Answer:
For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:
[tex] \frac{8}{18}[/tex]
For the second selection we have 17 books remaining and the probability of select a nonfiction book is:
[tex] \frac{10}{17}[/tex]
For the last selection we have 16 books remaining and the probability of select a fiction book would be:
[tex]\frac{7}{16}[/tex]
Sinally since the events are independent the total probability would be:
[tex] \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114[/tex]
Step-by-step explanation:
For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:
[tex] \frac{8}{18}[/tex]
For the second selection we have 17 books remaining and the probability of select a nonfiction book is:
[tex] \frac{10}{17}[/tex]
For the last selection we have 16 books remaining and the probability of select a fiction book would be:
[tex]\frac{7}{16}[/tex]
Sinally since the events are independent the total probability would be:
[tex] \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114[/tex]
