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
29.32%
Fair Odds
3.41
Draw
35.97%
Fair Odds
2.78
Away Win
34.7%
Fair Odds
2.88
Most Likely Score
0 - 0
Probability 18.82%
Fair Odds 5.31
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 | 3.41 | — | |
| Draw | 2.78 | — | |
| Away Win | 2.88 | — |
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 | 0-0 | 18.82% | 5.31 |
| 2 | 0-1 | 16.38% | 6.11 |
| 3 | 1-0 | 15.06% | 6.64 |
| 4 | 1-1 | 13.1% | 7.63 |
| 5 | 0-2 | 7.12% | 14.04 |
| 6 | 2-0 | 6.02% | 16.6 |
| 7 | 1-2 | 5.7% | 17.55 |
| 8 | 2-1 | 5.24% | 19.08 |
| 9 | 2-2 | 2.28% | 43.87 |
| 10 | 0-3 | 2.07% | 48.4 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
18.82%
5.31
|
16.38%
6.11
|
7.12%
14.04
|
2.07%
48.4
|
0.45%
222.52
|
0.08%
1278.77
|
| 1 |
15.06%
6.64
|
13.1%
7.63
|
5.7%
17.55
|
1.65%
60.5
|
0.36%
278.16
|
0.06%
1597.44
|
| 2 |
6.02%
16.6
|
5.24%
19.08
|
2.28%
43.87
|
0.66%
151.26
|
0.14%
695.41
|
0.03%
4000.0
|
| 3 |
1.61%
62.25
|
1.4%
71.56
|
0.61%
164.5
|
0.18%
567.21
|
0.04%
2610.97
|
0.01%
14925.37
|
| 4 |
0.32%
311.24
|
0.28%
357.78
|
0.12%
822.37
|
0.04%
2832.86
|
0.01%
12987.01
|
0.0%
76923.08
|
| 5 |
0.05%
1945.53
|
0.04%
2237.14
|
0.02%
5128.21
|
0.01%
17857.14
|
0.0%
83333.33
|
0.0%
500000.0
|
Any other score (6+ goals either side)
0.05%
·
Fair:
2118.64
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 55.07% | 44.93% |
| 1.5 | 19.12% | 80.88% |
| 2.5 | 4.74% | 95.26% |
| 3.5 | 0.91% | 99.09% |
| 4.5 | 0.14% | 99.86% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 58.1% | 41.9% |
| 1.5 | 21.66% | 78.34% |
| 2.5 | 5.8% | 94.2% |
| 3.5 | 1.2% | 98.8% |
| 4.5 | 0.2% | 99.8% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 18.82% | 5.31 |
| 1 | 31.44% | 3.18 |
| 2 | 26.25% | 3.81 |
| 3 | 14.61% | 6.84 |
| 4 | 6.10% | 16.39 |
| 5+ | 2.77% | 36.04 |
|
Over 2.5 23.49%
Under 2.5 76.51%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
29.32%
Draw
35.97%
Away Win
34.70%
Over / Under 2.5
Over 2.5
23.49%
Under 2.5
76.51%
Both to score (BTTS)
Yes
32.0%
No
68.0%
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 | 2.34% 42.72 | 7.55% 13.25 | 90.11% 1.11 |
| -1.5 | 9.89% 10.11 | — | 90.11% 1.11 |
| -1.0 | 9.89% 10.11 | 20.95% 4.77 | 69.17% 1.45 |
| -0.5 | 30.83% 3.24 | — | 69.17% 1.45 |
| 0 (PK) | 30.83% 3.24 | 34.39% 2.91 | 34.77% 2.88 |
| +0.5 | 65.23% 1.53 | — | 34.77% 2.88 |
| +1.0 | 65.23% 1.53 | 22.78% 4.39 | 12.0% 8.34 |
| +1.5 | 88.0% 1.14 | — | 12.0% 8.34 |
| +2.0 | 88.0% 1.14 | 8.93% 11.2 | 3.07% 32.58 |
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.