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
36.49%
Fair Odds
2.74
Draw
22.24%
Fair Odds
4.5
Away Win
41.27%
Fair Odds
2.42
Most Likely Score
1 - 2
Probability 7.62%
Fair Odds 13.13
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 | 2.74 | — | |
| Draw | 4.5 | — | |
| Away Win | 2.42 | — |
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 | 1-2 | 7.62% | 13.13 |
| 2 | 1-1 | 7.54% | 13.26 |
| 3 | 2-2 | 7.31% | 13.67 |
| 4 | 2-1 | 7.24% | 13.81 |
| 5 | 1-3 | 5.13% | 19.49 |
| 6 | 2-3 | 4.92% | 20.31 |
| 7 | 3-2 | 4.68% | 21.36 |
| 8 | 3-1 | 4.63% | 21.58 |
| 9 | 0-2 | 3.97% | 25.2 |
| 10 | 0-1 | 3.93% | 25.45 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
1.94%
51.42
|
3.93%
25.45
|
3.97%
25.2
|
2.67%
37.43
|
1.35%
74.12
|
0.55%
183.45
|
| 1 |
3.73%
26.78
|
7.54%
13.26
|
7.62%
13.13
|
5.13%
19.49
|
2.59%
38.6
|
1.05%
95.55
|
| 2 |
3.58%
27.9
|
7.24%
13.81
|
7.31%
13.67
|
4.92%
20.31
|
2.49%
40.21
|
1.0%
99.53
|
| 3 |
2.29%
43.59
|
4.63%
21.58
|
4.68%
21.36
|
3.15%
31.73
|
1.59%
62.83
|
0.64%
155.52
|
| 4 |
1.1%
90.81
|
2.22%
44.95
|
2.25%
44.51
|
1.51%
66.1
|
0.76%
130.89
|
0.31%
324.04
|
| 5 |
0.42%
236.46
|
0.85%
117.07
|
0.86%
115.92
|
0.58%
172.15
|
0.29%
340.83
|
0.12%
843.88
|
Any other score (6+ goals either side)
3.09%
·
Fair:
32.37
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.34% | 14.66% |
| 1.5 | 57.19% | 42.81% |
| 2.5 | 30.17% | 69.83% |
| 3.5 | 12.87% | 87.13% |
| 4.5 | 4.57% | 95.43% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 86.73% | 13.27% |
| 1.5 | 59.94% | 40.06% |
| 2.5 | 32.87% | 67.13% |
| 3.5 | 14.65% | 85.35% |
| 4.5 | 5.45% | 94.55% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 1.94% | 51.42 |
| 1 | 7.66% | 13.05 |
| 2 | 15.10% | 6.62 |
| 3 | 19.83% | 5.04 |
| 4 | 19.53% | 5.12 |
| 5+ | 35.94% | 2.78 |
|
Over 2.5 75.3%
Under 2.5 24.7%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
36.49%
Draw
22.24%
Away Win
41.27%
Over / Under 2.5
Over 2.5
75.3%
Under 2.5
24.7%
Both to score (BTTS)
Yes
74.02%
No
25.98%
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 | 8.98% 11.14 | 11.15% 8.97 | 79.87% 1.25 |
| -1.5 | 20.13% 4.97 | — | 79.87% 1.25 |
| -1.0 | 20.13% 4.97 | 17.5% 5.71 | 62.37% 1.6 |
| -0.5 | 37.63% 2.66 | — | 62.37% 1.6 |
| 0 (PK) | 37.63% 2.66 | 20.85% 4.8 | 41.52% 2.41 |
| +0.5 | 58.48% 1.71 | — | 41.52% 2.41 |
| +1.0 | 58.48% 1.71 | 18.42% 5.43 | 23.1% 4.33 |
| +1.5 | 76.9% 1.3 | — | 23.1% 4.33 |
| +2.0 | 76.9% 1.3 | 12.34% 8.1 | 10.76% 9.3 |
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.