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
24.49%
Fair Odds
4.08
Draw
25.66%
Fair Odds
3.9
Away Win
49.85%
Fair Odds
2.01
Most Likely Score
1 - 1
Probability 11.44%
Fair Odds 8.74
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 | 4.08 | — | |
| Draw | 3.9 | — | |
| Away Win | 2.01 | — |
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 | 11.44% | 8.74 |
| 2 | 0-1 | 10.22% | 9.79 |
| 3 | 1-2 | 9.61% | 10.4 |
| 4 | 0-2 | 8.58% | 11.65 |
| 5 | 1-0 | 6.81% | 14.68 |
| 6 | 2-1 | 6.41% | 15.61 |
| 7 | 0-0 | 6.08% | 16.44 |
| 8 | 1-3 | 5.38% | 18.58 |
| 9 | 2-2 | 5.38% | 18.58 |
| 10 | 0-3 | 4.81% | 20.81 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.08%
16.44
|
10.22%
9.79
|
8.58%
11.65
|
4.81%
20.81
|
2.02%
49.54
|
0.68%
147.45
|
| 1 |
6.81%
14.68
|
11.44%
8.74
|
9.61%
10.4
|
5.38%
18.58
|
2.26%
44.24
|
0.76%
131.65
|
| 2 |
3.81%
26.22
|
6.41%
15.61
|
5.38%
18.58
|
3.01%
33.18
|
1.27%
79.0
|
0.43%
235.07
|
| 3 |
1.42%
70.23
|
2.39%
41.8
|
2.01%
49.77
|
1.13%
88.87
|
0.47%
211.6
|
0.16%
629.72
|
| 4 |
0.4%
250.82
|
0.67%
149.3
|
0.56%
177.75
|
0.32%
317.36
|
0.13%
755.86
|
0.04%
2247.19
|
| 5 |
0.09%
1119.82
|
0.15%
666.67
|
0.13%
793.65
|
0.07%
1416.43
|
0.03%
3378.38
|
0.01%
10000.0
|
Any other score (6+ goals either side)
0.86%
·
Fair:
115.9
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 67.37% | 32.63% |
| 1.5 | 30.83% | 69.17% |
| 2.5 | 10.36% | 89.64% |
| 3.5 | 2.72% | 97.28% |
| 4.5 | 0.59% | 99.41% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.36% | 18.64% |
| 1.5 | 50.05% | 49.95% |
| 2.5 | 23.75% | 76.25% |
| 3.5 | 9.02% | 90.98% |
| 4.5 | 2.84% | 97.16% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.08% | 16.44 |
| 1 | 17.03% | 5.87 |
| 2 | 23.84% | 4.20 |
| 3 | 22.25% | 4.49 |
| 4 | 15.57% | 6.42 |
| 5+ | 15.23% | 6.57 |
|
Over 2.5 53.05%
Under 2.5 46.95%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
24.49%
Draw
25.66%
Away Win
49.85%
Over / Under 2.5
Over 2.5
53.05%
Under 2.5
46.95%
Both to score (BTTS)
Yes
54.82%
No
45.18%
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 | 2.96% 33.84 | 6.85% 14.61 | 90.2% 1.11 |
| -1.5 | 9.8% 10.2 | — | 90.2% 1.11 |
| -1.0 | 9.8% 10.2 | 15.57% 6.42 | 74.62% 1.34 |
| -0.5 | 25.37% 3.94 | — | 74.62% 1.34 |
| 0 (PK) | 25.37% 3.94 | 24.17% 4.14 | 50.45% 1.98 |
| +0.5 | 49.55% 2.02 | — | 50.45% 1.98 |
| +1.0 | 49.55% 2.02 | 23.36% 4.28 | 27.09% 3.69 |
| +1.5 | 72.91% 1.37 | — | 27.09% 3.69 |
| +2.0 | 72.91% 1.37 | 15.4% 6.49 | 11.69% 8.56 |
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.