Hat-Check Problem/Examples/8

Example of Hat-Check Problem

 * $p_8 = \dfrac {2119} {5760}$

Proof
When $n = 8$, there are eight hats to hand back.

Hence:


 * $p_8$ is roughly $0.0000025$ (or less than $\dfrac 1 {9!}$) away from the estimate of $\dfrac 1 e$.