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
28.0%
Fair Odds
3.57
Draw
25.99%
Fair Odds
3.85
Away Win
46.01%
Fair Odds
2.17
Most Likely Score
1 - 1
Probability 11.53%
Fair Odds 8.68
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 | 3.57 | — | |
| Draw | 3.85 | — | |
| Away Win | 2.17 | — |
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 | 11.53% | 8.68 |
| 2 | 0-1 | 9.37% | 10.67 |
| 3 | 1-2 | 9.34% | 10.71 |
| 4 | 0-2 | 7.59% | 13.17 |
| 5 | 1-0 | 7.11% | 14.06 |
| 6 | 2-1 | 7.09% | 14.11 |
| 7 | 0-0 | 5.78% | 17.29 |
| 8 | 2-2 | 5.74% | 17.42 |
| 9 | 1-3 | 5.04% | 19.84 |
| 10 | 2-0 | 4.38% | 22.85 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.78%
17.29
|
9.37%
10.67
|
7.59%
13.17
|
4.1%
24.4
|
1.66%
60.24
|
0.54%
185.94
|
| 1 |
7.11%
14.06
|
11.53%
8.68
|
9.34%
10.71
|
5.04%
19.84
|
2.04%
48.98
|
0.66%
151.17
|
| 2 |
4.38%
22.85
|
7.09%
14.11
|
5.74%
17.42
|
3.1%
32.25
|
1.26%
79.64
|
0.41%
245.76
|
| 3 |
1.79%
55.74
|
2.91%
34.41
|
2.35%
42.48
|
1.27%
78.67
|
0.51%
194.25
|
0.17%
599.52
|
| 4 |
0.55%
181.26
|
0.89%
111.89
|
0.72%
138.14
|
0.39%
255.82
|
0.16%
631.71
|
0.05%
1949.32
|
| 5 |
0.14%
736.92
|
0.22%
454.96
|
0.18%
561.48
|
0.1%
1039.5
|
0.04%
2570.69
|
0.01%
7936.51
|
Any other score (6+ goals either side)
0.81%
·
Fair:
123.64
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 70.77% | 29.23% |
| 1.5 | 34.82% | 65.18% |
| 2.5 | 12.71% | 87.29% |
| 3.5 | 3.64% | 96.36% |
| 4.5 | 0.86% | 99.14% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.21% | 19.79% |
| 1.5 | 48.15% | 51.85% |
| 2.5 | 22.18% | 77.82% |
| 3.5 | 8.16% | 91.84% |
| 4.5 | 2.48% | 97.52% |
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
28.00%
Draw
25.99%
Away Win
46.01%
Over / Under 2.5
Over 2.5
54.24%
Under 2.5
45.76%
Both to score (BTTS)
Yes
56.77%
No
43.23%
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 | 3.93% 25.44 | 8.11% 12.33 | 87.96% 1.14 |
| -1.5 | 12.04% 8.3 | — | 87.96% 1.14 |
| -1.0 | 12.04% 8.3 | 16.99% 5.89 | 70.97% 1.41 |
| -0.5 | 29.03% 3.44 | — | 70.97% 1.41 |
| 0 (PK) | 29.03% 3.44 | 24.5% 4.08 | 46.47% 2.15 |
| +0.5 | 53.53% 1.87 | — | 46.47% 2.15 |
| +1.0 | 53.53% 1.87 | 22.38% 4.47 | 24.1% 4.15 |
| +1.5 | 75.9% 1.32 | — | 24.1% 4.15 |
| +2.0 | 75.9% 1.32 | 14.07% 7.11 | 10.03% 9.97 |
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.