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Linear AlgebraEasyMarkov Chains & Long-Run Behavior

Markov Chains & Long-Run Behavior · Easy problem

A two-state chain leaves state 1 with probability 0.10.1 at each step. In the long run it spends 75%75\% of its time in state 1. What is the probability that it leaves state 2 at each step? Express your answer as a decimal.