In this game, contestant A chooses a pattern of three successive coin flips, e.g., HTH or HHT. After A has announced his choice, contestant B gets to make his choice and announce it. (Contestant B knows A's choice and cannot select the same pattern.) Then a fair coin is tossed until either A or B's pattern comes up, and the person whose pattern comes up first is the winner.
Would you rather be contestant A or B, and what is your strategy to maximize the chance that you will win?