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
24.78%
Fair Odds
4.04
Draw
27.47%
Fair Odds
3.64
Away Win
47.75%
Fair Odds
2.09
Most Likely Score
1 - 1
Probability 12.31%
Fair Odds 8.12
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 | 4.04 | — | |
| Draw | 3.64 | — | |
| Away Win | 2.09 | — |
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 | 12.31% | 8.12 |
| 2 | 0-1 | 12.07% | 8.29 |
| 3 | 1-2 | 9.23% | 10.83 |
| 4 | 0-2 | 9.05% | 11.05 |
| 5 | 1-0 | 8.21% | 12.18 |
| 6 | 0-0 | 8.05% | 12.43 |
| 7 | 2-1 | 6.28% | 15.93 |
| 8 | 2-2 | 4.71% | 21.24 |
| 9 | 1-3 | 4.62% | 21.66 |
| 10 | 0-3 | 4.53% | 22.1 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
8.05%
12.43
|
12.07%
8.29
|
9.05%
11.05
|
4.53%
22.1
|
1.7%
58.92
|
0.51%
196.39
|
| 1 |
8.21%
12.18
|
12.31%
8.12
|
9.23%
10.83
|
4.62%
21.66
|
1.73%
57.77
|
0.52%
192.57
|
| 2 |
4.19%
23.89
|
6.28%
15.93
|
4.71%
21.24
|
2.35%
42.48
|
0.88%
113.26
|
0.26%
377.5
|
| 3 |
1.42%
70.27
|
2.13%
46.85
|
1.6%
62.46
|
0.8%
124.92
|
0.3%
333.11
|
0.09%
1109.88
|
| 4 |
0.36%
275.56
|
0.54%
183.72
|
0.41%
244.98
|
0.2%
489.96
|
0.08%
1307.19
|
0.02%
4347.83
|
| 5 |
0.07%
1351.35
|
0.11%
900.9
|
0.08%
1200.48
|
0.04%
2403.85
|
0.02%
6410.26
|
0.0%
21276.6
|
Any other score (6+ goals either side)
0.51%
·
Fair:
195.66
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 63.94% | 36.06% |
| 1.5 | 27.16% | 72.84% |
| 2.5 | 8.4% | 91.6% |
| 3.5 | 2.02% | 97.98% |
| 4.5 | 0.4% | 99.6% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.69% | 22.31% |
| 1.5 | 44.22% | 55.78% |
| 2.5 | 19.12% | 80.88% |
| 3.5 | 6.56% | 93.44% |
| 4.5 | 1.86% | 98.14% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 8.05% | 12.43 |
| 1 | 20.28% | 4.93 |
| 2 | 25.55% | 3.91 |
| 3 | 21.46% | 4.66 |
| 4 | 13.52% | 7.40 |
| 5+ | 11.15% | 8.97 |
|
Over 2.5 46.13%
Under 2.5 53.87%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
24.78%
Draw
27.47%
Away Win
47.75%
Over / Under 2.5
Over 2.5
46.13%
Under 2.5
53.87%
Both to score (BTTS)
Yes
49.67%
No
50.33%
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 | 2.66% 37.59 | 6.77% 14.76 | 90.57% 1.1 |
| -1.5 | 9.43% 10.6 | — | 90.57% 1.1 |
| -1.0 | 9.43% 10.6 | 16.31% 6.13 | 74.26% 1.35 |
| -0.5 | 25.74% 3.89 | — | 74.26% 1.35 |
| 0 (PK) | 25.74% 3.89 | 25.95% 3.85 | 48.31% 2.07 |
| +0.5 | 51.69% 1.93 | — | 48.31% 2.07 |
| +1.0 | 51.69% 1.93 | 23.98% 4.17 | 24.33% 4.11 |
| +1.5 | 75.67% 1.32 | — | 24.33% 4.11 |
| +2.0 | 75.67% 1.32 | 14.65% 6.83 | 9.69% 10.32 |
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.