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A Markov chain {X n : n = 0, 1, 2, . . .} has the transition probability matrix P = ( 0.5 0.4 0.1
A Markov chain {Xn : n = 0, 1, 2, . . .} has the transition probability matrix
P = ( 0.5 0.4 0.1
0.2 0.4 0.4
0.4 0.1 0.5 )
If it is known that the process starts in state 0, determine the probability P(X3 = 2).
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