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
56.98%
Fair Odds
1.76
Draw
25.65%
Fair Odds
3.9
Away Win
17.38%
Fair Odds
5.76
Most Likely Score
1 - 0
Probability 13.99%
Fair Odds 7.15
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 | 1.76 | — | |
| Draw | 3.9 | — | |
| Away Win | 5.76 | — |
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 | 1-0 | 13.99% | 7.15 |
| 2 | 2-0 | 11.68% | 8.56 |
| 3 | 1-1 | 11.33% | 8.83 |
| 4 | 2-1 | 9.46% | 10.57 |
| 5 | 0-0 | 8.37% | 11.94 |
| 6 | 0-1 | 6.78% | 14.74 |
| 7 | 3-0 | 6.5% | 15.38 |
| 8 | 3-1 | 5.27% | 18.99 |
| 9 | 1-2 | 4.59% | 21.8 |
| 10 | 2-2 | 3.83% | 26.1 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
8.37%
11.94
|
6.78%
14.74
|
2.75%
36.4
|
0.74%
134.83
|
0.15%
665.78
|
0.02%
4115.23
|
| 1 |
13.99%
7.15
|
11.33%
8.83
|
4.59%
21.8
|
1.24%
80.73
|
0.25%
398.72
|
0.04%
2463.05
|
| 2 |
11.68%
8.56
|
9.46%
10.57
|
3.83%
26.1
|
1.03%
96.68
|
0.21%
477.33
|
0.03%
2949.85
|
| 3 |
6.5%
15.38
|
5.27%
18.99
|
2.13%
46.89
|
0.58%
173.67
|
0.12%
857.63
|
0.02%
5291.01
|
| 4 |
2.71%
36.85
|
2.2%
45.49
|
0.89%
112.32
|
0.24%
415.97
|
0.05%
2053.39
|
0.01%
12658.23
|
| 5 |
0.91%
110.31
|
0.73%
136.2
|
0.3%
336.25
|
0.08%
1245.33
|
0.02%
6134.97
|
0.0%
38461.54
|
Any other score (6+ goals either side)
0.76%
·
Fair:
132.17
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.18% | 18.82% |
| 1.5 | 49.74% | 50.26% |
| 2.5 | 23.49% | 76.51% |
| 3.5 | 8.88% | 91.12% |
| 4.5 | 2.77% | 97.23% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 55.51% | 44.49% |
| 1.5 | 19.48% | 80.52% |
| 2.5 | 4.89% | 95.11% |
| 3.5 | 0.95% | 99.05% |
| 4.5 | 0.15% | 99.85% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 8.37% | 11.94 |
| 1 | 20.77% | 4.82 |
| 2 | 25.75% | 3.88 |
| 3 | 21.29% | 4.70 |
| 4 | 13.20% | 7.58 |
| 5+ | 10.62% | 9.42 |
|
Over 2.5 45.1%
Under 2.5 54.9%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
56.98%
Draw
25.65%
Away Win
17.38%
Over / Under 2.5
Over 2.5
45.1%
Under 2.5
54.9%
Both to score (BTTS)
Yes
45.06%
No
54.94%
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 | 14.08% 7.1 | 17.92% 5.58 | 68.0% 1.47 |
| -1.5 | 32.0% 3.12 | — | 68.0% 1.47 |
| -1.0 | 32.0% 3.12 | 25.83% 3.87 | 42.17% 2.37 |
| -0.5 | 57.83% 1.73 | — | 42.17% 2.37 |
| 0 (PK) | 57.83% 1.73 | 24.16% 4.14 | 18.01% 5.55 |
| +0.5 | 81.99% 1.22 | — | 18.01% 5.55 |
| +1.0 | 81.99% 1.22 | 12.53% 7.98 | 5.48% 18.26 |
| +1.5 | 94.52% 1.06 | — | 5.48% 18.26 |
| +2.0 | 94.52% 1.06 | 4.22% 23.72 | 1.26% 79.38 |
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.