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Omni-MATH / Brian has a 20-sided die with faces numbered from 1 to 20, and George has three…

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problem

Brian has a 20-sided die with faces numbered from 1 to 20, and George has three 6-sided dice with faces numbered from 1 to 6. Brian and George simultaneously roll all their dice. What is the probability that the number on Brian's die is larger than the sum of the numbers on George's dice?

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