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A graduate admissions committee has finally come to realize that it cannot make valid distinctions among the top applicants. This year the committee rated all

A graduate admissions committee has finally come to realize that it cannot make valid distinctions among the top applicants. This year the committee rated all 500 applicants and randomly chose 10 from those at or above the 80th percentile. What is the conditional probability that the person with the highest rating will be admitted

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