Latest Puzzle Aptitude Question SOLUTION: One hundred prisoners are lined up, one behind the other, all facing forward. On each prisoner's head is a hat, either red or black. Each prisoner can see the hats of all the peopl

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(#M40037972) PUZZLE Logical Reasoning question How Many Can You Save ? Keep an EYE

One hundred prisoners are lined up, one behind the other, all facing forward. On each prisoner's head is a hat, either red or black. Each prisoner can see the hats of all the people in front of him, but he cannot see his own hat and he cannot see the hats of the people behind him. Starting with the prisoner in the back of the line (the one that can see all 99 other prisoners), the prison warden asks the prisoner what color hat he is wearing. Each prisoner can hear the guesses of all of the prisoners behind him. If a prisoner correctly guesses his hat color, he is set free. If he guesses wrong, he is executed.

The prisoners are allowed to agree in advance on an algorithm to use, and you can assume that they all agree to follow the agreed-upon algorithm. The prisoners are NOT allowed to provide each other with any additional clues once the hats are placed on their heads. (For example, tapping shoulders or modulating their voices are not allowed.) The only information each prisoner has is the guesses for the prisoners behind them, and the hats on the prisoners in front of them. Design an algorithm for the prisoners to follow that saves the most prisoners from execution. What is the maximum number of prisoners you can guarantee to save?

Asked In Puzzle gaurav (9 years ago)

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gaurav  (9 years ago)

just now
Naveen Joshi , 31, India
They will make an algorithm. the last person will sacrifice himself if he will be lucky he can be save but no guaranty but other 99 can safe. the strategy is that last person will count the number of hats of all 99 and say the odd number hat color
there are 100 prisoners. last person can see 99 prisoners
like if 40 B, 49R then he will say R.
99th person know that the R is odd number color. now he will count that color hats if he found that color hat even it means his own hat of that color else his own hat of B color.

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jalpan  (9 years ago)

please explain it clearly..

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