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
32.19%
Fair Odds
3.11
Draw
24.05%
Fair Odds
4.16
Away Win
43.76%
Fair Odds
2.28
Most Likely Score
1 - 1
Probability 9.74%
Fair Odds 10.26
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 | 3.11 | — | |
| Draw | 4.16 | — | |
| Away Win | 2.28 | — |
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 | 9.74% | 10.26 |
| 2 | 1-2 | 8.82% | 11.34 |
| 3 | 2-1 | 7.55% | 13.24 |
| 4 | 2-2 | 6.83% | 14.63 |
| 5 | 0-1 | 6.29% | 15.91 |
| 6 | 0-2 | 5.69% | 17.58 |
| 7 | 1-0 | 5.38% | 18.57 |
| 8 | 1-3 | 5.32% | 18.79 |
| 9 | 2-0 | 4.17% | 23.97 |
| 10 | 2-3 | 4.12% | 24.25 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.47%
28.79
|
6.29%
15.91
|
5.69%
17.58
|
3.43%
29.13
|
1.55%
64.37
|
0.56%
177.84
|
| 1 |
5.38%
18.57
|
9.74%
10.26
|
8.82%
11.34
|
5.32%
18.79
|
2.41%
41.53
|
0.87%
114.73
|
| 2 |
4.17%
23.97
|
7.55%
13.24
|
6.83%
14.63
|
4.12%
24.25
|
1.87%
53.59
|
0.68%
148.04
|
| 3 |
2.16%
46.39
|
3.9%
25.63
|
3.53%
28.32
|
2.13%
46.94
|
0.96%
103.72
|
0.35%
286.53
|
| 4 |
0.84%
119.7
|
1.51%
66.13
|
1.37%
73.08
|
0.83%
121.12
|
0.37%
267.67
|
0.14%
739.64
|
| 5 |
0.26%
386.1
|
0.47%
213.36
|
0.42%
235.74
|
0.26%
390.78
|
0.12%
863.56
|
0.04%
2386.63
|
Any other score (6+ goals either side)
1.58%
·
Fair:
63.34
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.78% | 21.22% |
| 1.5 | 45.88% | 54.12% |
| 2.5 | 20.38% | 79.62% |
| 3.5 | 7.21% | 92.79% |
| 4.5 | 2.1% | 97.9% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 83.63% | 16.37% |
| 1.5 | 54.01% | 45.99% |
| 2.5 | 27.21% | 72.79% |
| 3.5 | 11.03% | 88.97% |
| 4.5 | 3.71% | 96.29% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.47% | 28.79 |
| 1 | 11.67% | 8.57 |
| 2 | 19.61% | 5.10 |
| 3 | 21.96% | 4.55 |
| 4 | 18.45% | 5.42 |
| 5+ | 24.84% | 4.03 |
|
Over 2.5 65.25%
Under 2.5 34.75%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
32.19%
Draw
24.05%
Away Win
43.76%
Over / Under 2.5
Over 2.5
65.25%
Under 2.5
34.75%
Both to score (BTTS)
Yes
65.88%
No
34.12%
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 | 6.13% 16.32 | 9.73% 10.28 | 84.14% 1.19 |
| -1.5 | 15.86% 6.31 | — | 84.14% 1.19 |
| -1.0 | 15.86% 6.31 | 17.42% 5.74 | 66.72% 1.5 |
| -0.5 | 33.28% 3.0 | — | 66.72% 1.5 |
| 0 (PK) | 33.28% 3.0 | 22.6% 4.42 | 44.12% 2.27 |
| +0.5 | 55.88% 1.79 | — | 44.12% 2.27 |
| +1.0 | 55.88% 1.79 | 20.34% 4.92 | 23.77% 4.21 |
| +1.5 | 76.22% 1.31 | — | 23.77% 4.21 |
| +2.0 | 76.22% 1.31 | 13.27% 7.54 | 10.5% 9.52 |
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.