Document Type
Report
Source Publication Title
Technical Report 336
Abstract
The following problem about a tennis match is well—known. See Halmos [1, 2]. Consider 2n tennis players playing a single elimination match. Ask the question: what are the number of games played? The answer can be obtained in two ways. First using the geometric progression 2n-1 + 2n-2 + • • • -2+1 we find that the answer is 2n — 1. We can also explain the answer as follows: for each game played there is a loser. Thus the total number of games played is equal to the number of losers. Since there is only one winner the total number of games played is equal to 2n — 1, the number of losers.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
3-1-1999
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Ghandehari, Mostafa, "Tennis, Geometric Progression, Probability and Basketball" (1999). Mathematics Technical Papers. 295.
https://mavmatrix.uta.edu/math_technicalpapers/295