Craps. The following are the rules for a pass bet in the game of craps. Roll two six-sided dice, and let x be their sum.
• If x is 7 or 11, you win.
• If x is 2, 3, or 12, you lose.
Otherwise, repeatedly roll the two dice until their sum is either x or 7.
• If their sum is x, you win.
• If their sum is 7, you lose.
Write a modular program to estimate the probability of winning a pass bet. Modify your program to handle loaded dice, where the probability of a die landing on 1 is taken from the command line, the probability of landing on 6 is 1/6 minus that probability, and 2–5 are assumed equally likely. Hint: Use StdRandom.discrete ().
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