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]