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
33.91%
Fair Odds
2.95
Draw
24.2%
Fair Odds
4.13
Away Win
41.89%
Fair Odds
2.39
Most Likely Score
1 - 1
Probability 9.82%
Fair Odds 10.19
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 | 2.95 | — | |
| Draw | 4.13 | — | |
| Away Win | 2.39 | — |
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 | 1-1 | 9.82% | 10.19 |
| 2 | 1-2 | 8.64% | 11.57 |
| 3 | 2-1 | 7.81% | 12.81 |
| 4 | 2-2 | 6.87% | 14.56 |
| 5 | 0-1 | 6.17% | 16.19 |
| 6 | 1-0 | 5.58% | 17.93 |
| 7 | 0-2 | 5.43% | 18.4 |
| 8 | 1-3 | 5.07% | 19.73 |
| 9 | 2-0 | 4.43% | 22.55 |
| 10 | 3-1 | 4.14% | 24.17 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.51%
28.5
|
6.17%
16.19
|
5.43%
18.4
|
3.19%
31.37
|
1.4%
71.29
|
0.49%
202.55
|
| 1 |
5.58%
17.93
|
9.82%
10.19
|
8.64%
11.57
|
5.07%
19.73
|
2.23%
44.84
|
0.78%
127.39
|
| 2 |
4.43%
22.55
|
7.81%
12.81
|
6.87%
14.56
|
4.03%
24.82
|
1.77%
56.4
|
0.62%
160.23
|
| 3 |
2.35%
42.54
|
4.14%
24.17
|
3.64%
27.47
|
2.14%
46.82
|
0.94%
106.42
|
0.33%
302.3
|
| 4 |
0.93%
107.03
|
1.64%
60.81
|
1.45%
69.1
|
0.85%
117.8
|
0.37%
267.74
|
0.13%
760.46
|
| 5 |
0.3%
336.59
|
0.52%
191.24
|
0.46%
217.3
|
0.27%
370.37
|
0.12%
841.75
|
0.04%
2392.34
|
Any other score (6+ goals either side)
1.52%
·
Fair:
65.86
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 79.61% | 20.39% |
| 1.5 | 47.18% | 52.82% |
| 2.5 | 21.41% | 78.59% |
| 3.5 | 7.74% | 92.26% |
| 4.5 | 2.31% | 97.69% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 82.8% | 17.2% |
| 1.5 | 52.52% | 47.48% |
| 2.5 | 25.87% | 74.13% |
| 3.5 | 10.24% | 89.76% |
| 4.5 | 3.36% | 96.64% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.51% | 28.50 |
| 1 | 11.75% | 8.51 |
| 2 | 19.69% | 5.08 |
| 3 | 21.98% | 4.55 |
| 4 | 18.41% | 5.43 |
| 5+ | 24.66% | 4.06 |
|
Over 2.5 65.05%
Under 2.5 34.95%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
33.91%
Draw
24.20%
Away Win
41.89%
Over / Under 2.5
Over 2.5
65.05%
Under 2.5
34.95%
Both to score (BTTS)
Yes
65.91%
No
34.09%
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 | 6.75% 14.83 | 10.32% 9.69 | 82.93% 1.21 |
| -1.5 | 17.07% 5.86 | — | 82.93% 1.21 |
| -1.0 | 17.07% 5.86 | 18.0% 5.55 | 64.93% 1.54 |
| -0.5 | 35.07% 2.85 | — | 64.93% 1.54 |
| 0 (PK) | 35.07% 2.85 | 22.75% 4.4 | 42.18% 2.37 |
| +0.5 | 57.82% 1.73 | — | 42.18% 2.37 |
| +1.0 | 57.82% 1.73 | 19.93% 5.02 | 22.25% 4.49 |
| +1.5 | 77.75% 1.29 | — | 22.25% 4.49 |
| +2.0 | 77.75% 1.29 | 12.65% 7.91 | 9.6% 10.42 |
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.