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Different Ways of Settings up Probability
Sanja Pešorda (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Computer Science Research Group
Cite this document

Pešorda, S. (2017). Razni načini zadavanja vjerojatnosti (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:577439

Pešorda, Sanja. "Razni načini zadavanja vjerojatnosti." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:577439

Pešorda, Sanja. "Razni načini zadavanja vjerojatnosti." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:577439

Pešorda, S. (2017). 'Razni načini zadavanja vjerojatnosti', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 January 2020, https://urn.nsk.hr/urn:nbn:hr:126:577439

Pešorda S. Razni načini zadavanja vjerojatnosti [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2020 January 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:577439

S. Pešorda, "Razni načini zadavanja vjerojatnosti", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:577439

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Metadata
TitleRazni načini zadavanja vjerojatnosti
Title (english)Different Ways of Settings up Probability
AuthorSanja Pešorda
MentorSlobodan Jelić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Computer Science Research Group)
Osijek
Defense date and country2017-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
Vjerojatnost se, kao jedna od grana matematike, uvelike primjenjuje u svakodnevici. Upravo zato u ovom radu želimo pobliže pojasniti što je to vjerojatnost i koja su njezina svojstva. Najprije ćemo krenuti od osnovnih pojmova i povijesnih definicija vjerojatnosti koji su nam potrebni za daljnje razumijevanje. Nadalje, aksiomatski ćemo definirati vjerojatnost, iskazati i dokazati njezina svojstva te ćemo se pozabaviti definicijom vjerojatnosti na diskretnom vjerojatnosnom prostoru kao i na skupu realnih brojeva, odnosno proučit ćemo problem geometrijske vjerojatnosti. Jedan od načina zadavanja vjerojatnosti je i uvjetna vjerojatnost, koja nam je od velikog značenja kada prilikom računanja vjerojatnosti nekog događaja imamo dodatnu informaciju da se neki od događaja već realizirao. Često ćemo se susresti i sa složenim pokusima kod kojih ćemo ishod prezentirati elementom Kartezijevog produkta. Stoga ćemo navesti još jedan od načina zadavanja vjerojatnosti i to na produktnim prostorima. U svrhu opravdanja povijesnog statističkog pristupa u zadnjem poglavlju iskoristit ćemo slabi zakon velikih brojeva.
Abstract (english)
Probability is a branch of mathematics and it is largely used in everyday life. That is why this paper strives to explain the notion of probability and all of its features. The paper will first deal with basic notions and historical definitions of probability which are needed to fully understand this notion. Furthermore, the paper will give an axiomatic definition of probability, point out and prove its features as well as deal with the definition of probability on a discrete probability space and on a set of real numbers. In other words, the paper will observe the problem of geometric probability. One of the ways of setting up probability problems is also the conditional probability, which is of great importance for calculating the probability of an event because it gives us the information if one event had already happened. One can often encounter complex experiments, whose outcome has to be presented using the Cartesian product. That is why the paper will also deal with the notion of probability on a product space. In order to justify the historical statistical approach, the last chapter will introduce the law of large numbers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:577439
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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-10-06 06:37:07