SOLUTION: In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?

Question 345173: In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?
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# of ways to select 3 spades: 13C3
# of ways to select 2 non-spades: 39C2
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# of ways to select 5 cards randomly: 52C5
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P(3spades and 2 other) = [13C3*39C2)/52C5 = 0.0815
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Cheers,
Stan H.
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