The meeting discussed Roger Federer's claim about winning 54% of points in his matches, with Jeff Sackman confirming the statistic and providing additional insights into tennis match statistics. Differences between men's and women's tennis, as well as mixed doubles, were also explored.

Introduction by Tim Harford, welcoming listeners to More or Less from the BBC World Service.

Tim Harford introduces the topic of the week: tennis and learning life lessons from match statistics.

Reference to Roger Federer's speech at Dartmouth College, where he discussed the impossibility of perfection in tennis.

Roger Federer mentioned that he won 80% of his matches but only 54% of the points.

Tim Harford introduces Jeff Sackman, a tennis aficionado and operator of tennisabstract.com, to discuss Federer's claim.

Jeff Sackman confirms Federer's claim, stating that Federer actually won 82% of his matches.

Discussion on how winning 54% of points can lead to winning a high percentage of matches.

Jeff Sackman explains the concept using the analogy of flipping a slightly unfair coin.

Tim Harford inquires about the probability of winning a game if a player wins 54% of points.

Jeff Sackman states that winning 54% of points gives a 60% chance of winning a game.

Further discussion on how these probabilities stack up to winning sets and matches.

Tim Harford asks if other top players have similar statistics.

Jeff Sackman provides statistics for Serena Williams, Andy Murray, Novak Djokovic, and Rafael Nadal.

Discussion on the difference in points won between service games and receiving games.

Jeff Sackman explains the differences in service and return points for men and women players.

Tim Harford inquires about mixed doubles and the win percentages of men serving against women and vice versa.

Jeff Sackman provides data on mixed doubles, noting a 4 percentage point gap between men and women serving.

Discussion on the strategic differences in serving in doubles versus singles.

Tim Harford questions if Roger Federer's statement is a humble brag.

Jeff Sackman acknowledges it as a humble brag but also a true statement about the nature of tennis.

Conclusion by Tim Harford, thanking Jeff Sackman and inviting listeners to send in numbers for analysis.

Tim Harford signs off, stating that the show will be back next week.