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
40.57%
Fair Odds
2.46
Draw
35.38%
Fair Odds
2.83
Away Win
24.06%
Fair Odds
4.16
Most Likely Score
0 - 0
Probability 18.64%
Fair Odds 5.37
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 | 2.46 | — | |
| Draw | 2.83 | — | |
| Away Win | 4.16 | — |
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 | 18.64% | 5.37 |
| 2 | 1-0 | 18.26% | 5.48 |
| 3 | 0-1 | 13.05% | 7.67 |
| 4 | 1-1 | 12.79% | 7.82 |
| 5 | 2-0 | 8.95% | 11.17 |
| 6 | 2-1 | 6.26% | 15.96 |
| 7 | 0-2 | 4.57% | 21.9 |
| 8 | 1-2 | 4.47% | 22.35 |
| 9 | 3-0 | 2.92% | 34.2 |
| 10 | 2-2 | 2.19% | 45.61 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
18.64%
5.37
|
13.05%
7.67
|
4.57%
21.9
|
1.07%
93.86
|
0.19%
536.19
|
0.03%
3831.42
|
| 1 |
18.26%
5.48
|
12.79%
7.82
|
4.47%
22.35
|
1.04%
95.78
|
0.18%
547.35
|
0.03%
3906.25
|
| 2 |
8.95%
11.17
|
6.26%
15.96
|
2.19%
45.61
|
0.51%
195.47
|
0.09%
1117.32
|
0.01%
8000.0
|
| 3 |
2.92%
34.2
|
2.05%
48.86
|
0.72%
139.61
|
0.17%
598.44
|
0.03%
3424.66
|
0.0%
24390.24
|
| 4 |
0.72%
139.61
|
0.5%
199.44
|
0.18%
569.8
|
0.04%
2444.99
|
0.01%
13888.89
|
0.0%
100000.0
|
| 5 |
0.14%
712.25
|
0.1%
1017.29
|
0.03%
2906.98
|
0.01%
12500.0
|
0.0%
71428.57
|
0.0%
500000.0
|
Any other score (6+ goals either side)
0.06%
·
Fair:
1600.0
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 62.47% | 37.53% |
| 1.5 | 25.69% | 74.31% |
| 2.5 | 7.67% | 92.33% |
| 3.5 | 1.78% | 98.22% |
| 4.5 | 0.34% | 99.66% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 50.34% | 49.66% |
| 1.5 | 15.58% | 84.42% |
| 2.5 | 3.41% | 96.59% |
| 3.5 | 0.58% | 99.42% |
| 4.5 | 0.08% | 99.92% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 18.64% | 5.37 |
| 1 | 31.31% | 3.19 |
| 2 | 26.30% | 3.80 |
| 3 | 14.73% | 6.79 |
| 4 | 6.19% | 16.17 |
| 5+ | 2.84% | 35.27 |
|
Over 2.5 23.75%
Under 2.5 76.25%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
40.57%
Draw
35.38%
Away Win
24.06%
Over / Under 2.5
Over 2.5
23.75%
Under 2.5
76.25%
Both to score (BTTS)
Yes
31.45%
No
68.55%
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 | 4.47% 22.38 | 11.18% 8.94 | 84.35% 1.19 |
| -1.5 | 15.65% 6.39 | — | 84.35% 1.19 |
| -1.0 | 15.65% 6.39 | 25.29% 3.95 | 59.06% 1.69 |
| -0.5 | 40.94% 2.44 | — | 59.06% 1.69 |
| 0 (PK) | 40.94% 2.44 | 33.79% 2.96 | 25.27% 3.96 |
| +0.5 | 74.73% 1.34 | — | 25.27% 3.96 |
| +1.0 | 74.73% 1.34 | 18.06% 5.54 | 7.21% 13.87 |
| +1.5 | 92.79% 1.08 | — | 7.21% 13.87 |
| +2.0 | 92.79% 1.08 | 5.7% 17.53 | 1.51% 66.33 |
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.