Rose and Colin play a game where each have a large stack of coins, which they are allowed to arrange in advance with any sequence of H and T without letting the other player see the sequence. Once they have done this, they each simultaneously place a coin from the top of their stack onto the table. If HH shows up, Rose gives Colin 9 cents. If TT show up, she gives him 1 cent. However, if HT or TH shows up, then Colin gives Rose 5 cents. The game seems fair at face value. But is it fair? What do you think? How do you analyze this game? The solution is here.