Question: The contestant will begin in a completely random room. Consider the Markov chain X0, X1, . . . , where Xn is the room that

The contestant will begin in a completely random room. Consider the Markov chain X0, X1, . . . , where Xn is the room that the contestant is in at time n. (a) What is the probability that room X1 has a car, if the contestant always switches doors when playing a standard Monty Hall game

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