Calculator for Over / Under Goals

Poisson Model

Stochastic modeling based on the discrete Poisson distribution for probabilistic forecasting of goal lines and exact scores.

Quick Scenarios:

Average Goals per Home Team

Average goals scored and allowed in home games.

Average Goals Per Game (Away)

Average goals scored and conceded in away games.

Home Expectation (λ) expected goals

Away Expectation (λ) expected goals

Total Expectation (λ) combined goals

Market Lines & Fair Odds

Stochastic Poisson Model

Market Line	Prob. Over	Odd, Even, Over	Prob. Under	Odd Justa Under	Predominant Metric

Correct Scores Matrix (Poisson 6x6)

Home \ Away	0 Goals	1 Goal	2 Goals	3 Goals	4 Goals	5+ Goals

Statistical Rationale of Poisson Distribution in Soccer

A Poisson Distribution It is a stochastic model widely used in sports data analysis to calculate the probability that a specific number of discrete events (goals) will occur within a fixed time frame (a 90-minute game).

In soccer, it is assumed that goals occur relatively independently of one another. The fundamental mathematical formula is expressed as:

P(x; λ) = (e^-λ · λ^x) / x!

Onde λ (Lambda) represents the expected goals per team, estimated based on defensive and offensive performance history.

💡 Recommendations for Variable Analysis

1. Time Frame: Calculate the average number of goals scored in the last 5 to 10 games, specifically for home and away games.
2. Master Line (Over 2.5): The 2.5-goal line is the global market standard. Odds above 60% indicate a high degree of statistical alignment.
3. Fair Odds: Compare the Fair Odds generated by the calculator with the odds offered by bookmakers to find value discrepancies.

Frequently Asked Questions (Analytics FAQ)

The line of Over 2.5 Goals It establishes the statistical threshold indicating that the game will have 3 or more goals. It is the benchmark for liquidity in global sports markets.

The True Odds are the inverse of the theoretical statistical probability ($1 / P$). They indicate the exact odds without the commission margin (juice) built in by bookmakers.

BTTS (Both Teams To Score) measures the probability of both teams scoring at least one goal in the match. In Poisson's formula, it is calculated by $(1 - P_{Home}(0)) \times (1 - P_{Away}(0))$.

It is recommended to use the sum of the average goals scored and allowed in the last 6 to 10 home games. For example, if the home team has scored 14 goals and conceded 10 goals in 8 home games, its average is $(14+10)/8 = 3.00$.