Question

At a used-book sale, 108 books are adult books and 170 are children’s books. Of the adult books, 72 are nonfiction, while 70 of the children books are fiction. If a book is selected at random, find the probability of selecting the books for the following. Round the answers to three decimal places. p(fiction) = ?

Answer 1

Determine the total number of books.

`\begin{gathered} T=108+170 \\ =278 \end{gathered}`

Determine the fiction books in adult books.

`108-72=36`

Determine the total number of fiction books.

`\begin{gathered} F=36+70 \\ =106 \end{gathered}`

Determine the probability for selecting fiction book.

`\begin{gathered} P(Fiction)=(106)/(278) \\ =0.38129 \\ \approx0.381 \end{gathered}`

So answer is P(fiction) = 0.381