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
50.72%
Fair Odds
1.97
Draw
30.73%
Fair Odds
3.25
Away Win
18.55%
Fair Odds
5.39
Most Likely Score
1 - 0
Probability 18.17%
Fair Odds 5.5
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 | 1.97 | — | |
| Draw | 3.25 | — | |
| Away Win | 5.39 | — |
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 | 1-0 | 18.17% | 5.5 |
| 2 | 0-0 | 14.09% | 7.1 |
| 3 | 1-1 | 12.17% | 8.21 |
| 4 | 2-0 | 11.72% | 8.53 |
| 5 | 0-1 | 9.44% | 10.6 |
| 6 | 2-1 | 7.85% | 12.73 |
| 7 | 3-0 | 5.04% | 19.84 |
| 8 | 1-2 | 4.08% | 24.52 |
| 9 | 3-1 | 3.38% | 29.62 |
| 10 | 0-2 | 3.16% | 31.63 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
14.09%
7.1
|
9.44%
10.6
|
3.16%
31.63
|
0.71%
141.62
|
0.12%
845.31
|
0.02%
6329.11
|
| 1 |
18.17%
5.5
|
12.17%
8.21
|
4.08%
24.52
|
0.91%
109.79
|
0.15%
655.31
|
0.02%
4901.96
|
| 2 |
11.72%
8.53
|
7.85%
12.73
|
2.63%
38.01
|
0.59%
170.21
|
0.1%
1016.26
|
0.01%
7575.76
|
| 3 |
5.04%
19.84
|
3.38%
29.62
|
1.13%
88.4
|
0.25%
395.88
|
0.04%
2364.07
|
0.01%
17543.86
|
| 4 |
1.63%
61.53
|
1.09%
91.84
|
0.36%
274.12
|
0.08%
1226.99
|
0.01%
7352.94
|
0.0%
55555.56
|
| 5 |
0.42%
238.49
|
0.28%
356.0
|
0.09%
1062.7
|
0.02%
4761.9
|
0.0%
28571.43
|
0.0%
200000.0
|
Any other score (6+ goals either side)
0.22%
·
Fair:
450.45
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 72.47% | 27.53% |
| 1.5 | 36.96% | 63.04% |
| 2.5 | 14.06% | 85.94% |
| 3.5 | 4.21% | 95.79% |
| 4.5 | 1.03% | 98.97% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 48.83% | 51.17% |
| 1.5 | 14.54% | 85.46% |
| 2.5 | 3.06% | 96.94% |
| 3.5 | 0.49% | 99.51% |
| 4.5 | 0.06% | 99.94% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 14.09% | 7.10 |
| 1 | 27.61% | 3.62 |
| 2 | 27.06% | 3.70 |
| 3 | 17.68% | 5.66 |
| 4 | 8.66% | 11.55 |
| 5+ | 4.91% | 20.36 |
|
Over 2.5 31.25%
Under 2.5 68.75%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
50.72%
Draw
30.73%
Away Win
18.55%
Over / Under 2.5
Over 2.5
31.25%
Under 2.5
68.75%
Both to score (BTTS)
Yes
35.39%
No
64.61%
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 | 8.76% 11.41 | 15.48% 6.46 | 75.75% 1.32 |
| -1.5 | 24.25% 4.12 | — | 75.75% 1.32 |
| -1.0 | 24.25% 4.12 | 27.24% 3.67 | 48.52% 2.06 |
| -0.5 | 51.48% 1.94 | — | 48.52% 2.06 |
| 0 (PK) | 51.48% 1.94 | 29.16% 3.43 | 19.36% 5.17 |
| +0.5 | 80.64% 1.24 | — | 19.36% 5.17 |
| +1.0 | 80.64% 1.24 | 14.15% 7.07 | 5.21% 19.19 |
| +1.5 | 94.79% 1.05 | — | 5.21% 19.19 |
| +2.0 | 94.79% 1.05 | 4.18% 23.94 | 1.03% 96.78 |
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.