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Old 23-07-2005, 16:05   #4
nffc
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Re: Wiki - The Monty Hall problem

Quote:
Originally Posted by TheBlueRaja
http://en.wikipedia.org/wiki/Monty_Hall_problem

Okay people - debate - i say they are talking buttkiss because after the host opens the door and shows that there is a goat behind it there is a 50/50 chance of the player winning at this point - so therefore switching wont increase the odds of winning.

Right?
eww, no.

3 doors, 2 goats, 1 car.
Dood chooses which could be either a goat or a car... 1/3 it's the car, 2/3 it's the goat.
Host opens other which reveals goat. We know 1 of the three doors is the goat.

For each of the other two doors there's now a 50:50 (1/2) chance that the door he's picked is the car. There's an equal probability it's the goat.

If anything by NOT switching his chances of the car being behind the original pick has INCREASED from 1/3 to 1/2.

That make sense... (to add to what Graham said!)
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