Sports and Mathematics

For modelling of sports game, prediction results of two teams match and creation a bookmakers line may use a mathematical statistics methods and random variables. Particularly football and hockey goals well fit Poisson distribution (quantity of goals) and Skellam distribution (difference of goals), for baseball - Negative Binomial distribution, but for handball and basketball - Normal distribution (quantity and difference of goals / points).

Poisson Distribution - graphs of probability density

Skellam Distribution - graphs of probability density

Normal (Gauss) Distribution - graphs of probability density