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
48.98%
Fair Odds
2.04
Draw
23.68%
Fair Odds
4.22
Away Win
27.34%
Fair Odds
3.66
Most Likely Score
1 - 1
Probability 9.76%
Fair Odds 10.24
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 | 2.04 | — | |
| Draw | 4.22 | — | |
| Away Win | 3.66 | — |
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 | 9.76% | 10.24 |
| 2 | 2-1 | 9.33% | 10.72 |
| 3 | 1-0 | 6.97% | 14.34 |
| 4 | 1-2 | 6.84% | 14.63 |
| 5 | 2-0 | 6.66% | 15.01 |
| 6 | 2-2 | 6.53% | 15.32 |
| 7 | 3-1 | 5.94% | 16.84 |
| 8 | 0-1 | 5.11% | 19.56 |
| 9 | 3-0 | 4.24% | 23.58 |
| 10 | 3-2 | 4.16% | 24.06 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.65%
27.39
|
5.11%
19.56
|
3.58%
27.94
|
1.67%
59.88
|
0.58%
171.09
|
0.16%
610.87
|
| 1 |
6.97%
14.34
|
9.76%
10.24
|
6.84%
14.63
|
3.19%
31.35
|
1.12%
89.57
|
0.31%
319.9
|
| 2 |
6.66%
15.01
|
9.33%
10.72
|
6.53%
15.32
|
3.05%
32.83
|
1.07%
93.79
|
0.3%
335.01
|
| 3 |
4.24%
23.58
|
5.94%
16.84
|
4.16%
24.06
|
1.94%
51.56
|
0.68%
147.32
|
0.19%
526.04
|
| 4 |
2.02%
49.39
|
2.83%
35.27
|
1.98%
50.39
|
0.93%
107.98
|
0.32%
308.55
|
0.09%
1101.32
|
| 5 |
0.77%
129.28
|
1.08%
92.34
|
0.76%
131.91
|
0.35%
282.65
|
0.12%
807.75
|
0.03%
2881.84
|
Any other score (6+ goals either side)
1.67%
·
Fair:
59.95
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.19% | 14.81% |
| 1.5 | 56.91% | 43.09% |
| 2.5 | 29.9% | 70.1% |
| 3.5 | 12.7% | 87.3% |
| 4.5 | 4.49% | 95.51% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 75.34% | 24.66% |
| 1.5 | 40.82% | 59.18% |
| 2.5 | 16.65% | 83.35% |
| 3.5 | 5.37% | 94.63% |
| 4.5 | 1.43% | 98.57% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.65% | 27.39 |
| 1 | 12.09% | 8.27 |
| 2 | 20.00% | 5.00 |
| 3 | 22.07% | 4.53 |
| 4 | 18.26% | 5.48 |
| 5+ | 23.92% | 4.18 |
|
Over 2.5 64.26%
Under 2.5 35.74%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
48.98%
Draw
23.68%
Away Win
27.34%
Over / Under 2.5
Over 2.5
64.26%
Under 2.5
35.74%
Both to score (BTTS)
Yes
64.18%
No
35.82%
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 | 13.01% 7.69 | 14.98% 6.68 | 72.01% 1.39 |
| -1.5 | 27.99% 3.57 | — | 72.01% 1.39 |
| -1.0 | 27.99% 3.57 | 21.52% 4.65 | 50.49% 1.98 |
| -0.5 | 49.51% 2.02 | — | 50.49% 1.98 |
| 0 (PK) | 49.51% 2.02 | 22.24% 4.5 | 28.25% 3.54 |
| +0.5 | 71.75% 1.39 | — | 28.25% 3.54 |
| +1.0 | 71.75% 1.39 | 15.77% 6.34 | 12.48% 8.01 |
| +1.5 | 87.52% 1.14 | — | 12.48% 8.01 |
| +2.0 | 87.52% 1.14 | 8.05% 12.43 | 4.43% 22.57 |
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.