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It is obvious. Why would he show the winning door? If he shows the winning door then the game is over and there is no reason to switch.
by chrismcb 9y ago
It is obvious. Why would he show the winning door? If he shows the winning door then the game is over and there is no reason to switch.
- FabHK 9y agoIf one doesn't know the show, it's not obvious. Imagine an alternative universe in which the policy of the host is to open a random door (of the two remaining ones). Then, if it's a car, the show is over. If it's a goat, well, you can switch or not, doesn't matter. The precise statement of the host's policy is fundamental to the whole problem, and it's these annoying vague formulations that lead to the endless discussions. And that, in turn, is the nice thing about the Mosteller Hall Puzzle variation in the article: it makes the host/guard's policy very clear, and in fact so clear that one intuitively understands the damn problem.
- dmurray 9y ago> If one doesn't know the show, it's not obvious. Imagine an alternative universe in which the policy of the host is to open a random door (of the two remaining ones) Yes, exactly. The wikipedia description is consistent with this alternative show. And if you say "that would make no sense as a game show", perhaps the contestant had to get through many other puzzles to get this far.