MathDB
2016-2017 Fall OMO Problem 2

Source:

November 16, 2016

Problem Statement

Yang has a standard 66-sided die, a standard 88-sided die, and a standard 1010-sided die. He tosses these three dice simultaneously. The probability that the three numbers that show up form the side lengths of a right triangle can be expressed as mn\frac{m}{n}, for relatively prime positive integers mm and nn. Find 100m+n100m+n.
Proposed by Yannick Yao