5 Let Xt be the location of your token on the Monopoly board after t dice rolls....

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5 Let Xt be the location of your token on the Monopoly board after t dice rolls. Can Xt be modeled as a Markov chain? If not, how can we modify the definition of the state at time t so that X0, X1, . . . , Xt, . . . would be a Markov chain? (Hint: How does a player go to Jail? In this problem, assume that players who are sent to Jail stay there until they roll doubles or until they have spent three turns there, whichever comes first.)

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