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
43.72%
Fair Odds
2.29
Draw
26.33%
Fair Odds
3.8
Away Win
29.95%
Fair Odds
3.34
Most Likely Score
1 - 1
Probability 11.69%
Fair Odds 8.55
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 | 2.29 | — | |
| Draw | 3.8 | — | |
| Away Win | 3.34 | — |
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 | 11.69% | 8.55 |
| 2 | 1-0 | 9.21% | 10.86 |
| 3 | 2-1 | 9.12% | 10.97 |
| 4 | 0-1 | 7.49% | 13.34 |
| 5 | 1-2 | 7.42% | 13.47 |
| 6 | 2-0 | 7.18% | 13.93 |
| 7 | 0-0 | 5.9% | 16.95 |
| 8 | 2-2 | 5.79% | 17.27 |
| 9 | 0-2 | 4.76% | 21.01 |
| 10 | 3-1 | 4.74% | 21.09 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.9%
16.95
|
7.49%
13.34
|
4.76%
21.01
|
2.01%
49.64
|
0.64%
156.32
|
0.16%
615.38
|
| 1 |
9.21%
10.86
|
11.69%
8.55
|
7.42%
13.47
|
3.14%
31.82
|
1.0%
100.21
|
0.25%
394.48
|
| 2 |
7.18%
13.93
|
9.12%
10.97
|
5.79%
17.27
|
2.45%
40.79
|
0.78%
128.49
|
0.2%
505.82
|
| 3 |
3.73%
26.78
|
4.74%
21.09
|
3.01%
33.21
|
1.27%
78.44
|
0.4%
247.1
|
0.1%
972.76
|
| 4 |
1.46%
68.67
|
1.85%
54.07
|
1.17%
85.15
|
0.5%
201.13
|
0.16%
633.71
|
0.04%
2493.77
|
| 5 |
0.45%
220.12
|
0.58%
173.31
|
0.37%
272.93
|
0.16%
644.75
|
0.05%
2032.52
|
0.01%
8000.0
|
Any other score (6+ goals either side)
0.73%
·
Fair:
136.22
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.99% | 21.01% |
| 1.5 | 46.21% | 53.79% |
| 2.5 | 20.64% | 79.36% |
| 3.5 | 7.34% | 92.66% |
| 4.5 | 2.15% | 97.85% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.92% | 28.08% |
| 1.5 | 36.25% | 63.75% |
| 2.5 | 13.6% | 86.4% |
| 3.5 | 4.02% | 95.98% |
| 4.5 | 0.97% | 99.03% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.90% | 16.95 |
| 1 | 16.70% | 5.99 |
| 2 | 23.63% | 4.23 |
| 3 | 22.29% | 4.49 |
| 4 | 15.77% | 6.34 |
| 5+ | 15.70% | 6.37 |
|
Over 2.5 53.77%
Under 2.5 46.23%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
43.72%
Draw
26.33%
Away Win
29.95%
Over / Under 2.5
Over 2.5
53.77%
Under 2.5
46.23%
Both to score (BTTS)
Yes
56.8%
No
43.2%
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 | 8.96% 11.17 | 13.27% 7.54 | 77.78% 1.29 |
| -1.5 | 22.22% 4.5 | — | 77.78% 1.29 |
| -1.0 | 22.22% 4.5 | 21.89% 4.57 | 55.89% 1.79 |
| -0.5 | 44.11% 2.27 | — | 55.89% 1.79 |
| 0 (PK) | 44.11% 2.27 | 24.83% 4.03 | 31.06% 3.22 |
| +0.5 | 68.94% 1.45 | — | 31.06% 3.22 |
| +1.0 | 68.94% 1.45 | 17.82% 5.61 | 13.24% 7.55 |
| +1.5 | 86.76% 1.15 | — | 13.24% 7.55 |
| +2.0 | 86.76% 1.15 | 8.79% 11.37 | 4.45% 22.46 |
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.