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The Monte Hall problem
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[QUOTE="sutomcat, post: 5079183, member: 27"] Sigh. These are two separate choices you can make as a game show participant. You make the 1 of 3 choice, which I think we can all agree gives you a 33.3% (or thereabouts) chance of being right. At this point, you have a 67.7% (or thereabouts) chance of being wrong. If you then switch after one of the goat rooms is revealed, you are done with the 1 of 3 option. You have changed to a new game, where there are two rooms in play and you have a 1 of 2 chance to pick the right one. When you switch to playing the second game, you have a 50-50 chance of being right. In both games, the possible options add to 100%. The thing is, the [B]only[/B] way you can change from the 1 of 3 game to the 1 of 2 game is if you switch rooms. That is why you should always switch. [/QUOTE]
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