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
18.57%
Fair Odds
5.38
Draw
21.93%
Fair Odds
4.56
Away Win
59.5%
Fair Odds
1.68
Most Likely Score
1 - 2
Probability 9.89%
Fair Odds 10.11
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 | 5.38 | — | |
| Draw | 4.56 | — | |
| Away Win | 1.68 | — |
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 | 1-2 | 9.89% | 10.11 |
| 2 | 1-1 | 9.42% | 10.62 |
| 3 | 0-2 | 8.99% | 11.13 |
| 4 | 0-1 | 8.56% | 11.68 |
| 5 | 1-3 | 6.92% | 14.45 |
| 6 | 0-3 | 6.29% | 15.89 |
| 7 | 2-2 | 5.44% | 18.39 |
| 8 | 2-1 | 5.18% | 19.31 |
| 9 | 1-0 | 4.48% | 22.3 |
| 10 | 0-0 | 4.08% | 24.53 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
4.08%
24.53
|
8.56%
11.68
|
8.99%
11.13
|
6.29%
15.89
|
3.3%
30.27
|
1.39%
72.08
|
| 1 |
4.48%
22.3
|
9.42%
10.62
|
9.89%
10.11
|
6.92%
14.45
|
3.63%
27.52
|
1.53%
65.53
|
| 2 |
2.47%
40.55
|
5.18%
19.31
|
5.44%
18.39
|
3.81%
26.27
|
2.0%
50.04
|
0.84%
119.15
|
| 3 |
0.9%
110.58
|
1.9%
52.66
|
1.99%
50.15
|
1.4%
71.65
|
0.73%
136.46
|
0.31%
324.89
|
| 4 |
0.25%
402.09
|
0.52%
191.5
|
0.55%
182.38
|
0.38%
260.55
|
0.2%
496.28
|
0.08%
1182.03
|
| 5 |
0.05%
1828.15
|
0.11%
870.32
|
0.12%
829.19
|
0.08%
1184.83
|
0.04%
2257.34
|
0.02%
5376.34
|
Any other score (6+ goals either side)
2.14%
·
Fair:
46.76
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 66.71% | 33.29% |
| 1.5 | 30.1% | 69.9% |
| 2.5 | 9.96% | 90.04% |
| 3.5 | 2.57% | 97.43% |
| 4.5 | 0.54% | 99.46% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 87.75% | 12.25% |
| 1.5 | 62.04% | 37.96% |
| 2.5 | 35.04% | 64.96% |
| 3.5 | 16.13% | 83.86% |
| 4.5 | 6.21% | 93.79% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 4.08% | 24.53 |
| 1 | 13.04% | 7.67 |
| 2 | 20.87% | 4.79 |
| 3 | 22.26% | 4.49 |
| 4 | 17.81% | 5.61 |
| 5+ | 21.94% | 4.56 |
|
Over 2.5 62.01%
Under 2.5 37.99%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
18.57%
Draw
21.93%
Away Win
59.50%
Over / Under 2.5
Over 2.5
62.01%
Under 2.5
37.99%
Both to score (BTTS)
Yes
58.54%
No
41.46%
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 | 2.05% 48.83 | 5.01% 19.97 | 92.94% 1.08 |
| -1.5 | 7.05% 14.18 | — | 92.94% 1.08 |
| -1.0 | 7.05% 14.18 | 12.09% 8.27 | 80.86% 1.24 |
| -0.5 | 19.14% 5.22 | — | 80.86% 1.24 |
| 0 (PK) | 19.14% 5.22 | 20.55% 4.87 | 60.31% 1.66 |
| +0.5 | 39.69% 2.52 | — | 60.31% 1.66 |
| +1.0 | 39.69% 2.52 | 23.08% 4.33 | 37.23% 2.69 |
| +1.5 | 62.77% 1.59 | — | 37.23% 2.69 |
| +2.0 | 62.77% 1.59 | 18.25% 5.48 | 18.98% 5.27 |
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.