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
26.82%
Fair Odds
3.73
Draw
25.81%
Fair Odds
3.87
Away Win
47.37%
Fair Odds
2.11
Most Likely Score
1 - 1
Probability 11.45%
Fair Odds 8.73
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 | 3.73 | — | |
| Draw | 3.87 | — | |
| Away Win | 2.11 | — |
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 | 11.45% | 8.73 |
| 2 | 0-1 | 9.54% | 10.48 |
| 3 | 1-2 | 9.45% | 10.58 |
| 4 | 0-2 | 7.87% | 12.7 |
| 5 | 1-0 | 6.94% | 14.41 |
| 6 | 2-1 | 6.87% | 14.55 |
| 7 | 0-0 | 5.78% | 17.29 |
| 8 | 2-2 | 5.67% | 17.64 |
| 9 | 1-3 | 5.2% | 19.24 |
| 10 | 0-3 | 4.33% | 23.09 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.78%
17.29
|
9.54%
10.48
|
7.87%
12.7
|
4.33%
23.09
|
1.79%
55.98
|
0.59%
169.64
|
| 1 |
6.94%
14.41
|
11.45%
8.73
|
9.45%
10.58
|
5.2%
19.24
|
2.14%
46.65
|
0.71%
141.36
|
| 2 |
4.16%
24.01
|
6.87%
14.55
|
5.67%
17.64
|
3.12%
32.07
|
1.29%
77.75
|
0.42%
235.57
|
| 3 |
1.67%
60.03
|
2.75%
36.38
|
2.27%
44.1
|
1.25%
80.17
|
0.51%
194.36
|
0.17%
588.93
|
| 4 |
0.5%
200.08
|
0.82%
121.27
|
0.68%
146.99
|
0.37%
267.24
|
0.15%
648.09
|
0.05%
1964.64
|
| 5 |
0.12%
834.03
|
0.2%
505.31
|
0.16%
612.37
|
0.09%
1113.59
|
0.04%
2702.7
|
0.01%
8196.72
|
Any other score (6+ goals either side)
0.85%
·
Fair:
118.18
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 69.88% | 30.12% |
| 1.5 | 33.74% | 66.26% |
| 2.5 | 12.05% | 87.95% |
| 3.5 | 3.38% | 96.62% |
| 4.5 | 0.77% | 99.23% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.79% | 19.2% |
| 1.5 | 49.11% | 50.89% |
| 2.5 | 22.96% | 77.04% |
| 3.5 | 8.59% | 91.41% |
| 4.5 | 2.65% | 97.35% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.78% | 17.29 |
| 1 | 16.49% | 6.07 |
| 2 | 23.49% | 4.26 |
| 3 | 22.32% | 4.48 |
| 4 | 15.90% | 6.29 |
| 5+ | 16.02% | 6.24 |
|
Over 2.5 54.24%
Under 2.5 45.76%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
26.82%
Draw
25.81%
Away Win
47.37%
Over / Under 2.5
Over 2.5
54.24%
Under 2.5
45.76%
Both to score (BTTS)
Yes
56.46%
No
43.54%
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 | 3.61% 27.7 | 7.69% 13.0 | 88.7% 1.13 |
| -1.5 | 11.3% 8.85 | — | 88.7% 1.13 |
| -1.0 | 11.3% 8.85 | 16.49% 6.06 | 72.2% 1.38 |
| -0.5 | 27.8% 3.6 | — | 72.2% 1.38 |
| 0 (PK) | 27.8% 3.6 | 24.32% 4.11 | 47.88% 2.09 |
| +0.5 | 52.12% 1.92 | — | 47.88% 2.09 |
| +1.0 | 52.12% 1.92 | 22.68% 4.41 | 25.2% 3.97 |
| +1.5 | 74.8% 1.34 | — | 25.2% 3.97 |
| +2.0 | 74.8% 1.34 | 14.54% 6.88 | 10.66% 9.38 |
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.