Question: Consider a tennis match with 3 sets (just like in the lecture notes). The first player to win 2 sets wins the match. Let the
Consider a tennis match with 3 sets (just like in the lecture notes). The first player to win 2 sets wins the match. Let the probability of winning a set be 0.3. The winner of the match gets $15, and the loser pays $15.
1.Is this game recursive?
2.Draw and properly label the game tree. If there is a state that recurs, do not go beyond that state.
3.What is the value of the game in the state where both players have won 1 set each?
4.What is the value of the entire game?
5.What is the probability of:
a.Winning the match
b.Winning the match after winning the first set
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