writte... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0171 | 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: 2, z: 3, y: 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 written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0172 | 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, e: 1, s: 1, o: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0173 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {g: 1, i: 1, a: 1, d: 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_0174 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {m: 2, c: 3, e: 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 written as t... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0175 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {r: 1, z: 5}, 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0176 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {l: 3, r: 2, j: 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0177 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {k: 1, u: 1, j: 1, v: 1}, 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 writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0178 | 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: 3, i: 1, r: 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 written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0179 | 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: 2, d: 1, a: 1, v: 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_0180 | 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 {b: 2, p: 5}, 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 written as the for... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0181 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {o: 1, b: 2, x: 1, n: 1}, 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0182 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {i: 1, m: 1, x: 1, d: 1}, 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0183 | 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 {b: 3, f: 1, p: 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 written as t... | 29 | math |
combinatory_probability_exactly_n_specific_fixed_train_0184 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {g: 2, f: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 'g' remains in the same position?\nIf the probability can be written as the for... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0185 | 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: 1, p: 1}, 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 written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0186 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {u: 4, 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 written as t... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0187 | 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 1 letter 'n' remains in the same position?\nIf the probability can be written as the for... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0188 | 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, o: 1, d: 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 t... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0189 | 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, l: 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_0190 | 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: 1, w: 1, t: 1, g: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0191 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {y: 1, q: 2, h: 1, 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... | 19 | math |
combinatory_probability_exactly_n_specific_fixed_train_0192 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {i: 1, v: 2, t: 2, f: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'i' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0193 | 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: 1, g: 1, r: 1, a: 1}, 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 writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0194 | 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: 1, o: 2, f: 2, r: 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_0195 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {j: 2, b: 3}, shuffle the letters in the word, what is the probability of exact 1 letter 'j' remains in the same position?\nIf the probability can be written as the for... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0196 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {o: 1, h: 1, u: 2, k: 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0197 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {j: 5, r: 1, f: 1}, 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 t... | 31 | math |
combinatory_probability_exactly_n_specific_fixed_train_0198 | 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: 4, m: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'm' remains in the same position?\nIf the probability can be written as the for... | 36 | math |
combinatory_probability_exactly_n_specific_fixed_train_0199 | combinatory_probability_exactly_n_specific_fixed | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {o: 3, b: 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 written as the for... | 11 | math |
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