I can't remember if this is the logic exactly, but it goes something like this. When you made the first choice, you had a 1/3 chance of picking the correct door. Once the first door is opened, there is then a 50% chance that the other door hides the car, which is better odds than you had when you picked the first door, so you should change your answer at this point.
Sounds stupid, but I think the math works.
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Andrew
Sounds stupid, but I think the math works.
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Andrew
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