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c in dc
c in dc
1032 posts

Re: Let's Make a Deal

Mu Mu wrote:
Not sure I understand.

If I choose Door 1 (1/3 chance) and the host opens Door 3, which is empty, my odds on Door 1 stay at 1/3 while my odds on Door 2 go up to 2/3????

Maybe the way to look at this is that you are, in effect, trading your single door for the other 2 doors. You would obviously trade your single door for the other 2 before the host reveals one of them as empty.
In other words, the winning door will in the doors you did not pick 2/3 of the time, and revealing one of them as a loser does not change this probability.
Don't feel bad if you missed this; when the puzzle was first presented back in the day, hundreds of PhD types argued against the answer.
More here:

And here:

Jul 11, 2011, 23:08


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