The article deals with the problem of formation of knowledge, skills and abilities of students-mathematicians, necessary for preparation for teaching probabilistic and statistical direction in the course of school mathematics. The study is conducted by reviewing and highlighting the characteristics of tasks included in the list of mandatory tasks at school. An example of the implementation of this task is the preparation of a mandatory list of various probabilistic problems necessary for the training of future mathematics teachers. Special attention is paid to the tasks included in the unified state exam. As a result, it was proposed to systematize the knowledge of the probability theory course according to a certain plan necessary for successful completion of pedagogical practice and teaching this course at school.