Question

A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which is the most common letter to start a word. If we randomly pick 20 unique words, which of these lists of words will come closest to the theoretical probability of getting a word beginning with T?

Answer 1

a. to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, turn, whom, example, top, mention, that
b. to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say
c. escape, sarcastic, epithet, for, less, corruptible, sin, valley, offspring, open, any, primary, loyalty, table, gall, whom, example, who, mention, say
d. to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, tartar, primary, loyalty, table, turn, whom, example, toss, top, say
e. odor, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, rude, kind, whom, example, who, mention, say

Answer 2

for 40,000 words , 6,670 words started with the letter T.
thus the probability of a word to start with T is 6,670/40,000

what you have to do is count the number of words that start with T in each list, then divide it by 20

choose the closest to 6,670/40,000 .