Quote:
Originally Posted by Slappin Fish
I'm with the Morgan et al. 91 train of thought on this one. If the quizmaster opens door number three with nothing behind it you've already made a right choice, so your chances aren't 1/3 or 2/3 (those were your chance before any door was open) your chances are now 1/2.
If when all doors are closed the quizmaster says i'll open a door if you switch. then by switching your odds go to 2/3 but If you already picked door 1 and the host already opened door 3 odds are 1/2 .
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1. you pick a door, 1/3rd of the time it's a winner... 2/3rds it's not...
2a. IF the chosen door is a winner (1/3rd chance) and you switch = you lose
2b. IF the chosen door is not a winner (2/3rd chance) and you switch = you win
so by using the "switching" strategy, you win 2/3rds of the time...