The Amateur Chemist

Math Stuff

Random picture I found...

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See if you can figure this one out...  I could never get it and neither could many of my friends. Heck, I'm not even really sure if there is an answer or if they're just trying to mess with you...

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Monty Hall Problem 

You gotta love the monty hall problem. It is a probablility puzzle that has confounded many smart people.  

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

Most people will say it doesn't matter if you switch or not. There are now 2 doors, one with a goat and one with a car. Whether you switch or not, your door will still have a 50% chance of having the car behind it.  

This reasoning is flawed however. In reality, if you stay with your original door, you have a 1/3 of getting the car, and if you switch you will have a 2/3 chance of getting the car. Confused? I'm not going to try to explain it, since I would probably just leave you and myself more confused than when we began, so I'll leave some links to some people that can explain this problem well.