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Cake day: July 20th, 2025

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  • Monte Carlo methods are where you use randomness to simulate complex problems that are hard to model exactly.

    As a simple case let’s say you didn’t konw the value of π, but you were able to generate random numbers really quickly. If you make a square of side d, draw a circle inside, and then randomly place points in the square, then you can calculate π = percent in circle.

    A more complex use would be apply the same idea to things like modelling wild fires. If you could generate tons of plausible scenarios then you can determine the most likely routes a forest fire will take.

    These methods are used a lot in epidemiology, nuclear physics, astrolonomy, etc.