  Two players alternate tossing a biased coin where the probability of getting
heads is p. The current player is awarded alpha points for tails and alpha+beta
for heads. The first player reaching n points wins. For a completely unfair
coin the player going first certainly wins. For other coin biases, the player
going first has the advantage, but the advantage depends on the coin bias. We
calculate the first player's advantage and the coin bias minimizing this
advantage.
