Suppose that, when the offense calls a running play, they gain an average of 1 yard if the defense anticipates a running play, and gain an average of 3 yards if the defense anticipates a passing play. Suppose that, when the offense calls a passing play, they gain an average of 7 yards if the defense anticipates a running play, and they lose an average of 4 yards if the defense anticipates a passing play.
(a) What is the payoff matrix for the play?
(b) Determine the expected number of yards gained if the offense uses the strategy [.6 .4] and the defense uses the strategy