![]() He says "Black" if he sees an odd number of black hats "Red" otherwise.īy paying attention to what has been said, each prisoner will know his hat's color. His job is to establish the parity of black hats visible to him. Now since you all can communicate freely during the night, can you find a way to guarantee the freedom of some prisoners tomorrow? How many?įirst guy is a coin toss - let's wish him good luck. Well, good luck tomorrow, HA HA HA HA HA HA!" And we move on to the one in front of him and ask him the same question and so on. ![]() If he guesses the right color of the hat on his head he is set free, otherwise he is put to death. If he says anything else you will ALL be executed immediately. He will be only allowed to answer "BLACK" or "RED". Starting with the last person in the row, the one who can see everybody in front of him, he will be asked a simple question: WHAT IS THE COLOR OF YOUR HAT? The one in front of him will be able to see 18. The prisoner in the back will be able to see the 19 prisoners in front of him. Of course you will not be able to see the color of your own hat you will only be able to see the prisoners in front of you with their hats on you will not be allowed to look back or communicate together in any way (talking, touching.). You will all stand in a row (queue) before the executioner and we will put a hat on your head, either a red or a black one. "I'm gonna give you prisoners a chance to go free tomorrow. He comes to your cell today and tells you: Your king is a ruthless man who likes to toy with his people's miseries. You are one of 20 prisoners on death row with the execution date set for tomorrow.
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