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About: Frustration (solitaire)     Goto   Sponge   NotDistinct   Permalink

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Frustration is a solitaire game with roots in the 1700s, and is similar to but opposite of Hit or Miss. It relies purely on luck rather than on skill, and has been both mathematically analyzed and discussed in popular media.This is an example of a derangement problem in combinatorial mathematics, which can be understood using a combinatorial tool called a rook polynomial.The probability of winning the game has been determined exactly, and is approximately 1.6233%.The same technique can be applied to variations of the game that use different numbers of suits, and different numbers of cards per suit.