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
11.64%
Fair Odds
8.59
Draw
27.11%
Fair Odds
3.69
Away Win
61.25%
Fair Odds
1.63
Most Likely Score
0 - 1
Probability 20.23%
Fair Odds 4.94
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 | 8.59 | — | |
| Draw | 3.69 | — | |
| Away Win | 1.63 | — |
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 | 0-1 | 20.23% | 4.94 |
| 2 | 0-2 | 15.28% | 6.55 |
| 3 | 0-0 | 13.4% | 7.46 |
| 4 | 1-1 | 10.12% | 9.89 |
| 5 | 0-3 | 7.69% | 13.01 |
| 6 | 1-2 | 7.64% | 13.09 |
| 7 | 1-0 | 6.7% | 14.93 |
| 8 | 1-3 | 3.84% | 26.01 |
| 9 | 0-4 | 2.9% | 34.45 |
| 10 | 2-1 | 2.53% | 39.54 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
13.4%
7.46
|
20.23%
4.94
|
15.28%
6.55
|
7.69%
13.01
|
2.9%
34.45
|
0.88%
114.09
|
| 1 |
6.7%
14.93
|
10.12%
9.89
|
7.64%
13.09
|
3.84%
26.01
|
1.45%
68.91
|
0.44%
228.15
|
| 2 |
1.67%
59.71
|
2.53%
39.54
|
1.91%
52.37
|
0.96%
104.05
|
0.36%
275.63
|
0.11%
912.41
|
| 3 |
0.28%
358.29
|
0.42%
237.25
|
0.32%
314.27
|
0.16%
624.22
|
0.06%
1652.89
|
0.02%
5464.48
|
| 4 |
0.03%
2865.33
|
0.05%
1897.53
|
0.04%
2512.56
|
0.02%
5000.0
|
0.01%
13157.89
|
0.0%
43478.26
|
| 5 |
0.0%
28571.43
|
0.01%
18867.92
|
0.0%
25000.0
|
0.0%
50000.0
|
0.0%
125000.0
|
0.0%
500000.0
|
Any other score (6+ goals either side)
0.46%
·
Fair:
216.92
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 39.35% | 60.65% |
| 1.5 | 9.02% | 90.98% |
| 2.5 | 1.44% | 98.56% |
| 3.5 | 0.18% | 99.82% |
| 4.5 | 0.02% | 99.98% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.91% | 22.09% |
| 1.5 | 44.55% | 55.45% |
| 2.5 | 19.37% | 80.63% |
| 3.5 | 6.69% | 93.31% |
| 4.5 | 1.9% | 98.09% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 13.40% | 7.46 |
| 1 | 26.93% | 3.71 |
| 2 | 27.07% | 3.69 |
| 3 | 18.13% | 5.51 |
| 4 | 9.11% | 10.97 |
| 5+ | 5.36% | 18.67 |
|
Over 2.5 32.6%
Under 2.5 67.4%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
11.64%
Draw
27.11%
Away Win
61.25%
Over / Under 2.5
Over 2.5
32.6%
Under 2.5
67.4%
Both to score (BTTS)
Yes
30.65%
No
69.35%
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 | 0.38% 262.61 | 2.14% 46.77 | 97.48% 1.03 |
| -1.5 | 2.52% 39.7 | — | 97.48% 1.03 |
| -1.0 | 2.52% 39.7 | 9.57% 10.45 | 87.91% 1.14 |
| -0.5 | 12.09% 8.27 | — | 87.91% 1.14 |
| 0 (PK) | 12.09% 8.27 | 25.59% 3.91 | 62.32% 1.6 |
| +0.5 | 37.68% 2.65 | — | 62.32% 1.6 |
| +1.0 | 37.68% 2.65 | 28.89% 3.46 | 33.43% 2.99 |
| +1.5 | 66.57% 1.5 | — | 33.43% 2.99 |
| +2.0 | 66.57% 1.5 | 19.5% 5.13 | 13.93% 7.18 |
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.