Application of markov chain in playing dominoes

Thesis Bachelor of Science in Mathematics University of Rizal System-Morong 2019

EXECUTIVE SUMMARY: The purpose of this study was to determine and analyse the control percentage of the group of tiles every time the player would dump a tile. The researchers used books and information from internet to gather data about the use of Markov Chain and how the Domino Game Plays together. From the data gathered, the researchers were able to analyse the control percentage of each of the group of tile every time the players would dump a tile. In exploring the game of Domino 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 results that appeared after the process had been done and from the analysis of findings, the researchers found out that the control percentage of each of the group tile every time the players would dump a tile can be determined using the process of Markov Chain. The researchers concluded that Markov Chain can be applied to analyse the game of Domino and help the players to choose what strategy they most preferred based on the appeared result.