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
34.64%
Fair Odds
2.89
Draw
24.68%
Fair Odds
4.05
Away Win
40.68%
Fair Odds
2.46
Most Likely Score
1 - 1
Probability 10.26%
Fair Odds 9.74
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 | 2.89 | — | |
| Draw | 4.05 | — | |
| Away Win | 2.46 | — |
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 | 10.26% | 9.74 |
| 2 | 1-2 | 8.62% | 11.6 |
| 3 | 2-1 | 8.01% | 12.49 |
| 4 | 2-2 | 6.73% | 14.87 |
| 5 | 0-1 | 6.58% | 15.2 |
| 6 | 1-0 | 6.11% | 16.37 |
| 7 | 0-2 | 5.53% | 18.09 |
| 8 | 1-3 | 4.83% | 20.71 |
| 9 | 2-0 | 4.77% | 20.98 |
| 10 | 3-1 | 4.16% | 24.02 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.92%
25.53
|
6.58%
15.2
|
5.53%
18.09
|
3.09%
32.31
|
1.3%
76.93
|
0.44%
228.94
|
| 1 |
6.11%
16.37
|
10.26%
9.74
|
8.62%
11.6
|
4.83%
20.71
|
2.03%
49.31
|
0.68%
146.76
|
| 2 |
4.77%
20.98
|
8.01%
12.49
|
6.73%
14.87
|
3.77%
26.55
|
1.58%
63.22
|
0.53%
188.15
|
| 3 |
2.48%
40.36
|
4.16%
24.02
|
3.5%
28.6
|
1.96%
51.06
|
0.82%
121.58
|
0.28%
361.79
|
| 4 |
0.97%
103.48
|
1.62%
61.59
|
1.36%
73.32
|
0.76%
130.94
|
0.32%
311.72
|
0.11%
927.64
|
| 5 |
0.3%
331.67
|
0.51%
197.39
|
0.43%
235.02
|
0.24%
419.64
|
0.1%
999.0
|
0.03%
2976.19
|
Any other score (6+ goals either side)
1.29%
·
Fair:
77.53
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 78.99% | 21.01% |
| 1.5 | 46.21% | 53.79% |
| 2.5 | 20.64% | 79.36% |
| 3.5 | 7.34% | 92.66% |
| 4.5 | 2.15% | 97.85% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 81.36% | 18.64% |
| 1.5 | 50.05% | 49.95% |
| 2.5 | 23.75% | 76.25% |
| 3.5 | 9.02% | 90.98% |
| 4.5 | 2.84% | 97.16% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.92% | 25.53 |
| 1 | 12.69% | 7.88 |
| 2 | 20.56% | 4.86 |
| 3 | 22.20% | 4.50 |
| 4 | 17.98% | 5.56 |
| 5+ | 22.65% | 4.41 |
|
Over 2.5 62.84%
Under 2.5 37.16%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
34.64%
Draw
24.68%
Away Win
40.68%
Over / Under 2.5
Over 2.5
62.84%
Under 2.5
37.16%
Both to score (BTTS)
Yes
64.27%
No
35.73%
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 | 6.8% 14.71 | 10.56% 9.47 | 82.64% 1.21 |
| -1.5 | 17.36% 5.76 | — | 82.64% 1.21 |
| -1.0 | 17.36% 5.76 | 18.49% 5.41 | 64.16% 1.56 |
| -0.5 | 35.84% 2.79 | — | 64.16% 1.56 |
| 0 (PK) | 35.84% 2.79 | 23.22% 4.31 | 40.94% 2.44 |
| +0.5 | 59.06% 1.69 | — | 40.94% 2.44 |
| +1.0 | 59.06% 1.69 | 19.91% 5.02 | 21.03% 4.76 |
| +1.5 | 78.97% 1.27 | — | 21.03% 4.76 |
| +2.0 | 78.97% 1.27 | 12.25% 8.17 | 8.78% 11.38 |
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.