Book 1828 Probability Theory and Mathematical Statistics: Section. 1: Probability theory: learning. -method. Karasev V . A. and Bogdanov S . N. is a unique and in-depth study in the field of probability theory, which will become an indispensable assistant for students, graduate students and anyone interested in mathematical sciences. This manual not only covers the basic concepts and principles of probability theory, but also offers the reader practical methods and approaches that will help to better understand and apply this knowledge in real life. The book begins with the basics, gradually introducing the reader to the world of probabilistic models and statistical methods. The authors pay special attention to the intuitive understanding of probability, which makes the material available even to those who do not have deep knowledge in mathematics. Each section is accompanied by examples and tasks, which allows the reader not only to learn the theory, but also to consolidate it in practice. This makes the manual ideal for students studying mathematics, statistics, economics and related disciplines. The topics raised in the book cover a wide range of issues, from the simplest probabilistic events to complex distributions and their applications. The authors consider both classical approaches and modern methods, which makes the manual relevant and useful for anyone who wants to be aware of the latest achievements in the field of probability theory. It is important to note that the book is not just a set of formulas and theorems, but also offers the reader the opportunity to develop critical thinking by analyzing various situations and making decisions based on probabilistic analysis. Who can like this tutorial? First of all, it will be useful for students and teachers of mathematical and statistical disciplines, as well as for everyone who seeks to expand their knowledge in the field of data analysis and decision-making . If you are passionate about mathematics, statistics, economics or even sociology, this guide will become a real storehouse of knowledge for you. It will also be of interest to those working in research or business, where data-driven decision-making is becoming increasingly relevant. The style of the authors is distinguished by clarity and accessibility of the presentation, which makes the material easy to perceive. Karasev and Bogdanov use many illustrations and graphs to visualize complex concepts, which helps the reader better absorb information. This manual can be compared with other well-known works in the field of probability theory, such as "Probability and Statistics" by William Feller or "