All the books are available in electronic form in multiple places.
= available in
the university library
A BRIEF SYNOPSIS
(Each class lasted approximately 1.5 hours; tutorials are running separately)
Class 1 September 23, 2025
Organizational issues. The subject of probability and statistics. A brief
refresher of combinatorics (permutations, variations without and with
repetitions, combinations, binomial coefficients).
Class 2 September 30, 2025
Inclusion-exclusion principle. Probabilistic terminology: sample space, event,
elementary event, examples. Definition of probability, examples.
Inclusion-exclusion principle for probabilities.
Class 3 October 7, 2025
Relationship between different inclusion-exlcusion principles. Conditional
probability. Bayes' formula and its generalization. Two independent events
(equivalent definitions).