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Below table shows the probability of winning for Roger Federer and Rafael Nadal for each of two groundstrokes in tennis: down the line (DL) and

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Below table shows the probability of winning for Roger Federer and Rafael Nadal for each of two groundstrokes in tennis: down the line (DL) and crosscourt (CC) (Taken from UCSB lecture ). Rafael Nadal DL CC DL (5,5) (8,2) Roger Federer CC (9,1) (2,8) 1. Find the pure strategy NE if any. 2. Find the mixed strategy NE if any. 3. Find the probability of winning of Federer and Nadal, respectively

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