Question 456011: There are 5 nickels, 8 dimes, and 7 quarters in a bag. You randomly draw 5 coins out of the bag all at once. What is the probability that you will draw 2 nickels, 2 dimes, and 1 quarter?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There are 5 nickels, 8 dimes, and 7 quarters in a bag.
You randomly draw 5 coins out of the bag all at once.
What is the probability that you will draw 2 nickels, 2 dimes, and 1 quarter?
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# of ways to pick 2 nickels: 5C2 = 10
# of ways to pick 2 dimes::: 8C2 = 56
# of ways to pick 1 quarter: 7C1 = 7
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# of ways to pick 2 n, 2d and 1q = 10*56*7 = 3920
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# of ways to pick 5 coins randomly: 20C5 = 15504
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Prob of picking 2n/2d/1q = 3920/15504 = 0.2528
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Cheers,
Stan H.
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