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
36.94%
Fair Odds
2.71
Draw
30.37%
Fair Odds
3.29
Away Win
32.69%
Fair Odds
3.06
Most Likely Score
1 - 1
Probability 13.34%
Fair Odds 7.49
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 | 2.71 | — | |
| Draw | 3.29 | — | |
| Away Win | 3.06 | — |
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 | 13.34% | 7.49 |
| 2 | 1-0 | 12.24% | 8.17 |
| 3 | 0-1 | 11.6% | 8.62 |
| 4 | 0-0 | 10.65% | 9.39 |
| 5 | 2-1 | 7.67% | 13.03 |
| 6 | 1-2 | 7.27% | 13.75 |
| 7 | 2-0 | 7.04% | 14.21 |
| 8 | 0-2 | 6.32% | 15.81 |
| 9 | 2-2 | 4.18% | 23.91 |
| 10 | 3-1 | 2.94% | 34.0 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
10.65%
9.39
|
11.6%
8.62
|
6.32%
15.81
|
2.3%
43.52
|
0.63%
159.72
|
0.14%
732.6
|
| 1 |
12.24%
8.17
|
13.34%
7.49
|
7.27%
13.75
|
2.64%
37.84
|
0.72%
138.87
|
0.16%
636.94
|
| 2 |
7.04%
14.21
|
7.67%
13.03
|
4.18%
23.91
|
1.52%
65.82
|
0.41%
241.55
|
0.09%
1107.42
|
| 3 |
2.7%
37.06
|
2.94%
34.0
|
1.6%
62.38
|
0.58%
171.7
|
0.16%
630.12
|
0.03%
2890.17
|
| 4 |
0.78%
128.9
|
0.85%
118.26
|
0.46%
216.97
|
0.17%
597.01
|
0.05%
2192.98
|
0.01%
10101.01
|
| 5 |
0.18%
560.54
|
0.19%
514.14
|
0.11%
943.4
|
0.04%
2597.4
|
0.01%
9523.81
|
0.0%
43478.26
|
Any other score (6+ goals either side)
0.21%
·
Fair:
468.38
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 68.34% | 31.66% |
| 1.5 | 31.92% | 68.08% |
| 2.5 | 10.99% | 89.01% |
| 3.5 | 2.96% | 97.04% |
| 4.5 | 0.65% | 99.35% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 66.38% | 33.62% |
| 1.5 | 29.73% | 70.27% |
| 2.5 | 9.76% | 90.24% |
| 3.5 | 2.5% | 97.5% |
| 4.5 | 0.52% | 99.48% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 10.65% | 9.39 |
| 1 | 23.85% | 4.19 |
| 2 | 26.71% | 3.74 |
| 3 | 19.94% | 5.01 |
| 4 | 11.17% | 8.95 |
| 5+ | 7.69% | 13.01 |
|
Over 2.5 38.8%
Under 2.5 61.2%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
36.94%
Draw
30.37%
Away Win
32.69%
Over / Under 2.5
Over 2.5
38.8%
Under 2.5
61.2%
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 | 4.92% 20.34 | 10.48% 9.54 | 84.6% 1.18 |
| -1.5 | 15.4% 6.49 | — | 84.6% 1.18 |
| -1.0 | 15.4% 6.49 | 21.7% 4.61 | 62.9% 1.59 |
| -0.5 | 37.1% 2.7 | — | 62.9% 1.59 |
| 0 (PK) | 37.1% 2.7 | 28.8% 3.47 | 34.1% 2.93 |
| +0.5 | 65.9% 1.52 | — | 34.1% 2.93 |
| +1.0 | 65.9% 1.52 | 20.57% 4.86 | 13.53% 7.39 |
| +1.5 | 86.47% 1.16 | — | 13.53% 7.39 |
| +2.0 | 86.47% 1.16 | 9.42% 10.62 | 4.12% 24.29 |
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.