Whenever Randy pitches to Chris, he throws either a fastball or a slider. When Randy pitches a fastball, Chris hits the ball with a probability of .25 when he anticipates a fastball, and hits the ball with a probability of .1 when he anticipates a slider. When Randy pitches a slider, Chris hits the ball with a probability of .15 when he anticipates a fastball, and hits the ball with a probability of .3 when he anticipates a slider.
(a) What is the payoff matrix for a single pitch where each element of the matrix is a probability?
(b) Determine the expected probability of a hit if Randy uses the strategy [.2 .8] and Chris uses the strategy

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