Suppose Iris, Jana and Karim are playing a game. There are three green hats and two pink hats available. The players are blindfolded and each person is given a hat to wear such that when their blindfold is removed they can't see their own hat.
All the blindfolds are then removed, so all the players can see each other.
Iris says, "I don't know what color hat I'm wearing."
Jana then says, "I don't know what color hat I'm wearing."
What color hat is Karim wearing?
Assume the players are \(-\) and know each other are \(-\) perfect at logic.