Poisson Distribution Calculator: Predict Soccer Odds & Find Value

Poisson Distribution Tool

Compare your expectancy against bookmaker odds to find +EV bets.

Calculated Match Odds

*Fair Price represents 100% probability with no bookmaker margin. Compare this to actual odds to find value.

What is the Poisson Distribution?

The Poisson distribution is a mathematical concept used to predict the probability of a specific number of events occurring within a fixed timeframe. In the world of sports betting, it is the gold standard for converting team scoring averages into actionable betting odds.

Unlike simple averages, Poisson recognizes that goals are independent events. If a team averages 1.5 goals per game, they don’t score exactly 1.5 goals every time; instead, they might score 0, 1, 2, or 5. This tool calculates the exact likelihood of each of those scenarios.

The Poisson Formula for Betting

To determine the chance of a team scoring exactly x goals, we use the following formula:

• λ (Lambda): The average expected goals (the “rate of success”).
• x: The specific number of goals you are testing for (0, 1, 2…).
• e: Euler’s number (approx. 2.718).

How to Find a “Mathematical” Bet

This tool functions as an Odds Converter. To find a value bet, follow these steps:

1. Input Data: Enter the expected goals for both teams based on their attacking strength and the opponent’s defensive weakness.
2. Review Fair Odds: Look at the “Fair Price” column. This is what the odds should be if the bookmaker took no profit.
3. Compare: Visit your preferred betting site. If the bookmaker is offering odds higher than the Fair Price calculated here, you have found a positive expected value (+EV) bet.

Best Use Cases

While the Poisson Distribution is powerful, it works best for:

• Soccer (Association Football)
• Correct Score Markets
• Over/Under 2.5 Goals
• BTTS (Both Teams to Score)
• Hockey (NHL)
• Predicting Student Absences