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
25.65%
Fair Odds
3.9
Draw
31.83%
Fair Odds
3.14
Away Win
42.52%
Fair Odds
2.35
Most Likely Score
0 - 1
Probability 15.54%
Fair Odds 6.43
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 | 3.9 | — | |
| Draw | 3.14 | — | |
| Away Win | 2.35 | — |
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 | 0-1 | 15.54% | 6.43 |
| 2 | 0-0 | 13.4% | 7.46 |
| 3 | 1-1 | 13.21% | 7.57 |
| 4 | 1-0 | 11.39% | 8.78 |
| 5 | 0-2 | 9.01% | 11.09 |
| 6 | 1-2 | 7.66% | 13.05 |
| 7 | 2-1 | 5.61% | 17.81 |
| 8 | 2-0 | 4.84% | 20.66 |
| 9 | 0-3 | 3.49% | 28.69 |
| 10 | 2-2 | 3.26% | 30.71 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
13.4%
7.46
|
15.54%
6.43
|
9.01%
11.09
|
3.49%
28.69
|
1.01%
98.92
|
0.23%
426.44
|
| 1 |
11.39%
8.78
|
13.21%
7.57
|
7.66%
13.05
|
2.96%
33.75
|
0.86%
116.39
|
0.2%
501.76
|
| 2 |
4.84%
20.66
|
5.61%
17.81
|
3.26%
30.71
|
1.26%
79.42
|
0.37%
273.82
|
0.08%
1180.64
|
| 3 |
1.37%
72.92
|
1.59%
62.86
|
0.92%
108.38
|
0.36%
280.27
|
0.1%
966.18
|
0.02%
4166.67
|
| 4 |
0.29%
343.17
|
0.34%
295.77
|
0.2%
509.94
|
0.08%
1319.26
|
0.02%
4545.45
|
0.01%
19607.84
|
| 5 |
0.05%
2020.2
|
0.06%
1739.13
|
0.03%
3003.0
|
0.01%
7751.94
|
0.0%
27027.03
|
0.0%
111111.11
|
Any other score (6+ goals either side)
0.15%
·
Fair:
658.33
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 57.26% | 42.74% |
| 1.5 | 20.93% | 79.07% |
| 2.5 | 5.49% | 94.51% |
| 3.5 | 1.11% | 98.89% |
| 4.5 | 0.18% | 99.82% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 68.65% | 31.35% |
| 1.5 | 32.29% | 67.71% |
| 2.5 | 11.2% | 88.8% |
| 3.5 | 3.04% | 96.96% |
| 4.5 | 0.68% | 99.32% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 13.40% | 7.46 |
| 1 | 26.93% | 3.71 |
| 2 | 27.07% | 3.69 |
| 3 | 18.13% | 5.51 |
| 4 | 9.11% | 10.97 |
| 5+ | 5.36% | 18.67 |
|
Over 2.5 32.6%
Under 2.5 67.4%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
25.65%
Draw
31.83%
Away Win
42.52%
Over / Under 2.5
Over 2.5
32.6%
Under 2.5
67.4%
Both to score (BTTS)
Yes
39.31%
No
60.69%
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 | 2.17% 46.17 | 6.64% 15.06 | 91.19% 1.1 |
| -1.5 | 8.81% 11.35 | — | 91.19% 1.1 |
| -1.0 | 8.81% 11.35 | 18.01% 5.55 | 73.19% 1.37 |
| -0.5 | 26.81% 3.73 | — | 73.19% 1.37 |
| 0 (PK) | 26.81% 3.73 | 30.25% 3.31 | 42.94% 2.33 |
| +0.5 | 57.06% 1.75 | — | 42.94% 2.33 |
| +1.0 | 57.06% 1.75 | 24.57% 4.07 | 18.37% 5.44 |
| +1.5 | 81.63% 1.23 | — | 18.37% 5.44 |
| +2.0 | 81.63% 1.23 | 12.37% 8.09 | 6.0% 16.67 |
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.