# 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?

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 Click here to see ALL problems on Probability-and-statistics 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(57307)   (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) ----- Select 2 men: 10C2 = 45 ways Select 4 women: 10C4 = 210 ways ---- # of production units of 2 men and 4 women: 45*210 ----- # of randomly chosen production units with 6 members: 20C6 = 38760 ==== P(2men and 4women) = (45*210)/38760 = 0.2438 ============= Cheers, Stan H. =============