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
17.63%
Fair Odds
5.67
Draw
35.54%
Fair Odds
2.81
Away Win
46.83%
Fair Odds
2.14
Most Likely Score
0 - 1
Probability 21.64%
Fair Odds 4.62
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 | 5.67 | — | |
| Draw | 2.81 | — | |
| Away Win | 2.14 | — |
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 | 0-1 | 21.64% | 4.62 |
| 2 | 0-0 | 20.8% | 4.81 |
| 3 | 1-1 | 11.47% | 8.72 |
| 4 | 0-2 | 11.25% | 8.89 |
| 5 | 1-0 | 11.03% | 9.07 |
| 6 | 1-2 | 5.96% | 16.77 |
| 7 | 0-3 | 3.9% | 25.64 |
| 8 | 2-1 | 3.04% | 32.91 |
| 9 | 2-0 | 2.92% | 34.22 |
| 10 | 1-3 | 2.07% | 48.37 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
20.8%
4.81
|
21.64%
4.62
|
11.25%
8.89
|
3.9%
25.64
|
1.01%
98.61
|
0.21%
474.16
|
| 1 |
11.03%
9.07
|
11.47%
8.72
|
5.96%
16.77
|
2.07%
48.37
|
0.54%
186.05
|
0.11%
894.45
|
| 2 |
2.92%
34.22
|
3.04%
32.91
|
1.58%
63.28
|
0.55%
182.55
|
0.14%
702.25
|
0.03%
3378.38
|
| 3 |
0.52%
193.72
|
0.54%
186.25
|
0.28%
358.17
|
0.1%
1033.06
|
0.03%
3968.25
|
0.01%
19230.77
|
| 4 |
0.07%
1461.99
|
0.07%
1406.47
|
0.04%
2702.7
|
0.01%
7812.5
|
0.0%
30303.03
|
0.0%
142857.14
|
| 5 |
0.01%
13698.63
|
0.01%
13333.33
|
0.0%
25641.03
|
0.0%
71428.57
|
0.0%
250000.0
|
0.0%
1000000.0
|
Any other score (6+ goals either side)
0.07%
·
Fair:
1342.28
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 41.14% | 58.86% |
| 1.5 | 9.94% | 90.06% |
| 2.5 | 1.68% | 98.32% |
| 3.5 | 0.22% | 99.78% |
| 4.5 | 0.02% | 99.98% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 64.65% | 35.35% |
| 1.5 | 27.9% | 72.1% |
| 2.5 | 8.78% | 91.22% |
| 3.5 | 2.15% | 97.85% |
| 4.5 | 0.43% | 99.57% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 20.80% | 4.81 |
| 1 | 32.66% | 3.06 |
| 2 | 25.64% | 3.90 |
| 3 | 13.42% | 7.45 |
| 4 | 5.27% | 18.99 |
| 5+ | 2.21% | 45.32 |
|
Over 2.5 20.89%
Under 2.5 79.11%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
17.63%
Draw
35.54%
Away Win
46.83%
Over / Under 2.5
Over 2.5
20.89%
Under 2.5
79.11%
Both to score (BTTS)
Yes
26.6%
No
73.4%
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 | 0.68% 147.85 | 3.5% 28.59 | 95.83% 1.04 |
| -1.5 | 4.17% 23.96 | — | 95.83% 1.04 |
| -1.0 | 4.17% 23.96 | 14.36% 6.96 | 81.47% 1.23 |
| -0.5 | 18.53% 5.4 | — | 81.47% 1.23 |
| 0 (PK) | 18.53% 5.4 | 33.95% 2.95 | 47.52% 2.1 |
| +0.5 | 52.48% 1.91 | — | 47.52% 2.1 |
| +1.0 | 52.48% 1.91 | 28.17% 3.55 | 19.34% 5.17 |
| +1.5 | 80.66% 1.24 | — | 19.34% 5.17 |
| +2.0 | 80.66% 1.24 | 13.47% 7.43 | 5.88% 17.02 |
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.