Question 15.24

24. In the following game of batter-versus-pitcher in baseball, the batter’s batting averages are given in the game matrix.

Pitcher
Fastball Curveball
Batter Fastball 0.250 0.350
Curveball 0.200 0.500
  1. If the pitcher always pitches a fastball, what should the batter do?
  2. If the pitcher always pitches a curveball, what should the batter do?
  3. If the batter always guesses fastball, what should the pitcher do?
  4. If the batter always guesses curveball, what should the pitcher do?

24.

(a) Guess fastball (b) Guess curveball (c) Pitch fastball (d) Pitch fastball