Astudy 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?

Step-by-step explanation:

Given : 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.

To Find: 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?

Solution:

There are 6670 words starting from T

They randomly select 20 words

So, the possible outcomes starting from T :

Since 20 words are selected from the total of 40000:

So, probability of getting a word beginning with T :

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option