Construction of algorithms of actions using schemes when solving problems of finding the probability of a random event using combinatorics

The article identifies potential problem areas in the field of probability theory and combinatorics, proposes action algorithms with the active use of step-by-step instructions and diagrams. The study determines the need to study examples with visualization of the structure of the choice of formulas for calculating the desired parameters. The ability to identify typical errors in working with data, rank factors by the degree of influence on the economic process, select an action algorithm are formed in the process of solving probability theory problems. It is determined that errors in solving probability problems can be eliminated by systematizing the apparatus of combinatorics. It is noted that the construction of action schemes helps to identify similarities and differences in the choice of combinatorics formulas for calculating the probability of a random event. This process is the basis for developing the ability to find commonalities and differences in economic processes. In the course of studying the process of constructing action algorithms using schemes for finding the probability of a random event using combinatorics, a set of tasks was developed to help find the probability of a random event. The action algorithms proposed in the study are aimed at overcoming standard errors that arise when solving probability problems. The use of diagrams, drawings, visual images, visualization of action algorithms, comparative analysis of examples allows more effective solution of problems of finding probabilities of a random event using combinatorics. Forecasting economic processes using the apparatus of combinatorics will allow influencing their course, controlling, limiting the scope of randomness, and the ability to find the optimal scheme of actions will ensure rational decision-making in the field of economics.