You're on a gameshow on tv.Onthisshow theidea is to win a car as a prize.Host shows you three doors. He says that there is a car behind one of the doors and there are goats behind the other two doors.He asks you to pick a door.You pick a door but the door is not opened.Then host opens one of the doors you didn't pick to show a goat (cause he knows what is behind the doors). Then hesaysthatyouhaveonefinal chance to change your mind before the doors are opened and you get a car or a goat.So he asks you if you want to change your mind and pick the other unopened door instead. What should you do?
This is the Monty Hall Problem. Always switch doors. Contrary to common sense, this gives you a 2/3 probability of winning the car.
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good explanation here
you can try it for yourself here http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html
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