suppose a pitcher can pitch either a fast ball or a curve ball. The batter tries to guess what pitch will come and prepare for it. Assume the batter has the following batting averages (fraction of time he makes a hit).

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suppose a pitcher can pitch either a fast ball or a curve ball. The batter tries to guess what pitch will come and prepare for it. Assume the batter has the following batting averages (fraction of time he makes a hit). 0.300 if the batter guesses a fast ball and it is a fast ball
0.200 if the batter guesses a fast ball and it is a curve ball
0.100 if the batter guesses a curve ball and it is a fast ball.
0.500 if the batter guesses a curve ball it and it is a curve ball.
set up a game matrix, find the optimal mixed strategy for each player and find the value of the game. What does the value represent?

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