EFFECT OF PARAMETER VARIATIONS ON DYNAMICS OF PLINKO USING HIDDEN MARKOV MODEL

• Main Author: Irwan, Wilbert
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/55149
• Institution: Institut Teknologi Bandung

Plinko can be found in public places in the form of arcade machines. Plinko is a simple game that is very easy to play, players only choose one of the initial columns to drop the coin or chip into it. The coin or chip then goes through the pegs in each row in a random direction to the left or right until it reaches the column at the bottom row containing the prize won by the player. Each column at the bottom row contains different prizes, so this simple game is interest to be researched so that players can win the maximum prize from dropping coins into a certain initial column. In this study, the bounce of coins due to the collision of coin with the pegs can be calculated with the principle of inelastic collisions (partially elastic), which the kinetic energy is lost after the collision, then used to made a physical simulation. The probability of a coin in a particular prize column can also be calculated using the hidden Markov model method which is a diagram depicting the relationship between coin biases. The probability value which is the property of the hidden Markov model such as the probability of the coin's bias transition and the probability of the falling direction of the coin is varied and calculated for each prize column from the fall of a certain initial column. The results in the form of a graph of the distribution of coins in each prize column obtained from physical simulation and calculations with hidden Markov are analyzed. The distribution results of the coins from the two methods are also compared to the distribution results by calculating the binomial distribution where the distribution results are used as a reference from other research sources.