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
28.01%
Fair Odds
3.57
Draw
27.46%
Fair Odds
3.64
Away Win
44.52%
Fair Odds
2.25
Most Likely Score
1 - 1
Probability 12.34%
Fair Odds 8.11
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 | 3.57 | — | |
| Draw | 3.64 | — | |
| Away Win | 2.25 | — |
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 | 12.34% | 8.11 |
| 2 | 0-1 | 10.92% | 9.16 |
| 3 | 1-2 | 9.07% | 11.03 |
| 4 | 1-0 | 8.39% | 11.91 |
| 5 | 0-2 | 8.02% | 12.46 |
| 6 | 0-0 | 7.43% | 13.46 |
| 7 | 2-1 | 6.97% | 14.35 |
| 8 | 2-2 | 5.12% | 19.52 |
| 9 | 2-0 | 4.74% | 21.09 |
| 10 | 1-3 | 4.44% | 22.51 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
7.43%
13.46
|
10.92%
9.16
|
8.02%
12.46
|
3.93%
25.43
|
1.45%
69.2
|
0.42%
235.35
|
| 1 |
8.39%
11.91
|
12.34%
8.11
|
9.07%
11.03
|
4.44%
22.51
|
1.63%
61.24
|
0.48%
208.29
|
| 2 |
4.74%
21.09
|
6.97%
14.35
|
5.12%
19.52
|
2.51%
39.83
|
0.92%
108.39
|
0.27%
368.73
|
| 3 |
1.79%
55.98
|
2.63%
38.09
|
1.93%
51.82
|
0.95%
105.75
|
0.35%
287.77
|
0.1%
978.47
|
| 4 |
0.5%
198.18
|
0.74%
134.83
|
0.55%
183.42
|
0.27%
374.39
|
0.1%
1018.33
|
0.03%
3460.21
|
| 5 |
0.11%
877.19
|
0.17%
596.66
|
0.12%
811.69
|
0.06%
1655.63
|
0.02%
4504.5
|
0.01%
15384.62
|
Any other score (6+ goals either side)
0.52%
·
Fair:
194.06
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 67.7% | 32.3% |
| 1.5 | 31.19% | 68.81% |
| 2.5 | 10.57% | 89.43% |
| 3.5 | 2.8% | 97.2% |
| 4.5 | 0.61% | 99.39% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.01% | 22.99% |
| 1.5 | 43.21% | 56.79% |
| 2.5 | 18.37% | 81.63% |
| 3.5 | 6.19% | 93.81% |
| 4.5 | 1.72% | 98.28% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 7.43% | 13.46 |
| 1 | 19.31% | 5.18 |
| 2 | 25.10% | 3.98 |
| 3 | 21.76% | 4.60 |
| 4 | 14.14% | 7.07 |
| 5+ | 12.26% | 8.16 |
|
Over 2.5 48.16%
Under 2.5 51.84%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
28.01%
Draw
27.46%
Away Win
44.52%
Over / Under 2.5
Over 2.5
48.16%
Under 2.5
51.84%
Both to score (BTTS)
Yes
52.13%
No
47.87%
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 | 3.54% 28.23 | 7.98% 12.54 | 88.48% 1.13 |
| -1.5 | 11.52% 8.68 | — | 88.48% 1.13 |
| -1.0 | 11.52% 8.68 | 17.58% 5.69 | 70.9% 1.41 |
| -0.5 | 29.1% 3.44 | — | 70.9% 1.41 |
| 0 (PK) | 29.1% 3.44 | 25.94% 3.86 | 44.96% 2.22 |
| +0.5 | 55.04% 1.82 | — | 44.96% 2.22 |
| +1.0 | 55.04% 1.82 | 22.87% 4.37 | 22.08% 4.53 |
| +1.5 | 77.92% 1.28 | — | 22.08% 4.53 |
| +2.0 | 77.92% 1.28 | 13.5% 7.41 | 8.58% 11.65 |
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.