You have two opponents with whom you alternate play. whenever you play a, you win with probability pa; whenever you play b, you win with probability pb, where pb > pa. if your objective is to minimize the expected number of games you need to play to win two in a row, should you start with a or with b? hint: let e[ni ] denote the mean number of games needed if you initially play i . derive an expression for e[na] that involves e[nb];