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
46.19%
Fair Odds
2.16
Draw
25.15%
Fair Odds
3.98
Away Win
28.66%
Fair Odds
3.49
Most Likely Score
1 - 1
Probability 10.91%
Fair Odds 9.17
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 | 2.16 | — | |
| Draw | 3.98 | — | |
| Away Win | 3.49 | — |
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 | 10.91% | 9.17 |
| 2 | 2-1 | 9.32% | 10.72 |
| 3 | 1-0 | 8.26% | 12.1 |
| 4 | 1-2 | 7.2% | 13.89 |
| 5 | 2-0 | 7.06% | 14.16 |
| 6 | 0-1 | 6.38% | 15.68 |
| 7 | 2-2 | 6.15% | 16.25 |
| 8 | 3-1 | 5.32% | 18.81 |
| 9 | 0-0 | 4.83% | 20.7 |
| 10 | 0-2 | 4.21% | 23.76 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.83%
20.7
|
6.38%
15.68
|
4.21%
23.76
|
1.85%
53.99
|
0.61%
163.61
|
0.16%
619.58
|
| 1 |
8.26%
12.1
|
10.91%
9.17
|
7.2%
13.89
|
3.17%
31.57
|
1.05%
95.68
|
0.28%
362.45
|
| 2 |
7.06%
14.16
|
9.32%
10.72
|
6.15%
16.25
|
2.71%
36.93
|
0.89%
111.91
|
0.24%
423.91
|
| 3 |
4.03%
24.84
|
5.32%
18.81
|
3.51%
28.51
|
1.54%
64.79
|
0.51%
196.35
|
0.13%
743.49
|
| 4 |
1.72%
58.1
|
2.27%
44.01
|
1.5%
66.68
|
0.66%
151.56
|
0.22%
459.35
|
0.06%
1739.13
|
| 5 |
0.59%
169.87
|
0.78%
128.68
|
0.51%
194.97
|
0.23%
443.07
|
0.07%
1342.28
|
0.02%
5076.14
|
Any other score (6+ goals either side)
1.06%
·
Fair:
94.37
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.91% | 18.09% |
| 1.5 | 50.99% | 49.01% |
| 2.5 | 24.54% | 75.46% |
| 3.5 | 9.47% | 90.53% |
| 4.5 | 3.03% | 96.97% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 73.29% | 26.71% |
| 1.5 | 38.02% | 61.98% |
| 2.5 | 14.75% | 85.25% |
| 3.5 | 4.51% | 95.49% |
| 4.5 | 1.13% | 98.87% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.83% | 20.70 |
| 1 | 14.64% | 6.83 |
| 2 | 22.18% | 4.51 |
| 3 | 22.40% | 4.46 |
| 4 | 16.97% | 5.89 |
| 5+ | 18.98% | 5.27 |
|
Over 2.5 58.35%
Under 2.5 41.65%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
46.19%
Draw
25.15%
Away Win
28.66%
Over / Under 2.5
Over 2.5
58.35%
Under 2.5
41.65%
Both to score (BTTS)
Yes
60.03%
No
39.97%
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 | 10.69% 9.35 | 14.13% 7.08 | 75.18% 1.33 |
| -1.5 | 24.82% 4.03 | — | 75.18% 1.33 |
| -1.0 | 24.82% 4.03 | 21.83% 4.58 | 53.35% 1.87 |
| -0.5 | 46.65% 2.14 | — | 53.35% 1.87 |
| 0 (PK) | 46.65% 2.14 | 23.67% 4.22 | 29.67% 3.37 |
| +0.5 | 70.33% 1.42 | — | 29.67% 3.37 |
| +1.0 | 70.33% 1.42 | 16.85% 5.93 | 12.82% 7.8 |
| +1.5 | 87.18% 1.15 | — | 12.82% 7.8 |
| +2.0 | 87.18% 1.15 | 8.42% 11.88 | 4.4% 22.72 |
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.