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Tennis with Markov

In the game of tennis, if the probability that player \(A\) wins a point against player \(B\) is a constant value \(p\), then the probability that \(A\) will win a game from deuce is \(p^2/(1 - 2p + 2p^2)\).  This result has been obtained in a variety of ways, and the authors use a formal Markov chain approach to derive it.

Old Node ID: 
3704
MSC Codes: 
60-XX
Author(s): 
Roman Wong (Washington and Jefferson College) and Megan Zigarovich (Washington and Jefferson College)
Publication Date: 
Saturday, July 16, 2011
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 2007
Subject(s): 
Statistics and Probability
Probability
Topic(s): 
Linear Algebra
Application: Markov
Stochastic Processes, Discrete Markov Chains
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
5.00
Rating Sum: 
15.00
Rating Average: 
3.00
Applicable Course(s): 
3.8 Linear/Matrix Algebra
6.1 Probability & Statistics
Modify Date: 
Sunday, August 26, 2012
Average: 3 (5 votes)

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