Question

10 men and 5 women are meeting in a conference room. Four people are chosen at...

10 men and 5 women are meeting in a conference room. Four people are chosen at random from the 15 to form a committee.

a) What is the probability that the committee consists of 2 men and 2 women?

b) Among the 15 is a couple, Bob and Jane. What is the probability that Bob and Jane both end up on the committee?

c) What is the probability that Bob ends up on the committee but Jane does not?

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