several pows are told by the king of enemies that they will put to sleep by injection and the next morning each of them will wake up with a green or red hat on. Each will see the color of each other but not of their own. The will ask the color of each own hat and the pow will be killed if the guess will be wrong. The pows need to establish a strategy that will guarantee survival of all of them except possibly one.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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several pows are told by the king of enemies that they will put to sleep by injection and the next morning each of them will wake up with a green or red hat on. Each will see the color of each other but not of their own. The will ask the color of each own hat and the pow will be killed if the guess will be wrong. The pows need to establish a strategy that will guarantee survival of all of them except possibly one. 

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