Problem
Problem of the Day #14
POTD December 3, 2023
Author: munch
Three circles each with radius 1 have their centers chosen randomly and independently from the points making up a circle of radius 2. The probability that no two of the circles of radius 1 intersect can be expressed in the form \frac{m}{n} , where m and n are relatively prime positive integers. Find m + n.
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