Unlabeled

Tennis: the chance of winning a game, by the chance of winning each point

A player who wins 55% of the points wins 62% of the games; at 70% of the points it is 90% of the games. The curve assumes every point is won with the same chance, each independent of the others.

What does this axis measure?
What does this axis measure?
Tennis: the chance of winning a game, by the chance of winning each point: 21 points, a line chart.
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y ↑
Chance of winning the game (%)
x →
Chance of winning a point (%)
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The data: 21 points
Chance of winning a point (%)Chance of winning the game (%)
00
50.01
100.14
150.71
202.18
255.08
309.92
3517.04
4026.43
4537.69
5050
5562.31
6073.57
6582.96
7090.08
7594.92
8097.82
8599.29
9099.86
9599.99
100100
Source
Computed: P. K. Newton and J. B. Keller, Probability of Winning at Tennis I. Theory and Data, Studies in Applied Mathematics 114 (2005), equation (5)
Licence
Original computation by Unlabeled; nothing copied from the source
Read
2026-10-15
Drawn
21 points as the puzzle showed them · line
  • Ran in puzzle #21 on October 17, 2026. Play it