All the books are available in electronic form.
= available in
the university library
A BRIEF SYNOPSIS
(Each class lasted approximately 1.5 hours, unless specified otherwise;
tutorials are running separately)
Class 1 September 23, 2026
Organizational issues. The subject of probability and statistics. A brief
refresher of combinatorics (permutations, variations without and with
repetitions, combinations, binomial coefficients).
Inclusion-exclusion principle.
Class 2 September 30, 2026
Inclusion-exclusion principle (continuation, sketch of a proof).
Probabilistic terminology: sample space, event,
elementary event, examples. Definition of probability, examples.
Class 3 October 7, 2026
Inclusion-exclusion principle for probabilities. Relationship between different
inclusion-exlcusion principles. Conditional probability. Bayes' formula and its
generalization. Two independent events (equivalent definitions).
Class 4 October 14, 2026
Properties of independence of two events: behavior with respect to complement,
absence of transitivity. Independence of a set of events (equivalence of two
definitions). Discrete random variable, mass function, distribution function.
