6. Serving against his regular opponent, a tennis player has a \(65 \%\) chance of getting his first serve in. If his first serve is in he then has a \(70 \%\) chance of winning the point but if his first serve is not in, he only has a \(45 \%\) chance of winning the point.

1. Represent this information on a tree diagram. For a point on which this player served to his regular opponent, find the probability that
2. he won the point,
3. his first serve went in given that he won the point,
4. his first serve didn't go in given that he lost the point.