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(See Solution) Suppose you are on a selection committee at your university in charge of hiring 3 new Associate Deans. Assume that all 50 applicants for the

Question: Suppose you are on a selection committee at your university in charge of hiring 3 new Associate Deans. Assume that all 50 applicants for the three positions are equally qualified, and so you have very little basis for deciding who to hire. So you randomly scramble the applicants’ application folders and stack them on top of each other. You make offers to the first three applicants you pick from the top of the pile.

  1. If 20% of the applicants are minority applicants, calculate the probability that you end up making offers to 3 minorities.
  2. If 20% of the applicants are minority applicants, calculate the probability that you end up making offers to at least one minority

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