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
40.79%
Fair Odds
2.45
Draw
29.04%
Fair Odds
3.44
Away Win
30.17%
Fair Odds
3.31
Most Likely Score
1 - 1
Probability 12.97%
Fair Odds 7.71
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 | 2.45 | — | |
| Draw | 3.44 | — | |
| Away Win | 3.31 | — |
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 | 12.97% | 7.71 |
| 2 | 1-0 | 11.79% | 8.48 |
| 3 | 0-1 | 9.98% | 10.02 |
| 4 | 0-0 | 9.07% | 11.02 |
| 5 | 2-1 | 8.43% | 11.86 |
| 6 | 2-0 | 7.67% | 13.05 |
| 7 | 1-2 | 7.13% | 14.02 |
| 8 | 0-2 | 5.49% | 18.22 |
| 9 | 2-2 | 4.64% | 21.56 |
| 10 | 3-1 | 3.65% | 27.37 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
9.07%
11.02
|
9.98%
10.02
|
5.49%
18.22
|
2.01%
49.69
|
0.55%
180.7
|
0.12%
821.02
|
| 1 |
11.79%
8.48
|
12.97%
7.71
|
7.13%
14.02
|
2.62%
38.22
|
0.72%
139.0
|
0.16%
631.71
|
| 2 |
7.67%
13.05
|
8.43%
11.86
|
4.64%
21.56
|
1.7%
58.81
|
0.47%
213.86
|
0.1%
971.82
|
| 3 |
3.32%
30.1
|
3.65%
27.37
|
2.01%
49.76
|
0.74%
135.7
|
0.2%
493.58
|
0.04%
2242.15
|
| 4 |
1.08%
92.63
|
1.19%
84.21
|
0.65%
153.12
|
0.24%
417.54
|
0.07%
1517.45
|
0.01%
6896.55
|
| 5 |
0.28%
356.25
|
0.31%
323.83
|
0.17%
588.93
|
0.06%
1605.14
|
0.02%
5847.95
|
0.0%
26315.79
|
Any other score (6+ goals either side)
0.32%
·
Fair:
312.99
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 72.75% | 27.25% |
| 1.5 | 37.32% | 62.68% |
| 2.5 | 14.29% | 85.71% |
| 3.5 | 4.31% | 95.69% |
| 4.5 | 1.07% | 98.93% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 66.71% | 33.29% |
| 1.5 | 30.1% | 69.9% |
| 2.5 | 9.96% | 90.04% |
| 3.5 | 2.57% | 97.43% |
| 4.5 | 0.54% | 99.46% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 9.07% | 11.02 |
| 1 | 21.77% | 4.59 |
| 2 | 26.13% | 3.83 |
| 3 | 20.90% | 4.78 |
| 4 | 12.54% | 7.97 |
| 5+ | 9.59% | 10.43 |
|
Over 2.5 43.03%
Under 2.5 56.97%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
40.79%
Draw
29.04%
Away Win
30.17%
Over / Under 2.5
Over 2.5
43.03%
Under 2.5
56.97%
Both to score (BTTS)
Yes
48.53%
No
51.47%
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 | 6.57% 15.23 | 12.04% 8.31 | 81.39% 1.23 |
| -1.5 | 18.61% 5.37 | — | 81.39% 1.23 |
| -1.0 | 18.61% 5.37 | 22.49% 4.45 | 58.9% 1.7 |
| -0.5 | 41.1% 2.43 | — | 58.9% 1.7 |
| 0 (PK) | 41.1% 2.43 | 27.49% 3.64 | 31.41% 3.18 |
| +0.5 | 68.59% 1.46 | — | 31.41% 3.18 |
| +1.0 | 68.59% 1.46 | 19.03% 5.25 | 12.38% 8.08 |
| +1.5 | 87.62% 1.14 | — | 12.38% 8.08 |
| +2.0 | 87.62% 1.14 | 8.62% 11.6 | 3.76% 26.59 |
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.