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
38.72%
Fair Odds
2.58
Draw
24.05%
Fair Odds
4.16
Away Win
37.23%
Fair Odds
2.69
Most Likely Score
1 - 1
Probability 9.61%
Fair Odds 10.41
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 | 2.58 | — | |
| Draw | 4.16 | — | |
| Away Win | 2.69 | — |
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 | 9.61% | 10.41 |
| 2 | 2-1 | 8.21% | 12.18 |
| 3 | 1-2 | 8.16% | 12.25 |
| 4 | 2-2 | 6.98% | 14.33 |
| 5 | 1-0 | 5.65% | 17.7 |
| 6 | 0-1 | 5.62% | 17.8 |
| 7 | 2-0 | 4.83% | 20.7 |
| 8 | 0-2 | 4.77% | 20.94 |
| 9 | 3-1 | 4.68% | 21.36 |
| 10 | 1-3 | 4.63% | 21.61 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.3%
30.27
|
5.62%
17.8
|
4.77%
20.94
|
2.71%
36.96
|
1.15%
86.96
|
0.39%
255.82
|
| 1 |
5.65%
17.7
|
9.61%
10.41
|
8.16%
12.25
|
4.63%
21.61
|
1.97%
50.86
|
0.67%
149.59
|
| 2 |
4.83%
20.7
|
8.21%
12.18
|
6.98%
14.33
|
3.96%
25.28
|
1.68%
59.48
|
0.57%
174.95
|
| 3 |
2.75%
36.32
|
4.68%
21.36
|
3.98%
25.13
|
2.25%
44.35
|
0.96%
104.35
|
0.33%
306.94
|
| 4 |
1.18%
84.95
|
2.0%
49.97
|
1.7%
58.79
|
0.96%
103.75
|
0.41%
244.08
|
0.14%
717.88
|
| 5 |
0.4%
248.39
|
0.68%
146.11
|
0.58%
171.91
|
0.33%
303.4
|
0.14%
713.78
|
0.05%
2100.84
|
Any other score (6+ goals either side)
1.61%
·
Fair:
61.92
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.91% | 18.09% |
| 1.5 | 50.99% | 49.01% |
| 2.5 | 24.54% | 75.46% |
| 3.5 | 9.47% | 90.53% |
| 4.5 | 3.03% | 96.97% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.73% | 18.27% |
| 1.5 | 50.68% | 49.32% |
| 2.5 | 24.28% | 75.72% |
| 3.5 | 9.32% | 90.68% |
| 4.5 | 2.96% | 97.04% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.30% | 30.27 |
| 1 | 11.27% | 8.88 |
| 2 | 19.21% | 5.21 |
| 3 | 21.84% | 4.58 |
| 4 | 18.62% | 5.37 |
| 5+ | 25.77% | 3.88 |
|
Over 2.5 66.22%
Under 2.5 33.78%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
38.72%
Draw
24.05%
Away Win
37.23%
Over / Under 2.5
Over 2.5
66.22%
Under 2.5
33.78%
Both to score (BTTS)
Yes
66.95%
No
33.05%
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 | 8.36% 11.96 | 11.59% 8.63 | 80.05% 1.25 |
| -1.5 | 19.94% 5.01 | — | 80.05% 1.25 |
| -1.0 | 19.94% 5.01 | 18.96% 5.27 | 61.1% 1.64 |
| -0.5 | 38.9% 2.57 | — | 61.1% 1.64 |
| 0 (PK) | 38.9% 2.57 | 22.61% 4.42 | 38.49% 2.6 |
| +0.5 | 61.51% 1.63 | — | 38.49% 2.6 |
| +1.0 | 61.51% 1.63 | 18.85% 5.31 | 19.64% 5.09 |
| +1.5 | 80.36% 1.24 | — | 19.64% 5.09 |
| +2.0 | 80.36% 1.24 | 11.45% 8.73 | 8.19% 12.21 |
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.