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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