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A Markov chain {Xn}on the states 0, 1 and 2 has the transition mitrix T = .1 .2 .6 .2 .2 .1 .7 .6 .3

A Markov chain {Xn}on the states 0, 1 and 2 has the transition mitrix T = .1 .2 .6 .2 .2 .1 .7 .6 .3 (a) What is the probability X3 = 1 given that X1 = 0. (b) What is the probability X3 = 1 given that X0 = 0.

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