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The probability that there are 1,2,3 or 4 men is 1-(the probability that no men are selected). First we select the first person. The probability that this person is a woman is 5/10=1/2. For second person it is 4/9, then 3/8 and finally 2/7. We multiply these together: (1*4*3*2)/(2*9*8*7)=24/1008. This is the probability that every single person in the committee is a woman. One minus that probability is 984/1008=41/42 which is 97.619%

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Q: A group of 10 people consists of 5 men and 5 women A committee of 4 is chosen from this group What is the probability that one or more of the committee members is a man?
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