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Basic Principles of Combinatorics in Probability Theory
Mirna Mikić (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group
Cite this document

Mikić, M. (2019). Osnovni principi kombinatorike u teoriji vjerojatnosti (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:025126

Mikić, Mirna. "Osnovni principi kombinatorike u teoriji vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:025126

Mikić, Mirna. "Osnovni principi kombinatorike u teoriji vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:025126

Mikić, M. (2019). 'Osnovni principi kombinatorike u teoriji vjerojatnosti', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 26 January 2020, https://urn.nsk.hr/urn:nbn:hr:126:025126

Mikić M. Osnovni principi kombinatorike u teoriji vjerojatnosti [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2020 January 26] Available at: https://urn.nsk.hr/urn:nbn:hr:126:025126

M. Mikić, "Osnovni principi kombinatorike u teoriji vjerojatnosti", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:025126

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Metadata
TitleOsnovni principi kombinatorike u teoriji vjerojatnosti
Title (english)Basic Principles of Combinatorics in Probability Theory
AuthorMirna Mikić
MentorDragana Jankov Maširević (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberDragana Jankov Maširević (član povjerenstva)
Committee memberSuzana Miodragović (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Probability and Mathematical Statistics Research Group)
Osijek
Defense date and country2019-09-17, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
U ovom diplomskom radu opisujemo primjenu osnovnih principa kombinatorike u teoriji vjerojatnosti. U prvom poglavlju dan je povijesni pregled kombinatorike i teorije vjerojatnosti te su naznačeni samo neki od važnih matematičara koji su doprinijeli njihovom razvoju. Nadalje, u drugom poglavlju opisani su osnovni kombinatorni principi, te smo na raznim primjerima ilustrirali navedene definicije. Treće poglavlje donosi nam vjerojatnosni prostor, klasičnu definiciju vjerojatnosti, njena osnovna svojstva te uvjetnu vjerojatnost. Sve to bit će potrebno kako bismo u četvrtom poglavlju primijenili kombinatorne principe na vjerojatnosne probleme kroz niz različitih zanimljivih zadataka.
Abstract (english)
In this paper we describe the applications of the basic principles of the combinatorics in probability theory. The first chapter provides a historical overview of combinatorics and probability theory and outlines some of the important mathematicians who have contributed to its development. Furthermore, the second chapter describes the basic combinatorial principles and we applied given definitions to various examples. Chapter three brings us the probability space, the classical definition of probability, its basic properties and the conditional probability. All of this will be necessary in chapter four to apply combinatorial principles to probabilistic problems through a number of different interesting tasks.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:025126
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-09-19 06:14:45