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
31.64%
Fair Odds
3.16
Draw
27.44%
Fair Odds
3.64
Away Win
40.92%
Fair Odds
2.44
Most Likely Score
1 - 1
Probability 12.32%
Fair Odds 8.12
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 | 3.16 | — | |
| Draw | 3.64 | — | |
| Away Win | 2.44 | — |
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 | 12.32% | 8.12 |
| 2 | 0-1 | 9.93% | 10.07 |
| 3 | 1-2 | 8.74% | 11.44 |
| 4 | 1-0 | 8.67% | 11.53 |
| 5 | 2-1 | 7.64% | 13.1 |
| 6 | 0-2 | 7.05% | 14.18 |
| 7 | 0-0 | 6.99% | 14.3 |
| 8 | 2-2 | 5.42% | 18.44 |
| 9 | 2-0 | 5.38% | 18.6 |
| 10 | 1-3 | 4.14% | 24.16 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.99%
14.3
|
9.93%
10.07
|
7.05%
14.18
|
3.34%
29.96
|
1.19%
84.39
|
0.34%
297.18
|
| 1 |
8.67%
11.53
|
12.32%
8.12
|
8.74%
11.44
|
4.14%
24.16
|
1.47%
68.05
|
0.42%
239.64
|
| 2 |
5.38%
18.6
|
7.64%
13.1
|
5.42%
18.44
|
2.57%
38.97
|
0.91%
109.77
|
0.26%
386.55
|
| 3 |
2.22%
44.99
|
3.16%
31.68
|
2.24%
44.62
|
1.06%
94.28
|
0.38%
265.53
|
0.11%
935.45
|
| 4 |
0.69%
145.12
|
0.98%
102.2
|
0.69%
143.95
|
0.33%
304.14
|
0.12%
856.9
|
0.03%
3012.05
|
| 5 |
0.17%
585.14
|
0.24%
412.03
|
0.17%
580.38
|
0.08%
1226.99
|
0.03%
3460.21
|
0.01%
12195.12
|
Any other score (6+ goals either side)
0.52%
·
Fair:
192.75
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.06% | 28.94% |
| 1.5 | 35.18% | 64.82% |
| 2.5 | 12.93% | 87.07% |
| 3.5 | 3.73% | 96.27% |
| 4.5 | 0.88% | 99.12% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 75.83% | 24.17% |
| 1.5 | 41.51% | 58.49% |
| 2.5 | 17.14% | 82.86% |
| 3.5 | 5.6% | 94.4% |
| 4.5 | 1.51% | 98.49% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.99% | 14.30 |
| 1 | 18.61% | 5.37 |
| 2 | 24.75% | 4.04 |
| 3 | 21.94% | 4.56 |
| 4 | 14.59% | 6.85 |
| 5+ | 13.12% | 7.62 |
|
Over 2.5 49.65%
Under 2.5 50.35%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
31.64%
Draw
27.44%
Away Win
40.92%
Over / Under 2.5
Over 2.5
49.65%
Under 2.5
50.35%
Both to score (BTTS)
Yes
53.88%
No
46.12%
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 | 4.64% 21.53 | 9.32% 10.73 | 86.04% 1.16 |
| -1.5 | 13.96% 7.16 | — | 86.04% 1.16 |
| -1.0 | 13.96% 7.16 | 18.91% 5.29 | 67.13% 1.49 |
| -0.5 | 32.87% 3.04 | — | 67.13% 1.49 |
| 0 (PK) | 32.87% 3.04 | 25.92% 3.86 | 41.21% 2.43 |
| +0.5 | 58.79% 1.7 | — | 41.21% 2.43 |
| +1.0 | 58.79% 1.7 | 21.66% 4.62 | 19.55% 5.11 |
| +1.5 | 80.45% 1.24 | — | 19.55% 5.11 |
| +2.0 | 80.45% 1.24 | 12.22% 8.18 | 7.34% 13.63 |
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.