select the correct answer.\na study conducted on 40,000 words in the english language found that about 6,670…

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

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

Answer

Explanation:

Step1: Calculate theoretical probability

The theoretical probability $P$ of a word starting with $T$ is the number of words starting with $T$ divided by the total number of words. Given there are 6670 words starting with $T$ out of 40000 words, so $P=\frac{6670}{40000}= 0.16675$.

Step2: Count number of 'T - starting' words in each option

  • Option A: Count the words starting with $T$: to, than, the, table, turn, top. There are 6 words. The proportion is $\frac{6}{20}=0.3$.
  • Option B: to, than, the, table. There are 4 words. The proportion is $\frac{4}{20} = 0.2$.
  • Option C: No words starting with $T$. The proportion is $\frac{0}{20}=0$.
  • Option D: to, than, the, tartar, table, turn, toss, top. There are 8 words. The proportion is $\frac{8}{20}=0.4$.
  • Option E: No words starting with $T$. The proportion is $\frac{0}{20}=0$.

The proportion closest to $0.16675$ is 0.2.

Answer:

B. to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say