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the answer is switch because when you first pick you have a 1/3 chance of getting the car and a 2/3 chance of picking a goat, when the host opens up one of the other doors with a goat there is now a 2/3 chance that the car is in the other door you did not pick. if you run through the possibilities you will see: lets say you always pick door number one so 1. goat 2 car 3 goat ....... 1 car 2 goat 3 goat .... 1 goat 2 goat 3 car... you can see that twice out of three times you will get the car by switching

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