The Following Payoff Matrix Depicts the Possible Outcomes for Two

The following payoff matrix depicts the possible outcomes for two players involved in a game of Ping-Pong.At this point in the game,the ball has just been hit to Dagny Taggart,and she chooses whether to hit right or hit left.At the same time,John Galt chooses whether to defend right (Dagny's right) or defend left (Dagny's left) .If a player receives a payoff of 1,the player wins the point; if the player receives a payoff of -1,the player loses the point.Use this information to answer the following questions:

-Dagny's optimal strategy is to ________,and John's optimal strategy is to ________.

A) hit right; defend right
B) hit left; defend left
C) hit left; defend left with probability 0.50 and defend right with probability 0.50.
D) hit left with probability 0.50 and hit right with probability 0.50; hit left.
E) hit left with probability 0.50 and hit right with probability 0.50; hit left with probability 0.50 and hit right with probability 0.50.