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
26.15%
Fair Odds
3.82
Draw
37.71%
Fair Odds
2.65
Away Win
36.14%
Fair Odds
2.77
Most Likely Score
0 - 0
Probability 21.65%
Fair Odds 4.62
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 | 3.82 | — | |
| Draw | 2.65 | — | |
| Away Win | 2.77 | — |
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 | 21.65% | 4.62 |
| 2 | 0-1 | 18.19% | 5.5 |
| 3 | 1-0 | 14.94% | 6.69 |
| 4 | 1-1 | 12.55% | 7.97 |
| 5 | 0-2 | 7.64% | 13.09 |
| 6 | 1-2 | 5.27% | 18.97 |
| 7 | 2-0 | 5.15% | 19.4 |
| 8 | 2-1 | 4.33% | 23.1 |
| 9 | 0-3 | 2.14% | 46.75 |
| 10 | 2-2 | 1.82% | 54.99 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
21.65%
4.62
|
18.19%
5.5
|
7.64%
13.09
|
2.14%
46.75
|
0.45%
222.62
|
0.08%
1324.5
|
| 1 |
14.94%
6.69
|
12.55%
7.97
|
5.27%
18.97
|
1.48%
67.76
|
0.31%
322.68
|
0.05%
1919.39
|
| 2 |
5.15%
19.4
|
4.33%
23.1
|
1.82%
54.99
|
0.51%
196.39
|
0.11%
935.45
|
0.02%
5555.56
|
| 3 |
1.19%
84.35
|
1.0%
100.41
|
0.42%
239.06
|
0.12%
853.97
|
0.02%
4065.04
|
0.0%
24390.24
|
| 4 |
0.2%
489.0
|
0.17%
582.07
|
0.07%
1385.04
|
0.02%
4950.5
|
0.0%
23809.52
|
0.0%
142857.14
|
| 5 |
0.03%
3546.1
|
0.02%
4219.41
|
0.01%
10000.0
|
0.0%
35714.29
|
0.0%
166666.67
|
0.0%
1000000.0
|
Any other score (6+ goals either side)
0.03%
·
Fair:
3125.0
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 49.84% | 50.16% |
| 1.5 | 15.23% | 84.77% |
| 2.5 | 3.29% | 96.71% |
| 3.5 | 0.55% | 99.45% |
| 4.5 | 0.07% | 99.93% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 56.83% | 43.17% |
| 1.5 | 20.57% | 79.43% |
| 2.5 | 5.33% | 94.67% |
| 3.5 | 1.07% | 98.93% |
| 4.5 | 0.17% | 99.83% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 21.65% | 4.62 |
| 1 | 33.13% | 3.02 |
| 2 | 25.34% | 3.95 |
| 3 | 12.93% | 7.74 |
| 4 | 4.94% | 20.23 |
| 5+ | 2.00% | 49.95 |
|
Over 2.5 19.87%
Under 2.5 80.13%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
26.15%
Draw
37.71%
Away Win
36.14%
Over / Under 2.5
Over 2.5
19.87%
Under 2.5
80.13%
Both to score (BTTS)
Yes
28.32%
No
71.68%
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 | 1.63% 61.27 | 6.23% 16.06 | 92.14% 1.09 |
| -1.5 | 7.86% 12.73 | — | 92.14% 1.09 |
| -1.0 | 7.86% 12.73 | 19.71% 5.07 | 72.43% 1.38 |
| -0.5 | 27.57% 3.63 | — | 72.43% 1.38 |
| 0 (PK) | 27.57% 3.63 | 36.14% 2.77 | 36.29% 2.76 |
| +0.5 | 63.71% 1.57 | — | 36.29% 2.76 |
| +1.0 | 63.71% 1.57 | 23.99% 4.17 | 12.29% 8.13 |
| +1.5 | 87.71% 1.14 | — | 12.29% 8.13 |
| +2.0 | 87.71% 1.14 | 9.23% 10.84 | 3.07% 32.6 |
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.