Hats
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.)