Original title: Paradoxy v teorii pravděpodobnosti
Translated title: Paradoxes in Probability Theory
Authors: Rušin, Ján ; Haman, Jiří (advisor) ; Dostál, Petr (referee)
Document type: Bachelor's theses
Year: 2012
Language: slo
Abstract: [eng] [cze]
The Bachelor's thesis present an overview and description of selected probability theory paradoxes, namely the paradox of Monty Hall, the Bertrand's paradox and the St. Peterburg paradox. In every chapter the reader is at first apprised of the formulation and the essence of the paradox. Then we show some possible solutions of this paradox. In original formulation of Monty Hall paradox there exists just one solution which can be reached by using two different ways. We add also some simple modifications to this particular paradox. The formula- tion of Bertrand's paradox is ambiguous which we show by using four selected approaches. And very similar situation arises in St. Peterburg paradox which we resolve by using three different approaches. 1 Táto bakalárska práca sa zaoberá prehl'adom a popisom vybraných pa- radoxov z teórie pravdepodobnosti. Menovite uvedieme paradox Montyho Halla, Bertrandov paradox a Petrohradský paradox. Čitatel' je v každej kapitole najprv oboznámený so zadaním paradoxu a s jeho podstatou. Potom je k uvedenému paradoxu predvedených niekol'ko prístupov k jeho riešeniu. V pôvodnom zadaní Monty Hallovho paradoxu existuje len jedno riešenie, ku ktorému nás privedú dva rôzne postupy. Tento paradox doplníme tiež jednoduchými modifikáciami. Zada- nie Bertrandovho paradoxu je vo svojej podstate nejednoznačné, čo ukážeme na štyroch vybraných prístupoch. Podobná situácia sa vyskytne aj v Petrohradskom paradoxe, ktorý vyriešime tromi vybranými prístupmi. 1
Keywords: Bertrand's paradox; Monty Hall paradox; St. Peterburg paradox; utility function; Bertrandov paradox; Monty Hallov paradox; Petrohradský paradox; úžitková funkcia

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/40432

Permalink: http://www.nusl.cz/ntk/nusl-304737


The record appears in these collections:
Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses