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
41.66%
Fair Odds
2.4
Draw
27.23%
Fair Odds
3.67
Away Win
31.11%
Fair Odds
3.21
Most Likely Score
1 - 1
Probability 12.21%
Fair Odds 8.19
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 | 2.4 | — | |
| Draw | 3.67 | — | |
| Away Win | 3.21 | — |
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 | 12.21% | 8.19 |
| 2 | 1-0 | 9.84% | 10.16 |
| 3 | 2-1 | 8.85% | 11.3 |
| 4 | 0-1 | 8.42% | 11.88 |
| 5 | 1-2 | 7.57% | 13.22 |
| 6 | 2-0 | 7.14% | 14.01 |
| 7 | 0-0 | 6.79% | 14.73 |
| 8 | 2-2 | 5.49% | 18.23 |
| 9 | 0-2 | 5.22% | 19.16 |
| 10 | 3-1 | 4.28% | 23.38 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.79%
14.73
|
8.42%
11.88
|
5.22%
19.16
|
2.16%
46.36
|
0.67%
149.54
|
0.17%
603.14
|
| 1 |
9.84%
10.16
|
12.21%
8.19
|
7.57%
13.22
|
3.13%
31.97
|
0.97%
103.14
|
0.24%
415.8
|
| 2 |
7.14%
14.01
|
8.85%
11.3
|
5.49%
18.23
|
2.27%
44.1
|
0.7%
142.25
|
0.17%
573.72
|
| 3 |
3.45%
28.99
|
4.28%
23.38
|
2.65%
37.71
|
1.1%
91.24
|
0.34%
294.29
|
0.08%
1186.24
|
| 4 |
1.25%
79.98
|
1.55%
64.5
|
0.96%
104.04
|
0.4%
251.7
|
0.12%
811.69
|
0.03%
3278.69
|
| 5 |
0.36%
275.79
|
0.45%
222.42
|
0.28%
358.68
|
0.12%
868.06
|
0.04%
2801.12
|
0.01%
11235.96
|
Any other score (6+ goals either side)
0.55%
·
Fair:
180.21
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.54% | 23.46% |
| 1.5 | 42.53% | 57.47% |
| 2.5 | 17.87% | 82.13% |
| 3.5 | 5.95% | 94.05% |
| 4.5 | 1.63% | 98.37% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.06% | 28.94% |
| 1.5 | 35.18% | 64.82% |
| 2.5 | 12.93% | 87.07% |
| 3.5 | 3.73% | 96.27% |
| 4.5 | 0.88% | 99.12% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.79% | 14.73 |
| 1 | 18.26% | 5.48 |
| 2 | 24.56% | 4.07 |
| 3 | 22.02% | 4.54 |
| 4 | 14.81% | 6.75 |
| 5+ | 13.56% | 7.37 |
|
Over 2.5 50.39%
Under 2.5 49.61%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
41.66%
Draw
27.23%
Away Win
31.11%
Over / Under 2.5
Over 2.5
50.39%
Under 2.5
49.61%
Both to score (BTTS)
Yes
54.39%
No
45.61%
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 | 7.71% 12.97 | 12.5% 8.0 | 79.79% 1.25 |
| -1.5 | 20.21% 4.95 | — | 79.79% 1.25 |
| -1.0 | 20.21% 4.95 | 21.78% 4.59 | 58.02% 1.72 |
| -0.5 | 41.98% 2.38 | — | 58.02% 1.72 |
| 0 (PK) | 41.98% 2.38 | 25.71% 3.89 | 32.31% 3.1 |
| +0.5 | 67.69% 1.48 | — | 32.31% 3.1 |
| +1.0 | 67.69% 1.48 | 18.62% 5.37 | 13.68% 7.31 |
| +1.5 | 86.32% 1.16 | — | 13.68% 7.31 |
| +2.0 | 86.32% 1.16 | 9.14% 10.94 | 4.54% 22.01 |
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.