Objective of this thesis is to describe history of gambling, in a context of roulette to explain basic and advanced parts of probability theory which allow to the reader to decide about function of several popular roulette systems. There was mainly used expected value of discrete random variable, homogenous discrete-time Markov chain and simulations made in programming language R. Concrete output of the thesis are in precisely calculated expected values of a profit with fixed spins and with chosen limitation and corresponding estimations provided by simulation. On the basis of that it's possible to decide which systems are functional and which are not. Main contribution of this text is in didactical approach which helps to describe popular problematics of roulette systems by using basic and advanced areas of probability theory.

This thesis is studying the current global as well as Czech gambling industry with the focus on internet gambling activities. The work begins with the description of various gambling activities. The focus is taken on the internet gambling activities with description of the specifics and the current European as well as US legal frame. Next part is dedicated to the psychology of gambling together with the pathological gambling addiction. In next part the thesis studies the current situation on the Czech market - history, main official legal providers as well as main grey market providers. Second part of the work is the case study of the launch of the internet lottery games by Fortuna Entertainment Group. This case study is based on a desk research of previous successful best practices in the internet gambling industry from all around the world.