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
48.31%
Fair Odds
2.07
Draw
26.93%
Fair Odds
3.71
Away Win
24.76%
Fair Odds
4.04
Most Likely Score
1 - 1
Probability 12.09%
Fair Odds 8.27
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 | 2.07 | — | |
| Draw | 3.71 | — | |
| Away Win | 4.04 | — |
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 | 12.09% | 8.27 |
| 2 | 1-0 | 11.51% | 8.69 |
| 3 | 2-1 | 9.37% | 10.67 |
| 4 | 2-0 | 8.92% | 11.21 |
| 5 | 0-1 | 7.8% | 12.82 |
| 6 | 0-0 | 7.43% | 13.46 |
| 7 | 1-2 | 6.35% | 15.76 |
| 8 | 2-2 | 4.92% | 20.33 |
| 9 | 3-1 | 4.84% | 20.66 |
| 10 | 3-0 | 4.61% | 21.69 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
7.43%
13.46
|
7.8%
12.82
|
4.09%
24.42
|
1.43%
69.78
|
0.38%
265.82
|
0.08%
1265.82
|
| 1 |
11.51%
8.69
|
12.09%
8.27
|
6.35%
15.76
|
2.22%
45.02
|
0.58%
171.5
|
0.12%
816.99
|
| 2 |
8.92%
11.21
|
9.37%
10.67
|
4.92%
20.33
|
1.72%
58.09
|
0.45%
221.29
|
0.09%
1053.74
|
| 3 |
4.61%
21.69
|
4.84%
20.66
|
2.54%
39.35
|
0.89%
112.44
|
0.23%
428.27
|
0.05%
2040.82
|
| 4 |
1.79%
55.98
|
1.88%
53.32
|
0.98%
101.55
|
0.34%
290.19
|
0.09%
1104.97
|
0.02%
5263.16
|
| 5 |
0.55%
180.6
|
0.58%
172.0
|
0.31%
327.55
|
0.11%
936.33
|
0.03%
3571.43
|
0.01%
16949.15
|
Any other score (6+ goals either side)
0.6%
·
Fair:
167.67
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.78% | 21.22% |
| 1.5 | 45.88% | 54.12% |
| 2.5 | 20.38% | 79.62% |
| 3.5 | 7.21% | 92.79% |
| 4.5 | 2.1% | 97.9% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 65.01% | 34.99% |
| 1.5 | 28.26% | 71.74% |
| 2.5 | 8.97% | 91.03% |
| 3.5 | 2.22% | 97.78% |
| 4.5 | 0.45% | 99.55% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 7.43% | 13.46 |
| 1 | 19.31% | 5.18 |
| 2 | 25.10% | 3.98 |
| 3 | 21.76% | 4.60 |
| 4 | 14.14% | 7.07 |
| 5+ | 12.26% | 8.16 |
|
Over 2.5 48.16%
Under 2.5 51.84%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
48.31%
Draw
26.93%
Away Win
24.76%
Over / Under 2.5
Over 2.5
48.16%
Under 2.5
51.84%
Both to score (BTTS)
Yes
51.21%
No
48.79%
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 | 10.22% 9.78 | 14.86% 6.73 | 74.92% 1.33 |
| -1.5 | 25.08% 3.99 | — | 74.92% 1.33 |
| -1.0 | 25.08% 3.99 | 23.8% 4.2 | 51.12% 1.96 |
| -0.5 | 48.88% 2.05 | — | 51.12% 1.96 |
| 0 (PK) | 48.88% 2.05 | 25.42% 3.93 | 25.7% 3.89 |
| +0.5 | 74.3% 1.35 | — | 25.7% 3.89 |
| +1.0 | 74.3% 1.35 | 16.12% 6.2 | 9.58% 10.44 |
| +1.5 | 90.42% 1.11 | — | 9.58% 10.44 |
| +2.0 | 90.42% 1.11 | 6.82% 14.66 | 2.76% 36.23 |
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.