Sunday August 14, 2011
Modelling a game of chance can provide an interesting computational problem.
Player 1 has five four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4.
Player 2 has four six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6.

Players 1 and 2 roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal.

What is the probability that Player 1 beats Player 2? Give your answer to as many decimal places as possible.

(This problem is based on one from Project Euler).
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