Poisson Calculator

Expected Goals

Match Results

Exact Score Probabilities

Team A Goals

Team B Goals

How to Use

Enter the average goals per game for each team to calculate the probability distribution for various match outcomes. This model assumes goals follow a Poisson distribution, which is commonly used in soccer/football analytics.

What Is the Poisson Distribution in Sports Betting?

The Poisson distribution is a statistical model commonly used in sports betting, particularly in soccer/football, to predict the number of goals or points scored in a match. It assumes that goals occur at a constant rate and independently of each other, which makes it suitable for modeling low-scoring events.

In mathematical terms, the Poisson distribution calculates the probability of a certain number of events (like goals) occurring in a fixed time period (like a match), given the average rate of occurrence. For example, if a team averages 1.5 goals per game, the Poisson distribution can tell you the probability of that team scoring exactly 0, 1, 2, 3, or more goals in a particular match.

While the Poisson model has limitations (it doesn't account for team form, injuries, weather, etc.), it provides a useful baseline for estimating match outcomes and can help identify value bets when your assessment differs from the bookmakers' odds.

Applications in Betting

  • Predicting the most likely scoreline in soccer/football matches
  • Calculating the probability of over/under total goals
  • Estimating win/draw/loss probabilities
  • Finding value in both match result and goals markets
  • Betting on correct score markets with a mathematical edge

Inputs

  • Team A Average Goals: The average number of goals Team A scores per game
  • Team B Average Goals: The average number of goals Team B scores per game

Outputs

  • Exact Score Probabilities: The probability of each team scoring 0-6 goals
  • Match Results: Probabilities for Team A win, Draw, Team B win
  • Over/Under: Probabilities for the total goals being over or under 2.5

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