Danny ChaiI have no idea who left the last comment on my puzzle post, but whoever you are, stop calling other people idiots. You’re the idiot. The expected value is not $125, and I can only assume your understanding of probability theory is lacking, or you’re confusing this problem with something else, perhaps the Monty Hall problem. Either way, you’re the one who’s wrong.
Here’s a different presentation of the same problem from rec.games. And here’s a solution for it.