Enter each team’s expected goals and get the score grid plus 1X2, Over/Under 2.5 and both-teams-to-score probabilities from a Poisson model. The values you type are not sent to a server.
Short answer
The Poisson score calculator turns two expected-goal values (λ) into the probability of each score and sums them into 1X2, Over/Under 2.5 and BTTS probabilities. For the synthetic λ 1.45 / 1.10 the single most likely score is 1–1 at 12.45%. The model treats goals as independent; it is a calculation tool, not a prediction.
Expected goals
LOCAL CALCULATION
RESULT
Most likely score—
1 / X / 2—
Over / Under 2.5—
BTTS Yes / No—
Enter two expected-goals values to see the results. The output is a model calculation, not a prediction.
Score grid
HOME ↓ · AWAY →
After you calculate, probabilities for scores from 0 to 5 goals appear here. Scores outside the grid are still counted in the 1X2 and over/under totals.
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Method
The probability that a team scores k goals is P(k) = e−λ λk / k!. The two teams are assumed independent, so the probability of a score is the product of the two teams’ probabilities. 1X2, Over 2.5 (3+ goals) and BTTS (both teams ≥ 1) are summed from this grid; 0–30 goals are counted for each team.
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Why is the Poisson distribution used in football? +
Goals are rare, roughly independent events within a match. The Poisson distribution models counts like these with a single parameter (the average number of goals, λ), which makes it a natural starting model for rough score probabilities.
Where do I get the expected goals (λ) value? +
You can use the average goals scored and conceded in past matches, xG data or your own model. This tool takes the value from you; it contains no match or team data.
Are the results real match probabilities? +
No. The model treats the two teams’ goals as independent, so it ignores effects such as teams changing approach with the score or low-scoring draws being slightly more common in practice. The results are the output of a model, not a prediction or advice.
What do λ 1.45 and 1.10 give? +
Home 45.13%, draw 26.20%, away 28.67%; Over 2.5 46.89%, BTTS Yes 51.06%. The single most likely score is 1–1 at 12.45%.
Last updated: 28 October 2026 · Responsible: Cortenscore editorial team · Spotted an error? Report a correction. This page is for statistics education; it is not a prediction or betting advice. Example values are synthetic.