>>13730163That's not it, but I've found it in the meantime.
There is a countable amount of people. They will be organized into a line, isomorphic to , and each will be given a white, or a black hat. Every one will be asked to guess the color of their own hat. Each will see the hats of everyone in front of them, but not their own hat nor the hat of anyone standing behind them. They are allowed to discuss the strategy before the game starts, but once they are put into the line, they cannot communicate and they will not even hear the guess of any of their peers.
*Assuming AC* there's a strategy such that all but finitely many people are guaranteed make the right guess. What's the strategy?
