Probability that three points chosen at random

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If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?

I know that for us to have a right triangle, the two points should form the diameter of the circle. What I have done is that I divided the problem into two sections.

Section I: n even

Section II: n odd

When n is even it is easier to find the probability but I can't find the right answer (both for n= even and n= odd).

Reference no: EM13960244

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