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
31.34%
Fair Odds
3.19
Draw
34.7%
Fair Odds
2.88
Away Win
33.96%
Fair Odds
2.94
Most Likely Score
0 - 0
Probability 16.86%
Fair Odds 5.93
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 | 3.19 | — | |
| Draw | 2.88 | — | |
| Away Win | 2.94 | — |
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 | 0-0 | 16.86% | 5.93 |
| 2 | 0-1 | 15.18% | 6.59 |
| 3 | 1-0 | 14.84% | 6.74 |
| 4 | 1-1 | 13.36% | 7.49 |
| 5 | 0-2 | 6.83% | 14.64 |
| 6 | 2-0 | 6.53% | 15.31 |
| 7 | 1-2 | 6.01% | 16.64 |
| 8 | 2-1 | 5.88% | 17.02 |
| 9 | 2-2 | 2.64% | 37.81 |
| 10 | 0-3 | 2.05% | 48.8 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
16.86%
5.93
|
15.18%
6.59
|
6.83%
14.64
|
2.05%
48.8
|
0.46%
216.92
|
0.08%
1204.82
|
| 1 |
14.84%
6.74
|
13.36%
7.49
|
6.01%
16.64
|
1.8%
55.46
|
0.41%
246.49
|
0.07%
1369.86
|
| 2 |
6.53%
15.31
|
5.88%
17.02
|
2.64%
37.81
|
0.79%
126.04
|
0.18%
560.22
|
0.03%
3115.26
|
| 3 |
1.92%
52.21
|
1.72%
58.01
|
0.78%
128.92
|
0.23%
429.74
|
0.05%
1908.4
|
0.01%
10638.3
|
| 4 |
0.42%
237.3
|
0.38%
263.71
|
0.17%
585.82
|
0.05%
1953.12
|
0.01%
8695.65
|
0.0%
47619.05
|
| 5 |
0.07%
1347.71
|
0.07%
1499.25
|
0.03%
3333.33
|
0.01%
11111.11
|
0.0%
50000.0
|
0.0%
250000.0
|
Any other score (6+ goals either side)
0.06%
·
Fair:
1540.83
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 58.52% | 41.48% |
| 1.5 | 22.02% | 77.98% |
| 2.5 | 5.96% | 94.04% |
| 3.5 | 1.25% | 98.75% |
| 4.5 | 0.21% | 99.79% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 59.34% | 40.66% |
| 1.5 | 22.75% | 77.25% |
| 2.5 | 6.29% | 93.71% |
| 3.5 | 1.35% | 98.65% |
| 4.5 | 0.23% | 99.77% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 16.86% | 5.93 |
| 1 | 30.02% | 3.33 |
| 2 | 26.72% | 3.74 |
| 3 | 15.85% | 6.31 |
| 4 | 7.05% | 14.18 |
| 5+ | 3.50% | 28.59 |
|
Over 2.5 26.4%
Under 2.5 73.6%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
31.34%
Draw
34.70%
Away Win
33.96%
Over / Under 2.5
Over 2.5
26.4%
Under 2.5
73.6%
Both to score (BTTS)
Yes
34.73%
No
65.27%
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 | 2.92% 34.28 | 8.43% 11.86 | 88.65% 1.13 |
| -1.5 | 11.35% 8.81 | — | 88.65% 1.13 |
| -1.0 | 11.35% 8.81 | 21.55% 4.64 | 67.1% 1.49 |
| -0.5 | 32.9% 3.04 | — | 67.1% 1.49 |
| 0 (PK) | 32.9% 3.04 | 33.11% 3.02 | 33.99% 2.94 |
| +0.5 | 66.01% 1.52 | — | 33.99% 2.94 |
| +1.0 | 66.01% 1.52 | 22.04% 4.54 | 11.96% 8.36 |
| +1.5 | 88.04% 1.14 | — | 11.96% 8.36 |
| +2.0 | 88.04% 1.14 | 8.82% 11.34 | 3.14% 31.87 |
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.