Spoiler for Problem and Solution
Okay, the problem with this is that there isn't a set number of colors. If they can be any number of hats and they're all red, green and yellow, even trying to pick the one that you don't see won't mean anything. Just because you see red and yellow doesn't mean yours is green.
However, being able to plan out a strategy beforehand changes things, especially since only one of them has to get it right. One of them just has to go first and choose a color that he sees on the others, and the other two copy what he puts.
However, being able to plan out a strategy beforehand changes things, especially since only one of them has to get it right. One of them just has to go first and choose a color that he sees on the others, and the other two copy what he puts.





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