You and two other logicians are having an argument about which of you is the smartest, so you ask a Grand Master Logician (Mike) to set up a completely fair test to reveal the best logician amongst you. Mike shows all three of you 5 hats  two red and three black. Then he turns off the lights in the room and puts a single hat on each person's head (not his own), hiding the remaining two hats. When Mike turns the lights back on, each person will be able to see the hats on the other two people's heads, but not the hat on his own head. The winner is the logician who first guesses the correct color of his own hat. Each logician can only guess once. What is your strategy for winning the contest?
