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
36.57%
Fair Odds
2.73
Draw
24.89%
Fair Odds
4.02
Away Win
38.53%
Fair Odds
2.6
Most Likely Score
1 - 1
Probability 10.43%
Fair Odds 9.58
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 | 2.73 | — | |
| Draw | 4.02 | — | |
| Away Win | 2.6 | — |
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 | 10.43% | 9.58 |
| 2 | 1-2 | 8.4% | 11.9 |
| 3 | 2-1 | 8.3% | 12.05 |
| 4 | 2-2 | 6.68% | 14.97 |
| 5 | 0-1 | 6.56% | 15.24 |
| 6 | 1-0 | 6.48% | 15.43 |
| 7 | 0-2 | 5.28% | 18.93 |
| 8 | 2-0 | 5.15% | 19.41 |
| 9 | 1-3 | 4.51% | 22.18 |
| 10 | 3-1 | 4.4% | 22.74 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.08%
24.53
|
6.56%
15.24
|
5.28%
18.93
|
2.84%
35.27
|
1.14%
87.63
|
0.37%
272.11
|
| 1 |
6.48%
15.43
|
10.43%
9.58
|
8.4%
11.9
|
4.51%
22.18
|
1.81%
55.11
|
0.58%
171.14
|
| 2 |
5.15%
19.41
|
8.3%
12.05
|
6.68%
14.97
|
3.58%
27.9
|
1.44%
69.32
|
0.46%
215.29
|
| 3 |
2.73%
36.62
|
4.4%
22.74
|
3.54%
28.25
|
1.9%
52.65
|
0.76%
130.8
|
0.25%
406.17
|
| 4 |
1.09%
92.12
|
1.75%
57.22
|
1.41%
71.08
|
0.76%
132.45
|
0.3%
329.06
|
0.1%
1021.45
|
| 5 |
0.35%
289.69
|
0.56%
179.92
|
0.45%
223.51
|
0.24%
416.49
|
0.1%
1035.2
|
0.03%
3215.43
|
Any other score (6+ goals either side)
1.2%
·
Fair:
83.03
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 79.61% | 20.39% |
| 1.5 | 47.18% | 52.82% |
| 2.5 | 21.41% | 78.59% |
| 3.5 | 7.74% | 92.26% |
| 4.5 | 2.31% | 97.69% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.01% | 19.99% |
| 1.5 | 47.83% | 52.17% |
| 2.5 | 21.92% | 78.08% |
| 3.5 | 8.02% | 91.98% |
| 4.5 | 2.42% | 97.58% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.08% | 24.53 |
| 1 | 13.04% | 7.67 |
| 2 | 20.87% | 4.79 |
| 3 | 22.26% | 4.49 |
| 4 | 17.81% | 5.62 |
| 5+ | 21.94% | 4.56 |
|
Over 2.5 62.01%
Under 2.5 37.99%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
36.57%
Draw
24.89%
Away Win
38.53%
Over / Under 2.5
Over 2.5
62.01%
Under 2.5
37.99%
Both to score (BTTS)
Yes
63.69%
No
36.31%
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 | 7.46% 13.41 | 11.22% 8.91 | 81.32% 1.23 |
| -1.5 | 18.68% 5.35 | — | 81.32% 1.23 |
| -1.0 | 18.68% 5.35 | 19.18% 5.21 | 62.14% 1.61 |
| -0.5 | 37.86% 2.64 | — | 62.14% 1.61 |
| 0 (PK) | 37.86% 2.64 | 23.43% 4.27 | 38.71% 2.58 |
| +0.5 | 61.29% 1.63 | — | 38.71% 2.58 |
| +1.0 | 61.29% 1.63 | 19.42% 5.15 | 19.3% 5.18 |
| +1.5 | 80.7% 1.24 | — | 19.3% 5.18 |
| +2.0 | 80.7% 1.24 | 11.51% 8.69 | 7.79% 12.84 |
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.