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(10 points) The transition matrix P of a Markov chain with two states is 0.8 0.2 0.4 0.6 If the initial state is picked at

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(10 points) The transition matrix P of a Markov chain with two states is 0.8 0.2 0.4 0.6 If the initial state is picked at random with equal probabilities, what is the probability that the chain is in state 1 in step 2

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