Hog Dice Game with Additional Rules

Abstract

Hog dice game is a popular game of dice, especially in the classroom starting to study probability. In this research, we studied the hog dice game with two additional rules. The first type is to add 20 extra points for the player that rolls all the dice to get the same number of dice in that round. We will call the game with this rule the same-faced hog dice game. Another variation is to add 20 extra points to the player whose sum of points on all dice is a prime number in that round. This game is called the hog dice game with prime sum. The research showed that both types of games have the same conclusion, that is, rolling 2 dice will give the player the highest expected value of the score in each round.