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.