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
71.21%
Fair Odds
1.4
Draw
16.95%
Fair Odds
5.9
Away Win
11.84%
Fair Odds
8.45
Most Likely Score
2 - 1
Probability 9.15%
Fair Odds 10.93
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 | 1.4 | — | |
| Draw | 5.9 | — | |
| Away Win | 8.45 | — |
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 | 2-1 | 9.15% | 10.93 |
| 2 | 2-0 | 9.06% | 11.04 |
| 3 | 3-1 | 8.05% | 12.42 |
| 4 | 3-0 | 7.97% | 12.55 |
| 5 | 1-1 | 6.93% | 14.43 |
| 6 | 1-0 | 6.86% | 14.57 |
| 7 | 4-1 | 5.31% | 18.82 |
| 8 | 4-0 | 5.26% | 19.01 |
| 9 | 2-2 | 4.62% | 21.64 |
| 10 | 3-2 | 4.07% | 24.6 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
2.6%
38.47
|
2.63%
38.09
|
1.33%
75.43
|
0.45%
224.01
|
0.11%
887.31
|
0.02%
4385.96
|
| 1 |
6.86%
14.57
|
6.93%
14.43
|
3.5%
28.57
|
1.18%
84.86
|
0.3%
336.13
|
0.06%
1663.89
|
| 2 |
9.06%
11.04
|
9.15%
10.93
|
4.62%
21.64
|
1.56%
64.29
|
0.39%
254.58
|
0.08%
1261.03
|
| 3 |
7.97%
12.55
|
8.05%
12.42
|
4.07%
24.6
|
1.37%
73.06
|
0.35%
289.35
|
0.07%
1432.66
|
| 4 |
5.26%
19.01
|
5.31%
18.82
|
2.68%
37.27
|
0.9%
110.69
|
0.23%
438.4
|
0.05%
2169.2
|
| 5 |
2.78%
36.0
|
2.81%
35.64
|
1.42%
70.58
|
0.48%
209.64
|
0.12%
830.56
|
0.02%
4115.23
|
Any other score (6+ goals either side)
5.25%
·
Fair:
19.04
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 92.85% | 7.14% |
| 1.5 | 74.01% | 25.98% |
| 2.5 | 49.15% | 50.84% |
| 3.5 | 27.26% | 72.73% |
| 4.5 | 12.82% | 87.17% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 63.58% | 36.42% |
| 1.5 | 26.79% | 73.21% |
| 2.5 | 8.21% | 91.79% |
| 3.5 | 1.96% | 98.04% |
| 4.5 | 0.38% | 99.62% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 2.60% | 38.47 |
| 1 | 9.49% | 10.54 |
| 2 | 17.32% | 5.78 |
| 3 | 21.07% | 4.75 |
| 4 | 19.22% | 5.20 |
| 5+ | 30.31% | 3.30 |
|
Over 2.5 70.59%
Under 2.5 29.4%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
71.21%
Draw
16.95%
Away Win
11.84%
Over / Under 2.5
Over 2.5
70.59%
Under 2.5
29.4%
Both to score (BTTS)
Yes
59.03%
No
40.97%
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 | 30.67% 3.26 | 20.32% 4.92 | 49.0% 2.04 |
| -1.5 | 50.99% 1.96 | — | 49.0% 2.04 |
| -1.0 | 50.99% 1.96 | 21.11% 4.74 | 27.89% 3.59 |
| -0.5 | 72.1% 1.39 | — | 27.89% 3.59 |
| 0 (PK) | 72.1% 1.39 | 15.77% 6.34 | 12.12% 8.25 |
| +0.5 | 87.87% 1.14 | — | 12.12% 8.25 |
| +1.0 | 87.87% 1.14 | 8.08% 12.38 | 4.04% 24.75 |
| +1.5 | 95.95% 1.04 | — | 4.04% 24.75 |
| +2.0 | 95.95% 1.04 | 2.97% 33.62 | 1.07% 93.85 |
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.