In the conditions of technological progress and rapid development of information technologies, it is very challenging to prepare specialists in the field of information and communication technologies who would fully possess the knowledge and skills to work with the diverse range of instrumental and software tools and equipment used in the field. This is due to the continuous improvement and updating of programming languages, frameworks, software environments, shells, and hardware. One of the ways to address this issue is through computer-based educational programs, allowing the individualization of the learning process while preserving it’s quality. Currently, there is a large number of computer-based educational programs used in the study of various disciplines. This paper presents the design of a computer-based educational program on the subject "Fundamentals of Computer Modeling," which enables the modeling of random patterns of various natures, ranging from random events to random streams. The educational program consists of three modules, which include a theoretical part on methods of modeling random patterns, testing after each topic, and a calculator for all modeling methods. In each modeling method, you can input any initial data, such as the number of trials, probabilities of events, functions, and parameters of distribution laws. The results of modeling random patterns can be saved as a file. The program interface is available in three languages: Russian, English, and Kazakh. The currently developing educational program aims to improve the learning process in the "Fundamentals of Computer Modeling" discipline and allows learners to study it independently without any interventions from a professor.