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A coin toss is a simple example of a common Markov chain.  The weather, viewed simplistically, is another example: the likelihood of whether it rains tomorrow does not depend on whether it rained last week.  Word prediction when typing on smart phones is another example.  In these processes the prior history is irrelevant to the next state.  Put another way, a Markov chain has no memory.

A coin toss is a simple example of a common Markov chain.  The weather, viewed simplistically, is another example: the likelihood of whether it rains tomorrow does not depend on whether it rained last week.  Word prediction when typing on smart phones is another example.  In these processes the prior history is irrelevant to the next state.  Put another way, a Markov chain has no memory.

Several [[parables]] and [[miracle]]s in the [[Bible]] are illustrations of Markov chains, which can be surprising at first yet completely logical upon further thought.

Several [[parables]] and [[miracle]]s in the [[Bible]] are illustrations of Markov chains, which can be surprising at first, yet completely logical upon further thought.

An entire field of [[mathematics]] developed based on the logic of Markov chains.

An entire field of [[mathematics]] developed based on the logic of Markov chains.