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Head Bands


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81 replies to this topic

#21 csharpner

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Posted 11 July 2007 - 06:50 PM

As demonstrated by the replies to this quiz, none of the three men could make any assumptions about how quickly the other two could make any conclusions. The length of silence would not reveal anything to any of them. The quiz does not state that the three white men are smart either. In fact, since they were captured, one could possibly assume that they're not very smart at all.

So, one or more of the following are true:

1. There is not enough information provided in the quiz to come up with a logically difinitive answer.
2. The 3rd man says, "I'm wearing white", seeing the first two are wearing red.
3. The quiz should be reworded to provide more information... perhaps saying that the 3 white men are highly intelligent. Even then, we're still relying on the length of quiet time. What's the correct length of quit time for the 2nd man to determine the 3rd doesn't know? What's the length of time for the 1st man to determine that both 3 and 2 don't know? Perhaps 2 over estimates the intelligence of #3 or #1 over estimates the intelligence of #'s 2 and 3 and responds too quickly?

I believe, with the wording of the quiz, there's only one scenario that can yield a truly correct answer and that is the scenario with 1 and 2 wearing red, leaving #3 to figure out he's wearing white (and the unstated assumption being added to the quiz; "the chiefton tells the 3 men of the 5 bandannas and the distribution of colors").

Any other scenario relies on timing of silence, which is totally unreliable with 3 men who allowed themselves to be captured and who's intelligence is not mentioned.
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#22 savagegamer90

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Posted 11 July 2007 - 07:13 PM

read the edits before you go saying anything, it actually says that they are all inteligent and rely on the intelligence of the other 2
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#23 wrzesinski

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Posted 15 July 2007 - 01:07 AM

if all three said my headband is white then one of them HAD to be right...hence they are all free...
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#24 hope

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Posted 16 July 2007 - 03:25 AM

wrzesinski: but two of them would be wrong and they would be imprisoned.
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#25 vicious viking

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Posted 21 July 2007 - 01:26 AM

I had a weird idea

It never said their were any consequences to saying the wrong head band color.

So someone could just guess a color and if he got it wrong then he would just say the other color and they would be free.
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#26 Stickguy999

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Posted 27 July 2007 - 09:11 AM

ok ok i get it...they all like the dark
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#27 PDR

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Posted 28 July 2007 - 03:22 PM

it looks like most responses have somewhat missed the mark. The question asked was:

What colour was his head band? And how would you reason it?


Several responses called it out correctly. Seven scenarios exist with 3 total results:
W R R
-3rd man sees 2 reds - knows his own is white

R W R
W W R
-2nd man sees 1 red - knows his can't be red or 3rd man would have seen 2 reds and called white, therefore 2nd man knows his own is white

R W W
R R W
W R W
W W W
-1st man hears no response from 2 & 3, deduces 3rd man didn't see 2 reds and deduces 2nd man didn't see one red, so 1st man knows his own is white.

Therefore one of the 3 called out white correctly. We don't have enough info to know which man it was though. This of course hinges on enough time passing for 1st or 2nd man to assume the men behind them had a chance to reason it out correctly.

Finally, there's one more possibility no one has mentioned...
3rd man gives some indication to 2nd (or 2nd to 1st) of the color of the other man's headband. The puzzle said they were quiet, but it doesn't preclude one of them communicating the color of another's headband to him - perhaps by tapping morse code on the other man's back or writing a note and passing it to him. Cheezy answer? Sure, but possible given the rules...
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#28 montybd

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Posted 06 August 2007 - 01:04 AM

hey!! come on dude!!!

wat r u tryin to prove PDR? wat do u mean by sayin "Finally, there's one more possibility no one has mentioned..." lol
haha when the question said dat one of dem has raised his hand and answered right....wats ur point mr smart?? LMAO
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#29 JASON4P8C10

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Posted 29 August 2007 - 12:07 AM

if person 1 had a red head band and person 2 had a white person 3 would not see 2 red so he would not know which he had so he would be silent.
Person 2 would see a red but that still leaves 1 red and 3 white he does not know what person 3 has.
He could assume that since person 3 did not say anything that he would not have red one as well so person 2 could have said he had a white instead of person 1 but since the question is what color was said the answer is white
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#30 ilovedisneyland

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Posted 22 September 2007 - 06:20 AM

"Three white men were taken captive by a hostile Indian tribe."

Why do they have to be white? Are you saying that Caucasian people are all victims now? Or is it that all other races are of such subordinate value that nobody would want to take them captive? Is that it? Why do you have to bring race into the whole thing? Does it even need to be species-specific? Couldn't we have the same brain teaser with an organism taking another organism captive? I'm here to tell you that it's a C-O-N.... um... -spiracy! That's what it is!
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