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
24.97%
Fair Odds
4.01
Draw
23.5%
Fair Odds
4.26
Away Win
51.53%
Fair Odds
1.94
Most Likely Score
1 - 1
Probability 9.85%
Fair Odds 10.15
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 | 4.01 | — | |
| Draw | 4.26 | — | |
| Away Win | 1.94 | — |
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 | 1-1 | 9.85% | 10.15 |
| 2 | 1-2 | 9.56% | 10.46 |
| 3 | 0-1 | 7.52% | 13.29 |
| 4 | 0-2 | 7.3% | 13.71 |
| 5 | 2-1 | 6.45% | 15.49 |
| 6 | 2-2 | 6.26% | 15.97 |
| 7 | 1-3 | 6.18% | 16.18 |
| 8 | 1-0 | 5.08% | 19.69 |
| 9 | 0-3 | 4.72% | 21.19 |
| 10 | 2-3 | 4.05% | 24.7 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.88%
25.79
|
7.52%
13.29
|
7.3%
13.71
|
4.72%
21.19
|
2.29%
43.7
|
0.89%
112.63
|
| 1 |
5.08%
19.69
|
9.85%
10.15
|
9.56%
10.46
|
6.18%
16.18
|
3.0%
33.36
|
1.16%
85.97
|
| 2 |
3.33%
30.06
|
6.45%
15.49
|
6.26%
15.97
|
4.05%
24.7
|
1.96%
50.93
|
0.76%
131.25
|
| 3 |
1.45%
68.83
|
2.82%
35.48
|
2.73%
36.58
|
1.77%
56.56
|
0.86%
116.63
|
0.33%
300.57
|
| 4 |
0.48%
210.17
|
0.92%
108.34
|
0.9%
111.68
|
0.58%
172.71
|
0.28%
356.13
|
0.11%
917.43
|
| 5 |
0.12%
801.92
|
0.24%
413.56
|
0.23%
426.26
|
0.15%
659.2
|
0.07%
1358.7
|
0.03%
3508.77
|
Any other score (6+ goals either side)
1.68%
·
Fair:
59.63
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 73.02% | 26.98% |
| 1.5 | 37.67% | 62.33% |
| 2.5 | 14.52% | 85.48% |
| 3.5 | 4.41% | 95.59% |
| 4.5 | 1.1% | 98.9% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 85.63% | 14.37% |
| 1.5 | 57.75% | 42.25% |
| 2.5 | 30.71% | 69.29% |
| 3.5 | 13.22% | 86.78% |
| 4.5 | 4.74% | 95.26% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.88% | 25.79 |
| 1 | 12.60% | 7.94 |
| 2 | 20.48% | 4.88 |
| 3 | 22.18% | 4.51 |
| 4 | 18.02% | 5.55 |
| 5+ | 22.83% | 4.38 |
|
Over 2.5 63.04%
Under 2.5 36.96%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
24.97%
Draw
23.50%
Away Win
51.53%
Over / Under 2.5
Over 2.5
63.04%
Under 2.5
36.96%
Both to score (BTTS)
Yes
62.52%
No
37.48%
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 | 3.66% 27.34 | 7.21% 13.87 | 89.13% 1.12 |
| -1.5 | 10.87% 9.2 | — | 89.13% 1.12 |
| -1.0 | 10.87% 9.2 | 14.93% 6.7 | 74.21% 1.35 |
| -0.5 | 25.79% 3.88 | — | 74.21% 1.35 |
| 0 (PK) | 25.79% 3.88 | 22.07% 4.53 | 52.13% 1.92 |
| +0.5 | 47.87% 2.09 | — | 52.13% 1.92 |
| +1.0 | 47.87% 2.09 | 22.11% 4.52 | 30.03% 3.33 |
| +1.5 | 69.97% 1.43 | — | 30.03% 3.33 |
| +2.0 | 69.97% 1.43 | 15.81% 6.32 | 14.22% 7.03 |
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.