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
40.8%
Fair Odds
2.45
Draw
29.66%
Fair Odds
3.37
Away Win
29.54%
Fair Odds
3.39
Most Likely Score
1 - 1
Probability 13.13%
Fair Odds 7.61
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 | 2.45 | — | |
| Draw | 3.37 | — | |
| Away Win | 3.39 | — |
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 | 13.13% | 7.61 |
| 2 | 1-0 | 12.51% | 8.0 |
| 3 | 0-1 | 10.42% | 9.59 |
| 4 | 0-0 | 9.93% | 10.07 |
| 5 | 2-1 | 8.27% | 12.09 |
| 6 | 2-0 | 7.88% | 12.69 |
| 7 | 1-2 | 6.89% | 14.5 |
| 8 | 0-2 | 5.47% | 18.28 |
| 9 | 2-2 | 4.34% | 23.02 |
| 10 | 3-1 | 3.47% | 28.78 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
9.93%
10.07
|
10.42%
9.59
|
5.47%
18.28
|
1.92%
52.22
|
0.5%
198.93
|
0.11%
946.97
|
| 1 |
12.51%
8.0
|
13.13%
7.61
|
6.89%
14.5
|
2.41%
41.44
|
0.63%
157.88
|
0.13%
751.88
|
| 2 |
7.88%
12.69
|
8.27%
12.09
|
4.34%
23.02
|
1.52%
65.78
|
0.4%
250.56
|
0.08%
1193.32
|
| 3 |
3.31%
30.22
|
3.47%
28.78
|
1.82%
54.82
|
0.64%
156.62
|
0.17%
596.66
|
0.04%
2840.91
|
| 4 |
1.04%
95.93
|
1.09%
91.36
|
0.57%
174.03
|
0.2%
497.27
|
0.05%
1893.94
|
0.01%
9009.01
|
| 5 |
0.26%
380.66
|
0.28%
362.58
|
0.14%
690.61
|
0.05%
1972.39
|
0.01%
7518.8
|
0.0%
35714.29
|
Any other score (6+ goals either side)
0.27%
·
Fair:
373.83
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.63% | 28.37% |
| 1.5 | 35.89% | 64.11% |
| 2.5 | 13.38% | 86.62% |
| 3.5 | 3.92% | 96.08% |
| 4.5 | 0.94% | 99.06% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 65.01% | 34.99% |
| 1.5 | 28.26% | 71.74% |
| 2.5 | 8.97% | 91.03% |
| 3.5 | 2.22% | 97.78% |
| 4.5 | 0.45% | 99.55% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 9.93% | 10.07 |
| 1 | 22.93% | 4.36 |
| 2 | 26.48% | 3.78 |
| 3 | 20.39% | 4.90 |
| 4 | 11.78% | 8.49 |
| 5+ | 8.49% | 11.78 |
|
Over 2.5 40.66%
Under 2.5 59.34%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
40.80%
Draw
29.66%
Away Win
29.54%
Over / Under 2.5
Over 2.5
40.66%
Under 2.5
59.34%
Both to score (BTTS)
Yes
46.57%
No
53.43%
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 | 6.32% 15.83 | 11.98% 8.35 | 81.7% 1.22 |
| -1.5 | 18.3% 5.46 | — | 81.7% 1.22 |
| -1.0 | 18.3% 5.46 | 22.82% 4.38 | 58.88% 1.7 |
| -0.5 | 41.12% 2.43 | — | 58.88% 1.7 |
| 0 (PK) | 41.12% 2.43 | 28.1% 3.56 | 30.78% 3.25 |
| +0.5 | 69.22% 1.44 | — | 30.78% 3.25 |
| +1.0 | 69.22% 1.44 | 19.02% 5.26 | 11.77% 8.5 |
| +1.5 | 88.23% 1.13 | — | 11.77% 8.5 |
| +2.0 | 88.23% 1.13 | 8.32% 12.02 | 3.45% 29.01 |
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.