Monte Carlo approximation of pi using importance sampling with shots coming out of a Mossberg 500 pump-action shotgun

A Ballistic Monte Carlo Approximation of π

We compute a monte carlo approximation of the value of @xmath0 using importance sampling with shots coming out of a mossberg 500 pump-action shotgun as the proposaldistribution.An approximated value of 3.131 is obtained, corresponding to a 0.33% error on the exact value of @xmath0.This represents the first attempt at estimating @xmath0 using such method, thus opening up new perspectives towards computing mathematical constants using everyday tools.