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[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.