Problem 3056. Chess probability
The difference in the ratings between two players serves as a predictor of the outcome of a match (the Elo rating system)
If Player A has a rating of Ra and Player B a rating of Rb, the formula for the expected score of Player A is :
![](http://upload.wikimedia.org/math/b/0/3/b0366725c224ee55eab6e2371dc6a0ef.png)
Two players with equal ratings who play against each other are expected to score an equal number of wins. A player whose rating is 100 points greater than their opponent's is expected to score 64%; if the difference is 200 points, then the expected score for the stronger player is 76%.
I give you two ELOs, compute the expected score (round to 3 digits), or probability that the first player wins.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers497
Suggested Problems
-
1577 Solvers
-
947 Solvers
-
String Array Basics, Part 1: Convert Cell Array to String Array; No Missing Values
1453 Solvers
-
448 Solvers
-
Find Air Temperature from Cricket Stridulation Rate
823 Solvers
More from this Author43
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!