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
30.31%
Fair Odds
3.3
Draw
36.64%
Fair Odds
2.73
Away Win
33.05%
Fair Odds
3.03
Most Likely Score
0 - 0
Probability 19.79%
Fair Odds 5.05
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 | 3.3 | — | |
| Draw | 2.73 | — | |
| Away Win | 3.03 | — |
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 | 19.79% | 5.05 |
| 2 | 0-1 | 16.23% | 6.16 |
| 3 | 1-0 | 15.83% | 6.32 |
| 4 | 1-1 | 12.98% | 7.7 |
| 5 | 0-2 | 6.65% | 15.03 |
| 6 | 2-0 | 6.33% | 15.79 |
| 7 | 1-2 | 5.32% | 18.79 |
| 8 | 2-1 | 5.19% | 19.26 |
| 9 | 2-2 | 2.13% | 46.97 |
| 10 | 0-3 | 1.82% | 54.99 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
19.79%
5.05
|
16.23%
6.16
|
6.65%
15.03
|
1.82%
54.99
|
0.37%
268.24
|
0.06%
1636.66
|
| 1 |
15.83%
6.32
|
12.98%
7.7
|
5.32%
18.79
|
1.45%
68.73
|
0.3%
335.35
|
0.05%
2044.99
|
| 2 |
6.33%
15.79
|
5.19%
19.26
|
2.13%
46.97
|
0.58%
171.85
|
0.12%
838.22
|
0.02%
5102.04
|
| 3 |
1.69%
59.22
|
1.38%
72.21
|
0.57%
176.12
|
0.16%
644.33
|
0.03%
3144.65
|
0.01%
19230.77
|
| 4 |
0.34%
296.12
|
0.28%
361.01
|
0.11%
880.28
|
0.03%
3225.81
|
0.01%
15625.0
|
0.0%
100000.0
|
| 5 |
0.05%
1851.85
|
0.04%
2257.34
|
0.02%
5494.51
|
0.01%
20000.0
|
0.0%
100000.0
|
0.0%
500000.0
|
Any other score (6+ goals either side)
0.04%
·
Fair:
2551.02
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 55.07% | 44.93% |
| 1.5 | 19.12% | 80.88% |
| 2.5 | 4.74% | 95.26% |
| 3.5 | 0.91% | 99.09% |
| 4.5 | 0.14% | 99.86% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 55.96% | 44.04% |
| 1.5 | 19.84% | 80.16% |
| 2.5 | 5.03% | 94.97% |
| 3.5 | 0.99% | 99.01% |
| 4.5 | 0.16% | 99.84% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 19.79% | 5.05 |
| 1 | 32.06% | 3.12 |
| 2 | 25.97% | 3.85 |
| 3 | 14.02% | 7.13 |
| 4 | 5.68% | 17.61 |
| 5+ | 2.48% | 40.32 |
|
Over 2.5 22.18%
Under 2.5 77.82%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
30.31%
Draw
36.64%
Away Win
33.05%
Over / Under 2.5
Over 2.5
22.18%
Under 2.5
77.82%
Both to score (BTTS)
Yes
30.81%
No
69.19%
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 | 2.44% 41.01 | 7.84% 12.76 | 89.73% 1.11 |
| -1.5 | 10.27% 9.73 | — | 89.73% 1.11 |
| -1.0 | 10.27% 9.73 | 21.62% 4.62 | 68.1% 1.47 |
| -0.5 | 31.9% 3.13 | — | 68.1% 1.47 |
| 0 (PK) | 31.9% 3.13 | 35.06% 2.85 | 33.04% 3.03 |
| +0.5 | 66.96% 1.49 | — | 33.04% 3.03 |
| +1.0 | 66.96% 1.49 | 22.17% 4.51 | 10.87% 9.2 |
| +1.5 | 89.13% 1.12 | — | 10.87% 9.2 |
| +2.0 | 89.13% 1.12 | 8.23% 12.15 | 2.64% 37.88 |
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.