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Suppose a game has payoff matrix

`[[5,-3],[-5,4]]`

. Suppose that player B uses the strategy

`[[0.4],[0.6]]`

. Find the expected value of the game if player A uses the following strategies. (a)

`[[0.5,0.5]]`

(b)

`[[0.1,0.9]]`

(c)

`[[0.8,0.2]]`

(d)

`[[0.2,0.8]]`