Does this count as a Monte Carlo simulation?

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Let's say I have a group of robots that walk on a 11x11 grid of tiles in four directions, N, S, E, W, and each robot has different probability distribution functions that assign different probabilities to each of the four outcomes per move.

If I want to know how many moves it will take on average for each robot to exit the grid and also how often on average it will exit on a particular side (N S E W), and so I run a simulation for 1000s of iterations for each robot to determine mean averages, does this count as a Monte Carlo simulation?