Answered: If she made the last free throw, then…

If she made the last free throw, then her probability of making the next one is 0.6. On the other hand, If she missed the last free throw, then her probability of making the next one is 0.5.

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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Question

If she made the last free throw, then her probability of making the next one is 0.6. On the other hand, If she missed the last free throw, then her probability of making the next one is 0.5.

Assume that state 1 is Makes the Free Throw and that state 2 is Misses the Free Throw.

1.) Find the transition matrix for this Markov process.

2.) Find the two-step transition matrix P(2) for this Markov process.

3.) If she makes her first free throw, what is the probability that she makes the third one?

4) If she misses her first free throw, what is the probability that she makes the third one?

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