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
33.11%
Fair Odds
3.02
Draw
26.15%
Fair Odds
3.82
Away Win
40.74%
Fair Odds
2.45
Most Likely Score
1 - 1
Probability 11.5%
Fair Odds 8.69
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 | 3.02 | — | |
| Draw | 3.82 | — | |
| Away Win | 2.45 | — |
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 | 11.5% | 8.69 |
| 2 | 1-2 | 8.8% | 11.36 |
| 3 | 0-1 | 8.33% | 12.0 |
| 4 | 2-1 | 7.94% | 12.6 |
| 5 | 1-0 | 7.52% | 13.3 |
| 6 | 0-2 | 6.38% | 15.68 |
| 7 | 2-2 | 6.07% | 16.47 |
| 8 | 0-0 | 5.45% | 18.36 |
| 9 | 2-0 | 5.19% | 19.28 |
| 10 | 1-3 | 4.49% | 22.28 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.45%
18.36
|
8.33%
12.0
|
6.38%
15.68
|
3.25%
30.75
|
1.24%
80.4
|
0.38%
262.74
|
| 1 |
7.52%
13.3
|
11.5%
8.69
|
8.8%
11.36
|
4.49%
22.28
|
1.72%
58.26
|
0.53%
190.4
|
| 2 |
5.19%
19.28
|
7.94%
12.6
|
6.07%
16.47
|
3.1%
32.3
|
1.18%
84.43
|
0.36%
275.94
|
| 3 |
2.39%
41.91
|
3.65%
27.39
|
2.79%
35.81
|
1.42%
70.21
|
0.54%
183.55
|
0.17%
599.88
|
| 4 |
0.82%
121.48
|
1.26%
79.4
|
0.96%
103.79
|
0.49%
203.5
|
0.19%
531.91
|
0.06%
1739.13
|
| 5 |
0.23%
440.14
|
0.35%
287.69
|
0.27%
376.08
|
0.14%
737.46
|
0.05%
1926.78
|
0.02%
6289.31
|
Any other score (6+ goals either side)
0.79%
·
Fair:
127.11
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 74.84% | 25.16% |
| 1.5 | 40.12% | 59.88% |
| 2.5 | 16.17% | 83.83% |
| 3.5 | 5.15% | 94.85% |
| 4.5 | 1.35% | 98.65% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.35% | 21.65% |
| 1.5 | 45.22% | 54.78% |
| 2.5 | 19.87% | 80.13% |
| 3.5 | 6.95% | 93.05% |
| 4.5 | 2.0% | 98.0% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.45% | 18.36 |
| 1 | 15.85% | 6.31 |
| 2 | 23.07% | 4.34 |
| 3 | 22.37% | 4.47 |
| 4 | 16.28% | 6.14 |
| 5+ | 16.98% | 5.89 |
|
Over 2.5 55.63%
Under 2.5 44.37%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
33.11%
Draw
26.15%
Away Win
40.74%
Over / Under 2.5
Over 2.5
55.63%
Under 2.5
44.37%
Both to score (BTTS)
Yes
58.64%
No
41.36%
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 | 5.59% 17.89 | 9.95% 10.05 | 84.46% 1.18 |
| -1.5 | 15.54% 6.43 | — | 84.46% 1.18 |
| -1.0 | 15.54% 6.43 | 18.79% 5.32 | 65.67% 1.52 |
| -0.5 | 34.33% 2.91 | — | 65.67% 1.52 |
| 0 (PK) | 34.33% 2.91 | 24.65% 4.06 | 41.02% 2.44 |
| +0.5 | 58.98% 1.7 | — | 41.02% 2.44 |
| +1.0 | 58.98% 1.7 | 20.84% 4.8 | 20.18% 4.96 |
| +1.5 | 79.82% 1.25 | — | 20.18% 4.96 |
| +2.0 | 79.82% 1.25 | 12.23% 8.18 | 7.95% 12.58 |
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.