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***CaptHayfever*** · 06-23-2009, 10:43 PM

^That answer is right, but the reasoning is a bit off:
Spoiler Below

If he opens door #1, then the usual Monty Hall Problem conditions are in effect, where the probability is 2/3 for switching, not just 50%. (Though I still think it should be 50%, but that's a rant I don't wanna get into right now.)

If he opens door #2, though, that means the car is absolutely behind door #1, so if you've already picked door #1, the odds are 0 for switching, while if you've picked #3, the odds are 100%.

But it does all add up to 2/3 like you have.

And remember, "I'm-a Luigi, number one!"

06-23-2009, 10:43 PM	#4
*CaptHayfever* Smash SuperMod Join Date: Jul 2002 Location: (n) - the place where I am Gender: Posts: 27,642 Thanks: 1,989 Thanked 2,483 Times in 1,510 Posts	^That answer is right, but the reasoning is a bit off: Spoiler Below If he opens door #1, then the usual Monty Hall Problem conditions are in effect, where the probability is 2/3 for switching, not just 50%. (Though I still think it should be 50%, but that's a rant I don't wanna get into right now.) If he opens door #2, though, that means the car is absolutely behind door #1, so if you've already picked door #1, the odds are 0 for switching, while if you've picked #3, the odds are 100%. But it does all add up to 2/3 like you have. And remember, "I'm-a Luigi, number one!"