3 ms·
It's much clearer if instead of 3 doors, you use a big number, let's say 100 doors. So you pick one of the 100 doors, then the host closes 98 other doors that
by ehsankia 9y ago
It's much clearer if instead of 3 doors, you use a big number, let's say 100 doors.
So you pick one of the 100 doors, then the host closes 98 other doors that are guaranteed to be wrong. Now, you can chose between that one door you started with, or go with the one door that's left after the host removed 98 wrong doors. Intuitively, which one is more likely to be right? The one you randomly picked out of 100, or the one left after 98 doors were discarded?
- tomalpha 9y agoThanks and yes it does make more sense when posed like that. I still (as something I consider a personal failing) end up intuiting a probability of 50%. It remains fascinating to me how different people’s brains perceive the world differently. At least I tell myself that when struggling through subjects I find tougher :)
- xorcist 9y agoThat only makes sense once you already know and internalized the right answer. Had the original problem been stated "the host closes all doors guaranteed to be wrong" it would not be remotely as unintuitive.