In the game of craps, there are two ways a player can win

Chapter 10, Problem 57

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In the game of craps, there are two ways a player can win a pass line bet. The player wins immediately if two dice are rolled and their sum is 7 or 11. If their sum is 4, 5, 6, 8, 9, or 10, the player can still win a pass line bet if this same number (called the point) is rolled again before a 7 is rolled. Find the probability that the player wins (a) a pass line bet on the first roll (b) a pass line bet with a 4 on the first roll (c) on any pass line bet

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