There are three stores, every day Steve will buy something from one of the stores. If yesterday Steve went to store 1 .Today probability 0.5 that he will visit store 2, probability 0.25 he will visit store 3, and probability 0.25 for visiting store 1 again. If yesterday Steve went to store 2. Today, probability 0.33 that Steve will go to store 1, and probability 0.67 he will visit store 3. If yesterday Steve went to store 3, then today he will visit store 1 and store 1 or 3 with probability 0.5 and 0.5 respectively. If Steve goes to store 1 today, on average, calculate the days before Steve goes to store 1 again.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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There are three stores, every day Steve will buy something from one of the stores. If yesterday Steve went to store 1 .Today probability 0.5 that he will visit store 2, probability 0.25 he will visit store 3, and probability 0.25 for visiting store 1 again. If yesterday Steve went to store 2. Today, probability 0.33 that Steve will go to store 1, and probability 0.67 he will visit store 3. If yesterday Steve went to store 3, then today he will visit store 1 and store 1 or 3 with probability 0.5 and 0.5 respectively. If Steve goes to store 1 today, on average, calculate the days before Steve goes to store 1 again.

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