I BET you'll get this PUZZLE wrong !!

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This is actually simple math.. But most of us (including me) will get it wrong!! Even after reading the answer, I'm sure many wouldn't be ready to agree or accept(which also includes me.. But later I managed to understand the beauty of the puzzle)!! Its called The Monty Hall Problem, and is very famous.. If you saw the movie 21, then you might know the answer.. THE PUZZLE You enter a room with three doors.. The instructor tells you that there are goats behind two doors and an expensive car behind one(Remember that the instructor knows what's behind what).. He lets you open one of the doors and take away with you whatever you find in there.. Obviously you can only guess as each door has an equal chance of having the car.. Let's say you choose door 1.. Now the instructor opens door 3 to show you a goat in it.. He then tells you that if you would like to switch to door 2 you can(Remember that he is not trying to trick you nor is he biased towards anyone. Its just part of the procedure).. What will you do?? Will you stick to door 1 or switch to door 2 ?? Also give reasons.. ANSWER [Warning!! SPOILERS!!!] Don't read this until you are ready with your answer.. Most of you will: Stick to door 1 as you think that each only has a 50% chance and switching doesn't matter.. But the truth is that, switching increases your chances.. Explanation: Initially, you had a 1/3 chance of choosing the car, ie, a 2/3 chance of choosing a goat.. After he reveals you a goat, there is 2/3 chance that door 1 is a goat and 1/3 chance that it is a car.. That means that if you switch to door 2, then your chances of winning a car are 66.7% and not 50%.. If you don't switch, then your chances of winning are only 33.3%.. Still haven't got it?? Then go the Wikipedia page entitled "Monty Hall problem".. Just search it in google.. I know how hard it is to accept this solution!!