I'm trying to understand a good way to calculate the probability of landing on each box of the Monopoly board. In Monopoly you can move both rolling dice and when extra events happen (e.g., chance/community chest cards).
Due to that heterogeneity of moving rules, I would like to simulate the game to calculate landing frequencies, but I have two issues about that:
- if I simulate a game with only one player it's the same of a simulation with $n$ players? (e.g., the usage of chance/community chest cards could depends on the number of players)
- Is the simulation a good way to tackle the problem? I mean: isn't there an approach better than mere computer simulation?