Football Poisson Calculator
xG-Based Match Probability & Fair Odds Engine
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INPUT EXPECTED GOALS (XG)
Advanced Options
Model uses an enhanced Poisson for football: slightly higher draw probability and favorite outcomes.
PREDICTION SNAPSHOT
Home Win
29.67%
Fair Odds
3.37
Draw
25.22%
Fair Odds
3.96
Away Win
45.11%
Fair Odds
2.22
Most Likely Score
1 - 1
Probability 10.91%
Fair Odds 9.16
Match odds & output
FAIR ODDS COMPARISON
| Market | Market Odds | Fair Odds ? Model-calculated fair price based on probability. | Edge ? Difference between bookmaker odds and model fair odds. Positive edge indicates potential value. |
|---|---|---|---|
| Home Win | 3.37 | — | |
| Draw | 3.96 | — | |
| Away Win | 2.22 | — |
Find Value Opportunities
Compare model fair odds with bookmaker prices to spot positive EV bets.
See Value Bets →
Correct Score Probability & Fair Odds
| # | Correct Score | Prob | Odds |
|---|---|---|---|
| 1 | 1-1 | 10.91% | 9.16 |
| 2 | 1-2 | 9.22% | 10.84 |
| 3 | 0-1 | 8.08% | 12.37 |
| 4 | 2-1 | 7.37% | 13.57 |
| 5 | 0-2 | 6.83% | 14.64 |
| 6 | 1-0 | 6.46% | 15.49 |
| 7 | 2-2 | 6.22% | 16.06 |
| 8 | 1-3 | 5.2% | 19.25 |
| 9 | 0-0 | 4.78% | 20.91 |
| 10 | 2-0 | 4.36% | 22.94 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.78%
20.91
|
8.08%
12.37
|
6.83%
14.64
|
3.85%
25.99
|
1.63%
61.5
|
0.55%
181.98
|
| 1 |
6.46%
15.49
|
10.91%
9.16
|
9.22%
10.84
|
5.2%
19.25
|
2.19%
45.56
|
0.74%
134.79
|
| 2 |
4.36%
22.94
|
7.37%
13.57
|
6.22%
16.06
|
3.51%
28.52
|
1.48%
67.49
|
0.5%
199.68
|
| 3 |
1.96%
50.98
|
3.31%
30.17
|
2.8%
35.7
|
1.58%
63.37
|
0.67%
149.99
|
0.23%
443.85
|
| 4 |
0.66%
151.06
|
1.12%
89.38
|
0.95%
105.78
|
0.53%
187.76
|
0.22%
444.44
|
0.08%
1314.06
|
| 5 |
0.18%
559.6
|
0.3%
331.02
|
0.26%
391.7
|
0.14%
695.41
|
0.06%
1644.74
|
0.02%
4878.05
|
Any other score (6+ goals either side)
1.04%
·
Fair:
95.75
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 74.08% | 25.92% |
| 1.5 | 39.08% | 60.92% |
| 2.5 | 15.46% | 84.54% |
| 3.5 | 4.82% | 95.18% |
| 4.5 | 1.24% | 98.76% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.55% | 18.45% |
| 1.5 | 50.36% | 49.64% |
| 2.5 | 24.01% | 75.99% |
| 3.5 | 9.17% | 90.83% |
| 4.5 | 2.9% | 97.1% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.78% | 20.91 |
| 1 | 14.54% | 6.88 |
| 2 | 22.10% | 4.52 |
| 3 | 22.40% | 4.46 |
| 4 | 17.02% | 5.87 |
| 5+ | 19.15% | 5.22 |
|
Over 2.5 58.57%
Under 2.5 41.43%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
29.67%
Draw
25.22%
Away Win
45.11%
Over / Under 2.5
Over 2.5
58.57%
Under 2.5
41.43%
Both to score (BTTS)
Yes
60.41%
No
39.59%
Asian Handicap Probability
?
Probabilities are calculated from the Poisson score model.
Push applies to whole-number Asian handicap lines.
Home Handicap
| Line | Home Side | Push | Away Side |
|---|---|---|---|
| -2.0 | 4.73% 21.16 | 8.78% 11.39 | 86.5% 1.16 |
| -1.5 | 13.5% 7.41 | — | 86.5% 1.16 |
| -1.0 | 13.5% 7.41 | 17.22% 5.81 | 69.27% 1.44 |
| -0.5 | 30.73% 3.25 | — | 69.27% 1.44 |
| 0 (PK) | 30.73% 3.25 | 23.75% 4.21 | 45.53% 2.2 |
| +0.5 | 54.47% 1.84 | — | 45.53% 2.2 |
| +1.0 | 54.47% 1.84 | 21.56% 4.64 | 23.96% 4.17 |
| +1.5 | 76.04% 1.32 | — | 23.96% 4.17 |
| +2.0 | 76.04% 1.32 | 13.76% 7.27 | 10.21% 9.8 |
HOW THE MODEL WORKS
Poisson Distribution
xG Input
Adjustments
Probability Output
All values use the Poisson PMF (Wikipedia, EN).
Limits of the Poisson model
Strong model, with caveats:
- Independent goals = simplifying assumption
- Red cards and game state shifts are not in the model
- Very low/high xG can skew accuracy
SHARE THIS TOOL
How to use the Poisson calculator
- Enter the home xG
- Enter the away xG
- Click Calculate (or use live update)
- Review Correct Score probabilities/fair odds plus match outcome distributions
For anyone doing data-led football work.
Why Poisson helps xG models
xG tracks chance quality, not just past goals.
Benefits such as
- Less noise from finishing luck
- Matches predictions to underlying xG/quality
- Fair-odds from clean probabilities
- Spot model vs book value
Poisson is a staple in football AI / ML stacks.
Frequently asked questions (FAQ)
It models score odds from your xG inputs for the match and markets.
Good for goal counts; pair with xG + form/situational context for best use.
Yes: derive fair prob/odds, compare to books for value-hunting (not a tip service).
Use your best pre-kickoff xG read (team strength, form, opponent) — the tool is agnostic to the source
Yes. Your xG inputs fill the scoreline grid, each line with a probability, same model as 1X2 & BTTS.
Chance each team scores 1+ . Yes/No from the same xG-Poisson as the correct-score view.