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
42.97%
Fair Odds
2.33
Draw
31.18%
Fair Odds
3.21
Away Win
25.84%
Fair Odds
3.87
Most Likely Score
1 - 0
Probability 14.99%
Fair Odds 6.67
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 | 2.33 | — | |
| Draw | 3.21 | — | |
| Away Win | 3.87 | — |
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 | 1-0 | 14.99% | 6.67 |
| 2 | 1-1 | 13.19% | 7.58 |
| 3 | 0-0 | 12.49% | 8.0 |
| 4 | 0-1 | 10.99% | 9.1 |
| 5 | 2-0 | 9.0% | 11.12 |
| 6 | 2-1 | 7.92% | 12.63 |
| 7 | 1-2 | 5.8% | 17.23 |
| 8 | 0-2 | 4.84% | 20.67 |
| 9 | 3-0 | 3.6% | 27.79 |
| 10 | 2-2 | 3.48% | 28.71 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
12.49%
8.0
|
10.99%
9.1
|
4.84%
20.67
|
1.42%
70.48
|
0.31%
320.31
|
0.05%
1821.49
|
| 1 |
14.99%
6.67
|
13.19%
7.58
|
5.8%
17.23
|
1.7%
58.73
|
0.37%
266.95
|
0.07%
1517.45
|
| 2 |
9.0%
11.12
|
7.92%
12.63
|
3.48%
28.71
|
1.02%
97.89
|
0.22%
444.84
|
0.04%
2525.25
|
| 3 |
3.6%
27.79
|
3.17%
31.58
|
1.39%
71.78
|
0.41%
244.68
|
0.09%
1112.35
|
0.02%
6329.11
|
| 4 |
1.08%
92.64
|
0.95%
105.27
|
0.42%
239.29
|
0.12%
815.66
|
0.03%
3703.7
|
0.0%
21276.6
|
| 5 |
0.26%
385.95
|
0.23%
438.6
|
0.1%
997.01
|
0.03%
3401.36
|
0.01%
15384.62
|
0.0%
90909.09
|
Any other score (6+ goals either side)
0.18%
·
Fair:
554.02
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 69.88% | 30.12% |
| 1.5 | 33.74% | 66.26% |
| 2.5 | 12.05% | 87.95% |
| 3.5 | 3.38% | 96.62% |
| 4.5 | 0.77% | 99.23% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 58.52% | 41.48% |
| 1.5 | 22.02% | 77.98% |
| 2.5 | 5.96% | 94.04% |
| 3.5 | 1.25% | 98.75% |
| 4.5 | 0.21% | 99.79% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 12.49% | 8.00 |
| 1 | 25.99% | 3.85 |
| 2 | 27.02% | 3.70 |
| 3 | 18.74% | 5.34 |
| 4 | 9.74% | 10.26 |
| 5+ | 6.02% | 16.62 |
|
Over 2.5 34.5%
Under 2.5 65.5%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
42.97%
Draw
31.18%
Away Win
25.84%
Over / Under 2.5
Over 2.5
34.5%
Under 2.5
65.5%
Both to score (BTTS)
Yes
40.9%
No
59.1%
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 | 6.36% 15.72 | 12.61% 7.93 | 81.03% 1.23 |
| -1.5 | 18.97% 5.27 | — | 81.03% 1.23 |
| -1.0 | 18.97% 5.27 | 24.43% 4.09 | 56.6% 1.77 |
| -0.5 | 43.4% 2.3 | — | 56.6% 1.77 |
| 0 (PK) | 43.4% 2.3 | 29.61% 3.38 | 26.99% 3.7 |
| +0.5 | 73.01% 1.37 | — | 26.99% 3.7 |
| +1.0 | 73.01% 1.37 | 17.92% 5.58 | 9.08% 11.02 |
| +1.5 | 90.92% 1.1 | — | 9.08% 11.02 |
| +2.0 | 90.92% 1.1 | 6.78% 14.75 | 2.3% 43.56 |
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.