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Versatile Coins

Year of Award: 1994

Publication Information: The American Mathematical Monthly, vol. 100, 1993, pp. 26-33

Summary: This article discusses the problem of one probability \(p\) simulating a second probability \(q\), meaning that with a coin that comes up heads with probability \(p\), we can simulate in a finite number of tosses the behavior of a coin that comes up heads with probability \(q\). The particular question throughout is to characterize the sets of probabilities for which there is a single coin that simulates every element in the set.

 

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About the Authors: Dan Velleman was at Amherst College at the time of publication, and Istvan Szalkai was at University of Veszprém, Hungary.

 

Author (old format): 
Dan Velleman, Istvan Szalkai
Author(s): 
Dan Velleman and Istvan Szalkai
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Publication Date: 
Tuesday, September 23, 2008
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This article discusses the problem of one probability \(p\) simulating a second probability \(q\), meaning that with a coin that comes up heads with probability \(p\), we can simulate in a finite number of tosses the behavior of a coin that comes up heads with probability \(q\). The particular question throughout is to characterize the sets of probabilities for which there is a single coin that simulates every element in the set.

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