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
41.33%
Fair Odds
2.42
Draw
26.93%
Fair Odds
3.71
Away Win
31.75%
Fair Odds
3.15
Most Likely Score
1 - 1
Probability 12.03%
Fair Odds 8.31
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 | 2.42 | — | |
| Draw | 3.71 | — | |
| Away Win | 3.15 | — |
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 | 12.03% | 8.31 |
| 2 | 1-0 | 9.4% | 10.64 |
| 3 | 2-1 | 8.84% | 11.31 |
| 4 | 0-1 | 8.18% | 12.22 |
| 5 | 1-2 | 7.7% | 12.99 |
| 6 | 2-0 | 6.91% | 14.48 |
| 7 | 0-0 | 6.39% | 15.64 |
| 8 | 2-2 | 5.66% | 17.67 |
| 9 | 0-2 | 5.24% | 19.09 |
| 10 | 3-1 | 4.33% | 23.08 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.39%
15.64
|
8.18%
12.22
|
5.24%
19.09
|
2.23%
44.75
|
0.71%
139.86
|
0.18%
546.45
|
| 1 |
9.4%
10.64
|
12.03%
8.31
|
7.7%
12.99
|
3.28%
30.45
|
1.05%
95.14
|
0.27%
371.61
|
| 2 |
6.91%
14.48
|
8.84%
11.31
|
5.66%
17.67
|
2.41%
41.42
|
0.77%
129.45
|
0.2%
505.56
|
| 3 |
3.38%
29.55
|
4.33%
23.08
|
2.77%
36.07
|
1.18%
84.53
|
0.38%
264.2
|
0.1%
1031.99
|
| 4 |
1.24%
80.4
|
1.59%
62.81
|
1.02%
98.15
|
0.43%
230.04
|
0.14%
718.91
|
0.04%
2808.99
|
| 5 |
0.37%
273.45
|
0.47%
213.63
|
0.3%
333.78
|
0.13%
782.47
|
0.04%
2444.99
|
0.01%
9523.81
|
Any other score (6+ goals either side)
0.61%
·
Fair:
163.85
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.01% | 22.99% |
| 1.5 | 43.21% | 56.79% |
| 2.5 | 18.37% | 81.63% |
| 3.5 | 6.19% | 93.81% |
| 4.5 | 1.72% | 98.28% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 72.2% | 27.8% |
| 1.5 | 36.61% | 63.39% |
| 2.5 | 13.83% | 86.17% |
| 3.5 | 4.11% | 95.89% |
| 4.5 | 1.0% | 99.0% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.39% | 15.64 |
| 1 | 17.58% | 5.69 |
| 2 | 24.17% | 4.14 |
| 3 | 22.16% | 4.51 |
| 4 | 15.23% | 6.56 |
| 5+ | 14.46% | 6.91 |
|
Over 2.5 51.85%
Under 2.5 48.15%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
41.33%
Draw
26.93%
Away Win
31.75%
Over / Under 2.5
Over 2.5
51.85%
Under 2.5
48.15%
Both to score (BTTS)
Yes
55.6%
No
44.4%
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 | 7.74% 12.91 | 12.4% 8.07 | 79.86% 1.25 |
| -1.5 | 20.14% 4.97 | — | 79.86% 1.25 |
| -1.0 | 20.14% 4.97 | 21.49% 4.65 | 58.37% 1.71 |
| -0.5 | 41.63% 2.4 | — | 58.37% 1.71 |
| 0 (PK) | 41.63% 2.4 | 25.41% 3.94 | 32.96% 3.03 |
| +0.5 | 67.04% 1.49 | — | 32.96% 3.03 |
| +1.0 | 67.04% 1.49 | 18.71% 5.34 | 14.25% 7.02 |
| +1.5 | 85.75% 1.17 | — | 14.25% 7.02 |
| +2.0 | 85.75% 1.17 | 9.4% 10.64 | 4.85% 20.64 |
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.