1 A committee of size 4 is to be chosen from a group of 6 men and 8 women. The 4 names are to be chosen randomly "out of a hat". (a) Describe the sample space for this situation (but don't try and list all the sample points!) and calculate the probability of selecting any given committee. (b) What is the probability that a committee will have a balance of two men and two women? (c) What is the probability that at least one woman will be selected?

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