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
34.21%
Fair Odds
2.92
Draw
24.38%
Fair Odds
4.1
Away Win
41.41%
Fair Odds
2.41
Most Likely Score
1 - 1
Probability 9.98%
Fair Odds 10.02
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 | 2.92 | — | |
| Draw | 4.1 | — | |
| Away Win | 2.41 | — |
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 | 9.98% | 10.02 |
| 2 | 1-2 | 8.63% | 11.58 |
| 3 | 2-1 | 7.89% | 12.68 |
| 4 | 2-2 | 6.82% | 14.66 |
| 5 | 0-1 | 6.32% | 15.83 |
| 6 | 1-0 | 5.77% | 17.33 |
| 7 | 0-2 | 5.46% | 18.3 |
| 8 | 1-3 | 4.98% | 20.08 |
| 9 | 2-0 | 4.56% | 21.94 |
| 10 | 3-1 | 4.15% | 24.08 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.65%
27.39
|
6.32%
15.83
|
5.46%
18.3
|
3.15%
31.73
|
1.36%
73.37
|
0.47%
212.04
|
| 1 |
5.77%
17.33
|
9.98%
10.02
|
8.63%
11.58
|
4.98%
20.08
|
2.15%
46.44
|
0.75%
134.21
|
| 2 |
4.56%
21.94
|
7.89%
12.68
|
6.82%
14.66
|
3.93%
25.42
|
1.7%
58.78
|
0.59%
169.89
|
| 3 |
2.4%
41.66
|
4.15%
24.08
|
3.59%
27.84
|
2.07%
48.27
|
0.9%
111.62
|
0.31%
322.58
|
| 4 |
0.95%
105.46
|
1.64%
60.96
|
1.42%
70.48
|
0.82%
122.2
|
0.35%
282.57
|
0.12%
816.99
|
| 5 |
0.3%
333.78
|
0.52%
192.9
|
0.45%
223.02
|
0.26%
386.7
|
0.11%
894.45
|
0.04%
2583.98
|
Any other score (6+ goals either side)
1.43%
·
Fair:
69.9
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 79.4% | 20.6% |
| 1.5 | 46.86% | 53.14% |
| 2.5 | 21.15% | 78.85% |
| 3.5 | 7.61% | 92.39% |
| 4.5 | 2.26% | 97.74% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 82.27% | 17.73% |
| 1.5 | 51.6% | 48.4% |
| 2.5 | 25.07% | 74.93% |
| 3.5 | 9.77% | 90.23% |
| 4.5 | 3.16% | 96.84% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.65% | 27.39 |
| 1 | 12.09% | 8.27 |
| 2 | 20.00% | 5.00 |
| 3 | 22.07% | 4.53 |
| 4 | 18.26% | 5.48 |
| 5+ | 23.92% | 4.18 |
|
Over 2.5 64.26%
Under 2.5 35.74%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
34.21%
Draw
24.38%
Away Win
41.41%
Over / Under 2.5
Over 2.5
64.26%
Under 2.5
35.74%
Both to score (BTTS)
Yes
65.33%
No
34.67%
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 | 6.78% 14.75 | 10.42% 9.6 | 82.8% 1.21 |
| -1.5 | 17.2% 5.81 | — | 82.8% 1.21 |
| -1.0 | 17.2% 5.81 | 18.19% 5.5 | 64.61% 1.55 |
| -0.5 | 35.39% 2.83 | — | 64.61% 1.55 |
| 0 (PK) | 35.39% 2.83 | 22.92% 4.36 | 41.69% 2.4 |
| +0.5 | 58.31% 1.72 | — | 41.69% 2.4 |
| +1.0 | 58.31% 1.72 | 19.91% 5.02 | 21.78% 4.59 |
| +1.5 | 78.22% 1.28 | — | 21.78% 4.59 |
| +2.0 | 78.22% 1.28 | 12.49% 8.0 | 9.28% 10.77 |
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.