Sports and Mathematics, distributions of random variables

For modelling of sports game, prediction results of two teams match and betting odds calculation may use methods of mathematical statistics and random variables. Particularly football and hockey goals well fit Poisson or Severyn 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