Let's say that you and 19 other prisoners are on a death row. The warden gives you and your fellow prisoners a chance to win your freedom through a game. The game is as follows,

1) When the game starts, the warden will blindfold all 20 prisoners and arrange them in a circle.

2) The warden will put on each prisoner's head either a RED or a BLACK hat. The warden will choose the color for each prisoner by flipping a fair coin.

3) The warden will then remove the blindfolds. Every prisoner will be able to see the hats on the other 19. Each person will not know the color of his own hat. There are clocks on each side of the room, so every prisoner will be able to see a clock as well.

4) The warden then says, "Everybody should be able to see the hat color of his fellow prisoners. See those clocks? For the next 20 minutes, each person may at any time raise his hand and simultaneously shout out his hat color. At the end of the 20 minutes, if everybody correctly shouted their hat colors, then you all win your freedom. Each person can only shout out his hat color once. If 1 or more person incorrectly shouted his hat color, or if 1 or more person failed to make a guess, then you all go back on the death row."

5) Each person is not allowed to communicate to his fellow prisoners during the game by varying his tone of voice, volume, facial expressions, body language, etc. The warden reserves the right to cancel the game and put everybody back on the death row if he see these types of behavior.

You and your 19 friends have 1 night to discuss a strategy. Find a strategy that makes your chances of freedom as high as possible.

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## bushindo

Let's say that you and 19 other prisoners are on a death row. The warden gives you and your fellow prisoners a chance to win your freedom through a game. The game is as follows,

1) When the game starts, the warden will blindfold all 20 prisoners and arrange them in a circle.

2) The warden will put on each prisoner's head either a RED or a BLACK hat. The warden will choose the color for each prisoner by flipping a fair coin.

3) The warden will then remove the blindfolds. Every prisoner will be able to see the hats on the other 19. Each person will not know the color of his own hat. There are clocks on each side of the room, so every prisoner will be able to see a clock as well.

4) The warden then says, "Everybody should be able to see the hat color of his fellow prisoners. See those clocks? For the next 20 minutes, each person may at any time raise his hand and simultaneously shout out his hat color. At the end of the 20 minutes, if

everybodycorrectly shouted their hat colors, then you all win your freedom. Each person can only shout out his hat color once. If 1 or more person incorrectly shouted his hat color, or if 1 or more person failed to make a guess, then you all go back on the death row."5) Each person is not allowed to communicate to his fellow prisoners during the game by varying his tone of voice, volume, facial expressions, body language, etc. The warden reserves the right to cancel the game and put everybody back on the death row if he see these types of behavior.

You and your 19 friends have 1 night to discuss a strategy. Find a strategy that makes your chances of freedom as high as possible.

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