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PostPosted: April 25th, 2008, 1:11 pm 
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A jail was over capacity, and so the warden decided that he would give them a test to see if some might be freed, and relieve the overcrowding.

Bringing the three prisoners into his office, the warden announced that the bag in his hand had three black hats and two red hats in it. The prisoners are to be lined up in single file and the warden is to walk behind the prisoners and take a hat out of the bag and put it on each prisoner, until all three had hats on them.

When they are lined up, each prisoner can only see the prisoner(s) in front of them and the colour of their hat(s) - they cannot see their own hat and they are not allowed to turn around to look behind them

If any of them could tell the warden the colour of the hat on his own head, all 3 prisoners would immediately be released. If he guessed, and guessed incorrectly, all 3 prisoners would be executed immediately. All three agreed to the terms.

All 3 prisoners are perfect logicians - and they all know this.

Starting from the back of the line:
Prisoner #1 then looks at the other two prisoners' hats and says "I don't know."
Prisoner #2 looks at the hat in front of him and says "I don't know."
Prisoner #3 is blind. He says "I know."

Does he? Explain.

This has prob been seen before (not too difficult in my opinion :shock: ) but I've another (much more difficult) puzzle, involving hats, waiting for you :lol: .
I'll wait until this is solved before I put the other one on ;) .


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PostPosted: April 25th, 2008, 8:00 pm 
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I'll give it a shot: Yes, he does.

Starting with the back:
Prisoner one knows that if the two people in front have red hats, he must have a black hat. In any other case, it is uncertain. He says he does not know, and therefore, the other two must either be wearing two black hats, or a black hat and a red hat.

If the person in front of prisoner two has a red hat, then prisoner two must have a black hat; and if he has a black hat, prisoner two will not know if he has a red hat or a black hat. Prisoner two does not know.

Prisoner three now knows that he must have a black hat.


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PostPosted: April 25th, 2008, 8:31 pm 
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Location: Deep Inside a canadian forest
I've come with the same result, ToSPSO. So I guess it's right.

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PostPosted: April 25th, 2008, 8:40 pm 
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The fact that this is brought up as a riddle means that the blind man does know.

In all seriousness, I had found the same answer with the same reasoning as before.

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PostPosted: April 26th, 2008, 7:41 am 
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Correct ..... now, it's off to the next puzzle (I think You'll find this one a lil' harder ;) ).


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PostPosted: June 27th, 2008, 10:04 am 
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This puzzle was very entertain and challenging I honestly had to think about it over nite


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PostPosted: January 26th, 2011, 8:40 am 
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Really it's so challenging for me... :roll: :roll:

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PostPosted: May 28th, 2013, 11:31 am 
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davenjohn wrote:
Really it's so challenging for me... :roll: :roll:



great fun :)


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