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
44.65%
Fair Odds
2.24
Draw
27.85%
Fair Odds
3.59
Away Win
27.5%
Fair Odds
3.64
Most Likely Score
1 - 1
Probability 12.5%
Fair Odds 8.0
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 | 2.24 | — | |
| Draw | 3.59 | — | |
| Away Win | 3.64 | — |
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 | 12.5% | 8.0 |
| 2 | 1-0 | 11.47% | 8.72 |
| 3 | 2-1 | 9.0% | 11.11 |
| 4 | 0-1 | 8.68% | 11.52 |
| 5 | 2-0 | 8.26% | 12.11 |
| 6 | 0-0 | 7.97% | 12.55 |
| 7 | 1-2 | 6.81% | 14.68 |
| 8 | 2-2 | 4.91% | 20.38 |
| 9 | 0-2 | 4.73% | 21.13 |
| 10 | 3-1 | 4.32% | 23.14 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
7.97%
12.55
|
8.68%
11.52
|
4.73%
21.13
|
1.72%
58.16
|
0.47%
213.45
|
0.1%
979.43
|
| 1 |
11.47%
8.72
|
12.5%
8.0
|
6.81%
14.68
|
2.48%
40.39
|
0.67%
148.21
|
0.15%
679.81
|
| 2 |
8.26%
12.11
|
9.0%
11.11
|
4.91%
20.38
|
1.78%
56.1
|
0.49%
205.85
|
0.11%
944.29
|
| 3 |
3.96%
25.23
|
4.32%
23.14
|
2.35%
42.46
|
0.86%
116.86
|
0.23%
428.82
|
0.05%
1968.5
|
| 4 |
1.43%
70.07
|
1.56%
64.28
|
0.85%
117.95
|
0.31%
324.68
|
0.08%
1191.9
|
0.02%
5464.48
|
| 5 |
0.41%
243.31
|
0.45%
223.21
|
0.24%
409.5
|
0.09%
1127.4
|
0.02%
4132.23
|
0.01%
18867.92
|
Any other score (6+ goals either side)
0.46%
·
Fair:
218.01
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.31% | 23.69% |
| 1.5 | 42.19% | 57.81% |
| 2.5 | 17.62% | 82.38% |
| 3.5 | 5.83% | 94.17% |
| 4.5 | 1.59% | 98.41% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 66.38% | 33.62% |
| 1.5 | 29.73% | 70.27% |
| 2.5 | 9.76% | 90.24% |
| 3.5 | 2.5% | 97.5% |
| 4.5 | 0.52% | 99.48% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 7.97% | 12.55 |
| 1 | 20.15% | 4.96 |
| 2 | 25.49% | 3.92 |
| 3 | 21.50% | 4.65 |
| 4 | 13.60% | 7.35 |
| 5+ | 11.29% | 8.86 |
|
Over 2.5 46.39%
Under 2.5 53.61%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
44.65%
Draw
27.85%
Away Win
27.50%
Over / Under 2.5
Over 2.5
46.39%
Under 2.5
53.61%
Both to score (BTTS)
Yes
50.65%
No
49.35%
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 | 8.41% 11.89 | 13.52% 7.39 | 78.07% 1.28 |
| -1.5 | 21.93% 4.56 | — | 78.07% 1.28 |
| -1.0 | 21.93% 4.56 | 23.16% 4.32 | 54.91% 1.82 |
| -0.5 | 45.09% 2.22 | — | 54.91% 1.82 |
| 0 (PK) | 45.09% 2.22 | 26.32% 3.8 | 28.59% 3.5 |
| +0.5 | 71.41% 1.4 | — | 28.59% 3.5 |
| +1.0 | 71.41% 1.4 | 17.53% 5.7 | 11.05% 9.05 |
| +1.5 | 88.95% 1.12 | — | 11.05% 9.05 |
| +2.0 | 88.95% 1.12 | 7.75% 12.91 | 3.31% 30.25 |
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.