Question: Problem 5. (20 points) In the secretary problem, assuming that we reject the first n/2 candidates, and after that pick the first candidate who is

Problem 5. (20 points) In the secretary problem, assuming that we reject the first n/2 candidates, and after that pick the first candidate who is better than all but at most two of the candidates interviewed. Whenever needed you can assume that n is sufficiently large. What is the probability to hire one of the top 10 candidates? Don't try to compute the exact probability, but try to give a good lower bound on this probability

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