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
28.19%
Fair Odds
3.55
Draw
39.04%
Fair Odds
2.56
Away Win
32.77%
Fair Odds
3.05
Most Likely Score
0 - 0
Probability 23.46%
Fair Odds 4.26
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 | 3.55 | — | |
| Draw | 2.56 | — | |
| Away Win | 3.05 | — |
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 | 0-0 | 23.46% | 4.26 |
| 2 | 0-1 | 17.59% | 5.68 |
| 3 | 1-0 | 16.42% | 6.09 |
| 4 | 1-1 | 12.31% | 8.12 |
| 5 | 0-2 | 6.6% | 15.16 |
| 6 | 2-0 | 5.75% | 17.4 |
| 7 | 1-2 | 4.62% | 21.65 |
| 8 | 2-1 | 4.31% | 23.2 |
| 9 | 0-3 | 1.65% | 60.63 |
| 10 | 2-2 | 1.62% | 61.87 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
23.46%
4.26
|
17.59%
5.68
|
6.6%
15.16
|
1.65%
60.63
|
0.31%
323.42
|
0.05%
2155.17
|
| 1 |
16.42%
6.09
|
12.31%
8.12
|
4.62%
21.65
|
1.15%
86.62
|
0.22%
461.89
|
0.03%
3076.92
|
| 2 |
5.75%
17.4
|
4.31%
23.2
|
1.62%
61.87
|
0.4%
247.46
|
0.08%
1319.26
|
0.01%
8771.93
|
| 3 |
1.34%
74.57
|
1.01%
99.43
|
0.38%
265.18
|
0.09%
1060.45
|
0.02%
5649.72
|
0.0%
37037.04
|
| 4 |
0.23%
426.08
|
0.18%
568.18
|
0.07%
1515.15
|
0.02%
6060.61
|
0.0%
32258.06
|
0.0%
200000.0
|
| 5 |
0.03%
3039.51
|
0.02%
4065.04
|
0.01%
10869.57
|
0.0%
43478.26
|
0.0%
250000.0
|
0.0%
1000000.0
|
Any other score (6+ goals either side)
0.02%
·
Fair:
4545.45
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 50.34% | 49.66% |
| 1.5 | 15.58% | 84.42% |
| 2.5 | 3.41% | 96.59% |
| 3.5 | 0.58% | 99.42% |
| 4.5 | 0.08% | 99.92% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 52.76% | 47.24% |
| 1.5 | 17.34% | 82.66% |
| 2.5 | 4.05% | 95.95% |
| 3.5 | 0.73% | 99.27% |
| 4.5 | 0.11% | 99.89% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 23.46% | 4.26 |
| 1 | 34.01% | 2.94 |
| 2 | 24.66% | 4.06 |
| 3 | 11.92% | 8.39 |
| 4 | 4.32% | 23.15 |
| 5+ | 1.63% | 61.27 |
|
Over 2.5 17.87%
Under 2.5 82.13%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
28.19%
Draw
39.04%
Away Win
32.77%
Over / Under 2.5
Over 2.5
17.87%
Under 2.5
82.13%
Both to score (BTTS)
Yes
26.56%
No
73.44%
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 | 1.83% 54.73 | 6.82% 14.66 | 91.35% 1.09 |
| -1.5 | 8.65% 11.56 | — | 91.35% 1.09 |
| -1.0 | 8.65% 11.56 | 21.12% 4.73 | 70.23% 1.42 |
| -0.5 | 29.77% 3.36 | — | 70.23% 1.42 |
| 0 (PK) | 29.77% 3.36 | 37.49% 2.67 | 32.74% 3.05 |
| +0.5 | 67.26% 1.49 | — | 32.74% 3.05 |
| +1.0 | 67.26% 1.49 | 22.63% 4.42 | 10.11% 9.89 |
| +1.5 | 89.89% 1.11 | — | 10.11% 9.89 |
| +2.0 | 89.89% 1.11 | 7.83% 12.77 | 2.28% 43.89 |
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.