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
43.25%
Fair Odds
2.31
Draw
25.75%
Fair Odds
3.88
Away Win
31.0%
Fair Odds
3.23
Most Likely Score
1 - 1
Probability 11.26%
Fair Odds 8.88
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 | 2.31 | — | |
| Draw | 3.88 | — | |
| Away Win | 3.23 | — |
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 | 11.26% | 8.88 |
| 2 | 2-1 | 9.07% | 11.03 |
| 3 | 1-0 | 8.34% | 11.99 |
| 4 | 1-2 | 7.6% | 13.15 |
| 5 | 0-1 | 7.0% | 14.29 |
| 6 | 2-0 | 6.72% | 14.89 |
| 7 | 2-2 | 6.12% | 16.34 |
| 8 | 0-0 | 5.18% | 19.3 |
| 9 | 3-1 | 4.87% | 20.55 |
| 10 | 0-2 | 4.72% | 21.18 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
5.18%
19.3
|
7.0%
14.29
|
4.72%
21.18
|
2.12%
47.06
|
0.72%
139.43
|
0.19%
516.53
|
| 1 |
8.34%
11.99
|
11.26%
8.88
|
7.6%
13.15
|
3.42%
29.23
|
1.15%
86.61
|
0.31%
320.82
|
| 2 |
6.72%
14.89
|
9.07%
11.03
|
6.12%
16.34
|
2.75%
36.31
|
0.93%
107.58
|
0.25%
398.41
|
| 3 |
3.6%
27.74
|
4.87%
20.55
|
3.28%
30.45
|
1.48%
67.66
|
0.5%
200.48
|
0.13%
742.39
|
| 4 |
1.45%
68.93
|
1.96%
51.06
|
1.32%
75.64
|
0.59%
168.1
|
0.2%
498.01
|
0.05%
1845.02
|
| 5 |
0.47%
214.09
|
0.63%
158.58
|
0.43%
234.91
|
0.19%
521.92
|
0.06%
1547.99
|
0.02%
5714.29
|
Any other score (6+ goals either side)
0.89%
·
Fair:
112.61
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 80.01% | 19.99% |
| 1.5 | 47.83% | 52.17% |
| 2.5 | 21.92% | 78.08% |
| 3.5 | 8.02% | 91.98% |
| 4.5 | 2.42% | 97.58% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 74.08% | 25.92% |
| 1.5 | 39.08% | 60.92% |
| 2.5 | 15.46% | 84.54% |
| 3.5 | 4.82% | 95.18% |
| 4.5 | 1.24% | 98.76% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 5.18% | 19.30 |
| 1 | 15.34% | 6.52 |
| 2 | 22.70% | 4.41 |
| 3 | 22.40% | 4.46 |
| 4 | 16.57% | 6.03 |
| 5+ | 17.81% | 5.62 |
|
Over 2.5 56.78%
Under 2.5 43.22%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
43.25%
Draw
25.75%
Away Win
31.00%
Over / Under 2.5
Over 2.5
56.78%
Under 2.5
43.22%
Both to score (BTTS)
Yes
59.27%
No
40.73%
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 | 9.13% 10.95 | 13.11% 7.63 | 77.75% 1.29 |
| -1.5 | 22.25% 4.49 | — | 77.75% 1.29 |
| -1.0 | 22.25% 4.49 | 21.36% 4.68 | 56.39% 1.77 |
| -0.5 | 43.61% 2.29 | — | 56.39% 1.77 |
| 0 (PK) | 43.61% 2.29 | 24.26% 4.12 | 32.13% 3.11 |
| +0.5 | 67.87% 1.47 | — | 32.13% 3.11 |
| +1.0 | 67.87% 1.47 | 17.91% 5.58 | 14.22% 7.03 |
| +1.5 | 85.78% 1.17 | — | 14.22% 7.03 |
| +2.0 | 85.78% 1.17 | 9.22% 10.85 | 5.0% 19.99 |
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.