The fact that the show host knows what's behind the doors and never chooses a door with the prize behind it is crucial. The host leaks information about what's behind, as he chooses a door.
I was told about this problem and the person telling it didn't say anything about that, just that you pick a door and the host opens another one which doesn't have a prize behind it. So I thought the probabilities don't change at all because the host just picked a random door. Then everyone who heard of the problem before piled against me like I'm a dumbass, but never really explaining why I was wrong.
I was told about this problem and the person telling it didn't say anything about that, just that you pick a door and the host opens another one which doesn't have a prize behind it. So I thought the probabilities don't change at all because the host just picked a random door. Then everyone who heard of the problem before piled against me like I'm a dumbass, but never really explaining why I was wrong.
Yes, I'm still salty about it.