Question

A box of old books contains 6 mysteries, 4 biographies, and 2 children’s books. Which of the following can be used to determine the probability of choosing a mystery book from the box, replacing it, and then choosing a biography?

Answer 1

Answer:

The probability of choosing a mystery book from the box, replacing it, and then choosing a biography = $\frac{1}{6}$

Step-by-step explanation:

A box of old books contains mysteries,  biographies, and  children’s books.

The number of books in mysteries = 6

The number of books in biographies = 4

The number of books in childrens  = 2

The total number of books = 12

The probability of choosing a mystery book from the box = $\frac{6}{12}$

The probability of choosing a biography book from the box = $\frac{4}{12}$

The probability of choosing a mystery book from the box, replacing it, and then choosing a biography = ( $\frac{6}{12}$) ( $\frac{4}{12}$)        ( since it is with replacement)

            = $\frac{1}{6}$