Grinstead-Snell-Probability · Problem 7.1.11

Sums of Random Variables

Mathematics · sums-discrete-random-variables-convolution

Problem

Assume that you are playing craps with dice that are loaded in the following way: faces two, three, four, and five all come up with the same probability (1/6)+r(1/6) + r. Faces one and six come up with probability (1/6)−2r(1/6) - 2r, with 0<r<.020 < r < .02. Write a computer program to find the probability of winning at craps with these dice, and using your program find which values of rr make craps a favorable game for the player with these dice.

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