Markov chain and construct the transition matrix

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Suppose that three boys A, B, and C are throwing a ball from one 10 another. Whenever A has the ball he throws it to B with a probability of 0.2 and to C with a probability of 0.8. Whenever B has the ball he throws it to A with a probability of 0.6 and to C with a probability of 0.4. Whenever C has the ball he is equally likely to throw it to either A or B.

(a) Consider this process to be a Markov chain and construct the transition matrix.

(b) If each of the three boys is equally likely 10 have the ball at a certain time n, which boy is most likely 10 have the ball at time n + 2?

Reference no: EM131829850

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