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
50.19%
Fair Odds
1.99
Draw
24.42%
Fair Odds
4.1
Away Win
25.39%
Fair Odds
3.94
Most Likely Score
1 - 1
Probability 10.56%
Fair Odds 9.47
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 | 1.99 | — | |
| Draw | 4.1 | — | |
| Away Win | 3.94 | — |
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 | 10.56% | 9.47 |
| 2 | 2-1 | 9.61% | 10.41 |
| 3 | 1-0 | 8.45% | 11.84 |
| 4 | 2-0 | 7.69% | 13.01 |
| 5 | 1-2 | 6.6% | 15.15 |
| 6 | 2-2 | 6.01% | 16.65 |
| 7 | 3-1 | 5.83% | 17.15 |
| 8 | 0-1 | 5.8% | 17.23 |
| 9 | 3-0 | 4.66% | 21.44 |
| 10 | 0-0 | 4.64% | 21.54 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.64%
21.54
|
5.8%
17.23
|
3.63%
27.57
|
1.51%
66.18
|
0.47%
211.77
|
0.12%
846.74
|
| 1 |
8.45%
11.84
|
10.56%
9.47
|
6.6%
15.15
|
2.75%
36.36
|
0.86%
116.36
|
0.21%
465.33
|
| 2 |
7.69%
13.01
|
9.61%
10.41
|
6.01%
16.65
|
2.5%
39.96
|
0.78%
127.86
|
0.2%
511.51
|
| 3 |
4.66%
21.44
|
5.83%
17.15
|
3.64%
27.44
|
1.52%
65.86
|
0.47%
210.75
|
0.12%
843.17
|
| 4 |
2.12%
47.12
|
2.65%
37.7
|
1.66%
60.31
|
0.69%
144.76
|
0.22%
463.18
|
0.05%
1851.85
|
| 5 |
0.77%
129.45
|
0.97%
103.56
|
0.6%
165.7
|
0.25%
397.61
|
0.08%
1272.26
|
0.02%
5102.04
|
Any other score (6+ goals either side)
1.27%
·
Fair:
78.6
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 83.8% | 16.2% |
| 1.5 | 54.31% | 45.69% |
| 2.5 | 27.47% | 72.53% |
| 3.5 | 11.19% | 88.81% |
| 4.5 | 3.79% | 96.21% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.35% | 28.65% |
| 1.5 | 35.54% | 64.46% |
| 2.5 | 13.15% | 86.85% |
| 3.5 | 3.83% | 96.17% |
| 4.5 | 0.91% | 99.09% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.64% | 21.54 |
| 1 | 14.25% | 7.02 |
| 2 | 21.88% | 4.57 |
| 3 | 22.39% | 4.47 |
| 4 | 17.18% | 5.82 |
| 5+ | 19.66% | 5.09 |
|
Over 2.5 59.23%
Under 2.5 40.77%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
50.19%
Draw
24.42%
Away Win
25.39%
Over / Under 2.5
Over 2.5
59.23%
Under 2.5
40.77%
Both to score (BTTS)
Yes
59.79%
No
40.21%
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 | 12.84% 7.79 | 15.45% 6.47 | 71.71% 1.39 |
| -1.5 | 28.29% 3.53 | — | 71.71% 1.39 |
| -1.0 | 28.29% 3.53 | 22.48% 4.45 | 49.23% 2.03 |
| -0.5 | 50.77% 1.97 | — | 49.23% 2.03 |
| 0 (PK) | 50.77% 1.97 | 22.96% 4.35 | 26.27% 3.81 |
| +0.5 | 73.73% 1.36 | — | 26.27% 3.81 |
| +1.0 | 73.73% 1.36 | 15.44% 6.48 | 10.83% 9.24 |
| +1.5 | 89.17% 1.12 | — | 10.83% 9.24 |
| +2.0 | 89.17% 1.12 | 7.29% 13.72 | 3.54% 28.27 |
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.