Lemma practice generator two-state-markov #1,573 · Probability · Markov chains

Long-run behaviour of a two-state chain

A two-state chain moves 0 → 1 with probability $\frac{4}{9}$ and 1 → 0 with probability $\frac{5}{8}$ . Starting in state 0, what is the probability of being in state 0 after two steps?

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