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
48.34%
Fair Odds
2.07
Draw
26.71%
Fair Odds
3.74
Away Win
24.94%
Fair Odds
4.01
Most Likely Score
1 - 1
Probability 11.99%
Fair Odds 8.34
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 | 2.07 | — | |
| Draw | 3.74 | — | |
| Away Win | 4.01 | — |
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 | 11.99% | 8.34 |
| 2 | 1-0 | 11.2% | 8.93 |
| 3 | 2-1 | 9.41% | 10.63 |
| 4 | 2-0 | 8.79% | 11.37 |
| 5 | 0-1 | 7.64% | 13.1 |
| 6 | 0-0 | 7.14% | 14.01 |
| 7 | 1-2 | 6.41% | 15.59 |
| 8 | 2-2 | 5.03% | 19.86 |
| 9 | 3-1 | 4.92% | 20.3 |
| 10 | 3-0 | 4.6% | 21.73 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
7.14%
14.01
|
7.64%
13.1
|
4.09%
24.48
|
1.46%
68.63
|
0.39%
256.54
|
0.08%
1199.04
|
| 1 |
11.2%
8.93
|
11.99%
8.34
|
6.41%
15.59
|
2.29%
43.72
|
0.61%
163.43
|
0.13%
763.94
|
| 2 |
8.79%
11.37
|
9.41%
10.63
|
5.03%
19.86
|
1.8%
55.69
|
0.48%
208.2
|
0.1%
972.76
|
| 3 |
4.6%
21.73
|
4.92%
20.3
|
2.63%
37.95
|
0.94%
106.42
|
0.25%
397.77
|
0.05%
1858.74
|
| 4 |
1.81%
55.35
|
1.93%
51.73
|
1.03%
96.69
|
0.37%
271.08
|
0.1%
1013.17
|
0.02%
4739.34
|
| 5 |
0.57%
176.27
|
0.61%
164.74
|
0.32%
307.98
|
0.12%
863.56
|
0.03%
3225.81
|
0.01%
15151.52
|
Any other score (6+ goals either side)
0.64%
·
Fair:
157.21
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 79.2% | 20.8% |
| 1.5 | 46.53% | 53.47% |
| 2.5 | 20.89% | 79.11% |
| 3.5 | 7.47% | 92.53% |
| 4.5 | 2.21% | 97.79% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 65.7% | 34.3% |
| 1.5 | 29.0% | 71.0% |
| 2.5 | 9.36% | 90.64% |
| 3.5 | 2.36% | 97.64% |
| 4.5 | 0.48% | 99.52% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 7.14% | 14.01 |
| 1 | 18.84% | 5.31 |
| 2 | 24.87% | 4.02 |
| 3 | 21.88% | 4.57 |
| 4 | 14.44% | 6.92 |
| 5+ | 12.83% | 7.79 |
|
Over 2.5 49.16%
Under 2.5 50.84%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
48.34%
Draw
26.71%
Away Win
24.94%
Over / Under 2.5
Over 2.5
49.16%
Under 2.5
50.84%
Both to score (BTTS)
Yes
52.03%
No
47.97%
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 | 10.38% 9.63 | 14.88% 6.72 | 74.74% 1.34 |
| -1.5 | 25.26% 3.96 | — | 74.74% 1.34 |
| -1.0 | 25.26% 3.96 | 23.65% 4.23 | 51.09% 1.96 |
| -0.5 | 48.91% 2.04 | — | 51.09% 1.96 |
| 0 (PK) | 48.91% 2.04 | 25.2% 3.97 | 25.88% 3.86 |
| +0.5 | 74.12% 1.35 | — | 25.88% 3.86 |
| +1.0 | 74.12% 1.35 | 16.12% 6.2 | 9.76% 10.24 |
| +1.5 | 90.23% 1.11 | — | 9.76% 10.24 |
| +2.0 | 90.23% 1.11 | 6.91% 14.47 | 2.85% 35.03 |
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.