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master's thesis
Neke primjene vjerojatnosti u igrama na sreću
2021. urn:nbn:hr:126:927537
Bosanac, Maja
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Bosanac, M. (2021). Neke primjene vjerojatnosti u igrama na sreću (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:927537

Bosanac, Maja. "Neke primjene vjerojatnosti u igrama na sreću." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:927537

Bosanac, Maja. "Neke primjene vjerojatnosti u igrama na sreću." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:927537

Bosanac, M. (2021). 'Neke primjene vjerojatnosti u igrama na sreću', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 25 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:927537

Bosanac M. Neke primjene vjerojatnosti u igrama na sreću [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 December 25] Available at: https://urn.nsk.hr/urn:nbn:hr:126:927537

M. Bosanac, "Neke primjene vjerojatnosti u igrama na sreću", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:927537

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Metadata
TitleNeke primjene vjerojatnosti u igrama na sreću
Title (english)Some Applications of Probability in Games of Chance
AuthorMaja Bosanac
MentorDanijel Grahovac (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberMirta Benšić (član povjerenstva)
Committee memberIvan Papić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2021-10-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
Igre na sreću su sve popularnije u današnje vrijeme, a opće je poznato da je u pozadini tih igara teorija vjerojatnosti. U prvom dijelu rada upoznali smo se s teorijom igara na sreću, vidjeli primjenu teorije korisnosti i odlučivanja u tim igrama te naveli osnovne teoreme. Definirali smo i neke sisteme klađenja, primjerice martingalna strategija i Kellyjev sistem, koji nam sugeriraju koliki iznos trebamo uložiti u igru. U drugom dijelu rada smo naveli neke igre na sreću kao što su Blackjack, Baccarat, Backgammon i Tko želi biti milijunaš?. Naveli smo njihove optimalne strategije, a u nekima smo na primjerima igre vidjeli primjenu sistema klađenja. Pokazalo se da nisu svi sistemi klađenja profitabilni u svim igrama, neki nose veći dobitak od drugih.
Abstract (english)
Games of chance are becoming increasingly popular, and it is common knowledge that the probability theory is behind these games. In the first part of the paper, gambling theory was introduced, the application of decision making theory and utility in these games was shown, and basic theorems are listed. Also, we defined some betting systems, such as the Martingale strategy and Kelly’s system, which suggest the optimal amount to invest in the game. In the second part of the paper, we listed some games of chance, such as Blackjack, Baccarat, Backgammon and Who Wants to Be a Millionaire? and their optimal strategies. Also, we concluded that not all betting systems are profitable in every game.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:927537
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-10-25 11:27:20