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
37.84%
Fair Odds
2.64
Draw
26.38%
Fair Odds
3.79
Away Win
35.78%
Fair Odds
2.79
Most Likely Score
1 - 1
Probability 11.64%
Fair Odds 8.59
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 | 2.64 | — | |
| Draw | 3.79 | — | |
| Away Win | 2.79 | — |
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 | 11.64% | 8.59 |
| 2 | 2-1 | 8.44% | 11.85 |
| 3 | 1-2 | 8.32% | 12.02 |
| 4 | 1-0 | 8.14% | 12.29 |
| 5 | 0-1 | 8.03% | 12.46 |
| 6 | 2-2 | 6.03% | 16.57 |
| 7 | 2-0 | 5.9% | 16.95 |
| 8 | 0-2 | 5.74% | 17.42 |
| 9 | 0-0 | 5.61% | 17.81 |
| 10 | 3-1 | 4.08% | 24.52 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.61%
17.81
|
8.03%
12.46
|
5.74%
17.42
|
2.74%
36.55
|
0.98%
102.24
|
0.28%
357.53
|
| 1 |
8.14%
12.29
|
11.64%
8.59
|
8.32%
12.02
|
3.97%
25.21
|
1.42%
70.51
|
0.41%
246.55
|
| 2 |
5.9%
16.95
|
8.44%
11.85
|
6.03%
16.57
|
2.88%
34.77
|
1.03%
97.26
|
0.29%
340.02
|
| 3 |
2.85%
35.06
|
4.08%
24.52
|
2.92%
34.29
|
1.39%
71.94
|
0.5%
201.21
|
0.14%
703.73
|
| 4 |
1.03%
96.72
|
1.48%
67.64
|
1.06%
94.6
|
0.5%
198.45
|
0.18%
555.25
|
0.05%
1941.75
|
| 5 |
0.3%
333.56
|
0.43%
233.21
|
0.31%
326.16
|
0.15%
684.46
|
0.05%
1915.71
|
0.01%
6711.41
|
Any other score (6+ goals either side)
0.73%
·
Fair:
136.57
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 | 76.07% | 23.93% |
| 1.5 | 41.85% | 58.15% |
| 2.5 | 17.38% | 82.62% |
| 3.5 | 5.72% | 94.28% |
| 4.5 | 1.55% | 98.45% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.61% | 17.81 |
| 1 | 16.17% | 6.19 |
| 2 | 23.28% | 4.30 |
| 3 | 22.35% | 4.47 |
| 4 | 16.09% | 6.21 |
| 5+ | 16.50% | 6.06 |
|
Over 2.5 54.94%
Under 2.5 45.06%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
37.84%
Draw
26.38%
Away Win
35.78%
Over / Under 2.5
Over 2.5
54.94%
Under 2.5
45.06%
Both to score (BTTS)
Yes
58.23%
No
41.77%
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 | 6.76% 14.79 | 11.2% 8.93 | 82.04% 1.22 |
| -1.5 | 17.96% 5.57 | — | 82.04% 1.22 |
| -1.0 | 17.96% 5.57 | 20.05% 4.99 | 61.99% 1.61 |
| -0.5 | 38.01% 2.63 | — | 61.99% 1.61 |
| 0 (PK) | 38.01% 2.63 | 24.87% 4.02 | 37.12% 2.69 |
| +0.5 | 62.88% 1.59 | — | 37.12% 2.69 |
| +1.0 | 62.88% 1.59 | 19.78% 5.06 | 17.34% 5.77 |
| +1.5 | 82.66% 1.21 | — | 17.34% 5.77 |
| +2.0 | 82.66% 1.21 | 10.89% 9.18 | 6.45% 15.51 |
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.