Contains in a minimum volume theoretical material on the elements of probability theory, necessary for teaching students how to solve problems in this discipline. Examples of solving typical problems and tasks for independent solution with answers for each of the chapters are given. At the end of the manual, the option of test work and the conditions of tasks for a standard calculation are described. Intended for students of non-mathematical specialties. It can be useful for both teachers in the elements of probability theory and students to study the subject on their own.