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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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