Question

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

Answer 1

Answer:it’s A

Explanation:

did the test

Answer 2

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:

`(8)/(18)`

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

`(10)/(17)`

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

`(7)/(16)`

Sinally since the events are independent the total probability would be:

`(8)/(18) *(10)/(17)*(7)/(16)= 0.114`

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:

`(8)/(18)`

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

`(10)/(17)`

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

`(7)/(16)`

Sinally since the events are independent the total probability would be:

`(8)/(18) *(10)/(17)*(7)/(16)= 0.114`