A Famous Big Ten Football Coach Had Only Two Strategies

Multiple Choice

A famous Big Ten football coach had only two strategies, Run the ball to the left side of the line and Run the ball to the right side.The defense can concentrate forces on the left side or the right side.If the opponent concentrates on the wrong side, his offense is sure to gain at least 5 yards.If the defense defended the left side and the offense ran left, the offense gained only 1 yard.If the opponent defended the right side when the offense ran right, the offense would still gain at least 5 yards with probability .70.It is the last play of the game and the famous coach's team is on offense.If it makes 5 yards or more, it wins; if not, it loses.Both sides choose Nash equilibrium strategies.In equilibrium the offense

A) will run to the two sides with equal probability.
B) will run to the right side with probability .87.
C) is sure to run to the right side.
D) will run to the right side with probability .77.
E) will run to the right side with probability .70.