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
39.87%
Fair Odds
2.51
Draw
25.66%
Fair Odds
3.9
Away Win
34.47%
Fair Odds
2.9
Most Likely Score
1 - 1
Probability 11.12%
Fair Odds 9.0
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 | 2.51 | — | |
| Draw | 3.9 | — | |
| Away Win | 2.9 | — |
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 | 11.12% | 9.0 |
| 2 | 2-1 | 8.67% | 11.53 |
| 3 | 1-2 | 8.11% | 12.32 |
| 4 | 1-0 | 7.61% | 13.14 |
| 5 | 0-1 | 7.12% | 14.04 |
| 6 | 2-2 | 6.33% | 15.8 |
| 7 | 2-0 | 5.94% | 16.84 |
| 8 | 0-2 | 5.2% | 19.23 |
| 9 | 0-0 | 4.88% | 20.49 |
| 10 | 3-1 | 4.51% | 22.18 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.88%
20.49
|
7.12%
14.04
|
5.2%
19.23
|
2.53%
39.51
|
0.92%
108.24
|
0.27%
370.64
|
| 1 |
7.61%
13.14
|
11.12%
9.0
|
8.11%
12.32
|
3.95%
25.32
|
1.44%
69.38
|
0.42%
237.59
|
| 2 |
5.94%
16.84
|
8.67%
11.53
|
6.33%
15.8
|
3.08%
32.47
|
1.12%
88.95
|
0.33%
304.6
|
| 3 |
3.09%
32.39
|
4.51%
22.18
|
3.29%
30.39
|
1.6%
62.44
|
0.58%
171.06
|
0.17%
585.82
|
| 4 |
1.2%
83.04
|
1.76%
56.88
|
1.28%
77.91
|
0.62%
160.1
|
0.23%
438.6
|
0.07%
1501.5
|
| 5 |
0.38%
266.17
|
0.55%
182.28
|
0.4%
249.69
|
0.19%
513.08
|
0.07%
1406.47
|
0.02%
4807.69
|
Any other score (6+ goals either side)
0.93%
·
Fair:
108.0
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.99% | 21.01% |
| 1.5 | 46.21% | 53.79% |
| 2.5 | 20.64% | 79.36% |
| 3.5 | 7.34% | 92.66% |
| 4.5 | 2.15% | 97.85% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.78% | 23.22% |
| 1.5 | 42.87% | 57.13% |
| 2.5 | 18.12% | 81.88% |
| 3.5 | 6.07% | 93.93% |
| 4.5 | 1.68% | 98.32% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.88% | 20.49 |
| 1 | 14.74% | 6.79 |
| 2 | 22.25% | 4.49 |
| 3 | 22.40% | 4.46 |
| 4 | 16.91% | 5.91 |
| 5+ | 18.81% | 5.32 |
|
Over 2.5 58.13%
Under 2.5 41.87%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
39.87%
Draw
25.66%
Away Win
34.47%
Over / Under 2.5
Over 2.5
58.13%
Under 2.5
41.87%
Both to score (BTTS)
Yes
60.64%
No
39.36%
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 | 7.88% 12.68 | 11.94% 8.37 | 80.17% 1.25 |
| -1.5 | 19.83% 5.04 | — | 80.17% 1.25 |
| -1.0 | 19.83% 5.04 | 20.28% 4.93 | 59.9% 1.67 |
| -0.5 | 40.1% 2.49 | — | 59.9% 1.67 |
| 0 (PK) | 40.1% 2.49 | 24.18% 4.14 | 35.72% 2.8 |
| +0.5 | 64.28% 1.56 | — | 35.72% 2.8 |
| +1.0 | 64.28% 1.56 | 18.98% 5.27 | 16.74% 5.97 |
| +1.5 | 83.25% 1.2 | — | 16.74% 5.97 |
| +2.0 | 83.25% 1.2 | 10.46% 9.56 | 6.28% 15.92 |
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.