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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

Introduction to Probability 1

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Code Completion Credits Range Language
01UP1 Z,ZK 3 1P+1C Czech
Garant předmětu:
Jan Vybíral
Lecturer:
Jan Vybíral
Tutor:
Jan Vybíral
Supervisor:
Department of Mathematics
Synopsis:

1.Random trial with finite set of possible results, classical probability, independent random events

2.Probability and combinatorics

3.Probability and geometry, Bertrand‘s paradox

4.Conditional probability, Bayes‘ theorem, medical diagnosis, Simpson‘s paradox

5.Random variable with discrete state space, its distribution and mean value

6.Problems involving the calculation of mean value

7.Probabilistic method in graph theory

8.Random algorithms, Morris algorithm and its variants

Requirements:
Syllabus of lectures:

1.Random trial with finite set of possible results, classical probability, independent random events

2.Probability and combinatorics

3.Probability and geometry, Bertrand‘s paradox

4.Conditional probability, Bayes‘ theorem, medical diagnosis, Simpson‘s paradox

5.Random variable with discrete state space, its distribution and mean value

6.Problems involving the calculation of mean value

7.Probabilistic method in graph theory

8.Random algorithms, Morris algorithm and its variants

Syllabus of tutorials:
Study Objective:
Study materials:

Key references:

[1] M. Aigner, G. M. Ziegler: Proofs from the book, Springer, 2018

[2] N. Alon, J. H. Spencer: The probabilistic method, Wiley-Interscience, 4. vydání, 2016

Recommended references:

[3] J. Bewersdorff : Luck, Logic, and White Lies: The Mathematics of Games, CRC Press, 2005

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-25
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