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An interviewer is given a list of people she can interview. If the interviewer needs to interview 5 people, and if each person (independently) agrees

An interviewer is given a list of people she can interview. If the interviewer needs to interview 5 people, and if each person (independently) agrees to be interviewed with probability 2 3 , what is the probability that her list of people will enable her to obtain her necessary number of interviews if the list consists of (a) 5 people; (b) 8 people.

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