Baseball hasa classic one-on-one competition between the pitcher Perez and the b

Question

Baseball hasa classic one-on-one competition between the pitcher Perez and the batter Blakemore. Perez has two pitches, a fastball, anda curve. When Blakemore is set for a fastball and Perez throws a fastball, Blakemore's batting average is .450. If, instead, Perez throws a curve, Blakemore's batting average is .200. When Blakemore is set for a curve an Perez throws a curve, Blakemore's batting average is .350. If Perez throws a fastball instead, Blakemore's batting average is .150.

a) create the payoff matrix for this one-on-one competition

b)find the optimal strategy for each player

c) determine the expected batting average

Please help i will rate lifesaver to the person who can solve and show me the work. Please if possible upload picture of work

Explanation / Answer

payoff matrix

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