The books in a private library are classified as fiction and nonfiction. there are 400 books in the library. there are 40 more fiction books than nonfiction books. audrey randomly picks a book. a few minutes later, ryan randomly picks one of the remaining books. what is the probability that both pick nonfiction books? a. 180 × 189
400 × 400.

b. 180 × 179
400 × 399.

c. 180 × 179
400 × 400.

d. 180 × 189
400 × 399.

B.

Step-by-step explanation:

Let x be the number of fiction books and y be the number of non-fiction books.

Then according to the question, we have the following system:-

Adding (1) and (2), we get

Substitute value of x in equation (1), we get

Also,  Audrey randomly picks a book.

Favorable  outcomes for drawing a nonfiction book =180

A few minutes later, Ryan randomly picks one of the remaining books .

Remaining books = 400-1=399

Favorable  outcomes for drawing a nonfiction book =180-1=179

The probability that both pick nonfiction books is given by :-

29 is the correct answer

step-by-step explanation: