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
40.83%
Fair Odds
2.45
Draw
27.06%
Fair Odds
3.69
Away Win
32.1%
Fair Odds
3.11
Most Likely Score
1 - 1
Probability 12.1%
Fair Odds 8.26
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 | 2.45 | — | |
| Draw | 3.69 | — | |
| Away Win | 3.11 | — |
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 | 12.1% | 8.26 |
| 2 | 1-0 | 9.46% | 10.57 |
| 3 | 2-1 | 8.78% | 11.39 |
| 4 | 0-1 | 8.35% | 11.98 |
| 5 | 1-2 | 7.75% | 12.91 |
| 6 | 2-0 | 6.86% | 14.59 |
| 7 | 0-0 | 6.52% | 15.33 |
| 8 | 2-2 | 5.62% | 17.8 |
| 9 | 0-2 | 5.34% | 18.72 |
| 10 | 3-1 | 4.24% | 23.58 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.52%
15.33
|
8.35%
11.98
|
5.34%
18.72
|
2.28%
43.87
|
0.73%
137.08
|
0.19%
535.62
|
| 1 |
9.46%
10.57
|
12.1%
8.26
|
7.75%
12.91
|
3.31%
30.25
|
1.06%
94.54
|
0.27%
369.28
|
| 2 |
6.86%
14.59
|
8.78%
11.39
|
5.62%
17.8
|
2.4%
41.73
|
0.77%
130.4
|
0.2%
509.42
|
| 3 |
3.31%
30.18
|
4.24%
23.58
|
2.71%
36.84
|
1.16%
86.33
|
0.37%
269.83
|
0.09%
1053.74
|
| 4 |
1.2%
83.24
|
1.54%
65.04
|
0.98%
101.62
|
0.42%
238.15
|
0.13%
744.05
|
0.03%
2906.98
|
| 5 |
0.35%
287.03
|
0.45%
224.27
|
0.29%
350.39
|
0.12%
821.02
|
0.04%
2564.1
|
0.01%
10000.0
|
Any other score (6+ goals either side)
0.58%
·
Fair:
171.09
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.54% | 23.46% |
| 1.5 | 42.53% | 57.47% |
| 2.5 | 17.87% | 82.13% |
| 3.5 | 5.95% | 94.05% |
| 4.5 | 1.63% | 98.37% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 72.2% | 27.8% |
| 1.5 | 36.61% | 63.39% |
| 2.5 | 13.83% | 86.17% |
| 3.5 | 4.11% | 95.89% |
| 4.5 | 1.0% | 99.0% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.52% | 15.33 |
| 1 | 17.80% | 5.62 |
| 2 | 24.30% | 4.11 |
| 3 | 22.12% | 4.52 |
| 4 | 15.09% | 6.62 |
| 5+ | 14.16% | 7.06 |
|
Over 2.5 51.37%
Under 2.5 48.63%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
40.83%
Draw
27.06%
Away Win
32.10%
Over / Under 2.5
Over 2.5
51.37%
Under 2.5
48.63%
Both to score (BTTS)
Yes
55.26%
No
44.74%
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 | 7.5% 13.34 | 12.21% 8.19 | 80.29% 1.25 |
| -1.5 | 19.71% 5.07 | — | 80.29% 1.25 |
| -1.0 | 19.71% 5.07 | 21.41% 4.67 | 58.88% 1.7 |
| -0.5 | 41.12% 2.43 | — | 58.88% 1.7 |
| 0 (PK) | 41.12% 2.43 | 25.55% 3.91 | 33.33% 3.0 |
| +0.5 | 66.67% 1.5 | — | 33.33% 3.0 |
| +1.0 | 66.67% 1.5 | 18.9% 5.29 | 14.43% 6.93 |
| +1.5 | 85.57% 1.17 | — | 14.43% 6.93 |
| +2.0 | 85.57% 1.17 | 9.52% 10.51 | 4.92% 20.34 |
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.