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_0000 | 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 {f: 1, t: 1, v: 2, g: 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0001 | 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 {v: 1, o: 2, 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 written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0002 | 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 {q: 1, d: 1, c: 1, g: 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 writte... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0003 | 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, x: 1, a: 3, 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 writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0004 | 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: 1, t: 1, a: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0005 | 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: 4, u: 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 written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0006 | 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: 2, i: 2, k: 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... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0007 | 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, t: 4}, 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0008 | 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, j: 1, k: 1, v: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0009 | 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: 2, r: 1, c: 4}, 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0010 | 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: 2, n: 2, r: 1, e: 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 writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0011 | 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: 4, u: 2, t: 1}, 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... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0012 | 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, v: 1, j: 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 t... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0013 | 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, k: 2, h: 4}, 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... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0014 | 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: 2, t: 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0015 | 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: 1, d: 1, s: 2, h: 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 writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0016 | 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, y: 1, t: 3}, 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 t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0017 | 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 {v: 1, i: 2, o: 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 written as t... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0018 | 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 {q: 3, i: 2}, 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 written as the for... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0019 | 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: 3, p: 2, a: 2}, 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 t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0020 | 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: 2, l: 2, m: 1, p: 2}, 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 writte... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0021 | 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 {z: 1, x: 1, l: 2, i: 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_0022 | 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, k: 3, b: 1}, 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 t... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0023 | 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: 1, r: 3}, shuffle the letters in the word, what is the probability of exact 3 letter 'r' remains in the same position?\nIf the probability can be written as the for... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0024 | 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, j: 2, m: 3}, 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 t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0025 | 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 {f: 2, x: 3}, 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... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0026 | 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, e: 2, x: 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... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0027 | 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, c: 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 the for... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0028 | 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, p: 6}, 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 written as the for... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0029 | 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, a: 2, i: 2, y: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'y' remains in the same position?\nIf the probability can be writte... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0030 | 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, w: 3, x: 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 written as t... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0031 | 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 {h: 2, n: 2}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0032 | 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: 2, k: 1, j: 1, g: 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_0033 | 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 {c: 2, s: 1, m: 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 written as t... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0034 | 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, r: 1, n: 1}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0035 | 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 {h: 2, y: 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... | 13 | math |
combinatory_probability_exactly_n_specific_fixed_train_0036 | 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, v: 2, o: 3}, 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 t... | 36 | math |
combinatory_probability_exactly_n_specific_fixed_train_0037 | 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: 3, u: 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_0038 | 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: 2}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0039 | 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, n: 2, 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 written as t... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0040 | 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, e: 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 the for... | 29 | math |
combinatory_probability_exactly_n_specific_fixed_train_0041 | 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: 3, d: 3}, 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... | 21 | math |
combinatory_probability_exactly_n_specific_fixed_train_0042 | 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: 1, a: 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 t... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0043 | 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, k: 2, i: 1}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0044 | 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, i: 2, e: 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_0045 | 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 {c: 2, 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 written as the for... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0046 | 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, t: 2, p: 1, b: 2}, 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... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0047 | 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: 2, q: 1, j: 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... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0048 | 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, t: 3, u: 2}, shuffle the letters in the word, what is the probability of exact 2 letter 't' remains in the same position?\nIf the probability can be written as t... | 23 | math |
combinatory_probability_exactly_n_specific_fixed_train_0049 | 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, u: 1, r: 1, p: 2}, 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 writte... | 16 | math |
combinatory_probability_exactly_n_specific_fixed_train_0050 | 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: 6, n: 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 written as the for... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0051 | 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: 2, g: 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_0052 | 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: 1, a: 1, y: 1, m: 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_0053 | 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: 1, q: 2, z: 1, e: 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0054 | 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: 4, 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 the for... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0055 | 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, q: 1, u: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0056 | 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, s: 1, w: 2, y: 1}, 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 writte... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0057 | 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: 3, k: 1, z: 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 t... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0058 | 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, p: 4, j: 2}, 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... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0059 | 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, n: 1, x: 1, e: 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_0060 | 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, g: 4}, 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 the for... | 19 | math |
combinatory_probability_exactly_n_specific_fixed_train_0061 | 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, k: 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0062 | 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: 2, j: 1, w: 1, y: 3}, 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... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0063 | 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, y: 1, n: 2, x: 1}, shuffle the letters in the word, what is the probability of exact 1 letter 'y' remains in the same position?\nIf the probability can be writte... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0064 | 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, j: 1, o: 1, d: 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_0065 | 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: 3, k: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0066 | 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 {t: 3, 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... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0067 | 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: 3}, 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 written as the for... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0068 | 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, i: 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... | 41 | math |
combinatory_probability_exactly_n_specific_fixed_train_0069 | 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: 2, n: 1, z: 1, r: 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0070 | 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, z: 4, t: 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0071 | 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, t: 2, x: 1, d: 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0072 | 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: 2, v: 1, p: 2, t: 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 writte... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0073 | 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 {h: 1, 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0074 | 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, p: 1, c: 1, r: 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0075 | 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: 1, u: 2, c: 1, y: 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_0076 | 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, c: 2, w: 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... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0077 | 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: 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 the for... | 11 | math |
combinatory_probability_exactly_n_specific_fixed_train_0078 | 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, n: 1, r: 1, s: 2}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0079 | 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, w: 2, b: 1, k: 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... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0080 | 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, e: 2, d: 3}, 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... | 9 | math |
combinatory_probability_exactly_n_specific_fixed_train_0081 | 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: 2, d: 3, v: 1, r: 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... | 8 | math |
combinatory_probability_exactly_n_specific_fixed_train_0082 | 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: 2, j: 2}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0083 | 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 {z: 1, h: 1, a: 1, b: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0084 | 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: 2, o: 2, l: 3}, 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... | 26 | math |
combinatory_probability_exactly_n_specific_fixed_train_0085 | 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, a: 4}, 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... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0086 | 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: 2, h: 2, q: 3}, 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 t... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0087 | 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 {f: 2, s: 2}, 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0088 | 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 {f: 2, u: 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 written as the for... | 4 | math |
combinatory_probability_exactly_n_specific_fixed_train_0089 | 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, q: 1, x: 1, m: 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_0090 | 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, j: 1, d: 1, o: 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_0091 | 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, i: 1, n: 2}, 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 written as t... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0092 | 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, y: 3, x: 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 t... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0093 | 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, z: 1, u: 1, f: 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... | 5 | math |
combinatory_probability_exactly_n_specific_fixed_train_0094 | 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: 4, e: 1, h: 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0095 | 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: 4, g: 3}, 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... | 39 | math |
combinatory_probability_exactly_n_specific_fixed_train_0096 | 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: 2, x: 3}, 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 written as the for... | 6 | math |
combinatory_probability_exactly_n_specific_fixed_train_0097 | 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, u: 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... | 7 | math |
combinatory_probability_exactly_n_specific_fixed_train_0098 | 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: 3, d: 2, u: 2}, 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... | 22 | math |
combinatory_probability_exactly_n_specific_fixed_train_0099 | 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, b: 1, f: 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... | 5 | math |
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