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
39.54%
Fair Odds
2.53
Draw
24.47%
Fair Odds
4.09
Away Win
35.99%
Fair Odds
2.78
Most Likely Score
1 - 1
Probability 10.04%
Fair Odds 9.96
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 | 2.53 | — | |
| Draw | 4.09 | — | |
| Away Win | 2.78 | — |
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 | 10.04% | 9.96 |
| 2 | 2-1 | 8.43% | 11.86 |
| 3 | 1-2 | 8.13% | 12.3 |
| 4 | 2-2 | 6.83% | 14.64 |
| 5 | 1-0 | 6.2% | 16.14 |
| 6 | 0-1 | 5.98% | 16.74 |
| 7 | 2-0 | 5.21% | 19.21 |
| 8 | 0-2 | 4.84% | 20.66 |
| 9 | 3-1 | 4.72% | 21.18 |
| 10 | 1-3 | 4.39% | 22.78 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.69%
27.11
|
5.98%
16.74
|
4.84%
20.66
|
2.61%
38.26
|
1.06%
94.47
|
0.34%
291.63
|
| 1 |
6.2%
16.14
|
10.04%
9.96
|
8.13%
12.3
|
4.39%
22.78
|
1.78%
56.24
|
0.58%
173.58
|
| 2 |
5.21%
19.21
|
8.43%
11.86
|
6.83%
14.64
|
3.69%
27.11
|
1.49%
66.95
|
0.48%
206.61
|
| 3 |
2.91%
34.31
|
4.72%
21.18
|
3.82%
26.15
|
2.07%
48.42
|
0.84%
119.55
|
0.27%
369.0
|
| 4 |
1.22%
81.69
|
1.98%
50.42
|
1.61%
62.25
|
0.87%
115.27
|
0.35%
284.66
|
0.11%
878.73
|
| 5 |
0.41%
243.13
|
0.67%
150.06
|
0.54%
185.25
|
0.29%
343.05
|
0.12%
847.46
|
0.04%
2617.8
|
Any other score (6+ goals either side)
1.39%
·
Fair:
71.81
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.36% | 18.64% |
| 1.5 | 50.05% | 49.95% |
| 2.5 | 23.75% | 76.25% |
| 3.5 | 9.02% | 90.98% |
| 4.5 | 2.84% | 97.16% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.21% | 19.79% |
| 1.5 | 48.15% | 51.85% |
| 2.5 | 22.18% | 77.82% |
| 3.5 | 8.16% | 91.84% |
| 4.5 | 2.48% | 97.52% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.69% | 27.11 |
| 1 | 12.17% | 8.22 |
| 2 | 20.08% | 4.98 |
| 3 | 22.09% | 4.53 |
| 4 | 18.23% | 5.49 |
| 5+ | 23.74% | 4.21 |
|
Over 2.5 64.06%
Under 2.5 35.94%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
39.54%
Draw
24.47%
Away Win
35.99%
Over / Under 2.5
Over 2.5
64.06%
Under 2.5
35.94%
Both to score (BTTS)
Yes
65.26%
No
34.74%
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 | 8.45% 11.84 | 11.86% 8.43 | 79.69% 1.25 |
| -1.5 | 20.31% 4.92 | — | 79.69% 1.25 |
| -1.0 | 20.31% 4.92 | 19.45% 5.14 | 60.24% 1.66 |
| -0.5 | 39.76% 2.52 | — | 60.24% 1.66 |
| 0 (PK) | 39.76% 2.52 | 23.01% 4.35 | 37.23% 2.69 |
| +0.5 | 62.77% 1.59 | — | 37.23% 2.69 |
| +1.0 | 62.77% 1.59 | 18.76% 5.33 | 18.47% 5.41 |
| +1.5 | 81.53% 1.23 | — | 18.47% 5.41 |
| +2.0 | 81.53% 1.23 | 11.03% 9.07 | 7.44% 13.43 |
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.