Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 3

State University is playing Tech in their annual football game on Saturday. A sportswriter has scouted each team all season and accumulated the following data: State runs four basic plays- a sweep, a pass, a draw, and an off tackle; Tech uses three basic defenses-a wide tackle, an Oklahoma, and a blitz. The number of yards State will gain for each play against each defense is shown in the following table:
The probability that State will run each of its four plays is shown in the following table:
The probability that Tech will use each of its defenses follows:
The sportswriter estimates that State will run 40 plays during the game. The sportswriter believes that if State gains 300 or more yards, it will win; however, if Tech holds State to fewer than 300 yards, it will win. Use simulation to determine which team the sportswriter will predict to win the game.