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?

There are 8 fiction books out of 18 total, so the chance the first book is fiction is 8/18. Since the books are chosen without replacement, the next chance is 10/17 for nonfiction, then 7/16 for fiction. Multiply: (8/18)(10/17)(7/16) ≈ 0.114, so the answer is 0.114.

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