alt Hacker NewsI think, canonically, Monty always knows where the prize is, and will always eliminate all doors except for one, and will never eliminate a door with the prize, and will always give you a choice to switch. There's no room for Monty's motivation.
I think, canonically, Monty always knows where the prize is, and will always eliminate all doors except for one, and will never eliminate a door with the prize, and will always give you a choice to switch. There's no room for Monty's motivation.
Those assumptions are required for the usual explanation. But they are very rarely stated. And so the usual explanation is not logically solid.
You can't just sneak in the assumptions. You have to state them somewhere.