Suppose you play tennis with Roger Federer. Below is the payoff matrix. Roger guesses forehand Roger guesses backhand You serve to Roger's forehand You win 30%, Roger wins 70% You win 70%, Roger wins 30% You serve to Roger's backhand You win 70%, Roger wins 30% You win 50%, Roger wins 50% 1. If you serve to Roger's forehand with probability p, calculate p. 2. If Roger guesses forehand with probability q, calculate q. 3. In general, what percentage of the time do you win? Note this question is not discussed in the slides. It's your time to shine