Prison

Logic Level 2

A mad dictator has imprisoned 100 men and women. However, this prison has one strange rule. Anyone who has green eyes can be released and those who don't will be executed. As it turns out, all 100 prisoners have green eyes. But this prison has no reflective surfaces such as mirrors and water and prisoners are not allowed to communicate to each other. One day, after much pressure from human rights groups, the dictator has finally asked you to visit the island and speak to the prisoners under the following conditions: 1. You may only make one statement 2. New information should not be given

What can you say to free the prisoners?

Only one of you does not have green eyes Only one of you has green eyes Only one of you has blue eyes

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1 solution

Josiah Sim
Apr 18, 2018

Only one of you has blue eyes: Useless as no one will ever take the risk to leave

Only one of you does not have green eyes: Same result as the previous statement

Only one of you has green eyes: If no one leaves the prison, the prisoners would know that would be impossible because if he/she didn't have green eyes, one of the prisoners would have left last night.

The solutions violates the condition that no information should be given.

Marta Reece - 3 years, 1 month ago

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They already know that one of them has green eyes.

PNJJN Pickle - 2 years, 10 months ago

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