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
38.49%
Fair Odds
2.6
Draw
27.38%
Fair Odds
3.65
Away Win
34.13%
Fair Odds
2.93
Most Likely Score
1 - 1
Probability 12.27%
Fair Odds 8.15
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 | 2.6 | — | |
| Draw | 3.65 | — | |
| Away Win | 2.93 | — |
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 | 12.27% | 8.15 |
| 2 | 1-0 | 9.37% | 10.68 |
| 3 | 0-1 | 8.89% | 11.25 |
| 4 | 2-1 | 8.47% | 11.81 |
| 5 | 1-2 | 8.04% | 12.44 |
| 6 | 0-0 | 6.79% | 14.73 |
| 7 | 2-0 | 6.46% | 15.47 |
| 8 | 0-2 | 5.82% | 17.17 |
| 9 | 2-2 | 5.55% | 18.03 |
| 10 | 3-1 | 3.9% | 25.67 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.79%
14.73
|
8.89%
11.25
|
5.82%
17.17
|
2.54%
39.32
|
0.83%
120.05
|
0.22%
458.3
|
| 1 |
9.37%
10.68
|
12.27%
8.15
|
8.04%
12.44
|
3.51%
28.49
|
1.15%
86.99
|
0.3%
332.01
|
| 2 |
6.46%
15.47
|
8.47%
11.81
|
5.55%
18.03
|
2.42%
41.29
|
0.79%
126.09
|
0.21%
481.23
|
| 3 |
2.97%
33.63
|
3.9%
25.67
|
2.55%
39.2
|
1.11%
89.77
|
0.36%
274.12
|
0.1%
1046.03
|
| 4 |
1.03%
97.48
|
1.34%
74.42
|
0.88%
113.61
|
0.38%
260.21
|
0.13%
794.28
|
0.03%
3030.3
|
| 5 |
0.28%
353.23
|
0.37%
269.61
|
0.24%
411.69
|
0.11%
942.51
|
0.03%
2881.84
|
0.01%
10989.01
|
Any other score (6+ goals either side)
0.53%
·
Fair:
188.86
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 74.84% | 25.16% |
| 1.5 | 40.12% | 59.88% |
| 2.5 | 16.17% | 83.83% |
| 3.5 | 5.15% | 94.85% |
| 4.5 | 1.35% | 98.65% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 73.02% | 26.98% |
| 1.5 | 37.67% | 62.33% |
| 2.5 | 14.52% | 85.48% |
| 3.5 | 4.41% | 95.59% |
| 4.5 | 1.1% | 98.9% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.79% | 14.73 |
| 1 | 18.26% | 5.48 |
| 2 | 24.56% | 4.07 |
| 3 | 22.02% | 4.54 |
| 4 | 14.81% | 6.75 |
| 5+ | 13.56% | 7.37 |
|
Over 2.5 50.39%
Under 2.5 49.61%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
38.49%
Draw
27.38%
Away Win
34.13%
Over / Under 2.5
Over 2.5
50.39%
Under 2.5
49.61%
Both to score (BTTS)
Yes
54.65%
No
45.35%
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 | 6.53% 15.32 | 11.35% 8.81 | 82.12% 1.22 |
| -1.5 | 17.88% 5.59 | — | 82.12% 1.22 |
| -1.0 | 17.88% 5.59 | 20.81% 4.81 | 61.31% 1.63 |
| -0.5 | 38.69% 2.58 | — | 61.31% 1.63 |
| 0 (PK) | 38.69% 2.58 | 25.86% 3.87 | 35.46% 2.82 |
| +0.5 | 64.54% 1.55 | — | 35.46% 2.82 |
| +1.0 | 64.54% 1.55 | 19.75% 5.06 | 15.71% 6.37 |
| +1.5 | 84.29% 1.19 | — | 15.71% 6.37 |
| +2.0 | 84.29% 1.19 | 10.23% 9.77 | 5.47% 18.27 |
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.