SOLUTION: What is the probability of a 4 person committee being all men or all women if you have 7 men and 5 women?

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Question 612448: What is the probability of a 4 person committee being all men or all women if you have 7 men and 5 women?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

P(all men OR all women) = P(all men) + P(all women) = 7C4%2F%2812C4%29 + 5C4%2F%2812C4%29 = 35%2F495 + 5%2F495 = 40%2F495 = 8%2F99

Edwin