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undergraduate thesis
Bertrandov paradoks
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. urn:nbn:hr:126:518603
Vidović, Robert
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Probability, Mathematical Statistics and Data Science Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Vidović, R. (2020). Bertrandov paradoks (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:518603

Vidović, Robert. "Bertrandov paradoks." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:518603

Vidović, Robert. "Bertrandov paradoks." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:518603

Vidović, R. (2020). 'Bertrandov paradoks', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 19 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:518603

Vidović R. Bertrandov paradoks [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2025 January 19] Available at: https://urn.nsk.hr/urn:nbn:hr:126:518603

R. Vidović, "Bertrandov paradoks", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:518603

Metadata
TitleBertrandov paradoks
Title (english)Bertrand's Paradox
AuthorRobert Vidović
MentorNenad Šuvak (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Probability, Mathematical Statistics and Data Science Research Group)
Osijek
Defense date and country2020-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
U ovom ćemo se radu baviti vjerojatnosnim problemom iz 19. stoljeća. Prvo ćemo proučiti povijesni razvoj vjerojatnosti i upoznati se s prilikama i vremenom u kojem je živio Joseph Louis Francois Bertrand. Zatim ćemo se pozabaviti nekim osnovnim vjerojatnosnim definicijama. Za razumjevanje Bertrandovog paradoksa će nam biti potrebne definicije pokusa, prostora elementarnih događaja i geometrijske vjerojatnosti. Vidjet ćemo da postoje različiti pristupi geometrijske vjerojatnosti koje ćemo upoznati i preko primjera. Detaljno ćemo proći kroz sve interpretacije Bertrandovog problema.
Abstract (english)
In this work, we will deal with the probability problem of the 19th century. We will first study the historical development of probability and become acquainted with the circumstances and times in which Joseph Louis Fran¸cois Bertrand lived. We will then learn some basic probability definitions. To understand Bertrand’s paradox we will need definitions of experiment, space of elementary events, and geometric probability. We will see that there are different approaches to geometric probability that we will get to know through examples as well. We will go through all the interpretations of Bertrand’s problem in detail.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:518603
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-11-06 11:04:46