the american chess master jonathan meller is playing the soviet expert yuri gasparov 672746

The American chess master Jonathan Meller is playing the Soviet expert Yuri Gasparov in a two game exhibition match. Each win earns a player one point, and each draw earns a half point. The player who has the most points after two games wins the match. If the players are tied after two games, they play until one wins a game; then the first player to win a game wins the match. During each game, Meller has two possible approaches: to play a daring strategy or to play a conservative strategy. His probabilities of winning, losing, and drawing when he follows each strategy are shown in Table.

To maximize his probability of winning the match, what should the American do?