I choose my numbers randomly, switching back and forth so Blue can't predict my choices, but favor the number 1 at least twice as often as I favor 2 to minimize Blue's winnings. I also call the officials a bunch of doody heads for not allowing me to win through belligerent uncoopertiveness.
The officials have noted your position, and wonder why you did not elect to play as Blue. Let's evaluate the strategy for Red to play 1 twice as often as 2. We assume Blue is a profit-maximizing mofo and will play to win as many points as possible. When blue plays 1, Red expects to pay (2 x 3) + (1 x 6) = 12 over three turns, an average of 4 per turn. When blue plays 2, Red expects to pay (2 x 5) + (1 x 4) = 14 over three turns, an average of 4 2/3 per turn. No matter what Blue does, this is an improvement over Red playing 1 all the time, which has a worst case of 5 per turn.