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Let Xn be a discrete time markov chain with S={0,1,2} and initial distribution as (0.5,0,0.5) and the following transition matrix: T = 1/3 2/3 0

Let Xn be a discrete time markov chain with S={0,1,2} and initial distribution as (0.5,0,0.5) and the following transition matrix:

T = 1/3 2/3 0

1/2 0 1/2

0 1 0

Find

P(X8=1|X3=1)

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