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
44.85%
Fair Odds
2.23
Draw
23.05%
Fair Odds
4.34
Away Win
32.1%
Fair Odds
3.12
Most Likely Score
1 - 1
Probability 8.71%
Fair Odds 11.48
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 | 2.23 | — | |
| Draw | 4.34 | — | |
| Away Win | 3.12 | — |
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 | 8.71% | 11.48 |
| 2 | 2-1 | 8.54% | 11.71 |
| 3 | 1-2 | 7.23% | 13.83 |
| 4 | 2-2 | 7.09% | 14.11 |
| 5 | 3-1 | 5.58% | 17.92 |
| 6 | 1-0 | 5.25% | 19.05 |
| 7 | 2-0 | 5.14% | 19.44 |
| 8 | 3-2 | 4.63% | 21.59 |
| 9 | 0-1 | 4.45% | 22.49 |
| 10 | 1-3 | 4.0% | 24.99 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
2.68%
37.34
|
4.45%
22.49
|
3.69%
27.1
|
2.04%
48.97
|
0.85%
118.01
|
0.28%
355.49
|
| 1 |
5.25%
19.05
|
8.71%
11.48
|
7.23%
13.83
|
4.0%
24.99
|
1.66%
60.21
|
0.55%
181.36
|
| 2 |
5.14%
19.44
|
8.54%
11.71
|
7.09%
14.11
|
3.92%
25.5
|
1.63%
61.44
|
0.54%
185.05
|
| 3 |
3.36%
29.75
|
5.58%
17.92
|
4.63%
21.59
|
2.56%
39.03
|
1.06%
94.04
|
0.35%
283.29
|
| 4 |
1.65%
60.72
|
2.73%
36.58
|
2.27%
44.07
|
1.26%
79.64
|
0.52%
191.9
|
0.17%
578.03
|
| 5 |
0.65%
154.89
|
1.07%
93.31
|
0.89%
112.42
|
0.49%
203.17
|
0.2%
489.48
|
0.07%
1474.93
|
Any other score (6+ goals either side)
2.22%
·
Fair:
45.02
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.91% | 14.09% |
| 1.5 | 58.31% | 41.69% |
| 2.5 | 31.25% | 68.75% |
| 3.5 | 13.57% | 86.43% |
| 4.5 | 4.91% | 95.09% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.99% | 19.01% |
| 1.5 | 49.42% | 50.58% |
| 2.5 | 23.23% | 76.77% |
| 3.5 | 8.73% | 91.27% |
| 4.5 | 2.71% | 97.29% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 2.68% | 37.34 |
| 1 | 9.70% | 10.31 |
| 2 | 17.55% | 5.70 |
| 3 | 21.18% | 4.72 |
| 4 | 19.16% | 5.22 |
| 5+ | 29.74% | 3.36 |
|
Over 2.5 70.08%
Under 2.5 29.92%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
44.85%
Draw
23.05%
Away Win
32.10%
Over / Under 2.5
Over 2.5
70.08%
Under 2.5
29.92%
Both to score (BTTS)
Yes
69.58%
No
30.42%
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 | 11.76% 8.5 | 13.56% 7.38 | 74.68% 1.34 |
| -1.5 | 25.32% 3.95 | — | 74.68% 1.34 |
| -1.0 | 25.32% 3.95 | 19.9% 5.02 | 54.78% 1.83 |
| -0.5 | 45.22% 2.21 | — | 54.78% 1.83 |
| 0 (PK) | 45.22% 2.21 | 21.64% 4.62 | 33.14% 3.02 |
| +0.5 | 66.86% 1.5 | — | 33.14% 3.02 |
| +1.0 | 66.86% 1.5 | 16.86% 5.93 | 16.28% 6.14 |
| +1.5 | 83.72% 1.19 | — | 16.28% 6.14 |
| +2.0 | 83.72% 1.19 | 9.73% 10.28 | 6.56% 15.25 |
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.