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#1 spoxjox

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Posted 21 December 2007 - 09:42 PM

While traveling through the Middle East, you and three (logical and intelligent) friends are seized, accused of espionage, and sentenced to ten years hard labor and torture. The warden of the prison, an honest man, enjoys logic puzzles and agrees to a game for your freedom. If you win the game by answering correctly, you gain your freedom. If you lose the game, you will be immediately executed. If you say nothing (i.e. you refuse to play), you will serve out your sentence. You and your friends all agree to answer only if you are sure that you are right.

The game is as follows:

Your three friends are led into one room and you are led into an adjoining room, where you can hear but not see your friends. You are sitting in front of a mirror; your friends are sitting in a circle with no mirrors, but where they can see each other. The prison warden shows you five small stickers, three black and two white. All four of you are blindfolded. He puts one sticker on your forehead and one on each of your friends' foreheads. Then he announces the rules:

"Absolutely no speaking or other communication is allowed, except to answer 'black' or 'white'. You are not allowed to move, except as much as required to speak the answer. I will remove the blindfolds from the three who are together. Any one of the three who tells me the color of the sticker on his own forehead wins, and you all go free. If any one says the wrong color, you will be executed. The three have five seconds for one of them to tell me the color of his (or her) own forehead sticker."

"If the three say nothing for five seconds, then I will remove the blindfold from the fourth [which is you]. The fourth then has thirty seconds to tell me the color of the sticker I kept."

The blindfolds of the three are removed. You hear nothing for five seconds. Then your own blindfold is removed, and you see in the mirror that you have a black sticker on your own forehead.

What do you say?
Spoiler for solution


[Edited for clarity]
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#2 bonanova

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Posted 22 December 2007 - 07:08 AM

Spoiler for solution

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#3 rookie1ja

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Posted 22 December 2007 - 02:06 PM

nice puzzle ... definitely better wording than the mine :)

nevertheless, if you like this type you could try the following ones as well:
Masters of Logic Puzzles III. (stamps)
Head Bands
Christmas Tree
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#4 unreality

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Posted 23 December 2007 - 02:28 AM

While traveling through the Middle East, you and three (logical and intelligent) friends are seized, accused of espionage, and sentenced to ten years hard labor and torture. The warden of the prison, an honest man, enjoys logic puzzles and agrees to a game for your freedom. If you win the game by answering correctly, you gain your freedom. If you lose the game, you will be immediately executed. If you say nothing (i.e. you refuse to play), you will serve out your sentence. You and your friends all agree to answer only if you are sure that you are right.

The game is as follows:

Your three friends are led into one room and you are led into an adjoining room, where you can hear but not see your friends. You are sitting in front of a mirror; your friends are sitting in a circle with no mirrors, but where they can see each other. The prison warden shows you five small stickers, three black and two white. All four of you are blindfolded. He puts one sticker on your forehead and one on each of your friends' foreheads. Then he announces the rules:

"Absolutely no speaking or other communication is allowed, except to answer 'black' or 'white'. You are not allowed to move, except as much as required to speak the answer. I will remove the blindfolds from the three who are together. Any one of the three who tells me the color of the sticker on his own forehead wins, and you all go free. If any one says the wrong color, you will be executed. The three have five seconds for one of them to tell me the color of his (or her) own forehead sticker."

"If the three say nothing for five seconds, then I will remove the blindfold from the fourth [which is you]. The fourth then has thirty seconds to tell me the color of the sticker I kept."

The blindfolds of the three are removed. You hear nothing for five seconds. Then your own blindfold is removed, and you see in the mirror that you have a black sticker on your own forehead.

What do you say?



Spoiler for solution

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