The 37% Rule

September 21, 2018

You have to hire a new programmer from a pool of 100 applicants. One method is to interview all 100 and hire the best, but that takes a while. Mathematicians have developed the 37% rule:

Examine 37% of the candidates, knowing in advance you will not select any of them. Then examine the remaining candidates one-by-one, choosing the first of them that is better than any of the first 37%.

Your task is to simulate this process and determine how close you get to the optimal candidate. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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