Friday, August 15, 2008

Hat Riddle III

The king is searching for an heir to the throne so he of course wants to find the wisest of wise to become his next successor. The king tells his servant to summon the 3 most wisest men in the country to his throne room and there he gives them a test to see who is capable of being the next king.

The king says "Here with me are 3 hats. Each of the hats MAY or MAY NOT have a dot on it but at least one hat will have a dot on it for sure. You will put on these hats and then if you are able to tell me with certainty whether your hat has a dot or not, then you will become the next king."

The king secretly tells his servant to put a dot on ALL of the hats. The servant does so and then the hats are placed on each of the men's heads. The men are situated in a position where they can all see each other but they can't see their own hat.

After a while, one of the men walks up to the king and says "I know for sure that I have a dot on my hat."

How does he know?

2 comments:

  1. Not a good riddle. Each person knows 2/3 events and therefore could usually logic there probability by simply doing 1-2/3... In this case he spots 2 dots on both the other guys hats... so he is either thinks hey both of them have dots maybe the king placed dots on all 3 hats so the first one to speak up wins, plus the others ain't saying shit prolly thinking the same thing so its really who steps up first.

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  2. not certain about this, seems similar to the 2nd riddle

    suppose C doesn't have a dot on his hat. A looks and sees a dot on B and none on C and cannot determine anything. B knowing this, sees no dot on C and can conclude that he must have a dot on his hat or else A would've answered. because B cannot do this, C realizes he must have a dot on his hat as well.

    i guess whoever can logically think of that first can answer...so A, B, and C could answer....

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