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
15.29%
Fair Odds
6.54
Draw
31.06%
Fair Odds
3.22
Away Win
53.65%
Fair Odds
1.86
Most Likely Score
0 - 1
Probability 20.53%
Fair Odds 4.87
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 | 6.54 | — | |
| Draw | 3.22 | — | |
| Away Win | 1.86 | — |
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 | 0-1 | 20.53% | 4.87 |
| 2 | 0-0 | 16.04% | 6.23 |
| 3 | 0-2 | 13.14% | 7.61 |
| 4 | 1-1 | 11.29% | 8.85 |
| 5 | 1-0 | 8.82% | 11.33 |
| 6 | 1-2 | 7.23% | 13.84 |
| 7 | 0-3 | 5.61% | 17.84 |
| 8 | 2-1 | 3.11% | 32.2 |
| 9 | 1-3 | 3.08% | 32.43 |
| 10 | 2-0 | 2.43% | 41.22 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
16.04%
6.23
|
20.53%
4.87
|
13.14%
7.61
|
5.61%
17.84
|
1.79%
55.74
|
0.46%
217.72
|
| 1 |
8.82%
11.33
|
11.29%
8.85
|
7.23%
13.84
|
3.08%
32.43
|
0.99%
101.34
|
0.25%
395.88
|
| 2 |
2.43%
41.22
|
3.11%
32.2
|
1.99%
50.31
|
0.85%
117.92
|
0.27%
368.46
|
0.07%
1438.85
|
| 3 |
0.44%
224.82
|
0.57%
175.62
|
0.36%
274.42
|
0.16%
643.09
|
0.05%
2008.03
|
0.01%
7874.02
|
| 4 |
0.06%
1633.99
|
0.08%
1277.14
|
0.05%
1996.01
|
0.02%
4672.9
|
0.01%
14705.88
|
0.0%
55555.56
|
| 5 |
0.01%
14925.37
|
0.01%
11627.91
|
0.01%
18181.82
|
0.0%
41666.67
|
0.0%
125000.0
|
0.0%
500000.0
|
Any other score (6+ goals either side)
0.21%
·
Fair:
478.93
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 42.31% | 57.69% |
| 1.5 | 10.57% | 89.43% |
| 2.5 | 1.85% | 98.15% |
| 3.5 | 0.25% | 99.75% |
| 4.5 | 0.03% | 99.97% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 72.2% | 27.8% |
| 1.5 | 36.61% | 63.39% |
| 2.5 | 13.83% | 86.17% |
| 3.5 | 4.11% | 95.89% |
| 4.5 | 1.0% | 99.0% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 16.04% | 6.23 |
| 1 | 29.36% | 3.41 |
| 2 | 26.86% | 3.72 |
| 3 | 16.38% | 6.10 |
| 4 | 7.50% | 13.34 |
| 5+ | 3.86% | 25.90 |
|
Over 2.5 27.74%
Under 2.5 72.26%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
15.29%
Draw
31.06%
Away Win
53.65%
Over / Under 2.5
Over 2.5
27.74%
Under 2.5
72.26%
Both to score (BTTS)
Yes
30.54%
No
69.46%
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 | 0.61% 164.63 | 3.05% 32.81 | 96.34% 1.04 |
| -1.5 | 3.66% 27.36 | — | 96.34% 1.04 |
| -1.0 | 3.66% 27.36 | 12.31% 8.12 | 84.03% 1.19 |
| -0.5 | 15.97% 6.26 | — | 84.03% 1.19 |
| 0 (PK) | 15.97% 6.26 | 29.48% 3.39 | 54.54% 1.83 |
| +0.5 | 45.46% 2.2 | — | 54.54% 1.83 |
| +1.0 | 45.46% 2.2 | 28.66% 3.49 | 25.88% 3.86 |
| +1.5 | 74.12% 1.35 | — | 25.88% 3.86 |
| +2.0 | 74.12% 1.35 | 16.51% 6.06 | 9.38% 10.67 |
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.