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Probability of winning game

Monte Carlo Simulation for Determining Probabilities 1. Determining the probability of winning at the game of craps is difficult to solve analytically. We will assume you are playing the `Pass Line.'  So here is how the game is played: The shooter rolls a pair of dice. If she rolls a 7 or an 11, she wins. If she rolls a 2, 3, or 12, she loses. If she rolls anything else (4, 5, 6, 8, 9, 10), it is called a point. She keeps rolling until that point is rolled again (win) or a 7 is rolled (loss). For example, if the shooter rolls a 9 on the first roll (the point is set to 9), she keeps rolling until a 9 is rolled again, in which case she wins and the game ends. If a 7 is rolled before the 9, she loses and the game ends. Simulate this game using a computer program.

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