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Some presentations of the problem leave it ambiguous, but this article makes it clear that the host always opens a door to reveal a lemon. In this correctly sta
by mrob 9y ago
Some presentations of the problem leave it ambiguous, but this article makes it clear that the host always opens a door to reveal a lemon. In this correctly stated version of the Monty Hall problem, switching always improves your chances.
- yorwba 9y agoThe description in the article is > The contestant must pick a door, and then the host opens one of the two doors the contestant didn't pick, to reveal a lemon. I'm not a native English speaker, but I think this is ambiguous between "to reveal a lemon" specifying the reason or the outcome. At least I seem to remember constructions like "They tried again and again, only to fail each time.", which obviously aren't about motivation.
- mrob 9y agoI retract my statement that it's unambiguous. The article leaves the possibility that the host didn't know where the car was and revealed a lemon only by chance. In this case there's no reason to switch doors. The host has to know where the car is and always reveal a lemon.