Nick takes half-court shots on a basketball court. He is a streaky shooter, so his shot outcomes are not independent. If Nick made his last shot, then he makes his current one with probability a. If Nick missed his last shot, then he makes his current one with probability b, where b < a. Modeling Nick’s sequence of half-court shot outcomes as a Markov chain, what is the long-run probability that he makes a half-court shot?
Nick takes half-court shots on a basketball court. He is a streaky shooter, so his shot outcomes are not independent. If Nick made his last shot, then he makes his current one with probability a. If Nick missed his last shot, then he makes his current one with probability b, where b < a. Modeling Nick’s sequence of half-court shot outcomes as a Markov chain, what is the long-run probability that he makes a half-court shot?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 9EQ
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Nick takes half-court shots on a basketball court. He is a streaky shooter, so his shot outcomes
are not independent. If Nick made his last shot, then he makes his current one with
If Nick missed his last shot, then he makes his current one with probability b, where b < a.
Modeling Nick’s sequence of half-court shot outcomes as a Markov chain, what is the long-run
probability that he makes a half-court shot?
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