Application of markov chain in uno card game Kae Anne Y. Malong.. [et. al]

Thesis (Bachelor of Science in Mathematics) -- University of Rizal System-Morong.

EXECUTIVE SUMMARY: This study entitled APPLICATION OF MARKOV CHAIN IN UNO CARD GAME was conducted at the University of Rizal System Morong, Rizal during the academic year 2017-2018. The purpose of this study was to determine and analyze the control of each of the group of cards everytime the player would dump a card. The researchers used books, encyclopedia and information from internet to gather data about the use of Markov Chain and how Unp Card Game plays together with its rules. From the data gathered, the researchers were able to analyze the control of each of the group of cards everytime the player would dump a card. Moreover, in exploring the game of Uno the researchers provided a proof in which the results satisfied the properties of regular markov chain. Through these proofs, the researchers were able to justify the different that appeared after the process had been done. And from the analysis of findings, the researchers found out that the control of each group of cards everytime the player would dump a card can be determined using the process of Markov Chain. Thus, the researchers concluded that Markov Chain can be applied to analyze the game of Uno and help the players to choose what strategy they most preferred based on the appeared results.