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
29.9%
Fair Odds
3.34
Draw
29.46%
Fair Odds
3.39
Away Win
40.64%
Fair Odds
2.46
Most Likely Score
1 - 1
Probability 13.09%
Fair Odds 7.64
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 | 3.34 | — | |
| Draw | 3.39 | — | |
| 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 | 13.09% | 7.64 |
| 2 | 0-1 | 12.23% | 8.17 |
| 3 | 1-0 | 10.31% | 9.7 |
| 4 | 0-0 | 9.63% | 10.38 |
| 5 | 1-2 | 8.31% | 12.03 |
| 6 | 0-2 | 7.77% | 12.87 |
| 7 | 2-1 | 7.0% | 14.28 |
| 8 | 2-0 | 5.51% | 18.13 |
| 9 | 2-2 | 4.45% | 22.49 |
| 10 | 1-3 | 3.52% | 28.42 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
9.63%
10.38
|
12.23%
8.17
|
7.77%
12.87
|
3.29%
30.41
|
1.04%
95.78
|
0.27%
377.07
|
| 1 |
10.31%
9.7
|
13.09%
7.64
|
8.31%
12.03
|
3.52%
28.42
|
1.12%
89.51
|
0.28%
352.36
|
| 2 |
5.51%
18.13
|
7.0%
14.28
|
4.45%
22.49
|
1.88%
53.12
|
0.6%
167.31
|
0.15%
658.76
|
| 3 |
1.97%
50.84
|
2.5%
40.04
|
1.59%
63.05
|
0.67%
148.94
|
0.21%
469.04
|
0.05%
1848.43
|
| 4 |
0.53%
190.08
|
0.67%
149.66
|
0.42%
235.68
|
0.18%
556.79
|
0.06%
1754.39
|
0.01%
6896.55
|
| 5 |
0.11%
888.1
|
0.14%
699.3
|
0.09%
1101.32
|
0.04%
2604.17
|
0.01%
8196.72
|
0.0%
32258.06
|
Any other score (6+ goals either side)
0.28%
·
Fair:
353.73
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 65.7% | 34.3% |
| 1.5 | 29.0% | 71.0% |
| 2.5 | 9.36% | 90.64% |
| 3.5 | 2.36% | 97.64% |
| 4.5 | 0.48% | 99.52% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.92% | 28.08% |
| 1.5 | 36.25% | 63.75% |
| 2.5 | 13.6% | 86.4% |
| 3.5 | 4.02% | 95.98% |
| 4.5 | 0.97% | 99.03% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 9.63% | 10.38 |
| 1 | 22.54% | 4.44 |
| 2 | 26.37% | 3.79 |
| 3 | 20.57% | 4.86 |
| 4 | 12.03% | 8.31 |
| 5+ | 8.85% | 11.30 |
|
Over 2.5 41.45%
Under 2.5 58.55%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
29.90%
Draw
29.46%
Away Win
40.64%
Over / Under 2.5
Over 2.5
41.45%
Under 2.5
58.55%
Both to score (BTTS)
Yes
47.25%
No
52.75%
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 | 3.59% 27.87 | 8.48% 11.8 | 87.93% 1.14 |
| -1.5 | 12.07% 8.29 | — | 87.93% 1.14 |
| -1.0 | 12.07% 8.29 | 19.09% 5.24 | 68.85% 1.45 |
| -0.5 | 31.15% 3.21 | — | 68.85% 1.45 |
| 0 (PK) | 31.15% 3.21 | 27.9% 3.58 | 40.94% 2.44 |
| +0.5 | 59.06% 1.69 | — | 40.94% 2.44 |
| +1.0 | 59.06% 1.69 | 22.66% 4.41 | 18.29% 5.47 |
| +1.5 | 81.71% 1.22 | — | 18.29% 5.47 |
| +2.0 | 81.71% 1.22 | 11.94% 8.37 | 6.35% 15.76 |
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.