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Old 08-13-2007  
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The Six Dice Puzzle

This is reminiscent of similar dice riddles, but the answer to this one appears to defy logic....

Last edited by Simon; 08-13-2007 at 02:55 PM..
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By Qfwfq on 08-27-2007
Re: The Six Dice Puzzle

Quote:
Originally Posted by Simon View Post
You are informed that no more than one of them landed a 6 - but it may be that none of them did.
This makes the probability of finding 6 under a given cup less than 1 out of 6, it is 1 out of 11. With n cups remaining, the probability for the next cup, on condition that 6 hasn't already turned up, is \frac{1}{5+n} and increases to 1 out of 6 for the last remaining cup.

No Bill, it isn't the Gambler's Fallacy, it's conditional probability.
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