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master's thesis
Paradoksi u elementarnoj teoriji vjerojatnosti
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:408552
Kovačević, Kristina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Kovačević, K. (2021). Paradoksi u elementarnoj teoriji vjerojatnosti (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:408552

Kovačević, Kristina. "Paradoksi u elementarnoj teoriji vjerojatnosti." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:408552

Kovačević, Kristina. "Paradoksi u elementarnoj teoriji vjerojatnosti." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:408552

Kovačević, K. (2021). 'Paradoksi u elementarnoj teoriji vjerojatnosti', Master's thesis, University of Zagreb, Faculty of Science, accessed 02 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:408552

Kovačević K. Paradoksi u elementarnoj teoriji vjerojatnosti [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 December 02] Available at: https://urn.nsk.hr/urn:nbn:hr:217:408552

K. Kovačević, "Paradoksi u elementarnoj teoriji vjerojatnosti", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:408552

Metadata
TitleParadoksi u elementarnoj teoriji vjerojatnosti
Title (english)Paradoxes in elementary probability theory
AuthorKristina Kovačević
MentorVjekoslav Kovač (mentor)
Committee memberVjekoslav Kovač (predsjednik povjerenstva)
Committee memberMarko Radulović (član povjerenstva)
Committee memberIgor Ciganović (član povjerenstva)
Committee memberPavle Pandžić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu odabrano je i opisano nekoliko poznatih i zanimljivih vjerojatnosnih paradoksa: Monty Hall i njemu slični paradoksi, paradoks intranzitivnih kocaka, Bertrandov paradoks geometrijske vjerojatnosti, popularni rođendanski paradoks prikladan za primjenu u školskoj matematici te problem dviju omotnica kod kojeg paradoks leži u sugeriranom objašnjenju. Na samom kraju obrađen je Sankt-Peterburški paradoks za koji se rješenja predlažu zadnjih 300 godina, a neki prijedlozi rješenja imali su važan utjecaj na razvoj ekonomije. Pojava raznih paradoksa i rasprava o njihovim mogućim rješenjima tijekom korespondencije matematičara u razdoblju renesanse postavile su temelje suvremene teorije vjerojatnosti. Neki od paradoksa potaknuli su razvoj interdisciplinarnih znanosti i time omogućili napredak područja koja nisu usko vezana samo uz matematiku. Ti rezultati imaju utjecaj na vrijeme u kojemu živimo, a s obzirom da neki još nisu definitivno razrješeni, zasigurno će nastaviti svoj utjecaj i na vremena koja tek dolaze.
Abstract (english)
In this thesis, several well known and interesting paradox are selected and described: the Monty Hall and similar paradoxes, intransitive dice paradox, Bertrand’s paradox on geometric probability, the popular birthday problem, suitable for implementation in school mathematics, and the two envelopes problem, where the paradox lies in a possible misleading explanation. At the very end, the thesis studies the Saint Petersburg paradox, which has been discussed for the last 300 years and some proposed solutions had an important impact on the development of the economics. The emergence of various paradoxes and discussions of their possible solutions during the correspondence of mathematicians in the Renaissance period laid the foundations of modern probability theory. Some of the paradoxes have spurred the development of interdisciplinary sciences and thus enabled the advancement of areas that are not closely related to mathematics alone. These results have an impact on the times we are living in, but since some have not yet been fully resolved, they will certainly continue to have an impact on the times yet to come.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:408552
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-10-28 11:04:56