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Fair coin tosses: are these Markov chains

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Let a fair coin be tossed indefinitely. Denote respectively by H_n and T_n the total number of heads and tails after n tosses. Let X_n = H_n and Y_n = H_n - T_n. Are these Markov chains? If so, what is their transition matrix?

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Solution Summary

This solution explains whether a given series is a Markov chain and calculates their transition matrix.

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