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
59.43%
Fair Odds
1.68
Draw
28.13%
Fair Odds
3.55
Away Win
12.44%
Fair Odds
8.04
Most Likely Score
1 - 0
Probability 20.42%
Fair Odds 4.9
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 | 1.68 | — | |
| Draw | 3.55 | — | |
| Away Win | 8.04 | — |
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 | 20.42% | 4.9 |
| 2 | 2-0 | 14.81% | 6.75 |
| 3 | 0-0 | 14.09% | 7.1 |
| 4 | 1-1 | 10.42% | 9.6 |
| 5 | 2-1 | 7.55% | 13.24 |
| 6 | 0-1 | 7.18% | 13.92 |
| 7 | 3-0 | 7.16% | 13.97 |
| 8 | 3-1 | 3.65% | 27.4 |
| 9 | 1-2 | 2.66% | 37.65 |
| 10 | 4-0 | 2.59% | 38.54 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
14.09%
7.1
|
7.18%
13.92
|
1.83%
54.59
|
0.31%
321.13
|
0.04%
2518.89
|
0.0%
25000.0
|
| 1 |
20.42%
4.9
|
10.42%
9.6
|
2.66%
37.65
|
0.45%
221.43
|
0.06%
1736.11
|
0.01%
16949.15
|
| 2 |
14.81%
6.75
|
7.55%
13.24
|
1.93%
51.93
|
0.33%
305.44
|
0.04%
2398.08
|
0.0%
23255.81
|
| 3 |
7.16%
13.97
|
3.65%
27.4
|
0.93%
107.43
|
0.16%
632.11
|
0.02%
4950.5
|
0.0%
47619.05
|
| 4 |
2.59%
38.54
|
1.32%
75.57
|
0.34%
296.38
|
0.06%
1742.16
|
0.01%
13698.63
|
0.0%
142857.14
|
| 5 |
0.75%
132.91
|
0.38%
260.62
|
0.1%
1022.49
|
0.02%
6024.1
|
0.0%
47619.05
|
0.0%
500000.0
|
Any other score (6+ goals either side)
0.38%
·
Fair:
262.74
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.54% | 23.46% |
| 1.5 | 42.53% | 57.47% |
| 2.5 | 17.87% | 82.13% |
| 3.5 | 5.95% | 94.05% |
| 4.5 | 1.63% | 98.37% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 39.95% | 60.05% |
| 1.5 | 9.33% | 90.67% |
| 2.5 | 1.52% | 98.48% |
| 3.5 | 0.19% | 99.81% |
| 4.5 | 0.02% | 99.98% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 14.09% | 7.10 |
| 1 | 27.61% | 3.62 |
| 2 | 27.06% | 3.70 |
| 3 | 17.68% | 5.66 |
| 4 | 8.66% | 11.55 |
| 5+ | 4.91% | 20.36 |
|
Over 2.5 31.25%
Under 2.5 68.75%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
59.43%
Draw
28.13%
Away Win
12.44%
Over / Under 2.5
Over 2.5
31.25%
Under 2.5
68.75%
Both to score (BTTS)
Yes
30.58%
No
69.42%
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 | 12.69% 7.88 | 18.81% 5.32 | 68.5% 1.46 |
| -1.5 | 31.5% 3.17 | — | 68.5% 1.46 |
| -1.0 | 31.5% 3.17 | 28.97% 3.45 | 39.53% 2.53 |
| -0.5 | 60.47% 1.65 | — | 39.53% 2.53 |
| 0 (PK) | 60.47% 1.65 | 26.59% 3.76 | 12.94% 7.73 |
| +0.5 | 87.06% 1.15 | — | 12.94% 7.73 |
| +1.0 | 87.06% 1.15 | 10.19% 9.82 | 2.75% 36.34 |
| +1.5 | 97.25% 1.03 | — | 2.75% 36.34 |
| +2.0 | 97.25% 1.03 | 2.33% 42.97 | 0.42% 235.64 |
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.