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

34.83% Correct | 65.17% Incorrect
Last Solution submitted on Jun 21, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers492

Suggested Problems

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!