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
27.32%
Fair Odds
3.66
Draw
28.1%
Fair Odds
3.56
Away Win
44.58%
Fair Odds
2.24
Most Likely Score
1 - 1
Probability 12.6%
Fair Odds 7.94
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 | 3.66 | — | |
| Draw | 3.56 | — | |
| Away Win | 2.24 | — |
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 | 12.6% | 7.94 |
| 2 | 0-1 | 11.77% | 8.49 |
| 3 | 1-2 | 8.94% | 11.18 |
| 4 | 1-0 | 8.87% | 11.27 |
| 5 | 0-2 | 8.36% | 11.96 |
| 6 | 0-0 | 8.29% | 12.06 |
| 7 | 2-1 | 6.74% | 14.84 |
| 8 | 2-2 | 4.79% | 20.9 |
| 9 | 2-0 | 4.75% | 21.07 |
| 10 | 1-3 | 4.23% | 23.62 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
8.29%
12.06
|
11.77%
8.49
|
8.36%
11.96
|
3.96%
25.27
|
1.4%
71.19
|
0.4%
250.69
|
| 1 |
8.87%
11.27
|
12.6%
7.94
|
8.94%
11.18
|
4.23%
23.62
|
1.5%
66.54
|
0.43%
234.3
|
| 2 |
4.75%
21.07
|
6.74%
14.84
|
4.79%
20.9
|
2.26%
44.15
|
0.8%
124.36
|
0.23%
437.83
|
| 3 |
1.69%
59.07
|
2.4%
41.6
|
1.71%
58.59
|
0.81%
123.79
|
0.29%
348.68
|
0.08%
1228.5
|
| 4 |
0.45%
220.85
|
0.64%
155.52
|
0.46%
219.06
|
0.22%
462.75
|
0.08%
1303.78
|
0.02%
4587.16
|
| 5 |
0.1%
1031.99
|
0.14%
726.74
|
0.1%
1023.54
|
0.05%
2164.5
|
0.02%
6097.56
|
0.0%
21276.6
|
Any other score (6+ goals either side)
0.43%
·
Fair:
234.36
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 65.7% | 34.3% |
| 1.5 | 29.0% | 71.0% |
| 2.5 | 9.36% | 90.64% |
| 3.5 | 2.36% | 97.64% |
| 4.5 | 0.48% | 99.52% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 75.83% | 24.17% |
| 1.5 | 41.51% | 58.49% |
| 2.5 | 17.14% | 82.86% |
| 3.5 | 5.6% | 94.4% |
| 4.5 | 1.51% | 98.49% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 8.29% | 12.06 |
| 1 | 20.64% | 4.84 |
| 2 | 25.70% | 3.89 |
| 3 | 21.33% | 4.69 |
| 4 | 13.28% | 7.53 |
| 5+ | 10.75% | 9.30 |
|
Over 2.5 45.36%
Under 2.5 54.64%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
27.32%
Draw
28.10%
Away Win
44.58%
Over / Under 2.5
Over 2.5
45.36%
Under 2.5
54.64%
Both to score (BTTS)
Yes
49.82%
No
50.18%
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 | 3.2% 31.24 | 7.66% 13.06 | 89.14% 1.12 |
| -1.5 | 10.86% 9.21 | — | 89.14% 1.12 |
| -1.0 | 10.86% 9.21 | 17.55% 5.7 | 71.59% 1.4 |
| -0.5 | 28.41% 3.52 | — | 71.59% 1.4 |
| 0 (PK) | 28.41% 3.52 | 26.56% 3.76 | 45.03% 2.22 |
| +0.5 | 54.97% 1.82 | — | 45.03% 2.22 |
| +1.0 | 54.97% 1.82 | 23.29% 4.29 | 21.74% 4.6 |
| +1.5 | 78.26% 1.28 | — | 21.74% 4.6 |
| +2.0 | 78.26% 1.28 | 13.48% 7.42 | 8.25% 12.12 |
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.