A method for calculating probability of scores for men?s team competition in artistic gymnastics

In this paper, we propose a method for calculating probability of scores for men´s team competition in artistic gymnastics. We here assume each gymnast´s score as a normal distribution and provide a mathematical formulation for 6-5-4 format in the team competition. By setting the different mean and standard deviation (SD) of the normal distribution, we calculate the distributions of the team score, and obtain the relationship between the mean and SD of each gymnast and the expected number of the team score. We demonstrate an application of this method in the selection of five gymnasts to compete in each event.