Kumarbazın iflası probleminin bazı modelleri üzerine

ABSTRACTON GAMBLER?S RUIN PROBLEM IN SOME MODELSCiğdem SevimşgM.S. in MathematicsSupervisor: Assoc. Prof. Dr. Azer KerimovJuly, 20052-player probability games is an important subject of probability theory. In thisthesis, we considered four different two-player probability games. We calculatedthe expected value of stopping times of the games.Since the rules of the games are complicated and it is not possible to calcu-late all possible shuffles, we calculated the results using the Monte Carlo methodon a computer.We showed that the expected value of duration of the games are of the ordersquare of number of cards as we expected.Keywords: Probability Games, Random Numbers, Expected Duration, MonteCarlo Method.i