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- W3021095085 abstract "The question of the “fairness” of a deck of cards is distinct from questions of bias relating to coins, dice, or roulette. A deck of cards is fair if each outcome is enumerated and is represented identically as all others. The appropriate parameter for cards is randomness. Since the ordering of a deck is neither random nor nonrandom in itself, one must adopt a dynamic concept of randomness. The five types of processes that transform one ordering of a deck into another include a simple cut c translating the top card of the deck to the bottom. Another type is the perfect shuffle operation s on a 2 n -card deck that separates the top n cards from the bottom n cards and precisely interleaves them, the top and bottom cards remaining unchanged in position. The modified perfect shuffles constitute the same operation, but with the ( n + 1)st card moving to the top and the n th card to the bottom. The amateur shuffle operation divides the deck approximately into two groups of n cards and interleaves them singly or in clusters of 2, 3, or 4 according to some probability distribution." @default.
- W3021095085 created "2020-05-13" @default.
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- W3021095085 date "2010-01-01" @default.
- W3021095085 modified "2023-09-26" @default.
- W3021095085 title "The Play of the Cards" @default.
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- W3021095085 doi "https://doi.org/10.1016/b978-0-12-374940-6.00007-3" @default.
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