Poisson Sports Calculator
Guess likely scores and results from expected goals.
How to Use This Calculator
- Type in the expected goals for the home team (use your own read on the game or xG figures)
- Type in the expected goals for the away team
- Get instant probabilities for a home win, draw, away win, over/under 2.5, and BTTS
- Scan the scoreline probability grid to see the odds of specific final scores
Formula
Poisson Probability: P(k) = (λ^k × e^(-λ)) / k!
Where λ = expected goals, k = actual goals scored
Scoreline Probability = P(Home = h) × P(Away = a)
Assumes home and away goals are independent events.
Frequently Asked Questions
How does the Poisson distribution help with betting?
The Poisson distribution is a stats model that estimates the chance of a set number of events (goals) happening within a fixed window. In football betting it’s a go-to tool for working out likely scorelines from average expected goals.
Where do I get expected goals from?
You can pull expected goals (xG) straight from football stats sites. Or just work out a team’s average goals per game across their recent fixtures. Fancier models also factor in home advantage, how strong the opponent is, and current form.
Can I trust the Poisson model?
Poisson gives you a solid starting point for football predictions. Its big catch is that it treats goals as independent events, which isn’t always the case (think momentum swings or red cards). It shines most for pre-match calls in leagues where scoring stays fairly steady.
Which markets does Poisson suit?
Poisson is mainly used for 1X2 (match result), correct score, over/under goals, and both teams to score (BTTS). You can also tweak it for Asian handicaps and half-time/full-time bets.