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Suppose you have $3 and a fair penny. At each round, you flipthe penny. If it lands heads-up, you gain a dollar. If it lands

Suppose you have $3 and a fair penny. At each round, you flipthe penny. If it lands heads-up, you gain a dollar. If it lands ontails, you lose a dollar. You stop the game when you have either $5or $0. What is the probability of each outcome? Hint: The nodes inyour Markov chain should be the dollar amounts, $0-$5.

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