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Masters of Logic Puzzles II. (hats)


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37 replies to this topic

#11 Garyjamesstanton414

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Posted 25 September 2007 - 12:29 PM

Firstly mavedrive, that is the most unclear garbled mess I have ever read, and I was about to spend no time trying to fathom it out. Secondly, it never gets as far as the grandmaster putting hats on their heads, the winner guesses before the grandmaster gives them a hat.

Read the puzzle.
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#12 ali500

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Posted 22 October 2007 - 03:52 PM

Id submit the correct color is white since it was the only color to choose from. Scientifically, white is the reflection of all colors in the spectrum while black is the absence of color.




Actually for it to be fair the answer would be black since there are 3 black hats and only two white. If the GM felt like it he could be dishonest and put the oppisite color that the master said on his head so the others would not fight or he could disqulify the smart master. But that wouldn't make the Grand M very grand would it?
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#13 Taidaishar

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Posted 01 November 2007 - 11:12 PM


Id submit the correct color is white since it was the only color to choose from. Scientifically, white is the reflection of all colors in the spectrum while black is the absence of color.



that's an incorrect statement. if you said light instead of color, that would be right. black is the absence of light, while white is the aggregation of all light in the spectrum. however, when talking about colors, white and black are both valid colors.



No, actually, he's correct.

Those statements really have nothing to do with light. Black is NOT the absence of all light, otherwise, when I'm wearing a BLACK shirt, you wouldn't be able to see it or it would cease to be black when a light shined on it. Black is the absence of all colors.
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#14 hipowertech

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Posted 02 November 2007 - 04:54 AM

Grand master said "I will turn off the light and put a hat on each of your heads and hide the other hats. When I turn on the light you will have (EQUAL) chances to win."

Since we have three contestants and only two white hats then white can not be an option.

Therefore the grandmaster would be placing black hats on all of their heads to be in keeping with his statement.

Now I must ask................

were these "Ten Gallon" hats? and if so will they be able to use the three remaining hats to measure 29 gallons of water without shorting out the three lightbulbs in the other room?

just a thought.
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#15 redindian

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Posted 09 November 2007 - 11:12 PM

Black is correct statement because Grandmaster did not tie their eyes and if he brings out white hat it will be slightly visible even in dark.
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#16 ingkarlgauss

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Posted 12 November 2007 - 06:29 AM

Hey, white its the right solution as its unclear that the grandmaster also wear hats (by assuming equal wining probabilities)

CarlosR
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#17 taqasim

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Posted 24 November 2007 - 03:53 AM

Just for the record, as it seems that a number of people misunderstood this point -- it was worded ambiguously: there are four wizards total. Two losing wizards, one winning wizard, and the Grand Wizard who is the arbiter. (Although he's getting a run for his money!) Black is the only answer that would give each of the three an equal chance, for two white hats and a black hat give the man with the black hat the advantage of knowing there are no more white hats and he must have black. By the same token, if there were two black hats and one white, the persons wearing the black hats would see a white and a black hat, and have to consider the idea that his own hat could be white, in which case the person that he sees wearing the black hat would have immediately guessed the answer because he would be looking at two white hats. Since the person with the black hat is unsure, that must mean that he is seeing the same thing, a white and a black hat. Is it clear now?
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#18 taqasim

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Posted 24 November 2007 - 03:57 AM

Oh, just to add this -- the winning wizard, knowing that this would be unfair, knew the Grand Wizard would have no choice but to give each one a black hat. That is the only case where keeping silent when the lights are turned on would be the natural response of each, giving them each an equal chance to guess.
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#19 johnsl

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Posted 30 November 2007 - 12:43 PM

Just for the record, as it seems that a number of people misunderstood this point -- it was worded ambiguously: there are four wizards total. Two losing wizards, one winning wizard, and the Grand Wizard who is the arbiter. (Although he's getting a run for his money!) Black is the only answer that would give each of the three an equal chance, for two white hats and a black hat give the man with the black hat the advantage of knowing there are no more white hats and he must have black. By the same token, if there were two black hats and one white, the persons wearing the black hats would see a white and a black hat, and have to consider the idea that his own hat could be white, in which case the person that he sees wearing the black hat would have immediately guessed the answer because he would be looking at two white hats. Since the person with the black hat is unsure, that must mean that he is seeing the same thing, a white and a black hat. Is it clear now?





Hmmm.

3 logic masters - and 1 grand master.

Where did the wizards come from?

If they were wizards then the answer would be : he knew what colour his hat was going to be because he cast a spell to turn all five hats pink !

JSL
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#20 jahya522

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Posted 07 December 2007 - 03:54 AM

Since the master that answered the Grand Master as to what color hat he was wearing before the lights went out and the hats were placed, i can only assume the the master who replied as already wering a hat and knew its color. Thats my guess.
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