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Let X0,X1,X2, be a Markov chain with state space {1, 2} and transition probabilities given as follows: p11 = 0.3, p12 = 0.7, p21 = 0.5, p22 = 0.5. Find the invariant probability of the chain. Find P(X2 = 1, X3 = 2,|X0 = 1).

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