SWC75
Bored Historian
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- Aug 26, 2011
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It took me 20 hours to figure out that it is absolutely twice as likely that its door number 2!
Door number one is a 1/3 chance. Doors 2 and 3 combined are a 2/3 chance. Monte does the contestant a huge favor by saying that Door number 3 is not it. So that means that number 2 has the full 2/3 chance.
Showing a non-car door does not change the 1/3 chance for door number 1. Again the bottom line is that doors 2 and 3 combined are a 2/3 chance, and Monte let the contestant know that the 2/3 chance is in door number 2 by opening door number 3.
That's quite a tough one to get your head around!
Yeah, that's the second option. But why does it rule over the first option?