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Brain Teaser


teddy

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Good point. Hadn't thought about that. The king said the test was fair. So it would have been too easy for anyone seeing two black hats, a bit more difficult for anyone seeing one white and one black, and much more difficult for the person seeing two white hats. Only the all white hat option is fair.

 

I was bothered by the fact that for my answer to work you had to assume the other guys were smart enough to figure out the easier two possibilities: they see black-black, or black-white. But not smart enough to figure out white-white and beat you to the conclusion everyone was wearing white. If one of them had figured out he was wearing white and said that, then you'd no longer be sure that you are wearing white.

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