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
31.69%
Fair Odds
3.16
Draw
23.61%
Fair Odds
4.24
Away Win
44.7%
Fair Odds
2.24
Most Likely Score
1 - 1
Probability 9.34%
Fair Odds 10.71
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 | 3.16 | — | |
| Draw | 4.24 | — | |
| Away Win | 2.24 | — |
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 | 9.34% | 10.71 |
| 2 | 1-2 | 8.78% | 11.39 |
| 3 | 2-1 | 7.38% | 13.56 |
| 4 | 2-2 | 6.93% | 14.42 |
| 5 | 0-1 | 5.91% | 16.92 |
| 6 | 0-2 | 5.55% | 18.0 |
| 7 | 1-3 | 5.5% | 18.18 |
| 8 | 1-0 | 4.97% | 20.14 |
| 9 | 2-3 | 4.34% | 23.02 |
| 10 | 2-0 | 3.92% | 25.49 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.14%
31.82
|
5.91%
16.92
|
5.55%
18.0
|
3.48%
28.73
|
1.64%
61.13
|
0.62%
162.58
|
| 1 |
4.97%
20.14
|
9.34%
10.71
|
8.78%
11.39
|
5.5%
18.18
|
2.58%
38.69
|
0.97%
102.89
|
| 2 |
3.92%
25.49
|
7.38%
13.56
|
6.93%
14.42
|
4.34%
23.02
|
2.04%
48.97
|
0.77%
130.24
|
| 3 |
2.07%
48.4
|
3.88%
25.74
|
3.65%
27.39
|
2.29%
43.7
|
1.08%
92.99
|
0.4%
247.28
|
| 4 |
0.82%
122.53
|
1.53%
65.18
|
1.44%
69.33
|
0.9%
110.64
|
0.42%
235.4
|
0.16%
626.17
|
| 5 |
0.26%
387.75
|
0.48%
206.27
|
0.46%
219.39
|
0.29%
350.14
|
0.13%
745.16
|
0.05%
1980.2
|
Any other score (6+ goals either side)
1.82%
·
Fair:
54.86
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 79.4% | 20.6% |
| 1.5 | 46.86% | 53.14% |
| 2.5 | 21.15% | 78.85% |
| 3.5 | 7.61% | 92.39% |
| 4.5 | 2.26% | 97.74% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 84.74% | 15.26% |
| 1.5 | 56.05% | 43.95% |
| 2.5 | 29.09% | 70.91% |
| 3.5 | 12.19% | 87.81% |
| 4.5 | 4.25% | 95.75% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.14% | 31.82 |
| 1 | 10.87% | 9.20 |
| 2 | 18.81% | 5.32 |
| 3 | 21.70% | 4.61 |
| 4 | 18.77% | 5.33 |
| 5+ | 26.70% | 3.75 |
|
Over 2.5 67.17%
Under 2.5 32.83%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
31.69%
Draw
23.61%
Away Win
44.70%
Over / Under 2.5
Over 2.5
67.17%
Under 2.5
32.83%
Both to score (BTTS)
Yes
67.29%
No
32.71%
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 | 6.13% 16.32 | 9.57% 10.45 | 84.3% 1.19 |
| -1.5 | 15.7% 6.37 | — | 84.3% 1.19 |
| -1.0 | 15.7% 6.37 | 17.04% 5.87 | 67.26% 1.49 |
| -0.5 | 32.74% 3.05 | — | 67.26% 1.49 |
| 0 (PK) | 32.74% 3.05 | 22.18% 4.51 | 45.08% 2.22 |
| +0.5 | 54.92% 1.82 | — | 45.08% 2.22 |
| +1.0 | 54.92% 1.82 | 20.28% 4.93 | 24.79% 4.03 |
| +1.5 | 75.21% 1.33 | — | 24.79% 4.03 |
| +2.0 | 75.21% 1.33 | 13.55% 7.38 | 11.24% 8.9 |
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.