MathDB

A random triangle is produced as follows. A pair of standard dice is rolled independently three times to get three random numbers between 2 and 12, inclusive, by adding the numbers that come up on each pair rolled. Call these three random numbers

a

b

, and

t

. The random triangle has two sides of lengths

a

and

b

with the angle between them measuring

15(t - 1)

degrees. What is the probability that the triangle is a right triangle?

Problem Statement