summary of the puzzle
Three friends know about the puzzle and are allowed to strategise in advance.
They will be assigned one hat each randomly, each one has equal chances of getting either a red or blue hat.
They will know the colours of hats wore by others but cannot see the colour of their own hats. They can’t communicate.
They all will be asked to guess the colour of their hat, all three must answer simultaneously by saying either Red or Blue or Pass. Pass signifying not guessing.
They will win, as a team, if at least one guesses the correct colour while no one guesses the incorrect colour of their hat.
What strategy maximises their chances of winning?
