# 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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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