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
50.72%
Fair Odds
1.97
Draw
22.74%
Fair Odds
4.4
Away Win
26.55%
Fair Odds
3.77
Most Likely Score
2 - 1
Probability 9.17%
Fair Odds 10.9
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 | 1.97 | — | |
| Draw | 4.4 | — | |
| Away Win | 3.77 | — |
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 | 2-1 | 9.17% | 10.9 |
| 2 | 1-1 | 8.95% | 11.18 |
| 3 | 2-2 | 6.7% | 14.94 |
| 4 | 1-2 | 6.53% | 15.31 |
| 5 | 2-0 | 6.28% | 15.92 |
| 6 | 3-1 | 6.27% | 15.96 |
| 7 | 1-0 | 6.13% | 16.32 |
| 8 | 3-2 | 4.58% | 21.86 |
| 9 | 0-1 | 4.37% | 22.91 |
| 10 | 3-0 | 4.29% | 23.29 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
2.99%
33.45
|
4.37%
22.91
|
3.19%
31.38
|
1.55%
64.49
|
0.57%
176.68
|
0.17%
604.96
|
| 1 |
6.13%
16.32
|
8.95%
11.18
|
6.53%
15.31
|
3.18%
31.46
|
1.16%
86.18
|
0.34%
295.16
|
| 2 |
6.28%
15.92
|
9.17%
10.9
|
6.7%
14.94
|
3.26%
30.69
|
1.19%
84.08
|
0.35%
287.94
|
| 3 |
4.29%
23.29
|
6.27%
15.96
|
4.58%
21.86
|
2.23%
44.91
|
0.81%
123.05
|
0.24%
421.41
|
| 4 |
2.2%
45.45
|
3.21%
31.13
|
2.34%
42.65
|
1.14%
87.63
|
0.42%
240.1
|
0.12%
822.37
|
| 5 |
0.9%
110.86
|
1.32%
75.93
|
0.96%
104.01
|
0.47%
213.72
|
0.17%
585.48
|
0.05%
2004.01
|
Any other score (6+ goals either side)
2.23%
·
Fair:
44.9
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 87.13% | 12.87% |
| 1.5 | 60.73% | 39.26% |
| 2.5 | 33.68% | 66.31% |
| 3.5 | 15.2% | 84.8% |
| 4.5 | 5.73% | 94.27% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.78% | 23.22% |
| 1.5 | 42.87% | 57.13% |
| 2.5 | 18.12% | 81.88% |
| 3.5 | 6.07% | 93.93% |
| 4.5 | 1.68% | 98.32% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 2.99% | 33.45 |
| 1 | 10.49% | 9.53 |
| 2 | 18.42% | 5.43 |
| 3 | 21.55% | 4.64 |
| 4 | 18.91% | 5.29 |
| 5+ | 27.64% | 3.62 |
|
Over 2.5 68.1%
Under 2.5 31.9%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
50.72%
Draw
22.74%
Away Win
26.55%
Over / Under 2.5
Over 2.5
68.1%
Under 2.5
31.9%
Both to score (BTTS)
Yes
66.89%
No
33.11%
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 | 14.64% 6.83 | 15.43% 6.48 | 69.93% 1.43 |
| -1.5 | 30.07% 3.33 | — | 69.93% 1.43 |
| -1.0 | 30.07% 3.33 | 21.21% 4.72 | 48.73% 2.05 |
| -0.5 | 51.27% 1.95 | — | 48.73% 2.05 |
| 0 (PK) | 51.27% 1.95 | 21.33% 4.69 | 27.4% 3.65 |
| +0.5 | 72.6% 1.38 | — | 27.4% 3.65 |
| +1.0 | 72.6% 1.38 | 15.1% 6.62 | 12.29% 8.13 |
| +1.5 | 87.71% 1.14 | — | 12.29% 8.13 |
| +2.0 | 87.71% 1.14 | 7.82% 12.78 | 4.47% 22.38 |
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.