Assume that you begin the game of throwing a dice in the, Operation Management

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Assume that you begin the game of throwing a dice in the

Assume that you begin the game of throwing a dice. In the game, you lose $1 if your dice shows a multiple of 3, or earn $1 otherwise. You have $2 initially, and you nish the game either when you lose all your money or when you earn $4. solve by markov chain

(a) What is the probability that you will earn $4?

(b) How long does it take for you to nish the game?

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