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
49.81%
Fair Odds
2.01
Draw
23.78%
Fair Odds
4.21
Away Win
26.41%
Fair Odds
3.79
Most Likely Score
1 - 1
Probability 9.95%
Fair Odds 10.05
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 | 2.01 | — | |
| Draw | 4.21 | — | |
| Away Win | 3.79 | — |
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 | 9.95% | 10.05 |
| 2 | 2-1 | 9.45% | 10.58 |
| 3 | 1-0 | 7.37% | 13.57 |
| 4 | 2-0 | 7.0% | 14.29 |
| 5 | 1-2 | 6.71% | 14.9 |
| 6 | 2-2 | 6.38% | 15.68 |
| 7 | 3-1 | 5.98% | 16.71 |
| 8 | 0-1 | 5.23% | 19.1 |
| 9 | 3-0 | 4.43% | 22.56 |
| 10 | 3-2 | 4.04% | 24.76 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.88%
25.79
|
5.23%
19.1
|
3.53%
28.3
|
1.59%
62.89
|
0.54%
186.36
|
0.14%
690.13
|
| 1 |
7.37%
13.57
|
9.95%
10.05
|
6.71%
14.9
|
3.02%
33.1
|
1.02%
98.08
|
0.28%
363.24
|
| 2 |
7.0%
14.29
|
9.45%
10.58
|
6.38%
15.68
|
2.87%
34.84
|
0.97%
103.24
|
0.26%
382.41
|
| 3 |
4.43%
22.56
|
5.98%
16.71
|
4.04%
24.76
|
1.82%
55.02
|
0.61%
163.03
|
0.17%
603.86
|
| 4 |
2.11%
47.49
|
2.84%
35.18
|
1.92%
52.12
|
0.86%
115.82
|
0.29%
343.17
|
0.08%
1270.65
|
| 5 |
0.8%
124.98
|
1.08%
92.58
|
0.73%
137.16
|
0.33%
304.79
|
0.11%
903.34
|
0.03%
3344.48
|
Any other score (6+ goals either side)
1.59%
·
Fair:
63.04
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.04% | 14.96% |
| 1.5 | 56.62% | 43.37% |
| 2.5 | 29.63% | 70.37% |
| 3.5 | 12.53% | 87.47% |
| 4.5 | 4.41% | 95.59% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 74.08% | 25.92% |
| 1.5 | 39.08% | 60.92% |
| 2.5 | 15.46% | 84.54% |
| 3.5 | 4.82% | 95.18% |
| 4.5 | 1.24% | 98.76% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.88% | 25.79 |
| 1 | 12.60% | 7.94 |
| 2 | 20.48% | 4.88 |
| 3 | 22.18% | 4.51 |
| 4 | 18.02% | 5.55 |
| 5+ | 22.83% | 4.38 |
|
Over 2.5 63.04%
Under 2.5 36.96%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
49.81%
Draw
23.78%
Away Win
26.41%
Over / Under 2.5
Over 2.5
63.04%
Under 2.5
36.96%
Both to score (BTTS)
Yes
63.0%
No
37.0%
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 | 13.26% 7.54 | 15.27% 6.55 | 71.47% 1.4 |
| -1.5 | 28.53% 3.51 | — | 71.47% 1.4 |
| -1.0 | 28.53% 3.51 | 21.84% 4.58 | 49.63% 2.01 |
| -0.5 | 50.37% 1.99 | — | 49.63% 2.01 |
| 0 (PK) | 50.37% 1.99 | 22.34% 4.48 | 27.29% 3.66 |
| +0.5 | 72.71% 1.38 | — | 27.29% 3.66 |
| +1.0 | 72.71% 1.38 | 15.52% 6.44 | 11.77% 8.49 |
| +1.5 | 88.22% 1.13 | — | 11.77% 8.49 |
| +2.0 | 88.22% 1.13 | 7.71% 12.97 | 4.07% 24.59 |
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.