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A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.

What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?

0.114
0.131
0.686
0.784

Respuesta :

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]

Answer:it’s A

Step-by-step explanation:

did the test

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