Imagine points in a plane with a uniform density. To use a simple model, consider just a finite region such as the unit circle and randomly place M points into that unit circle. By uniform density, I mean that any infinitesimal area anywhere in the unit circle has the same probability of containing a point. How would I find the probability as function of M of finding one or more points within a circle of radius r≤1? BTW, this is not a homework problem.