Question 968000: Your company is forming a team of 8 managers from different departments in the company. Your company has a total of 30 managers, and 10 of these are from the finance department. If the team is selected at random, what is the probability that the team will contain 2 managers from the finance department:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Your company is forming a team of 8 managers from different departments in the company. Your company has a total of 30 managers, and 10 of these are from the finance department. If the team is selected at random, what is the probability that the team will contain 2 managers from the finance department:
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Pick 2 from finance: 10C2 = 45 ways
Pick 6 who are not from finance: 20C6 = 38760 ways
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# of ways to succeed:: 10C2*20C6 = 1644200 ways
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# of random sets of 8:: 30C8 = 5853925
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Ans: P(condition) = [10C2*20C6]/30C8 = 0.2980
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Cheers,
Stan H.
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