Calculate football match probabilities using Poisson distribution. Get expected goals, scoreline probabilities, and fair odds for all betting markets based on team statistics.
Team Statistics
Home Team
Average goals scored per game
Average goals conceded per game
Away Team
Average goals scored per game
Average goals conceded per game
Advanced Options (Optional)
Typically 1.0-1.3 (1.0 = neutral)
Optional: total goals per game in league
Poisson distribution is a statistical model that predicts the probability of events occurring within a fixed time period. In football, it's used to calculate the likelihood of teams scoring different numbers of goals based on their historical performance.
Named after French mathematician Siméon Denis Poisson, this distribution is particularly suited to football because:
Professional bettors and football analysts use Poisson distribution to generate fair odds for matches, identify value bets, and predict correct scores more accurately than simple intuition.
The calculator instantly shows expected goals, most likely scores, probability grid, and fair odds for all major betting markets.
Home Team (Liverpool)
Away Team (Brighton)
With home advantage of 1.15, this gives Liverpool 2.49 expected goals and Brighton 1.04 expected goals, making Liverpool heavy favorites.
The average number of goals each team is predicted to score. This is calculated using team attack/defense strengths and home advantage. Higher expected goals indicate stronger attacking threat.
The top 10 scorelines ordered by probability. Even the most likely score typically has only 8-12% probability. Use this to identify correct score betting value.
A 6×6 matrix showing probabilities for all scorelines from 0-0 to 5-5. Darker cells indicate higher probabilities. Use this to visualize score distribution.
What the odds should be based on Poisson probabilities (with no bookmaker margin). If bookmaker odds are higher than fair odds shown here, that may represent value. Add 5-10% margin when comparing.
The calculator provides probabilities and fair odds for: Match Result (1X2), Over/Under Goals (0.5 to 4.5), Both Teams to Score, Double Chance, and Draw No Bet.
Accurate input statistics are crucial for reliable Poisson predictions. Here's how to calculate each value:
Formula: Total Goals Scored ÷ Games Played
Example: Manchester City scored 28 goals in 15 games = 28 ÷ 15 = 1.87 goals/game
Tip: Use recent form (last 10-15 games) rather than full season for more accurate predictions, especially if team form has changed significantly.
Formula: Total Goals Conceded ÷ Games Played
Example: Arsenal conceded 12 goals in 15 games = 12 ÷ 15 = 0.80 goals/game
Tip:Lower values indicate stronger defense. Elite defensive teams concede <1.0 goals/game.
Typical Range: 1.10 to 1.30
Common Values:
Formula: Total Goals Scored in League ÷ Games Played
Typical Values:
Poisson distribution is a statistical method used to predict the probability of different scorelines in football matches. It calculates expected goals for each team based on their attack and defense strength, then uses these to generate probabilities for all possible scores and betting markets.
Expected goals are calculated by multiplying team strengths: Home Expected Goals = Home Attack × Away Defense × Home Advantage. Away Expected Goals = Away Attack × Home Defense. These values are then used in the Poisson probability formula to calculate scoreline probabilities.
Poisson distribution is reasonably accurate for predicting goal probabilities in football, with typical accuracy of 50-55% for match outcomes. It works best for matches between evenly-matched teams scoring 1-3 goals per game. Accuracy decreases for very low-scoring (<0.5 goals/game) or high-scoring (>3 goals/game) teams.
Calculate attack strength as average goals scored per game (total goals scored ÷ games played). Defense strength is average goals conceded per game. Use recent form (last 10-15 games) for more accurate predictions. Websites like FBref, Understat, and official league sites provide detailed statistics.
Home advantage is a multiplier (typically 1.0-1.3) applied to home team expected goals. Research shows home teams score approximately 10-30% more goals than they would away. A value of 1.15-1.20 is common across major leagues, though this varies by league and team.
Compare the calculator's fair odds to bookmaker odds. If bookmaker odds are higher than fair odds calculated by Poisson, that represents potential value. Focus on markets where you have significant edge (10%+ higher odds). Remember to account for bookmaker margin when comparing.
Poisson distribution can predict: Match Result (1X2), Over/Under Goals (all lines), Both Teams to Score (BTTS), Correct Score, Double Chance, Draw No Bet, and Asian Handicap markets. It generates probabilities for all scorelines from 0-0 to 5-5 and beyond.
Using league average goals (optional field) helps normalize predictions across different leagues. Some leagues average 2.5 goals/game while others average 3.5. Including league average (total goals per game) improves accuracy when comparing teams from different competitions or eras.
Poisson assumes goals are independent events, but football has tactical factors (teams defending leads, settling for draws) that increase draw probability. Advanced bettors adjust Poisson predictions by increasing draw probability by 3-5% and reducing home/away win probabilities proportionally.
Yes, but you must adjust expected goals based on current score, time remaining, and match context. A team leading 1-0 after 70 minutes may defend rather than attack, changing their effective attack strength. Poisson works best for pre-match predictions with full match duration.