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An instructor gives his class a set of 14 problems with the information that the next quiz will consist of a random selection of 7

An instructor gives his class a set of 14 problems with the information that the next quiz will consist of a random selection of 7 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly

(a) all 7 problems?

(b) at least 6 problems?

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