Please help explain law of probability?

  • Thread starter Thread starter DowntoEarth
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DowntoEarth

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In the movie 21, they talk about the gameshow where there are 3 doors and behind 2 are goats (or something), and behind another, a new car. Say you pick door #1, and the host walks over to door #3 and opens it, showing a goat, then asks if you want to change your answer. The normal person would keep their door, but the star of 21 says that if you change your door you have a 66% chance of winning the car, rather than 50%. Please help explain why?
 
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