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ChessRangerChessRanger
LearnDaily puzzleOpening theoryExplorerFamous gamesGlossaryCalculatorsArticles
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All chess calculators

Free chess calculator

Win probability & odds

A rating gap is a probability in disguise. Set the difference and your draw estimate to see your expected score, plain odds, and the full curve from underdog to favourite.

Rating difference (you − opponent)

Positive means you're higher rated. The gap is the only thing that sets the odds.

Draw likelihood

Splits your expected score into outright wins and losses. Higher among stronger, closely-matched players.

Expected score
64%
average points per game
Odds of scoring
1.8 to 1
win or draw vs loss
Win / draw / loss
49% · 30% · 21%
at your draw estimate
A clean win roughly
1 in 2
games, on average
68%23%
Expected score−400 … +400 difference

The curve is an S, not a line: near equal ratings a few points barely move the odds, but out at ±400 the score is already about 91% / 9%. That's why upsets are rare but never impossible, and why rating points get harder to win the higher you climb.

Expected score64%

Straight answers

Is win probability the same as expected score?

Almost — the Elo formula gives an expected score (average points per game) from the rating gap. With a draw-rate estimate this tool splits that into separate win and loss chances, since a 60% expected score can be many wins and losses or lots of draws.

Why is the curve an S-shape?

Because it's logistic. Near equal ratings the odds move slowly, but as the gap widens they saturate toward 100% or 0%. At about 400 points the score is roughly 91% to 9%.

Related tools

Expected score & rating change

Your win/draw/loss odds against any opponent, and exactly what a win, draw or loss does to your rating.

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.

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