Poisson football calculator: xG, score, match chance
Poisson calculator for betting / sports
How bookmakers set odds: Poisson + xG — this page helps you model that.
Uses Poisson (Wikipedia, EN).
Enter home/away xG: view odds or plain probabilities.
Improved football-tuned model: nudged draws & favorites vs plain Poisson.
Enter xG
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Match odds & output
| Result | Double | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
|
Total
|
Over (0.5)
97.18%
|
Under (0.5)
2.82%
|
|
Over (1)
97.18%
|
Under (1)
2.82%
|
|
Over (1.5)
87.13%
|
Under (1.5)
12.87%
|
|
Over (2)
87.13%
|
Under (2)
12.87%
|
|
Over (2.5)
69.19%
|
Under (2.5)
30.81%
|
|
Over (3)
69.19%
|
Under (3)
30.81%
|
|
Over (3.5)
47.84%
|
Under (3.5)
52.16%
|
|
Over (4)
47.84%
|
Under (4)
52.16%
|
|
Over (4.5)
28.78%
|
Under (4.5)
71.22%
|
Handicap
|
Home (-2)
8.17%
|
Away (+2)
80.68%
|
|
Home (-1.5)
19.32%
|
Away (+1.5)
80.68%
|
|
Home (-1)
19.32%
|
Away (+1)
62.43%
|
|
Home (-0.5)
37.57%
|
Away (+0.5)
62.43%
|
|
Home (+0)
37.57%
|
Away (-0)
40.41%
|
|
Home (+0.5)
59.59%
|
Away (-0.5)
40.41%
|
|
Home (+1)
59.59%
|
Away (-1)
21.44%
|
|
Home (+1.5)
78.56%
|
Away (-1.5)
21.44%
|
|
Home (+2)
78.56%
|
Away (-2)
9.38%
|
Both to score (BTTS) (BTTS)
|
Yes
69.24%
|
No
30.76%
|
Home team total (OU)
|
Over (0.5)
82.62%
|
Under (0.5)
17.38%
|
|
Over (1)
82.62%
|
Under (1)
17.38%
|
|
Over (1.5)
52.21%
|
Under (1.5)
47.79%
|
|
Over (2)
52.21%
|
Under (2)
47.79%
|
|
Over (2.5)
25.6%
|
Under (2.5)
74.4%
|
|
Over (3)
25.6%
|
Under (3)
74.4%
|
|
Over (3.5)
10.08%
|
Under (3.5)
89.92%
|
|
Over (4)
10.08%
|
Under (4)
89.92%
|
|
Over (4.5)
3.29%
|
Under (4.5)
96.71%
|
Away team total (OU)
|
Over (0.5)
83.8%
|
Under (0.5)
16.2%
|
|
Over (1)
83.8%
|
Under (1)
16.2%
|
|
Over (1.5)
54.31%
|
Under (1.5)
45.69%
|
|
Over (2)
54.31%
|
Under (2)
45.69%
|
|
Over (2.5)
27.47%
|
Under (2.5)
72.53%
|
|
Over (3)
27.47%
|
Under (3)
72.53%
|
|
Over (3.5)
11.19%
|
Under (3.5)
88.81%
|
|
Over (4)
11.19%
|
Under (4)
88.81%
|
|
Over (4.5)
3.79%
|
Under (4.5)
96.21%
|
How this Poisson calculator works
It uses the following inputs:
- Home xG
- Away xG
From these it calculates:
- Prob. of each exact score
- Win / draw / win (1X2) probs
- Over/under goal probabilities
- BTTS (both to score) probabilities
All values use the Poisson PMF (Wikipedia, EN).
How to use the Poisson calculator
- Enter the home xG
- Enter the away xG
- Click Calculate (or use live update)
- Review match & market chances
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.
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
Best: blend with Elo/strength, home edge, and form
Still, Poisson is a core building block in sports & stats work
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.
