The Tech football coaching staff has six basic plays it runs every game. Tech has an upcoming game against State on Saturday, and the coaches know State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each defense, as shown in the following payoff table.

a. If the coaches employ an offensive game plan, they will use the maximax criterion. What will their best play be?
b. If the coaches employ a defensive plan, they will use the maximin criterion. What will their best play be?
c. What will their best play be if State is equally likely to use any of its defenses?
d. The Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses.

Using expected value, rank Tech€™s plays from best to worst. During the actual game, Tech has a third down and 10 yards to go and the coaches are 60% certain State will blitz, with a 10% chance of any of the other four defenses. What play should Tech run, and is it likely Tech will make the firstdown?

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Defense Play5 63 Wide Tackle Nickel Bltz Off tackle Option 2-2 3 7 1 8 -2 10 16 6 12 Toss Sweep 5 5 2 3 Draw Pass Screen 5 3 12 7 6 7 16 10 20 Defense 54 63 Wide Tackle Nickel Bliz Probability 0.40 0.10 0.20 0.20 0.10