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4 November, 11:47

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

+3
Answers (2)
  1. 4 November, 12:07
    0
    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
  2. 4 November, 12:16
    0
    10 non-fiction, 8 fiction ... total 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 <===
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