SOLUTION: You have a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. You randomly pick 4 books to read during a long trip. What is the probabilit
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Question 571916: You have a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. You randomly pick 4 books to read during a long trip. What is the probability that you pick at least one book of each type? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! You have a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. You randomly pick 4 books to read during a long trip. What is the probability that you pick at least one book of each type?
P(at least one of each) = 1 - P(some duplicates)
# of one-of-a-kind groups of 3 books: 20*15*25 = 7500
# of random groups of 3 books: 60C3 = 34220
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P(one of a kind) = 7500/34220 = 0.2192
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Cheers,
Stan H.
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