The article presents the results of the analysis of the distribution of individuals in a modified genetic algorithm for solving function optimization problems. In the proposed modification of the genetic algorithm, we use the fuzzy logic controller (FLC). The authors proposed the FLC, which estimates all individuals in the population and modifies the probability of the selection to the parents’ pool and the probability of the mutation of their genes. In the article we present the results of the analysis of the distribution of individuals in all generations of the algorithm. We compared the results of the elementary algorithm and the algorithm with the adaptation of the selection and mutation probabilities. The new algorithm has been tested on a number of sophisticated functions with satisfactory results.