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
23.7%
Fair Odds
4.22
Draw
25.04%
Fair Odds
3.99
Away Win
51.26%
Fair Odds
1.95
Most Likely Score
1 - 1
Probability 11.1%
Fair Odds 9.01
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 | 4.22 | — | |
| Draw | 3.99 | — | |
| Away Win | 1.95 | — |
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 | 11.1% | 9.01 |
| 2 | 0-1 | 9.82% | 10.18 |
| 3 | 1-2 | 9.71% | 10.3 |
| 4 | 0-2 | 8.6% | 11.63 |
| 5 | 1-0 | 6.34% | 15.76 |
| 6 | 2-1 | 6.27% | 15.94 |
| 7 | 1-3 | 5.67% | 17.65 |
| 8 | 0-0 | 5.61% | 17.81 |
| 9 | 2-2 | 5.49% | 18.22 |
| 10 | 0-3 | 5.01% | 19.94 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.61%
17.81
|
9.82%
10.18
|
8.6%
11.63
|
5.01%
19.94
|
2.19%
45.59
|
0.77%
130.24
|
| 1 |
6.34%
15.76
|
11.1%
9.01
|
9.71%
10.3
|
5.67%
17.65
|
2.48%
40.34
|
0.87%
115.26
|
| 2 |
3.58%
27.9
|
6.27%
15.94
|
5.49%
18.22
|
3.2%
31.24
|
1.4%
71.4
|
0.49%
204.0
|
| 3 |
1.35%
74.08
|
2.36%
42.33
|
2.07%
48.38
|
1.21%
82.93
|
0.53%
189.57
|
0.18%
541.71
|
| 4 |
0.38%
262.19
|
0.67%
149.84
|
0.58%
171.23
|
0.34%
293.6
|
0.15%
671.14
|
0.05%
1915.71
|
| 5 |
0.09%
1160.09
|
0.15%
663.13
|
0.13%
757.58
|
0.08%
1298.7
|
0.03%
2967.36
|
0.01%
8474.58
|
Any other score (6+ goals either side)
1.02%
·
Fair:
97.76
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 67.7% | 32.3% |
| 1.5 | 31.19% | 68.81% |
| 2.5 | 10.57% | 89.43% |
| 3.5 | 2.8% | 97.2% |
| 4.5 | 0.61% | 99.39% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 82.62% | 17.38% |
| 1.5 | 52.21% | 47.79% |
| 2.5 | 25.6% | 74.4% |
| 3.5 | 10.08% | 89.92% |
| 4.5 | 3.29% | 96.71% |
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
23.70%
Draw
25.04%
Away Win
51.26%
Over / Under 2.5
Over 2.5
54.94%
Under 2.5
45.06%
Both to score (BTTS)
Yes
55.93%
No
44.07%
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 | 2.87% 34.86 | 6.61% 15.12 | 90.52% 1.1 |
| -1.5 | 9.48% 10.55 | — | 90.52% 1.1 |
| -1.0 | 9.48% 10.55 | 15.06% 6.64 | 75.46% 1.33 |
| -0.5 | 24.54% 4.07 | — | 75.46% 1.33 |
| 0 (PK) | 24.54% 4.07 | 23.57% 4.24 | 51.89% 1.93 |
| +0.5 | 48.11% 2.08 | — | 51.89% 1.93 |
| +1.0 | 48.11% 2.08 | 23.32% 4.29 | 28.57% 3.5 |
| +1.5 | 71.43% 1.4 | — | 28.57% 3.5 |
| +2.0 | 71.43% 1.4 | 15.86% 6.3 | 12.7% 7.87 |
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.