Alibrarian 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

10 non-fiction, 8 fictiontotal of 18 books

probability first pick is fiction is 8/18 reduces to 4/9 (or 0.444)
probability of second book being non-fiction is 10/17 (or 0.588)
probability of third book being fiction is 7/16 (or 0.4375)

probability of all of this happening : 0.444 * 0.588 * 0.4375 =
0.114 <===

0.114... Here are the steps:
1. Multiply the fractions of the probability of picking each book-
8/18*10/17*7/16=35/306
Note-The denominator decreases by one every time because 1 book is taken out of the group in each selection.
2. Divide 35 by 306
approx.=0.114

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