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Posted by Denis Borris on 22/9/2009, 1:48 am, in reply to "My favorite probability puzzle of all time."
Yikes! I'll try for best strategy:
1: Bob and Alice decide which 2 doors Bob will try; make it 1,2
2: if Bob finds car, Alice will FIRST try door 3, since car not there
3: if no key behind 3, she'll try 1,2 at random
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