From Bocce to Positivity: Some Probabilistic Linear Algebra

Author: Morrison Kent E.  

Publisher: Mathematical Association of America

ISSN: 1930-0980

Source: Mathematics Magazine, Vol.86, Iss.2, 2013-04, pp. : 110-119

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Abstract

A question in geometric probability about the location of the balls in a game of bocce leads to related questions about the probability that a system of linear equations has a positive solution and the probability that a random zero-sum game favors the row player. Under reasonable assumptions, we are able to find these probabilities.