Three people are assigned real numbers from (0,1), chosen uniformly at random. Each person knows their own number, but knows nothing about anybody elses number. You may ask a single yes/no question to the three people (one question, all three people will answer is at the same time). After that question, you must select which person has the largest number. What question maximizes your chance of success?If you feel up to it, generalizing from three to N is the hard part. I'm still working on that.
Random People Numbers
So, a new puzzle that I was chatting about with Ben last night which has a slightly surprising solution in a simpler case:
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