SOLUTION: A group contains 5 men and some women. In a random of selection, the probability that the first two people randomly picked were men, is 2/11. What is the probability that the third

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Question 432957: A group contains 5 men and some women. In a random of selection, the probability that the first two people randomly picked were men, is 2/11. What is the probability that the third person picked from the group is a woman?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
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let the total no. of people = n
5C2 / nC2 = 2/11
=> 10/nC2 = 2/11
=> nC2 = 55
so, n = 11
here 5 men and 6 women.
probability that third is woman = 6/9 = 2/3