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Ten Alien Abductees in Hats

Once upon a time, we presented you with the puzzle about Four Men in Hats. That was difficult. Then we gave you three men with five hats. I never figured that one out on my own, either. Now comes a puzzle with the same type of situation, except there are now ten people, and they’ve been abducted by aliens. This time, they don’t know how many hats are black or white, but they get a chance to work out a strategy before they are lined up.  

(YouTube link)

Alex Gendler presents a TED-Ed lesson on how the abductees could work it out -if they are intelligent enough. See, not only does someone have to figure out how to do it, the others must be able to follow simple instructions, and it’s hard to find ten people who can do that. -via mental_floss 


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but if hat-wearers 6-9 say white aren't they communicating to the others that there's an even amount of black hats left, when there is only one?
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