ChessRangerChessRanger
LearnDaily puzzleOpening theoryExplorerFamous gamesGlossaryCalculatorsArticles
Sign inPlay now

Play & train

  • Play the coach
  • Daily puzzle
  • Train
  • Calculators

Learn

  • Learn chess
  • Famous games
  • Opening theory
  • Opening explorer
  • Glossary
  • Articles

ChessRanger

  • About
  • FAQ
  • What's new
  • API & AI agents
  • RSS

Legal

  • Privacy
  • Terms
  • Disclaimer

Learn chess, understand every move. © ChessRanger.

ChessRangerChessRanger
LearnDaily puzzleOpening theoryExplorerFamous gamesGlossaryCalculatorsArticles
Sign inPlay now
ChessRangerChessRanger
LearnDaily puzzleOpening theoryExplorerFamous gamesGlossaryCalculatorsArticles
Sign inPlay now
All chess calculators

Free chess calculator

Expected score & rating change

The rating gap decides the odds. Set your rating and your opponent's, and see your expected score, a win/draw/loss split, and the exact rating swing for each result.

Your rating

Elo/FIDE-style. The scale is what matters, not the federation.

Opponent rating

A 200-point gap is about 76% / 24%. 400 points is roughly 10-to-1.

Draw likelihood

Higher between evenly-matched, stronger players. It splits the expected score into wins and losses.

K-factor

How fast your rating moves: 40 for new players, 20 club, 10 for masters.

Expected score
36%
your average points per game
Win / draw / loss
21% · 30% · 49%
at your draw estimate
If you win
+13
rating change
If you lose
-7
draw: +3
68%23%
Expected scoreopponent −400 … +400

The whole game of rating is the gap, not the number. Beating someone 100 points above you is worth +13 because the formula already expected you to score 36%. Play up, and losses cost little while wins pay a lot — the reason improvers are told to seek stronger opposition.

Expected score36%

Straight answers

How is the expected score worked out?

From the rating difference alone, using the standard Elo logistic curve on a 400-point scale: a gap of 0 is 50%, about +200 is 76%, and +400 is roughly 91%. It predicts your average points per game, not any single result.

Why does beating a stronger player gain me so much more?

Because the rating change is your K-factor times the difference between what you scored and what the formula expected. Against someone rated well above you the formula expected you to lose, so a win is a big surprise and pays out; against someone well below, a win was expected and barely moves you.

What K-factor should I use?

Roughly 40 for new or provisional players, 20 for established club players, and 10 for masters and high-rated players. A higher K makes your rating move faster and swing more per game.

Related tools

Win probability & odds

Turn a rating gap into a probability and plain odds — and see why the curve is an S, not a line.

Expected points over a run

Your most likely total over N games at a given rating gap, plus the honest spread around it.

Performance rating

Turn a tournament score into the rating you actually played at — the number a good event is really worth.

Was this useful?

Educational chess content. Rating math uses the standard Elo model; results are estimates and vary by federation, pool and time control.