olymmath

HMMT 2012 C2

  • Combinatorics
  • Answer

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?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{19}{40}

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