Posted by **Mathslover** on Monday, May 27, 2013 at 6:39am.

Let S be a set of 31 equally spaced points on a circle centered at O, and consider a uniformly random pair of distinct points A and B (A,B∈S). The probability that the perpendicular bisectors of OA and OB intersect strictly inside the circle can be expressed as mn, where m,n are relatively prime positive integers. Find m+n

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