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Suppose that you and another person are playing a simple dice game. In this game you take turns rolling a die, and the first person

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Suppose that you and another person are playing a simple dice game. In this game you take turns rolling a die, and the first person to get a one or two wins. Suppose you go first. (a) What is the probability that you win on the first roll? (b) What is the probability that you win on your second roll? (Note that for you to win on the second roll, it means you did not win on the first roll and the other person did not win on his or her first roll.) (c) What is the probability that you win on your kth roll? (d) What is the probability that you win the game

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