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
41.75%
Fair Odds
2.39
Draw
27.61%
Fair Odds
3.62
Away Win
30.63%
Fair Odds
3.26
Most Likely Score
1 - 1
Probability 12.41%
Fair Odds 8.06
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 | 2.39 | — | |
| Draw | 3.62 | — | |
| Away Win | 3.26 | — |
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 | 12.41% | 8.06 |
| 2 | 1-0 | 10.34% | 9.67 |
| 3 | 2-1 | 8.81% | 11.35 |
| 4 | 0-1 | 8.74% | 11.45 |
| 5 | 1-2 | 7.44% | 13.43 |
| 6 | 2-0 | 7.34% | 13.62 |
| 7 | 0-0 | 7.28% | 13.74 |
| 8 | 2-2 | 5.28% | 18.92 |
| 9 | 0-2 | 5.24% | 19.08 |
| 10 | 3-1 | 4.17% | 23.99 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
7.28%
13.74
|
8.74%
11.45
|
5.24%
19.08
|
2.1%
47.69
|
0.63%
158.98
|
0.15%
662.25
|
| 1 |
10.34%
9.67
|
12.41%
8.06
|
7.44%
13.43
|
2.98%
33.59
|
0.89%
111.96
|
0.21%
466.42
|
| 2 |
7.34%
13.62
|
8.81%
11.35
|
5.28%
18.92
|
2.11%
47.31
|
0.63%
157.68
|
0.15%
657.03
|
| 3 |
3.47%
28.78
|
4.17%
23.99
|
2.5%
39.98
|
1.0%
99.94
|
0.3%
333.11
|
0.07%
1388.89
|
| 4 |
1.23%
81.08
|
1.48%
67.57
|
0.89%
112.61
|
0.36%
281.53
|
0.11%
938.09
|
0.03%
3906.25
|
| 5 |
0.35%
285.47
|
0.42%
237.93
|
0.25%
396.51
|
0.1%
991.08
|
0.03%
3300.33
|
0.01%
13698.63
|
Any other score (6+ goals either side)
0.49%
·
Fair:
203.21
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 75.83% | 24.17% |
| 1.5 | 41.51% | 58.49% |
| 2.5 | 17.14% | 82.86% |
| 3.5 | 5.6% | 94.4% |
| 4.5 | 1.51% | 98.49% |
Away 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% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 7.28% | 13.74 |
| 1 | 19.07% | 5.24 |
| 2 | 24.99% | 4.00 |
| 3 | 21.82% | 4.58 |
| 4 | 14.29% | 7.00 |
| 5+ | 12.54% | 7.97 |
|
Over 2.5 48.66%
Under 2.5 51.34%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
41.75%
Draw
27.61%
Away Win
30.63%
Over / Under 2.5
Over 2.5
48.66%
Under 2.5
51.34%
Both to score (BTTS)
Yes
52.99%
No
47.01%
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 | 7.54% 13.26 | 12.51% 8.0 | 79.95% 1.25 |
| -1.5 | 20.05% 4.99 | — | 79.95% 1.25 |
| -1.0 | 20.05% 4.99 | 22.03% 4.54 | 57.92% 1.73 |
| -0.5 | 42.08% 2.38 | — | 57.92% 1.73 |
| 0 (PK) | 42.08% 2.38 | 26.09% 3.83 | 31.83% 3.14 |
| +0.5 | 68.17% 1.47 | — | 31.83% 3.14 |
| +1.0 | 68.17% 1.47 | 18.62% 5.37 | 13.21% 7.57 |
| +1.5 | 86.79% 1.15 | — | 13.21% 7.57 |
| +2.0 | 86.79% 1.15 | 8.93% 11.2 | 4.28% 23.37 |
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.