Although the dice layout is completely random, it is addicting because much of the game involved strategy of placement. New armies are awarded after each turned based on the largest connected set of game territories your armies control. As with Risk, you roll one die for each army and the sum of the faces for all N attacking dice is compared to the sum of the faces for all M defending dice with defenders winning the tie. Some quick R code can be used to compute the probabilities of winning a given attack given N attacking armies and M defending armies. The left column represents the number of attacking dice and the first row represents the number of defending dice. Each cell represents the probability of a successful attack given M vs N fair dice.