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
41.03%
Fair Odds
2.44
Draw
25.39%
Fair Odds
3.94
Away Win
33.58%
Fair Odds
2.98
Most Likely Score
1 - 1
Probability 10.91%
Fair Odds 9.16
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 | 2.44 | — | |
| Draw | 3.94 | — | |
| Away Win | 2.98 | — |
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 | 10.91% | 9.16 |
| 2 | 2-1 | 8.78% | 11.38 |
| 3 | 1-2 | 7.97% | 12.55 |
| 4 | 1-0 | 7.47% | 13.38 |
| 5 | 0-1 | 6.78% | 14.75 |
| 6 | 2-2 | 6.41% | 15.6 |
| 7 | 2-0 | 6.02% | 16.62 |
| 8 | 0-2 | 4.95% | 20.21 |
| 9 | 3-1 | 4.71% | 21.21 |
| 10 | 0-0 | 4.64% | 21.54 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.64%
21.54
|
6.78%
14.75
|
4.95%
20.21
|
2.41%
41.53
|
0.88%
113.78
|
0.26%
389.71
|
| 1 |
7.47%
13.38
|
10.91%
9.16
|
7.97%
12.55
|
3.88%
25.8
|
1.42%
70.67
|
0.41%
242.01
|
| 2 |
6.02%
16.62
|
8.78%
11.38
|
6.41%
15.6
|
3.12%
32.04
|
1.14%
87.8
|
0.33%
300.66
|
| 3 |
3.23%
30.97
|
4.71%
21.21
|
3.44%
29.06
|
1.67%
59.71
|
0.61%
163.59
|
0.18%
560.22
|
| 4 |
1.3%
76.95
|
1.9%
52.7
|
1.39%
72.2
|
0.67%
148.35
|
0.25%
406.5
|
0.07%
1392.76
|
| 5 |
0.42%
238.95
|
0.61%
163.67
|
0.45%
224.22
|
0.22%
460.62
|
0.08%
1262.63
|
0.02%
4329.0
|
Any other score (6+ goals either side)
1.01%
·
Fair:
98.93
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.01% | 19.99% |
| 1.5 | 47.83% | 52.17% |
| 2.5 | 21.92% | 78.08% |
| 3.5 | 8.02% | 91.98% |
| 4.5 | 2.42% | 97.58% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.78% | 23.22% |
| 1.5 | 42.87% | 57.13% |
| 2.5 | 18.12% | 81.88% |
| 3.5 | 6.07% | 93.93% |
| 4.5 | 1.68% | 98.32% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.64% | 21.54 |
| 1 | 14.25% | 7.02 |
| 2 | 21.88% | 4.57 |
| 3 | 22.39% | 4.47 |
| 4 | 17.18% | 5.82 |
| 5+ | 19.66% | 5.09 |
|
Over 2.5 59.23%
Under 2.5 40.77%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
41.03%
Draw
25.39%
Away Win
33.58%
Over / Under 2.5
Over 2.5
59.23%
Under 2.5
40.77%
Both to score (BTTS)
Yes
61.43%
No
38.57%
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 | 8.49% 11.78 | 12.36% 8.09 | 79.15% 1.26 |
| -1.5 | 20.85% 4.8 | — | 79.15% 1.26 |
| -1.0 | 20.85% 4.8 | 20.46% 4.89 | 58.69% 1.7 |
| -0.5 | 41.31% 2.42 | — | 58.69% 1.7 |
| 0 (PK) | 41.31% 2.42 | 23.91% 4.18 | 34.78% 2.88 |
| +0.5 | 65.22% 1.53 | — | 34.78% 2.88 |
| +1.0 | 65.22% 1.53 | 18.55% 5.39 | 16.23% 6.16 |
| +1.5 | 83.77% 1.19 | — | 16.23% 6.16 |
| +2.0 | 83.77% 1.19 | 10.16% 9.84 | 6.07% 16.48 |
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.