Even door problem

Abstract

There are several methods of π estimation. In this research, we adjusted some conditions base on the research of Alberto Zorzi [1]. The number of doors has been changed into an even number as well as increased the number of cars. Due to this adjustment, the winning probability of the player will be double when the number of doors is even and there are two cars hidden inside, compare with the situation that the number of doors is even and there is one car hidden inside. If the number of doors is even and there are 3 cars or more, we will not be able to play this game with the same strategy anymore. Moreover, this research demonstrates the relationship between the probabilities to win the game with the value of π that is the player can estimate the value of π by playing game repeatedly with the best strategy. © 2017, Khon Kaen University,Research and Technology Transfer Affairs Division. All rights reserved.