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another puzzler
On Tue, 17 May 2011 20:01:06 GMT, Carey Carlan
wrote: (Don Pearce) wrote in news:4dd0c3d7.381246241 : That isn't the final situation. I will take this a step at a time. There are three doors - one with a car, two with goats I choose one. I have a 1 in 3 chance of being right That means there is a 2 in 3 chance of the car being in the other two I know for a fact that at least one of the other two is a goat. That does not change the odds - it is still 2 in 3 that the car is in one of those The host shows me one of the two - one he knows to contain a goat. This is not new information, I knew there was a goat there, I still know there was a goat there. The odds are still 2 in 3 that the car is in one of those two doors. Stop there. No, I didn't know there was a goat THERE. I knew there was a goat behind at least one of the door besides the one I chose, but I didn't know which one. Now a variable is removed from the equation. Revealing a goat behind a door doesn't change the odds? Of course it does. Otherwise, revealing the car behind a door also wouldn't change the odds. Once the host has revealed a goat, then there's an even chance that the car is behind one of the two remaining doors--and I have no information either way (unless you're counting the psychological factors) that the door I chose is or is not the correct one. Not trying to be argumentative, but I still don't see the logic. But now those 2 in 3 odds have been concentrated into the one remaining door of the two, which I will open because that is better than the 1 in 3 chance of it being my first choice. d Sorry, but if you don't get it by now, you simply aren't going to. Give up and try something else. d |
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