Josef “Jeff” Sipek

Here's a fun math problem...

Suppose there are n people. Each person has a hat.

Now, you collect all the hats, and distribute them back randomly. There is a certain probability that no one will get their own back.

What is the limit of this probability as n approaches infinity?

Hint: It's a probability, so it'll be in the [0,1] range.

(I'll post a solution in a few days.)

Last night I stumbled across the Monty Hall problem. At first it seems completely counter-intuitive, but when you think about it, the host reveals information about your choice by purposefully opening a door with a goat.