Now let me answer my own question. I think I like this one. if we just increase the scale, it seems much more obvious. We have 100 lottery tickets (and one is the winner). I choose one. The probability that one of the remaining 99 is the winner is 99/100. Then someone removes all but one of those 99 saying that they are all losers. Then it seems obvious that you'd want to switch. I don't have the exact math at my fingertips for this one but my intuition feels much better about it. sigh.
BTW
here's where I found this.