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
19.26%
Fair Odds
5.19
Draw
23.4%
Fair Odds
4.27
Away Win
57.34%
Fair Odds
1.74
Most Likely Score
1 - 1
Probability 10.35%
Fair Odds 9.66
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 | 5.19 | — | |
| Draw | 4.27 | — | |
| Away Win | 1.74 | — |
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 | 10.35% | 9.66 |
| 2 | 0-1 | 10.05% | 9.95 |
| 3 | 1-2 | 9.94% | 10.06 |
| 4 | 0-2 | 9.65% | 10.37 |
| 5 | 1-3 | 6.36% | 15.72 |
| 6 | 0-3 | 6.17% | 16.2 |
| 7 | 1-0 | 5.39% | 18.55 |
| 8 | 2-1 | 5.33% | 18.76 |
| 9 | 0-0 | 5.23% | 19.11 |
| 10 | 2-2 | 5.12% | 19.54 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.23%
19.11
|
10.05%
9.95
|
9.65%
10.37
|
6.17%
16.2
|
2.96%
33.74
|
1.14%
87.87
|
| 1 |
5.39%
18.55
|
10.35%
9.66
|
9.94%
10.06
|
6.36%
15.72
|
3.05%
32.76
|
1.17%
85.31
|
| 2 |
2.78%
36.02
|
5.33%
18.76
|
5.12%
19.54
|
3.28%
30.53
|
1.57%
63.61
|
0.6%
165.65
|
| 3 |
0.95%
104.91
|
1.83%
54.64
|
1.76%
56.92
|
1.12%
88.93
|
0.54%
185.29
|
0.21%
482.39
|
| 4 |
0.25%
407.33
|
0.47%
212.18
|
0.45%
221.04
|
0.29%
345.3
|
0.14%
719.42
|
0.05%
1872.66
|
| 5 |
0.05%
1976.28
|
0.1%
1029.87
|
0.09%
1072.96
|
0.06%
1677.85
|
0.03%
3496.5
|
0.01%
9090.91
|
Any other score (6+ goals either side)
1.45%
·
Fair:
68.87
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 64.3% | 35.7% |
| 1.5 | 27.53% | 72.47% |
| 2.5 | 8.59% | 91.41% |
| 3.5 | 2.09% | 97.91% |
| 4.5 | 0.41% | 99.59% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.34% | 14.66% |
| 1.5 | 57.19% | 42.81% |
| 2.5 | 30.17% | 69.83% |
| 3.5 | 12.87% | 87.13% |
| 4.5 | 4.57% | 95.43% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.23% | 19.11 |
| 1 | 15.44% | 6.48 |
| 2 | 22.77% | 4.39 |
| 3 | 22.39% | 4.47 |
| 4 | 16.52% | 6.05 |
| 5+ | 17.64% | 5.67 |
|
Over 2.5 56.55%
Under 2.5 43.45%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
19.26%
Draw
23.40%
Away Win
57.34%
Over / Under 2.5
Over 2.5
56.55%
Under 2.5
43.45%
Both to score (BTTS)
Yes
54.87%
No
45.13%
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 | 1.97% 50.71 | 5.12% 19.52 | 92.9% 1.08 |
| -1.5 | 7.1% 14.09 | — | 92.9% 1.08 |
| -1.0 | 7.1% 14.09 | 12.8% 7.81 | 80.1% 1.25 |
| -0.5 | 19.89% 5.03 | — | 80.1% 1.25 |
| 0 (PK) | 19.89% 5.03 | 21.98% 4.55 | 58.13% 1.72 |
| +0.5 | 41.87% 2.39 | — | 58.13% 1.72 |
| +1.0 | 41.87% 2.39 | 23.86% 4.19 | 34.27% 2.92 |
| +1.5 | 65.73% 1.52 | — | 34.27% 2.92 |
| +2.0 | 65.73% 1.52 | 17.8% 5.62 | 16.47% 6.07 |
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.