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
47.18%
Fair Odds
2.12
Draw
23.37%
Fair Odds
4.28
Away Win
29.45%
Fair Odds
3.4
Most Likely Score
1 - 1
Probability 9.27%
Fair Odds 10.79
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 | 2.12 | — | |
| Draw | 4.28 | — | |
| Away Win | 3.4 | — |
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 | 9.27% | 10.79 |
| 2 | 2-1 | 8.99% | 11.12 |
| 3 | 1-2 | 7.04% | 14.2 |
| 4 | 2-2 | 6.83% | 14.64 |
| 5 | 1-0 | 6.1% | 16.4 |
| 6 | 2-0 | 5.91% | 16.91 |
| 7 | 3-1 | 5.81% | 17.2 |
| 8 | 0-1 | 4.78% | 20.93 |
| 9 | 3-2 | 4.42% | 22.63 |
| 10 | 3-0 | 3.82% | 26.15 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.14%
31.82
|
4.78%
20.93
|
3.63%
27.54
|
1.84%
54.36
|
0.7%
143.06
|
0.21%
470.59
|
| 1 |
6.1%
16.4
|
9.27%
10.79
|
7.04%
14.2
|
3.57%
28.02
|
1.36%
73.74
|
0.41%
242.54
|
| 2 |
5.91%
16.91
|
8.99%
11.12
|
6.83%
14.64
|
3.46%
28.89
|
1.32%
76.02
|
0.4%
250.06
|
| 3 |
3.82%
26.15
|
5.81%
17.2
|
4.42%
22.63
|
2.24%
44.67
|
0.85%
117.55
|
0.26%
386.7
|
| 4 |
1.85%
53.91
|
2.82%
35.47
|
2.14%
46.67
|
1.09%
92.11
|
0.41%
242.37
|
0.13%
797.45
|
| 5 |
0.72%
138.95
|
1.09%
91.41
|
0.83%
120.28
|
0.42%
237.36
|
0.16%
624.61
|
0.05%
2053.39
|
Any other score (6+ goals either side)
1.92%
·
Fair:
52.19
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.63% | 14.37% |
| 1.5 | 57.75% | 42.25% |
| 2.5 | 30.71% | 69.29% |
| 3.5 | 13.22% | 86.78% |
| 4.5 | 4.74% | 95.26% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.13% | 21.87% |
| 1.5 | 44.88% | 55.12% |
| 2.5 | 19.62% | 80.38% |
| 3.5 | 6.82% | 93.18% |
| 4.5 | 1.95% | 98.05% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.14% | 31.82 |
| 1 | 10.87% | 9.20 |
| 2 | 18.81% | 5.32 |
| 3 | 21.70% | 4.61 |
| 4 | 18.77% | 5.33 |
| 5+ | 26.70% | 3.75 |
|
Over 2.5 67.17%
Under 2.5 32.83%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
47.18%
Draw
23.37%
Away Win
29.45%
Over / Under 2.5
Over 2.5
67.17%
Under 2.5
32.83%
Both to score (BTTS)
Yes
66.9%
No
33.1%
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 | 12.51% 7.99 | 14.35% 6.97 | 73.14% 1.37 |
| -1.5 | 26.86% 3.72 | — | 73.14% 1.37 |
| -1.0 | 26.86% 3.72 | 20.77% 4.82 | 52.37% 1.91 |
| -0.5 | 47.63% 2.1 | — | 52.37% 1.91 |
| 0 (PK) | 47.63% 2.1 | 21.95% 4.56 | 30.42% 3.29 |
| +0.5 | 69.58% 1.44 | — | 30.42% 3.29 |
| +1.0 | 69.58% 1.44 | 16.27% 6.15 | 14.15% 7.07 |
| +1.5 | 85.85% 1.16 | — | 14.15% 7.07 |
| +2.0 | 85.85% 1.16 | 8.81% 11.35 | 5.34% 18.73 |
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.