Hat-Check Problem/Examples/3

Example of Hat-Check Problem

 * $p_3 = \dfrac 1 3$

Proof
When $n = 3$, there are only three hats to hand back.

Hence:


 * $p_3$ is roughly $0.0345$ (or less than $\dfrac 1 {4!}$) away from the estimate of $\dfrac 1 e$.