Greg Pickett, coach of a little-league baseball team, is preparing for a series of four games against four good opponents. Greg would like to increase the probability of winning as many games as possible by carefully scheduling his pitchers against the teams they are each most likely to defeat. Because the games are to be played back to back in less than one week, Greg cannot count on any pitcher to start in more than one game.
What pitching rotation should Greg set to provide the highest sum of the probabilities of winning each game for his team?