publication . Part of book or chapter of book . Preprint . 2001

The Kruskal Count

Jeffrey C. Lagarias; Eric Rains; Robert J. Vanderbei;
Open Access
  • Published: 13 Oct 2001
  • Publisher: Springer
  • Country: United States
The Kruskal Count is a card trick invented by Martin J. Kruskal in which a magician "guesses" a card selected by a subject according to a certain counting procedure. With high probability the magician can correctly "guess" the card. The success of the trick is based on a mathematical principle related to coupling methods for Markov chains. This paper analyzes in detail two simplified variants of the trick and estimates the probability of success. The model predictions are compared with simulation data for several variants of the actual trick.
free text keywords: Mathematics - Probability, Mathematics - Optimization and Control, 60J10, ATM card, Computer science, Markov chain, Algorithm, Geometric distribution, Standard 52-card deck, Kruskal's algorithm, Arithmetic, Deck
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