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user-inactivated  ·  421 days ago  ·  link  ·    ·  parent  ·  post: Markov chains and binomial distribution - what is the nature of the relationship between them?

Unless the weather is really weird in your neck of the woods, your markov chain is irreducible and ergodic, so it has a stationary distribution. With two states, the state your process ends up in is a Bernoulli random variable.