11 The Indiana Hoosiers trail the Purdue Boilermakers by a 14–0 score late in the fourth quarter of a football game.

Indiana’s guardian angel has informed Indiana that before the game ends they will have the ball two more times, and they will score a touchdown each time. The Indiana coach is indifferent between a tie and the following lottery: a 40%

chance at beating Purdue and a 60% chance at losing to Purdue. Indiana’s kicker has never missed an extra point, and Indiana has been successful on 35% of all two-point conversion attempts. After each touchdown (worth six points), Indiana must decide whether or not to attempt a one-point or a two-point conversion. Help the Indiana coach maximize his expected utility.