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Lagarias, Jeffrey C.; Rains, Eric; Vanderbei, Robert J. (2001)
Languages: English
Types: Preprint
Subjects: Mathematics - Optimization and Control, Mathematics - Probability, 60J10
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.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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