id stringlengths 28 28 | setting_key stringclasses 1 value | setting_name stringclasses 0 values | messages listlengths 1 1 | ground_truth stringclasses 28 values | dataset stringclasses 1 value |
|---|---|---|---|---|---|
trans_prob_letter_train_0000 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {p: 3, d: 2, y: 2}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
trans_prob_letter_train_0001 | trans_prob_letter | 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, w: 2, s: 3}, shuffle the letters in the word, what is the probability of no letter 'w' occupy any of their original positions?\nIf the probability can be written... | 5 | math |
trans_prob_letter_train_0002 | trans_prob_letter | 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, p: 2, l: 2, w: 1}, shuffle the letters in the word, what is the probability of no letter 'l' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
trans_prob_letter_train_0003 | trans_prob_letter | 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, b: 1, r: 1}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be written... | 7 | math |
trans_prob_letter_train_0004 | trans_prob_letter | 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, x: 2, f: 1}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be written... | 7 | math |
trans_prob_letter_train_0005 | trans_prob_letter | 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, g: 3}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written as th... | 27 | math |
trans_prob_letter_train_0006 | trans_prob_letter | 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, k: 3}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be written as th... | 6 | math |
trans_prob_letter_train_0007 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {b: 4, t: 2, f: 1}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
trans_prob_letter_train_0008 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {n: 2, e: 2, s: 1}, shuffle the letters in the word, what is the probability of no letter 'n' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
trans_prob_letter_train_0009 | trans_prob_letter | 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, e: 3, r: 2}, shuffle the letters in the word, what is the probability of no letter 'd' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
trans_prob_letter_train_0010 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {f: 3, d: 2}, shuffle the letters in the word, what is the probability of no letter 'd' occupy any of their original positions?\nIf the probability can be written as th... | 8 | math |
trans_prob_letter_train_0011 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {y: 4, p: 3}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be written as th... | 44 | math |
trans_prob_letter_train_0012 | trans_prob_letter | 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, f: 1}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written... | 9 | math |
trans_prob_letter_train_0013 | trans_prob_letter | 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: 2, x: 1, c: 2}, shuffle the letters in the word, what is the probability of no letter 'x' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
trans_prob_letter_train_0014 | trans_prob_letter | 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, b: 1, c: 1}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be written... | 4 | math |
trans_prob_letter_train_0015 | trans_prob_letter | 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, a: 2, p: 1}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written... | 3 | math |
trans_prob_letter_train_0016 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {w: 3, b: 3}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be written as th... | 3 | math |
trans_prob_letter_train_0017 | trans_prob_letter | 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, z: 4}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be written as th... | 51 | math |
trans_prob_letter_train_0018 | trans_prob_letter | 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, p: 1, w: 1, b: 3}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
trans_prob_letter_train_0019 | trans_prob_letter | 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, p: 1, y: 1, n: 2}, shuffle the letters in the word, what is the probability of no letter 'n' occupy any of their original positions?\nIf the probability can be w... | 3 | math |
trans_prob_letter_train_0020 | trans_prob_letter | 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, u: 3, e: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written... | 9 | math |
trans_prob_letter_train_0021 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {q: 2, i: 1, c: 2, a: 2}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be w... | 12 | math |
trans_prob_letter_train_0022 | trans_prob_letter | 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, y: 2, f: 1, e: 1}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be w... | 8 | math |
trans_prob_letter_train_0023 | trans_prob_letter | 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, n: 1, d: 2, j: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
trans_prob_letter_train_0024 | trans_prob_letter | 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, k: 5, p: 1}, shuffle the letters in the word, what is the probability of no letter 'p' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
trans_prob_letter_train_0025 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {z: 2, k: 2}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written as th... | 3 | math |
trans_prob_letter_train_0026 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {g: 3, k: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written as th... | 5 | math |
trans_prob_letter_train_0027 | trans_prob_letter | 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, q: 2, n: 1, j: 1}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be w... | 9 | math |
trans_prob_letter_train_0028 | trans_prob_letter | 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, z: 1, j: 2, p: 3}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be w... | 12 | math |
trans_prob_letter_train_0029 | trans_prob_letter | 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, q: 2, y: 4}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written... | 5 | math |
trans_prob_letter_train_0030 | trans_prob_letter | 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, w: 2, a: 2, c: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
trans_prob_letter_train_0031 | trans_prob_letter | 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, j: 2, y: 3}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
trans_prob_letter_train_0032 | trans_prob_letter | 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, i: 3, e: 1}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be written... | 9 | math |
trans_prob_letter_train_0033 | trans_prob_letter | 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, g: 1, t: 1, m: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0034 | trans_prob_letter | 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, d: 3}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written as th... | 3 | math |
trans_prob_letter_train_0035 | trans_prob_letter | 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: 3, x: 3}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be written... | 51 | math |
trans_prob_letter_train_0036 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {j: 3, w: 4}, shuffle the letters in the word, what is the probability of no letter 'w' occupy any of their original positions?\nIf the probability can be written as th... | 10 | math |
trans_prob_letter_train_0037 | trans_prob_letter | 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, v: 1, e: 2}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be written... | 7 | math |
trans_prob_letter_train_0038 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {r: 4, l: 2, e: 1}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be written... | 10 | math |
trans_prob_letter_train_0039 | trans_prob_letter | 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, t: 2}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be written as th... | 3 | math |
trans_prob_letter_train_0040 | trans_prob_letter | 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, j: 1, q: 1, s: 1}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0041 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {m: 3, d: 1}, shuffle the letters in the word, what is the probability of no letter 'd' occupy any of their original positions?\nIf the probability can be written as th... | 7 | math |
trans_prob_letter_train_0042 | trans_prob_letter | 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, s: 1, e: 3}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
trans_prob_letter_train_0043 | trans_prob_letter | 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, o: 1, h: 3, b: 2}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
trans_prob_letter_train_0044 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {s: 1, z: 1, l: 1, t: 1}, shuffle the letters in the word, what is the probability of no letter 'l' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0045 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {z: 2, q: 1, h: 1, o: 1}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be w... | 8 | math |
trans_prob_letter_train_0046 | trans_prob_letter | 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, h: 2, g: 2, v: 2}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
trans_prob_letter_train_0047 | trans_prob_letter | 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, x: 2, s: 2}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
trans_prob_letter_train_0048 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {g: 3, m: 3}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be written as th... | 27 | math |
trans_prob_letter_train_0049 | trans_prob_letter | 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, r: 1, t: 2}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be written... | 3 | math |
trans_prob_letter_train_0050 | trans_prob_letter | 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, w: 3}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be written as th... | 10 | math |
trans_prob_letter_train_0051 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {f: 1, g: 1, o: 1, v: 1}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0052 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {e: 1, o: 2, i: 1}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be written... | 3 | math |
trans_prob_letter_train_0053 | trans_prob_letter | 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, q: 4}, shuffle the letters in the word, what is the probability of no letter 'x' occupy any of their original positions?\nIf the probability can be written as th... | 5 | math |
trans_prob_letter_train_0054 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {n: 2, t: 1, l: 3}, shuffle the letters in the word, what is the probability of no letter 'l' occupy any of their original positions?\nIf the probability can be written... | 3 | math |
trans_prob_letter_train_0055 | trans_prob_letter | 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, m: 2}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be written as th... | 8 | math |
trans_prob_letter_train_0056 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {q: 2, n: 1, j: 2}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
trans_prob_letter_train_0057 | trans_prob_letter | 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, p: 1, v: 1, s: 1}, shuffle the letters in the word, what is the probability of no letter 'v' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0058 | trans_prob_letter | 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, g: 1, z: 1, x: 2}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be w... | 9 | math |
trans_prob_letter_train_0059 | trans_prob_letter | 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, p: 1, j: 1, f: 1}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
trans_prob_letter_train_0060 | trans_prob_letter | 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, y: 3}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written as th... | 27 | math |
trans_prob_letter_train_0061 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {s: 1, h: 2, a: 2}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be written... | 9 | math |
trans_prob_letter_train_0062 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {x: 3, z: 1}, shuffle the letters in the word, what is the probability of no letter 'x' occupy any of their original positions?\nIf the probability can be written as th... | 5 | math |
trans_prob_letter_train_0063 | trans_prob_letter | 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, q: 1, t: 1, m: 1}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be w... | 9 | math |
trans_prob_letter_train_0064 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {t: 5, k: 1, v: 1}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
trans_prob_letter_train_0065 | trans_prob_letter | 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, y: 2}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be written as th... | 4 | math |
trans_prob_letter_train_0066 | trans_prob_letter | 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, s: 1, w: 2, a: 2}, shuffle the letters in the word, what is the probability of no letter 'w' occupy any of their original positions?\nIf the probability can be w... | 8 | math |
trans_prob_letter_train_0067 | trans_prob_letter | 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, n: 1, r: 2, b: 1}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be w... | 51 | math |
trans_prob_letter_train_0068 | trans_prob_letter | 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, f: 1, d: 1}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be written... | 4 | math |
trans_prob_letter_train_0069 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {m: 1, j: 2, r: 1, z: 1}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be w... | 3 | math |
trans_prob_letter_train_0070 | trans_prob_letter | 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, u: 2, p: 1, s: 1}, shuffle the letters in the word, what is the probability of no letter 'p' occupy any of their original positions?\nIf the probability can be w... | 9 | math |
trans_prob_letter_train_0071 | trans_prob_letter | 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: 5}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be written as th... | 12 | math |
trans_prob_letter_train_0072 | trans_prob_letter | 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, f: 3, e: 1}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
trans_prob_letter_train_0073 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {n: 2, t: 1, g: 1}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be written... | 7 | math |
trans_prob_letter_train_0074 | trans_prob_letter | 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, x: 1, e: 1, r: 2}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be w... | 9 | math |
trans_prob_letter_train_0075 | trans_prob_letter | 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, a: 3}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be written as th... | 6 | math |
trans_prob_letter_train_0076 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {l: 1, b: 1, k: 2}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be written... | 3 | math |
trans_prob_letter_train_0077 | trans_prob_letter | 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, s: 1, j: 1, n: 1}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0078 | trans_prob_letter | 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, u: 3}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written as th... | 51 | math |
trans_prob_letter_train_0079 | trans_prob_letter | 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, n: 3}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be written as th... | 8 | math |
trans_prob_letter_train_0080 | trans_prob_letter | 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, r: 1, c: 3}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
trans_prob_letter_train_0081 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {s: 2, i: 2}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written as th... | 3 | math |
trans_prob_letter_train_0082 | trans_prob_letter | 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, a: 1, d: 1, i: 1}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0083 | trans_prob_letter | 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, b: 3}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written as th... | 7 | math |
trans_prob_letter_train_0084 | trans_prob_letter | 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, q: 1, w: 1, t: 1}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be w... | 7 | math |
trans_prob_letter_train_0085 | trans_prob_letter | 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, t: 1, b: 2, u: 1}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
trans_prob_letter_train_0086 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {p: 4, w: 2}, shuffle the letters in the word, what is the probability of no letter 'p' occupy any of their original positions?\nIf the probability can be written as th... | 4 | math |
trans_prob_letter_train_0087 | trans_prob_letter | 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, e: 2, p: 1, t: 2}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
trans_prob_letter_train_0088 | trans_prob_letter | 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, u: 1, r: 1, q: 2}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
trans_prob_letter_train_0089 | trans_prob_letter | 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: 1, i: 1, m: 2}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be w... | 3 | math |
trans_prob_letter_train_0090 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {z: 2, v: 2, a: 1}, shuffle the letters in the word, what is the probability of no letter 'v' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
trans_prob_letter_train_0091 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 2 letters from the multiset {e: 1, f: 1, z: 2, m: 3}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
trans_prob_letter_train_0092 | trans_prob_letter | 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, t: 2, g: 2, w: 1}, shuffle the letters in the word, what is the probability of no letter 'w' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
trans_prob_letter_train_0093 | trans_prob_letter | 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: 1, s: 2}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be written... | 4 | math |
trans_prob_letter_train_0094 | trans_prob_letter | 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, g: 1, u: 3}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written... | 9 | math |
trans_prob_letter_train_0095 | trans_prob_letter | 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: 2}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be written as th... | 4 | math |
trans_prob_letter_train_0096 | trans_prob_letter | 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, z: 4}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written as th... | 5 | math |
trans_prob_letter_train_0097 | trans_prob_letter | 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, x: 3, z: 1, g: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
trans_prob_letter_train_0098 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {j: 3, u: 2}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be written as th... | 6 | math |
trans_prob_letter_train_0099 | trans_prob_letter | null | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {u: 3, n: 2}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written as th... | 6 | math |
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