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

The probability of choosing a mystery book from the box, replacing it, and then choosing a biography =
`(1)/(6)`

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 =
`(6)/(12)`

The probability of choosing a biography book from the box =
`(4)/(12)`

The probability of choosing a mystery book from the box, replacing it, and then choosing a biography = (
`(6)/(12)`) (
`(4)/(12)`) ( since it is with replacement)

=
`(1)/(6)`