In this post we are going to establish the formula for winning a set given the ability to score a point. We have already derived the formula for winning a game in another post: We will build on that. In fact, winning a set in tennis means winning 6 or 7 games (either 6-any or 7-5)…

Given your ability to win a single point in tennis, how likely is it you will win the set? If you want to win 9 out of 10 sets, by what margin do you need to dominate your opponent? It turns out that the answer is 4 out of 7 points. That’s right! You only need…

Did you ever ask what it takes to win 6-0 6-0? You clearly need to dominate your opponent. But by what margin? Out of ten points, how many points do you need to win on average for that result? In an earlier post we established a relationship between the likelihood of winning a point and the…

The last post made several claims about topspin production. In this post, we will explore the physics behind them. Recall the illustrative picture of a tennis great from the last post: We can draw the same arrows in a more abstract manner like this: In order to make things easy, we will always draw that picture…