[2016-05-09] PoW [Sprint #11]
Solution
Total number of triangle possible: all equiprobable.
Number of right triangle: each vertex has 2 triangles with right angle at the vertex. Thus a total of 6x2=12 right triangles.
Answer is 12/20.
Three distinct vertices of a regular hexagon are chosen at random and a triangle is formed by joining the three vertices. What is the probability that the triangle formed is a right triangle? Express your answer as a common fraction.