An urn contains two red and two green balls. The balls are chosen at random, one by one, from the urn. If a red ball is chosen, it is removed. Any green ball that is chosen is returned to the urn. The selection process continues until all of the red balls have been removed from the urn. a) Define Xn for this Markov chain. b) ) Define the state space S. c) Find a transition probability matrix

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An urn contains two red and two green balls. The balls are chosen at random, one by one, from the urn. If a red ball is chosen, it is removed. Any green ball that is chosen is returned to the urn. The selection process continues until all of the red balls have been removed from the urn.

a) Define Xn for this Markov chain.

b) ) Define the state space S.

c) Find a transition probability matrix P.

Please answer parts a, b, and c.

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