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
33.99%
Fair Odds
2.94
Draw
24.41%
Fair Odds
4.1
Away Win
41.61%
Fair Odds
2.4
Most Likely Score
1 - 1
Probability 10.02%
Fair Odds 9.98
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 | 2.94 | — | |
| Draw | 4.1 | — | |
| Away Win | 2.4 | — |
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 | 10.02% | 9.98 |
| 2 | 1-2 | 8.67% | 11.54 |
| 3 | 2-1 | 7.86% | 12.72 |
| 4 | 2-2 | 6.8% | 14.7 |
| 5 | 0-1 | 6.38% | 15.67 |
| 6 | 1-0 | 5.79% | 17.27 |
| 7 | 0-2 | 5.52% | 18.12 |
| 8 | 1-3 | 5.0% | 20.01 |
| 9 | 2-0 | 4.55% | 22.0 |
| 10 | 3-1 | 4.12% | 24.3 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.69%
27.11
|
6.38%
15.67
|
5.52%
18.12
|
3.18%
31.42
|
1.38%
72.64
|
0.48%
209.95
|
| 1 |
5.79%
17.27
|
10.02%
9.98
|
8.67%
11.54
|
5.0%
20.01
|
2.16%
46.27
|
0.75%
133.73
|
| 2 |
4.55%
22.0
|
7.86%
12.72
|
6.8%
14.7
|
3.92%
25.49
|
1.7%
58.94
|
0.59%
170.36
|
| 3 |
2.38%
42.04
|
4.12%
24.3
|
3.56%
28.09
|
2.05%
48.71
|
0.89%
112.63
|
0.31%
325.52
|
| 4 |
0.93%
107.1
|
1.62%
61.91
|
1.4%
71.57
|
0.81%
124.1
|
0.35%
286.94
|
0.12%
829.19
|
| 5 |
0.29%
341.06
|
0.51%
197.16
|
0.44%
227.95
|
0.25%
395.26
|
0.11%
914.08
|
0.04%
2638.52
|
Any other score (6+ goals either side)
1.41%
·
Fair:
70.71
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 79.2% | 20.8% |
| 1.5 | 46.53% | 53.47% |
| 2.5 | 20.89% | 79.11% |
| 3.5 | 7.47% | 92.53% |
| 4.5 | 2.21% | 97.79% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 82.27% | 17.73% |
| 1.5 | 51.6% | 48.4% |
| 2.5 | 25.07% | 74.93% |
| 3.5 | 9.77% | 90.23% |
| 4.5 | 3.16% | 96.84% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.69% | 27.11 |
| 1 | 12.17% | 8.22 |
| 2 | 20.08% | 4.98 |
| 3 | 22.09% | 4.53 |
| 4 | 18.23% | 5.49 |
| 5+ | 23.74% | 4.21 |
|
Over 2.5 64.06%
Under 2.5 35.94%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
33.99%
Draw
24.41%
Away Win
41.61%
Over / Under 2.5
Over 2.5
64.06%
Under 2.5
35.94%
Both to score (BTTS)
Yes
65.16%
No
34.84%
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 | 6.67% 14.98 | 10.34% 9.67 | 82.98% 1.21 |
| -1.5 | 17.02% 5.88 | — | 82.98% 1.21 |
| -1.0 | 17.02% 5.88 | 18.14% 5.51 | 64.84% 1.54 |
| -0.5 | 35.16% 2.84 | — | 64.84% 1.54 |
| 0 (PK) | 35.16% 2.84 | 22.95% 4.36 | 41.89% 2.39 |
| +0.5 | 58.11% 1.72 | — | 41.89% 2.39 |
| +1.0 | 58.11% 1.72 | 19.99% 5.0 | 21.9% 4.57 |
| +1.5 | 78.1% 1.28 | — | 21.9% 4.57 |
| +2.0 | 78.1% 1.28 | 12.56% 7.96 | 9.35% 10.7 |
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.