I'm not sure I've seen this puzzle before, and I really like it:

We have n keys and n boxes. Each key fits only one box. We shuffle the keys and put one in each box. Then we randomly break open 1≤k≤n boxes. What is the probability that we can unlock all the other boxes?

Christian Lawson-Perfect@christianp@mathstodon.xyz@orko no, because unlocking one box gives you another key