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The basic game of craps works as follows You throw

The basic game of craps works as follows. You throw two dice. If the sum of the two faces showing up is 7 or 11, you win and the game is over. If the sum is 2, 3, or 12, you lose and the game is over. If the sum is anything else (4, 5, 6, 8, 9, or 10), that value becomes your “point.” You then keep throwing the dice until the sum matches your point or equals 7. If your point occurs first, you win and the game is over. If 7 occur first, you lose and the game is over. What is the probability that you win the game?

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