The probability of cards meeting after a shuffle (Special Issue of the Faculty of Economics; Studies Presented to Prof. Hiroshi Izumi, Prof. Kazuko Mano on Their Retirement)
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概要
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Even after giving a standard 52-card deck a good shuffle, there will likely be instances where two cards with the same number end up next to each other. This article concerns my investigations into the probability of such ann occurrence. In the end I found that this is by no means an uncommmon event, there being a 21.7% probability of finding two cards of a given number adjacent, and a 95.4% chance of finding at least one pair of adjacent same-numbered cards. I made these calculations using combinations for up to 20 cards, and a random number-based simulation for the cases of 24 to 52 cards.
- 2012-07-15
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