SOLUTION: I'm so lost.... "From a bag containing 5 nickels, 9 dimes, and 6 quarters, 7 coins are drawn random all at once. What is the probability of getting 2 nickels, 3 dimes, and 2 qua

Algebra ->  Probability-and-statistics -> SOLUTION: I'm so lost.... "From a bag containing 5 nickels, 9 dimes, and 6 quarters, 7 coins are drawn random all at once. What is the probability of getting 2 nickels, 3 dimes, and 2 qua      Log On


   



Question 553395: I'm so lost....
"From a bag containing 5 nickels, 9 dimes, and 6 quarters, 7 coins are drawn random all at once. What is the probability of getting 2 nickels, 3 dimes, and 2 quarters?"

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"From a bag containing 5 nickels, 9 dimes, and 6 quarters, 7 coins are drawn random all at once. What is the probability of getting 2 nickels, 3 dimes, and 2 quarters?"
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# of ways to get 2 nickels: 5C2 = 10
# of ways to get 3 dimes: 9C3 = 84
# of ways to get 2 quarters: 6C2 = 15
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Total # of ways to get 2nick and 3dimes and 2 quarters = 10*84*15 = 12600
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#of ways to pick 7 coins randomly from 20 = 20C7 = 77520
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P(2nick and 3dimes and 2quarters) = 12600/77520 = 0.1625
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Cheers,
Stan H.
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