SOLUTION: The sales force of a business consists of 10 men and 10 women. A production unit of 6 people is set up at random. What is the probability that it will consist of 2 men and 4 women?

Question 484304: The sales force of a business consists of 10 men and 10 women. A production unit of 6 people is set up at random. What is the probability that it will consist of 2 men and 4 women? (type answer as an integer or decimal rounded to four decimal places as needed)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sales force of a business consists of 10 men and 10 women. A production unit of 6 people is set up at random. What is the probability that it will consist of 2 men and 4 women? (type answer as an integer or decimal rounded to four decimal places as needed)
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Select 2 men: 10C2 = 45 ways
Select 4 women: 10C4 = 210 ways
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# of production units of 2 men and 4 women: 45*210
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# of randomly chosen production units with 6 members: 20C6 = 38760
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P(2men and 4women) = (45*210)/38760 = 0.2438
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Cheers,
Stan H.
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