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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 :

Determine the total number of books.

[tex]\begin{gathered} T=108+170 \\ =278 \end{gathered}[/tex]

Determine the fiction books in adult books.

[tex]108-72=36[/tex]

Determine the total number of fiction books.

[tex]\begin{gathered} F=36+70 \\ =106 \end{gathered}[/tex]

Determine the probability for selecting fiction book.

[tex]\begin{gathered} P(Fiction)=\frac{106}{278} \\ =0.38129 \\ \approx0.381 \end{gathered}[/tex]

So answer is P(fiction) = 0.381

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