Print Friendly and PDF

Risk Board Game Battle Simulator

Ryan Roper -

These two models simulate different aspects of the classic board game Risk. In doing so, they also illustrate some key methods for simulating games of chance. One model (Risk Dice Strategy v1.3.gsm) addresses the probabilities of success for each type of battle roll (number of attacker's and defender's dice). This is actually a deterministic simulation of 10,000 independent rolls. The second model (Risk Battle Simulation v1.3.gsm) is a stochastic simulation of a battle, with only the number of attacker and defender armies, and the minimum number of armies that the attacker wants to have left when the battle is over (in order to effectively overtake the defender's country without getting spread too thin). The results are the attacker's probability of success, which depends, of course, on the roll of the dice.


John Tauxe (Neptune and Company)

Experience Level:


Download the Model File:


  • risk
  • game
  • chance
  • dice
Have more questions? Submit a request