I'm asked to find the volume of a given bounded solid in $\mathbb{R}^3$ by MonteCarlo means: since it is contained in a prism, I generate random points in the prism and see what proportion of them lie inside my solid. The more points I have, the more precision I'll get.
The problem is I'm asked to give an error estimation as a function of the number of points $n$. I know there´s an easy expression when evaluating integrals using MonteCarlo methods, but can't find the way to give the analogue here. It may be related, but I'm not sure.
Either a derivation of the seeked expression or a hint to find the analogy will be appreciated. Thanks.