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Winning Percentage Expectancies
Based On Rating Differences

with thanks to J. Varsoke

H:  % of games expected to be won by the higher rated player
L:  % of games expected to be won by the lower rated player

 

Rating Diff.

H

L

 

Rating Diff.

H

L

 

Rating Diff.

H

L

 

Rating Diff.

H

L

000-003

50

50

 

092-098

63

37

 

198-206

76

24

 

345-357

89

11

004-010

51

49

 

099-106

64

36

 

207-215

77

23

 

358-374

90

10

011-017

52

48

 

107-113

65

35

 

216-225

78

22

 

375-391

91

09

018-025

53

47

 

114-121

66

34

 

226-235

79

21

 

392-411

92

08

026-032

54

46

 

122-129

67

33

 

236-245

80

20

 

412-432

93

07

033-039

55

45

 

130-137

68

32

 

246-256

81

19

 

433-456

94

06

040-046

56

44

 

138-145

69

31

 

257-267

82

18

 

457-484

95

05

047-053

57

43

 

146-153

70

30

 

268-278

83

17

 

485-517

96

04

054-061

58

42

 

154-162

71

29

 

279-290

84

16

 

518-559

97

03

062-068

59

41

 

163-170

72

28

 

291-302

85

15

 

560-619

98

02

069-076

60

40

 

171-179

73

27

 

303-315

86

14

 

620-735

99

01

077-083

61

39

 

180-188

74

26

 

316-328

87

13

 

over-735

100

00

084-091

62

38

 

189-197

75

25

 

329-344

88

12

 


Find the difference in rating between the two combatants, and see what the higher-rated player's winning expectancy is.  Clearly these percentages are more likely to be accurate over a series of games, as in a match, while anything might happen in a single game!

Example 1:  Player A is rated 1950, Player B is rated 1880.  The difference is 70, which gives Player A a 60% probability of winning.  Over the course of a ten-game match, Player A should expect to score six points.

Example 2:  Garry Kasparov is rated 2817 (as of July 2004).  Rustam Kasimdzhanov is rated 2640 (also as of July 2004).  The difference is 177, which gives Kasparov a 73% probability of winning.  Over the course of a ten-game match, Kasparov should expect to score 7 or 7.5 points.
 

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