Let's say that you and 27 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 28 prisoners and arrange them in a circle.

2) The warden will put on each prisoner's head either a RED, BLACK, or WHITE hat. The warden will choose the color for each prisoner uniformly by tossing a fair die.

3) The warden will then remove the blindfolds. Every prisoner will be able to see the hats on the other 27. Each person will not know the color of his own hat.

4) The warden then gives everybody 1 minute so that each person can think about what his hat color is. At the end of that 1 minute, the warden will provide each prisoner with some paper, and all 28 prisoners must write their hat color at the same time. If 4 or less people got their hat colors correct, then everybody win their freedom. Otherwise, they all go back on the death row.

5) Each person is absolutely not allowed to communicate with his fellow prisoners during the game by speaking, 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 27 friends have 1 night to discuss a strategy. Find a strategy that makes your chances of freedom as high as possible.

EDIT: fixed a wording mistake that was pointed out by smoth333

## Question

## bushindo 14

Let's say that you and 27 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 28 prisoners and arrange them in a circle.

2) The warden will put on each prisoner's head either a RED, BLACK, or WHITE hat. The warden will choose the color for each prisoner uniformly by tossing a fair die.

3) The warden will then remove the blindfolds. Every prisoner will be able to see the hats on the other 27. Each person will not know the color of his own hat.

4) The warden then gives everybody 1 minute so that each person can think about what his hat color is. At the end of that 1 minute, the warden will provide each prisoner with some paper, and all 28 prisoners must write their hat color at the same time. If

4 or less peoplegot their hat colors correct, then everybody win their freedom. Otherwise, they all go back on the death row.5) Each person is

absolutely not allowed to communicatewith his fellow prisoners during the game by speaking, 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 27 friends have 1 night to discuss a strategy. Find a strategy that makes your chances of freedom as high as possible.

EDIT: fixed a wording mistake that was pointed out by smoth333

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