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
42.86%
Fair Odds
2.33
Draw
26.97%
Fair Odds
3.71
Away Win
30.16%
Fair Odds
3.32
Most Likely Score
1 - 1
Probability 12.07%
Fair Odds 8.28
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 | 2.33 | — | |
| Draw | 3.71 | — | |
| Away Win | 3.32 | — |
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 | 12.07% | 8.28 |
| 2 | 1-0 | 9.82% | 10.19 |
| 3 | 2-1 | 8.99% | 11.12 |
| 4 | 0-1 | 8.1% | 12.34 |
| 5 | 1-2 | 7.42% | 13.47 |
| 6 | 2-0 | 7.31% | 13.68 |
| 7 | 0-0 | 6.59% | 15.18 |
| 8 | 2-2 | 5.53% | 18.08 |
| 9 | 0-2 | 4.98% | 20.07 |
| 10 | 3-1 | 4.47% | 22.39 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
6.59%
15.18
|
8.1%
12.34
|
4.98%
20.07
|
2.04%
48.95
|
0.63%
159.18
|
0.15%
647.25
|
| 1 |
9.82%
10.19
|
12.07%
8.28
|
7.42%
13.47
|
3.04%
32.85
|
0.94%
106.83
|
0.23%
434.22
|
| 2 |
7.31%
13.68
|
8.99%
11.12
|
5.53%
18.08
|
2.27%
44.09
|
0.7%
143.39
|
0.17%
582.75
|
| 3 |
3.63%
27.53
|
4.47%
22.39
|
2.75%
36.4
|
1.13%
88.78
|
0.35%
288.68
|
0.09%
1173.71
|
| 4 |
1.35%
73.92
|
1.66%
60.1
|
1.02%
97.71
|
0.42%
238.32
|
0.13%
775.19
|
0.03%
3154.57
|
| 5 |
0.4%
248.02
|
0.5%
201.65
|
0.3%
327.87
|
0.12%
800.0
|
0.04%
2604.17
|
0.01%
10526.32
|
Any other score (6+ goals either side)
0.6%
·
Fair:
166.56
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.46% | 22.54% |
| 1.5 | 43.88% | 56.12% |
| 2.5 | 18.86% | 81.14% |
| 3.5 | 6.44% | 93.56% |
| 4.5 | 1.81% | 98.19% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 70.77% | 29.23% |
| 1.5 | 34.82% | 65.18% |
| 2.5 | 12.71% | 87.29% |
| 3.5 | 3.64% | 96.36% |
| 4.5 | 0.86% | 99.14% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 6.59% | 15.18 |
| 1 | 17.92% | 5.58 |
| 2 | 24.37% | 4.10 |
| 3 | 22.09% | 4.53 |
| 4 | 15.02% | 6.66 |
| 5+ | 14.01% | 7.14 |
|
Over 2.5 51.13%
Under 2.5 48.87%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
42.86%
Draw
26.97%
Away Win
30.16%
Over / Under 2.5
Over 2.5
51.13%
Under 2.5
48.87%
Both to score (BTTS)
Yes
54.82%
No
45.18%
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 | 8.27% 12.09 | 12.94% 7.73 | 78.79% 1.27 |
| -1.5 | 21.21% 4.71 | — | 78.79% 1.27 |
| -1.0 | 21.21% 4.71 | 22.02% 4.54 | 56.77% 1.76 |
| -0.5 | 43.23% 2.31 | — | 56.77% 1.76 |
| 0 (PK) | 43.23% 2.31 | 25.46% 3.93 | 31.32% 3.19 |
| +0.5 | 68.68% 1.46 | — | 31.32% 3.19 |
| +1.0 | 68.68% 1.46 | 18.18% 5.5 | 13.14% 7.61 |
| +1.5 | 86.86% 1.15 | — | 13.14% 7.61 |
| +2.0 | 86.86% 1.15 | 8.82% 11.34 | 4.32% 23.13 |
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.