Fundamentals of probability theory. What the Mathematics student should know

Probability theory is an exciting area of ​​mathematics, moreover, its knowledge is necessary for understanding statistics. This book gives the introduction into the basic concepts of probabilistic thinking and reasoning in conditions of uncertainty, illustrated by many examples. All fundamental aspects of the basics of probability theory are considered - conditional and Bayes probability, application of Poisson distribution to real life situations and the interaction between probability theory and computer modeling. The main attention is paid to discrete probability, but issues related to continuous distributions of probabilities are also addressed. The best way to study the theory of probabilities is to solve many problems. The book provides many instructive tasks and strategies for their solutions, answers to all exercises and detailed decisions of some are given to increase students" confidence in solving probabilistic problems and stimulate active independent training