a logic puzzle for you all

[Roobi]

let us know how you go with the backwars finger one. its a crack up and i'd love to hear how you did.

[Allan_L (Allan)]

Originally Posted by Roobi

One of my favorite logic puzzles. I love stumping people for hours with this one. See if you can work it out. please don't spoil it if you know the answer.

four prisoners are arrested for a crime, but the jail is full and the jailer has nowhere to put them. He eventually comes up with the solution of giving them a puzzle so if they succeed they can go free but if they fail they are executed.

The jailer puts three of the men sitting in a line. The fourth man is put in a seperate room and he gives all four men party hats (as in diagram). The jailer explains that there are two red and two blue hats. The prisoners can see the hats in front of them but not on themselves or behind. The fourth man in the room can't see or be seen by any other prisoner. No communication between the men is allowed.
the jailer tells them that if one of them can answer difinitively (no guessing allowed) and say aloud to the jailer what colour hat he has on his head all four prisoners go free.

http://img258.imageshack.us/img258/9933/hats.png


See if you can work out which prisoner would be able to answer correctly, being one hundred percent sure he is right.

Cheers guys hope you have fun.



-Edit- keep in mind theres no trick involved, it's pure logic.

That is a great Puzzle Roobi.
Thanks for posting it.

[bobson (Bob)]

Here are many more, I like jumping frog puzzle
It says 8-10 years old for 6 frogs and it didnt take me long to figure it out but man 8 frogs is really hard.

http://www.puzzlepixies.com/difficul...ing-frogs.html

cheers

bob

BTW

Roobi,

Your puzzle requires that prisoners can think

Good one though


Here is one for you:

There are two tribes: truth tribe and lying tribe. Truth tribe always tells truth and lying tribe always tells lies.
Now, you want to get to truth tribe. You take a road to get there and road splits into two roads. Just there where road splits there is a man from one of the tribes. You dont know to which tribe this man belongs to. You are allowed to ask this man only one question to get to truth tribe!
What question would you ask this man to get to truth tribe?

[norm]

The puzzle is completely unfair to prisoner D. He has no chance of making any logical deduction. Does the jailer let him off ?

Cheers Norm.

[Roobi]

yeah your right norm. Poor D has to just sit and hope.

[issdaol (Phil)]

Originally Posted by bobson

Here is one for you:

There are two tribes: truth tribe and lying tribe. Truth tribe always tells truth and lying tribe always tells lies.
Now, you want to get to truth tribe. You take a road to get there and road splits into two roads. Just there where road splits there is a man from one of the tribes. You dont know to which tribe this man belongs to. You are allowed to ask this man only one question to get to truth tribe!
What question would you ask this man to get to truth tribe?

Reminds me of Dr Who and The Pyramids of Mars episodes

[cfranks (Charles)]

Took me 10 seconds, but I didn't win Lotto!

Charles

[Roobi]

lol. well done to all of you who got it right, for those that haven't yet keep trying. Did anyone try that finger wiggle one, or did i explain it badly.

[Jen]

Dam it Roobi, hows a girl supposed to do this after a few drinks and at 2:30 in the morning

[Morepower (Craig)]

This had me believing there was not a solution, untill I realised It could be read 2 ways.

It says: "The jailer puts three of the men sitting in a line. The fourth man is put in a seperate room and he gives all four men party hats (as in diagram). The jailer explains that there are two red and two blue hats. The prisoners can see the hats in front of them but not on themselves or behind. The fourth man in the room can't see or be seen by any other prisoner. No communication between the men is allowed.
the jailer tells them that if one of them can answer difinitively (no guessing allowed) and say aloud to the jailer what colour hat he has on his head all four prisoners go free."

I read into it that "he" was the prisoner in the room, not "any" of them could definitley say what colour their own hat was.

[Roobi]

Oh sorry guys.
"and say aloud to the jailer what colour hat he has on his head all four prisoners go free."

i realise this could sound a little ambiguous but it's actually not suppose to be. There is only one of the prisoners that is able to be 100% sure of what colour hat he himself is wearing. You can count out D as he is in the room on his own and can't be seen or see anyone else.


I'll post the lot again so people don't have to find the original post.

four prisoners are arrested for a crime, but the jail is full and the jailer has nowhere to put them. He eventually comes up with the solution of giving them a puzzle so if they succeed they can go free but if they fail they are executed.

The jailer puts three of the men sitting in a line. The fourth man is put in a seperate room and he gives all four men party hats (as in diagram). The jailer explains that there are two red and two blue hats. The prisoners can see the hats in front of them but not on themselves or behind. The fourth man in the room can't see or be seen by any other prisoner. No communication between the men is allowed.
the jailer tells them that if one of them can answer difinitively (no guessing allowed) and say aloud to the jailer what colour hat he has on his head all four prisoners go free.

http://img258.imageshack.us/img258/9933/hats.png

[Sharnbrook (Mike)]

Which country is this? A JAILER has the power of either executing all 4 men, or letting them go if they can answer a logic puzzle!! Even the most despotic regimes don't go that far. I think this should be referred to the Hague.

On second thoughts, sometimes there isn't much logic exercised there, and they might agree and recommend world wide acceptance of the policy.

[Roobi]

lol mike. too true, maybe its happening on another planet, the prisoners do look a little like aliens with hats on.

[bobson (Bob)]

What if prisoner "B" is not that smart?

[blindman]

Forum name is the clue.
Is that coincidence?
rgds

[Gallifreyboy]

Originally Posted by issdaol

Reminds me of Dr Who and The Pyramids of Mars episodes

I agree, one of my favourite episodes that one. Prisoner B does need to be smart and hope prisoner A is sighted.

[Roobi]

lol, no the topic name is not a clue.