olymmath

HMMT 2017 C1

  • Combinatorics
  • Answer

Kelvin the Frog is going to roll three fair ten-sided dice with faces labelled 0,1,2,…,90,1,2, \ldots, 9. First he rolls two dice, and finds the sum of the two rolls. Then he rolls the third die. What is the probability that the sum of the first two rolls equals the third roll?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{11}{200}

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