24 August 2016

# Introduction to Probability Theory

Structure of the course

The course lasts three full days. Each day consists of one two-hour lecture in the morning during which the theory is thoroughly presented to the students, and a two-hour tutorial meeting late in the afternoon during which the students go through exercises and the corresponding literature together with the tutor. In between the lecture and the tutorial meeting the students are expected to have tried to solve a set of exercises themselves.

Topics

Each topic corresponds to one full day of teaching:

1. Preliminaries on probability theory

Sample space; events; axioms of probability; interpretations of probability

2. Conditional probability and independence

Conditional probability; Bayes law; independent events

3. Random variable and expectation

Random variable; expected value; independent random variables; conditional expectation

Textbook: A first course in probability, by Sheldon Ross, Pearson, 8th Edition.

### Course leader

Dr. Elias Tsakas

### Course aim

This is a crash course aiming at introducing the very basic concepts of probability theory, such as expectation and conditional probability. These tools are absolutely central in any economics, statistics, econometrics or game theory course.

### Fee info

**EUR 250**: Course plus course materials

### Scholarships

Not available.