SOLUTION: In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee?
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Question 1101324: In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee?
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# of ways to pick 2 doctors:: 4C2 = 6
# of ways to pick 4 nurses:: 12C4 = (12*11*10*9)/(1*2*3*4) = 99*5 = 495
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# of committies with 2 docs and nurses = 6*495
# of random committies with 6 persons = 16C6
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P(condition) = (6*495)/16C6 = (6*495)/8008 = 0.3709
Cheers,
Stan H.
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