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
57.4%
Fair Odds
1.74
Draw
23.71%
Fair Odds
4.22
Away Win
18.89%
Fair Odds
5.29
Most Likely Score
1 - 0
Probability 10.66%
Fair Odds 9.38
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 | 1.74 | — | |
| Draw | 4.22 | — | |
| Away Win | 5.29 | — |
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 | 10.66% | 9.38 |
| 2 | 1-1 | 10.55% | 9.48 |
| 3 | 2-0 | 10.02% | 9.98 |
| 4 | 2-1 | 9.92% | 10.08 |
| 5 | 3-0 | 6.28% | 15.93 |
| 6 | 3-1 | 6.22% | 16.09 |
| 7 | 0-0 | 5.67% | 17.64 |
| 8 | 0-1 | 5.61% | 17.82 |
| 9 | 1-2 | 5.22% | 19.14 |
| 10 | 2-2 | 4.91% | 20.37 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.67%
17.64
|
5.61%
17.82
|
2.78%
35.99
|
0.92%
109.06
|
0.23%
440.72
|
0.04%
2227.17
|
| 1 |
10.66%
9.38
|
10.55%
9.48
|
5.22%
19.14
|
1.72%
58.01
|
0.43%
234.41
|
0.08%
1183.43
|
| 2 |
10.02%
9.98
|
9.92%
10.08
|
4.91%
20.37
|
1.62%
61.71
|
0.4%
249.38
|
0.08%
1259.45
|
| 3 |
6.28%
15.93
|
6.22%
16.09
|
3.08%
32.5
|
1.02%
98.48
|
0.25%
397.93
|
0.05%
2008.03
|
| 4 |
2.95%
33.88
|
2.92%
34.23
|
1.45%
69.15
|
0.48%
209.51
|
0.12%
846.74
|
0.02%
4273.5
|
| 5 |
1.11%
90.12
|
1.1%
91.02
|
0.54%
183.89
|
0.18%
557.41
|
0.04%
2252.25
|
0.01%
11363.64
|
Any other score (6+ goals either side)
1.32%
·
Fair:
75.95
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 84.74% | 15.26% |
| 1.5 | 56.05% | 43.95% |
| 2.5 | 29.09% | 70.91% |
| 3.5 | 12.19% | 87.81% |
| 4.5 | 4.25% | 95.75% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 62.84% | 37.16% |
| 1.5 | 26.06% | 73.94% |
| 2.5 | 7.85% | 92.15% |
| 3.5 | 1.84% | 98.16% |
| 4.5 | 0.35% | 99.65% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.67% | 17.64 |
| 1 | 16.27% | 6.15 |
| 2 | 23.35% | 4.28 |
| 3 | 22.34% | 4.48 |
| 4 | 16.03% | 6.24 |
| 5+ | 16.34% | 6.12 |
|
Over 2.5 54.71%
Under 2.5 45.29%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
57.40%
Draw
23.71%
Away Win
18.89%
Over / Under 2.5
Over 2.5
54.71%
Under 2.5
45.29%
Both to score (BTTS)
Yes
53.25%
No
46.75%
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 | 16.15% 6.19 | 17.88% 5.59 | 65.98% 1.52 |
| -1.5 | 34.02% 2.94 | — | 65.98% 1.52 |
| -1.0 | 34.02% 2.94 | 24.18% 4.14 | 41.8% 2.39 |
| -0.5 | 58.2% 1.72 | — | 41.8% 2.39 |
| 0 (PK) | 58.2% 1.72 | 22.28% 4.49 | 19.52% 5.12 |
| +0.5 | 80.48% 1.24 | — | 19.52% 5.12 |
| +1.0 | 80.48% 1.24 | 12.73% 7.85 | 6.79% 14.73 |
| +1.5 | 93.21% 1.07 | — | 6.79% 14.73 |
| +2.0 | 93.21% 1.07 | 4.96% 20.17 | 1.83% 54.66 |
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.