Here’s a surprising problem, from the xkcd blog.Suppose I choose two (different) real numbers, by any process I choose. Then I select one at random (p= .5) to show Nick. Nick must guess whether the other is smaller or larger. Being right 50% of the time is easy. Can he do better?Of course, it wouldn’t be an interesting question if the answer was no. Randall Munroe (author of the xkcd
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