Keyword: «continuous two-dimensional random vector»

The paper deals with the method of the theme “Multivariate random variable” presentation in the course “Probability theory”. The paper is based on experience of teaching probability theory and it will be useful for both students and teachers for conducting practical classes. It lacks proof of theoretical facts, however, has a list of references that can be consulted for more detailed explanation. The work covers two examples: one for a discrete random vector, the other for a continuous random vector. These examples found the laws of distribution and main numerical characteristics studied in the course of probability theory. A structured approach to the material combining basic theoretical information and analysis of typical tasks will help students in independent and homework work.