SOLUTION: 10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?

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Question 578703: 10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?
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# of ways to succeed: 10C2*15C3 = 45*455
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# of random sets of 5: 25C5 = 53130
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Ans: (45*455)/53130 = 0.3854
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Cheers,
Stan H.
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