- #1
dgonzo
- 19
- 0
Homework Statement
I've been struggling all morning with seems like a very easy problem. But I'm having difficulty wrapping my head around it.
In the sport of tennis, I am trying to convert game winning percentage to set winning percentage. Is there a short-cut equation, short of mapping out every possible game by game scenario?
Homework Equations
If it helps we can give Player A a game winning percentage of .67
The Attempt at a Solution
My best attempt at a solution (in excel) looks like this:
A 6-0 0.67 0.67 0.67 0.67 0.67 0.67 0.090458382
0.090458382
0.67 0.67 0.67 0.67 0.67 0.33 0.67 0.029851266
0.67 0.67 0.67 0.67 0.33 0.67 0.67 0.029851266
0.67 0.67 0.67 0.33 0.67 0.67 0.67 0.029851266
0.67 0.67 0.33 0.67 0.67 0.67 0.67 0.029851266
0.67 0.33 0.67 0.67 0.67 0.67 0.67 0.029851266
A 6-1 0.33 0.67 0.67 0.67 0.67 0.67 0.67 0.029851266
0.179107597
and so on and so on