-Suppose that two individuals play a game of tennis. The situation depicted in Figure 6.5 summarizes the probabilities that the receiver will successfully return a serve that is directed to his backhand or forehand. The server's optimal mixing rule is:
A) Randomly serve to the forehand 3 out of 14 times.
B) Randomly serve to the forehand 3 out of 7 times.
C) Randomly serve to the backhand 3 out of 14 times.
D) Randomly serve to the backhand 3 out of 7 times.
E) None of the above.

Question

-Suppose that two individuals play a game of tennis. The situation depicted in Figure 6.5 summarizes the probabilities that the receiver will successfully return a serve that is directed to his backhand or forehand. The server's optimal mixing rule is:
A) Randomly serve to the forehand 3 out of 14 times. 
B) Randomly serve to the forehand 3 out of 7 times. 
C) Randomly serve to the backhand 3 out of 14 times. 
D) Randomly serve to the backhand 3 out of 7 times. 
E) None of the above.

Quizplus · Accepted Answer

The optimal mixing rule is determined by the probabilities that make the receiver indifferent between expecting a serve to the forehand or backhand. Serving to the forehand 3 out of 7 times balances the receiver's expected payoff.

-Suppose That Two Individuals Play a Game of Tennis