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10 Nov 2019




Tv Radio Paper Mail


TV 3 -2 -1 0


Radio 4 0 -1 0


Paper 3 -1 1 4


Mail -3 -3 -2 -2




(A) Find the optimal Strategy P*. Hint if a row was deleted,the probability of choosing that row is zero


P* = [ ___ ___ ___ ___] (type fully reduced fractions of mixednumbers.)




Find the optimal Strategy Q*. Hint: if a column was deleted,the probability of choosing that column is zero.


Q*= ____


____


____


____


(Type fully reduced fractions or mixed numbers)




What is the value v of the game?


v= ____ (type a fully reduced fraction or mixed number)



(B) What is the expected value of the game for R if the bank Ralways chooses TV and bank C uses its optimum strategy?

E= _____ (type fully reduced fraction or mixed number)


(C) What is the expected value of the game for R if the bank Calways chooses radio and bank R uses its optimum strategy?

E= _____ (type fully reduced fraction or mixed number)


(D) What is the expected value of the game for R if both banksalways use the paper?

E= ____ (Enter an integer or decimal. Round to two decimalplaces)

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