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
41.41%
Fair Odds
2.41
Draw
29.96%
Fair Odds
3.34
Away Win
28.62%
Fair Odds
3.49
Most Likely Score
1 - 1
Probability 13.17%
Fair Odds 7.59
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 | 2.41 | — | |
| Draw | 3.34 | — | |
| Away Win | 3.49 | — |
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 | 13.17% | 7.59 |
| 2 | 1-0 | 13.04% | 7.67 |
| 3 | 0-1 | 10.54% | 9.49 |
| 4 | 0-0 | 10.44% | 9.58 |
| 5 | 2-1 | 8.23% | 12.14 |
| 6 | 2-0 | 8.15% | 12.27 |
| 7 | 1-2 | 6.65% | 15.03 |
| 8 | 0-2 | 5.32% | 18.79 |
| 9 | 2-2 | 4.16% | 24.05 |
| 10 | 3-1 | 3.43% | 29.15 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
10.44%
9.58
|
10.54%
9.49
|
5.32%
18.79
|
1.79%
55.81
|
0.45%
221.04
|
0.09%
1094.09
|
| 1 |
13.04%
7.67
|
13.17%
7.59
|
6.65%
15.03
|
2.24%
44.65
|
0.57%
176.8
|
0.11%
875.66
|
| 2 |
8.15%
12.27
|
8.23%
12.14
|
4.16%
24.05
|
1.4%
71.43
|
0.35%
282.89
|
0.07%
1400.56
|
| 3 |
3.4%
29.44
|
3.43%
29.15
|
1.73%
57.72
|
0.58%
171.44
|
0.15%
678.89
|
0.03%
3355.7
|
| 4 |
1.06%
94.21
|
1.07%
93.27
|
0.54%
184.71
|
0.18%
548.55
|
0.05%
2173.91
|
0.01%
10752.69
|
| 5 |
0.27%
376.79
|
0.27%
373.13
|
0.14%
738.55
|
0.05%
2192.98
|
0.01%
8695.65
|
0.0%
43478.26
|
Any other score (6+ goals either side)
0.25%
·
Fair:
406.17
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 71.35% | 28.65% |
| 1.5 | 35.54% | 64.46% |
| 2.5 | 13.15% | 86.85% |
| 3.5 | 3.83% | 96.17% |
| 4.5 | 0.91% | 99.09% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 63.58% | 36.42% |
| 1.5 | 26.79% | 73.21% |
| 2.5 | 8.21% | 91.79% |
| 3.5 | 1.96% | 98.04% |
| 4.5 | 0.38% | 99.62% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 10.44% | 9.58 |
| 1 | 23.58% | 4.24 |
| 2 | 26.65% | 3.75 |
| 3 | 20.08% | 4.98 |
| 4 | 11.34% | 8.82 |
| 5+ | 7.91% | 12.64 |
|
Over 2.5 39.33%
Under 2.5 60.67%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
41.41%
Draw
29.96%
Away Win
28.62%
Over / Under 2.5
Over 2.5
39.33%
Under 2.5
60.67%
Both to score (BTTS)
Yes
45.36%
No
54.64%
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 | 6.38% 15.67 | 12.17% 8.22 | 81.45% 1.23 |
| -1.5 | 18.55% 5.39 | — | 81.45% 1.23 |
| -1.0 | 18.55% 5.39 | 23.2% 4.31 | 58.24% 1.72 |
| -0.5 | 41.76% 2.39 | — | 58.24% 1.72 |
| 0 (PK) | 41.76% 2.39 | 28.4% 3.52 | 29.84% 3.35 |
| +0.5 | 70.16% 1.43 | — | 29.84% 3.35 |
| +1.0 | 70.16% 1.43 | 18.75% 5.33 | 11.09% 9.01 |
| +1.5 | 88.91% 1.12 | — | 11.09% 9.01 |
| +2.0 | 88.91% 1.12 | 7.95% 12.58 | 3.15% 31.77 |
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.