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
34.9%
Fair Odds
2.87
Draw
22.65%
Fair Odds
4.41
Away Win
42.44%
Fair Odds
2.36
Most Likely Score
1 - 1
Probability 8.1%
Fair Odds 12.35
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 | 2.87 | — | |
| Draw | 4.41 | — | |
| Away Win | 2.36 | — |
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 | 8.1% | 12.35 |
| 2 | 1-2 | 8.02% | 12.47 |
| 3 | 2-1 | 7.33% | 13.65 |
| 4 | 2-2 | 7.26% | 13.78 |
| 5 | 1-3 | 5.29% | 18.9 |
| 6 | 2-3 | 4.79% | 20.88 |
| 7 | 0-1 | 4.47% | 22.35 |
| 8 | 0-2 | 4.43% | 22.58 |
| 9 | 3-1 | 4.42% | 22.62 |
| 10 | 3-2 | 4.38% | 22.84 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
2.26%
44.26
|
4.47%
22.35
|
4.43%
22.58
|
2.92%
34.21
|
1.45%
69.11
|
0.57%
174.52
|
| 1 |
4.09%
24.45
|
8.1%
12.35
|
8.02%
12.47
|
5.29%
18.9
|
2.62%
38.18
|
1.04%
96.41
|
| 2 |
3.7%
27.02
|
7.33%
13.65
|
7.26%
13.78
|
4.79%
20.88
|
2.37%
42.19
|
0.94%
106.54
|
| 3 |
2.23%
44.78
|
4.42%
22.62
|
4.38%
22.84
|
2.89%
34.61
|
1.43%
69.93
|
0.57%
176.58
|
| 4 |
1.01%
98.96
|
2.0%
49.98
|
1.98%
50.48
|
1.31%
76.49
|
0.65%
154.54
|
0.26%
390.17
|
| 5 |
0.37%
273.37
|
0.72%
138.06
|
0.72%
139.47
|
0.47%
211.33
|
0.23%
426.8
|
0.09%
1077.59
|
Any other score (6+ goals either side)
2.63%
·
Fair:
38.0
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 83.63% | 16.37% |
| 1.5 | 54.01% | 45.99% |
| 2.5 | 27.21% | 72.79% |
| 3.5 | 11.03% | 88.97% |
| 4.5 | 3.71% | 96.29% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 86.19% | 13.81% |
| 1.5 | 58.85% | 41.14% |
| 2.5 | 31.79% | 68.21% |
| 3.5 | 13.93% | 86.07% |
| 4.5 | 5.09% | 94.91% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 2.26% | 44.26 |
| 1 | 8.56% | 11.68 |
| 2 | 16.23% | 6.16 |
| 3 | 20.50% | 4.88 |
| 4 | 19.43% | 5.15 |
| 5+ | 33.02% | 3.03 |
|
Over 2.5 72.95%
Under 2.5 27.05%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
34.90%
Draw
22.65%
Away Win
42.44%
Over / Under 2.5
Over 2.5
72.95%
Under 2.5
27.05%
Both to score (BTTS)
Yes
72.09%
No
27.91%
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 | 7.99% 12.51 | 10.66% 9.39 | 81.35% 1.23 |
| -1.5 | 18.65% 5.36 | — | 81.35% 1.23 |
| -1.0 | 18.65% 5.36 | 17.37% 5.76 | 63.98% 1.56 |
| -0.5 | 36.02% 2.78 | — | 63.98% 1.56 |
| 0 (PK) | 36.02% 2.78 | 21.25% 4.71 | 42.73% 2.34 |
| +0.5 | 57.27% 1.75 | — | 42.73% 2.34 |
| +1.0 | 57.27% 1.75 | 19.0% 5.26 | 23.73% 4.21 |
| +1.5 | 76.27% 1.31 | — | 23.73% 4.21 |
| +2.0 | 76.27% 1.31 | 12.75% 7.84 | 10.98% 9.11 |
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.