Five white balls and five black balls are distributed in two urns in such a way that

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Five white balls and five black balls are distributed in two urns in such a way that each urn contains five balls. At each step we draw one ball from each urn and exchange them. Let X_n be the number of white balls in the left urn at time n.

(a) Compute the transition probability for X_n.

(b) Find the stationary distribution and show that it corresponds to picking five balls at random to be in the left urn.

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Elementary Probability For Applications

ISBN: 9780521867566

1st Edition

Authors: Rick Durrett

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Question Posted: Feb 27, 2024 03:00 AM

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Five white balls and five black balls are distributed in two urns in such a way that

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Elementary Probability For Applications

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