This is so mind blowing to me, because I get what you’re saying logically, but my gut still tells me it’s a 50/50 chance.
But I think the reason it is true is because the other person didn’t choose the other 998 doors randomly. So if you chose any of the other 998 doors, it would still be between the door you chose and the winner, other than the 1/1000 chance that you chose right at the beginning.
Artisian@lemmy.world 1 year ago
I now recall there was a numberphile with exactly that visualisation! It’s a clever visual
TheSaneWriter@lemmy.thesanewriter.com 1 year ago
It really is, it’s how my probability class finally got me to understand why this solution is true.