# Question

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 and

(b) 8 people?

For part (b), what is the probability that the interviewer will speak to exactly

(c) 6 people and

(d) 7 people on the list?

(a) 5 people and

(b) 8 people?

For part (b), what is the probability that the interviewer will speak to exactly

(c) 6 people and

(d) 7 people on the list?

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