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
51.46%
Fair Odds
1.94
Draw
25.41%
Fair Odds
3.94
Away Win
23.12%
Fair Odds
4.32
Most Likely Score
1 - 1
Probability 11.34%
Fair Odds 8.82
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 | 1.94 | — | |
| Draw | 3.94 | — | |
| Away Win | 4.32 | — |
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 | 11.34% | 8.82 |
| 2 | 1-0 | 10.5% | 9.52 |
| 3 | 2-1 | 9.7% | 10.31 |
| 4 | 2-0 | 8.98% | 11.14 |
| 5 | 0-1 | 6.63% | 15.07 |
| 6 | 0-0 | 6.14% | 16.28 |
| 7 | 1-2 | 6.13% | 16.33 |
| 8 | 3-1 | 5.53% | 18.09 |
| 9 | 2-2 | 5.24% | 19.09 |
| 10 | 3-0 | 5.12% | 19.54 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.14%
16.28
|
6.63%
15.07
|
3.58%
27.92
|
1.29%
77.54
|
0.35%
287.19
|
0.08%
1329.79
|
| 1 |
10.5%
9.52
|
11.34%
8.82
|
6.13%
16.33
|
2.21%
45.35
|
0.6%
167.95
|
0.13%
777.6
|
| 2 |
8.98%
11.14
|
9.7%
10.31
|
5.24%
19.09
|
1.89%
53.04
|
0.51%
196.43
|
0.11%
909.09
|
| 3 |
5.12%
19.54
|
5.53%
18.09
|
2.99%
33.5
|
1.07%
93.05
|
0.29%
344.59
|
0.06%
1594.9
|
| 4 |
2.19%
45.7
|
2.36%
42.31
|
1.28%
78.36
|
0.46%
217.68
|
0.12%
806.45
|
0.03%
3731.34
|
| 5 |
0.75%
133.62
|
0.81%
123.73
|
0.44%
229.1
|
0.16%
636.54
|
0.04%
2358.49
|
0.01%
10869.57
|
Any other score (6+ goals either side)
0.91%
·
Fair:
110.04
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.91% | 18.09% |
| 1.5 | 50.99% | 49.01% |
| 2.5 | 24.54% | 75.46% |
| 3.5 | 9.47% | 90.53% |
| 4.5 | 3.03% | 96.97% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 66.04% | 33.96% |
| 1.5 | 29.36% | 70.64% |
| 2.5 | 9.56% | 90.44% |
| 3.5 | 2.43% | 97.57% |
| 4.5 | 0.5% | 99.5% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.14% | 16.28 |
| 1 | 17.14% | 5.84 |
| 2 | 23.91% | 4.18 |
| 3 | 22.23% | 4.50 |
| 4 | 15.51% | 6.45 |
| 5+ | 15.08% | 6.63 |
|
Over 2.5 52.82%
Under 2.5 47.18%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
51.46%
Draw
25.41%
Away Win
23.12%
Over / Under 2.5
Over 2.5
52.82%
Under 2.5
47.18%
Both to score (BTTS)
Yes
54.1%
No
45.9%
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 | 12.47% 8.02 | 15.95% 6.27 | 71.58% 1.4 |
| -1.5 | 28.42% 3.52 | — | 71.58% 1.4 |
| -1.0 | 28.42% 3.52 | 23.69% 4.22 | 47.89% 2.09 |
| -0.5 | 52.11% 1.92 | — | 47.89% 2.09 |
| 0 (PK) | 52.11% 1.92 | 23.93% 4.18 | 23.95% 4.17 |
| +0.5 | 76.05% 1.32 | — | 23.95% 4.17 |
| +1.0 | 76.05% 1.32 | 14.96% 6.68 | 8.99% 11.12 |
| +1.5 | 91.01% 1.1 | — | 8.99% 11.12 |
| +2.0 | 91.01% 1.1 | 6.36% 15.71 | 2.63% 38.06 |
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.