Smith will win a prize if he can win two consecutive squash games in a three-game match against Andrabi and Ernst alternately, either Andrabi-Ernst-Andrabi or Ernst-

Andrabi-Ernst. Assume that Andrabi is a better player than Ernst and that Smith’s chances of winning a game against either player are independent of the order in which the games are played and the outcomes of other games. Which sequence should Smith choose and why?