Expected length and probability of winning a tennis game

被引：0

作者：

Cooper, Curtis ^{[1
]}

Kennedy, Robert E. ^{[1
]}

机构：

[1] Univ Cent Missouri, Sch Comp Sci & Math, Warrensburg, MO 64093 USA

来源：

MATHEMATICAL GAZETTE | 2021年 / 105卷 / 564期

关键词：

D O I：

10.1017/mag.2021.117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The game of tennis has provided mathematicians with many interesting problems. In [1], the problem of finding the probability that a certain player wins a tennis tournament was studied. Gale [2] determined the best serving strategy in tennis. First, we assume Alice and Bob play a game of tennis using the standard (or Deuce/Ad) scoring system, without a tiebreaker, and that Alice serves the game. We also assume that the probability that Alice wins any point she serves is. Stewart [3] proved that the probability that Alice wins is 'Equation Presented'. © 2021 The Mathematical Association.

引用

页码：490 / 500

页数：11

共 50 条

[21] Impact of Stroke Number on Winning Probability in Table Tennis Improved Algorithm Based on Markov Chain Modeling
Wenninger, Sebastian
Lames, Martin
[J]. SCIENCE AND RACKET SPORTS V, 2017, : 222 - 230
[22] ANALYSIS OF GAME OF TENNIS
CARTER, WH
CREWS, SL
[J]. AMERICAN STATISTICIAN, 1974, 28 (04): : 130 - 134
[23] 'TENNIS-GAME'
GOODMAN, P
[J]. NEW LETTERS, 1976, 42 (2-3): : 66 - 74
[24] ORIGIN OF THE GAME OF TENNIS
不详
[J]. HISTORIA, 1980, (406): : 37 - 37
[25] Winning the Money Game
不详
[J]. FORTUNE, 2009, 159 (10) : 33 - 33
[26] WINNING THE NUMBERS GAME
ANDERSON, B
[J]. SOLAR AGE, 1984, 9 (05): : 4 - 4
[27] WINNING THE GAME OF BUSINESS
NORTON, R
[J]. FORTUNE, 1995, 131 (02) : 36 - 36
[28] WHOS WINNING THE GAME
MANNION, JB
[J]. JOURNAL AMERICAN WATER WORKS ASSOCIATION, 1994, 86 (07): : 6 - 6
[29] Winning the numbers game
W. Timothy Gowers
[J]. Nature, 2002, 417 (6890) : 693 - 693
[30] Winning the service game
Hult, GTM
[J]. JOURNAL OF THE ACADEMY OF MARKETING SCIENCE, 1997, 25 (01) : 92 - 92

← 1 2 3 4 5 →