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VEROVATNOĆA
PROBABILITY
Autor: MILICA MATORĈEVIĆ, III , Srednja škola, Grocka
2
Mentor: VESNA RAJŠIĆ, profesor matematike, Elektrotehniĉka škola „Nikola Tesla“,
REZIME
Teorija verovatnoće je matematiĉka disciplina koja izuĉava zakonitosti sluĉajnih pojava. Ona je polazna
osnova matematiĉke statistike i još mnogih drugih teorija u matematici. Osim u matematici ona ima i veliku
primenu i u drugim nauĉnim oblastima. Verovatnoća se najĉešće koristi za transformaciju praktiĉnih
problema u teorijske, radi lakšeg rešavanja problema. TakoĊe verovatnoća se koristi i za opisivanje sloţenih
sistema na osnovu poznavanja samo njihovog delimiĉnog stanja.
Interesovanje za verovatnoću potiĉe iz više razloga, ali najviše interesovanja budi zbog igri na sreću i
osiguravanja od rizika. Teorija verovatnoće se razvijala od XVII veka i najznaĉajniji za njen razvoj bili su
Blez Paskal i Ferma. Vremenom kako se ova oblast razvijala javio se veliki broj definicija verovatnoće, neke
od tih definicija biće teme ovog rada. U ovom radu ţelela sam da uvedem neke osnovne pojmove vezane za
teoriju verovatnoće i da vidim gde sve ona ima primenu.
Kljuĉne reĉi: verovatnoća, teorija verovatnoće, klasiĉna definicija verovatnoće, uslovna verovatnoća,
raspodela verovatnoće.
SUMMARY
Probability theory is a mathematical discipline that studies rules of random phenomenon. It is the
starting point of mathematical statistics and many other theories in mathematics. In addition, it has broad
application in other fields of science as well. Probability is commonly used for the transformation of
practical problems in to theory, to facilitate problem solving. Also the probability is used to describe a
complex system based on partial knowledge of the sistem.
Interest in the probability comes from nomerous reasons, but it turns out to be the most interesting when
it comes to games of chance and risk insurance. Probability theory has been developed since the seventeenth
century and the most important for its development were Blaise Pascal and Fermat. Overtime, as this area
developed there arose a large number of definitions of probability. Some of these definitions will be topics of
this paper. In this paper, I wanted to introduce some basic concepts related to probability theory and find out
where it can be applied.
Key words: probability,probability theory, the classic definition of probability, conditional probability,
distribution of probability.