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
38.84%
Fair Odds
2.57
Draw
26.07%
Fair Odds
3.84
Away Win
35.09%
Fair Odds
2.85
Most Likely Score
1 - 1
Probability 11.42%
Fair Odds 8.76
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 | 2.57 | — | |
| Draw | 3.84 | — | |
| Away Win | 2.85 | — |
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 | 11.42% | 8.76 |
| 2 | 2-1 | 8.56% | 11.68 |
| 3 | 1-2 | 8.22% | 12.16 |
| 4 | 1-0 | 7.93% | 12.61 |
| 5 | 0-1 | 7.61% | 13.14 |
| 6 | 2-2 | 6.17% | 16.22 |
| 7 | 2-0 | 5.95% | 16.81 |
| 8 | 0-2 | 5.48% | 18.24 |
| 9 | 0-0 | 5.29% | 18.92 |
| 10 | 3-1 | 4.28% | 23.35 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.29%
18.92
|
7.61%
13.14
|
5.48%
18.24
|
2.63%
38.01
|
0.95%
105.59
|
0.27%
366.57
|
| 1 |
7.93%
12.61
|
11.42%
8.76
|
8.22%
12.16
|
3.95%
25.34
|
1.42%
70.39
|
0.41%
244.38
|
| 2 |
5.95%
16.81
|
8.56%
11.68
|
6.17%
16.22
|
2.96%
33.79
|
1.07%
93.85
|
0.31%
325.84
|
| 3 |
2.97%
33.63
|
4.28%
23.35
|
3.08%
32.43
|
1.48%
67.57
|
0.53%
187.69
|
0.15%
651.89
|
| 4 |
1.12%
89.68
|
1.61%
62.27
|
1.16%
86.49
|
0.56%
180.18
|
0.2%
500.5
|
0.06%
1739.13
|
| 5 |
0.33%
298.95
|
0.48%
207.6
|
0.35%
288.27
|
0.17%
600.6
|
0.06%
1669.45
|
0.02%
5780.35
|
Any other score (6+ goals either side)
0.81%
·
Fair:
123.38
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.69% | 22.31% |
| 1.5 | 44.22% | 55.78% |
| 2.5 | 19.12% | 80.88% |
| 3.5 | 6.56% | 93.44% |
| 4.5 | 1.86% | 98.14% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.31% | 23.69% |
| 1.5 | 42.19% | 57.81% |
| 2.5 | 17.62% | 82.38% |
| 3.5 | 5.83% | 94.17% |
| 4.5 | 1.59% | 98.41% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.29% | 18.92 |
| 1 | 15.54% | 6.43 |
| 2 | 22.85% | 4.38 |
| 3 | 22.39% | 4.47 |
| 4 | 16.46% | 6.08 |
| 5+ | 17.48% | 5.72 |
|
Over 2.5 56.32%
Under 2.5 43.68%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
38.84%
Draw
26.07%
Away Win
35.09%
Over / Under 2.5
Over 2.5
56.32%
Under 2.5
43.68%
Both to score (BTTS)
Yes
59.28%
No
40.72%
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 | 7.28% 13.73 | 11.57% 8.64 | 81.15% 1.23 |
| -1.5 | 18.85% 5.31 | — | 81.15% 1.23 |
| -1.0 | 18.85% 5.31 | 20.2% 4.95 | 60.95% 1.64 |
| -0.5 | 39.05% 2.56 | — | 60.95% 1.64 |
| 0 (PK) | 39.05% 2.56 | 24.57% 4.07 | 36.38% 2.75 |
| +0.5 | 63.62% 1.57 | — | 36.38% 2.75 |
| +1.0 | 63.62% 1.57 | 19.39% 5.16 | 16.99% 5.88 |
| +1.5 | 83.0% 1.2 | — | 16.99% 5.88 |
| +2.0 | 83.0% 1.2 | 10.66% 9.38 | 6.33% 15.79 |
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.