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 :

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 Solvers577
Suggested Problems
-
25989 Solvers
-
Find the longest sequence of 1's in a binary sequence.
6365 Solvers
-
739 Solvers
-
1291 Solvers
-
Double all elements in the array
1719 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!