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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?

Respuesta :

Answer:

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

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 = [tex]\frac{6}{12}[/tex]

The probability of choosing a biography book from the box = [tex]\frac{4}{12}[/tex]

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

            = [tex]\frac{1}{6}[/tex]