The Monty Hall Problem

I am back in Kuala Lumpur again. Pfah! Went to KLCC with my mom and brother yesterday and sampled more than enough fragrances to cause severe nose-block. Dad's birthday is coming up and besides taking him out to dinner, we decided to get him the Calvin Klein Eternity for men too. Mom wanted to get him something from Gucci, but it smelled more pungent than an insect repellant. My brother thought the same thing too. Ran into Kino before it closed. Brother wanted to get the new BLAME! manga and i hung out at the usual Selected Titles section. I should control myself everytime i happen to be in Times Square or KLCC. I just need to take a look in Borders and Kino and end up buying something. It was the same last night. Bought The Curious Incident Of The Dog In The Night-Time by Mark Haddon. 1/3 into it already and it's really good. I kind of like The Memory Keeper's Daughter by Kim Edwards too. Ehem.... I definitely wouldn't mind getting it as a gift...?

Christopher Boone is a genius with autism. Sounds ironic, does it not? Anyways, he explained the Monty Hall Problem. Imagine this:

You are on a game show on television. On this game show, the idea is to win a car as a prize. The game show 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 the game show hosts opens one of the doors you didn't pick to show a goat (because he knows what is behind the doors). Then he says you have one final chance to change your mind before the doors are opened and you get the 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?

What would you do? Should you change your decision or stick to it? If you decide that your chances are 50:50, you are wrong. Instead, if you decide to change your decision and pick the other door, your chances of winning the car is 2 out of 3. That's 66.6667% compared to 50%. Sounds weird? Try to figure it out. The solution is very easy.