RISKy Business :
An In-Depth Look at the Game RISK
Abstract : Games have been of interest to mathematicians for many years because they
can be mathematical models of simple, real life situations. This paper will explore
various mathematical aspects of the game RISK. By using probability theory and Markov
chains, the following two questions will be answered: 1) What is the probability that if
you attack a territory, you will capture that territory? and 2) If you engage in war, what
is the expected number of losses based on the number of defending armies?