Betting Calculators
Poisson Calculator
Predict match outcomes using the Poisson distribution. Enter expected goals for each team to see probabilities for every scoreline, match result, over/under, and BTTS markets.
How to Use This Calculator
- Enter the expected goals for the home team (based on your analysis or xG data)
- Enter the expected goals for the away team
- View probabilities for home win, draw, away win, over/under 2.5, and BTTS
- Check the scoreline probability grid for specific score predictions
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
What is the Poisson distribution in betting?
The Poisson distribution is a statistical model used to predict the probability of a given number of events (goals) occurring in a fixed period. It’s widely used in football betting to predict match scorelines from expected goals averages.
How do I find expected goals?
Expected goals (xG) can be found from football statistics sites. Alternatively, you can calculate a team’s average goals scored per game from recent matches. More sophisticated models account for home advantage, opponent strength, and recent form.
How accurate is the Poisson model?
The Poisson model provides a reasonable baseline for football predictions. Its main limitation is that it assumes goals are independent events, which isn’t always true (e.g., momentum effects, red cards). It works best for pre-match predictions in leagues with consistent scoring patterns.
What markets can I use Poisson for?
Poisson is most commonly used for 1X2 (match result), correct score, over/under goals, and both teams to score (BTTS) markets. It can also be adapted for Asian handicaps and half-time/full-time predictions.