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).