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
30.32%
Fair Odds
3.3
Draw
24.08%
Fair Odds
4.15
Away Win
45.6%
Fair Odds
2.19
Most Likely Score
1 - 1
Probability 9.89%
Fair Odds 10.11
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 | 3.3 | — | |
| Draw | 4.15 | — | |
| Away Win | 2.19 | — |
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 | 9.89% | 10.11 |
| 2 | 1-2 | 9.05% | 11.05 |
| 3 | 2-1 | 7.32% | 13.66 |
| 4 | 2-2 | 6.7% | 14.93 |
| 5 | 0-1 | 6.68% | 14.96 |
| 6 | 0-2 | 6.11% | 16.35 |
| 7 | 1-3 | 5.52% | 18.12 |
| 8 | 1-0 | 5.4% | 18.5 |
| 9 | 2-3 | 4.08% | 24.48 |
| 10 | 2-0 | 4.0% | 25.0 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
3.65%
27.39
|
6.68%
14.96
|
6.11%
16.35
|
3.73%
26.81
|
1.71%
58.6
|
0.62%
160.13
|
| 1 |
5.4%
18.5
|
9.89%
10.11
|
9.05%
11.05
|
5.52%
18.12
|
2.53%
39.6
|
0.92%
108.19
|
| 2 |
4.0%
25.0
|
7.32%
13.66
|
6.7%
14.93
|
4.08%
24.48
|
1.87%
53.51
|
0.68%
146.2
|
| 3 |
1.97%
50.68
|
3.61%
27.7
|
3.3%
30.27
|
2.02%
49.62
|
0.92%
108.46
|
0.34%
296.38
|
| 4 |
0.73%
136.99
|
1.34%
74.86
|
1.22%
81.81
|
0.75%
134.12
|
0.34%
293.17
|
0.12%
800.64
|
| 5 |
0.22%
462.75
|
0.4%
252.91
|
0.36%
276.4
|
0.22%
453.1
|
0.1%
990.1
|
0.04%
2702.7
|
Any other score (6+ goals either side)
1.53%
·
Fair:
65.31
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 77.24% | 22.76% |
| 1.5 | 43.55% | 56.45% |
| 2.5 | 18.61% | 81.39% |
| 3.5 | 6.32% | 93.68% |
| 4.5 | 1.76% | 98.23% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 83.96% | 16.04% |
| 1.5 | 54.6% | 45.4% |
| 2.5 | 27.74% | 72.26% |
| 3.5 | 11.36% | 88.64% |
| 4.5 | 3.86% | 96.14% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 3.65% | 27.39 |
| 1 | 12.09% | 8.27 |
| 2 | 20.00% | 5.00 |
| 3 | 22.07% | 4.53 |
| 4 | 18.26% | 5.48 |
| 5+ | 23.92% | 4.18 |
|
Over 2.5 64.26%
Under 2.5 35.74%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
30.32%
Draw
24.08%
Away Win
45.60%
Over / Under 2.5
Over 2.5
64.26%
Under 2.5
35.74%
Both to score (BTTS)
Yes
64.85%
No
35.15%
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 | 5.39% 18.55 | 9.08% 11.01 | 85.53% 1.17 |
| -1.5 | 14.47% 6.91 | — | 85.53% 1.17 |
| -1.0 | 14.47% 6.91 | 16.88% 5.92 | 68.65% 1.46 |
| -0.5 | 31.35% 3.19 | — | 68.65% 1.46 |
| 0 (PK) | 31.35% 3.19 | 22.63% 4.42 | 46.01% 2.17 |
| +0.5 | 53.99% 1.85 | — | 46.01% 2.17 |
| +1.0 | 53.99% 1.85 | 20.88% 4.79 | 25.14% 3.98 |
| +1.5 | 74.86% 1.34 | — | 25.14% 3.98 |
| +2.0 | 74.86% 1.34 | 13.88% 7.2 | 11.26% 8.88 |
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.