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The Hat Problem
Try solving this fun problem:
Three criminals came before the King. It was Passover, which meant that the King would forgive the wrongdoings of one of the criminals. The King had five hats: three rectangular and two triangular. He told the criminals to close their eyes and then randomly placed two rectangular hats and one triangular hat on the criminals. He hid the remaining hats and told the criminals to open their eyes. (The criminals can see the hats of the other criminals but not their own. The criminals know that there are 5 rectangular and 2 triangular hats.) The King said, "Whoever can tell me, with absolute certainty, what his hat is, he will be free." Which criminal received the King's forgiveness by telling the King what hat he had with an absolute reason as to why he knows? (*Assume that one of the persons with the rectangular hats is smarter than the other. **The criminals can not communicate with one another or touch their own hat) Please use the spoiler tags for your answer. Try solving this problem within 5 minutes. Jam it back in, in the dark.
Last edited by eraemia; Oct 1, 2006 at 01:48 PM.
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Does it involve relying on the guesses of the other two criminals?
There's nowhere I can't reach. |
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Please use the spoiler tags. ^_^;
How ya doing, buddy? |
I need more information about this problem.
Spoiler:
I am a dolphin, do you want me on your body? |
Small hint:
Spoiler:
BIG Hint / Give-away (Don't look if you want a challenge): Spoiler:
Most amazing jew boots
Last edited by eraemia; Oct 6, 2006 at 12:33 AM.
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Is the one that goes free the last person to give his/her answer?
What kind of toxic man-thing is happening now? |
1. Use the spoiler tags.
2. That is not the answer. 3. The answer must include (a) the person set free, and (b) the reason that person gives for knowing what hat he has FELIPE NO |
Spoiler:
Double Post:
Spoiler:
What, you don't want my bikini-clad body?
Last edited by Omnislash124; Oct 1, 2006 at 11:37 AM.
Reason: Automerged additional post.
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The criminals must give a reason to the King with ABSOLUTE CERTAINTY. In other words, answers involving probability are not satisfactory!
Jam it back in, in the dark. |
Spoiler:
There's nowhere I can't reach. |
Spoiler:
This thing is sticky, and I don't like it. I don't appreciate it. ![]() John Mayer just asked me, personally, through an assistant, to sing backup on his new CD.
Last edited by No. Hard Pass.; Oct 1, 2006 at 04:01 PM.
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Spoiler:
I am a dolphin, do you want me on your body? |
I was speaking idiomatically. ![]() John Mayer just asked me, personally, through an assistant, to sing backup on his new CD. |
Just a stab here...
Spoiler:
EDIT: Ack! Misread...hang on. Spoiler:
That's probably not it, too abstract. But hey, I tried. What kind of toxic man-thing is happening now? DAMN good coffee!
![]() September 2007: Waiting for Godot...
Last edited by SonicPanda; Oct 3, 2006 at 02:31 AM.
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Spoiler:
FELIPE NO |
Spoiler:
NOBODY HAS GOT THE ANSWER YET. This is a logic problem. Additional Hint (Please don't look if you want a challenge): Spoiler:
What, you don't want my bikini-clad body?
Last edited by eraemia; Oct 5, 2006 at 08:42 AM.
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OSLY! I was thinking about this problem on and off since you posted it, and even with the previous hints, nothing fully worked based on "verbalized" guesses. But your last hint made it ridiculously easy, so...
![]() solution:
I hope I explained that okay. That was fun. Jam it back in, in the dark. |
Good job, nazpyro! Although a little confusing, your answer is essentially correct.
Here is my simple solution: Spoiler:
There's nowhere I can't reach.
Last edited by eraemia; Oct 5, 2006 at 04:53 PM.
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