How to do Monte Carlo Method for exceedingly large numbers?

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For a paper I'm writing for my math class, I need to do several Monte Carlo simulations for a game I'm playing. The $p=0.6190411273$, a normal number... but the $n=2.14974(10^{10})$. I've tried to run a simple Monte Carlo simulation on my TI-84, but it flat-out refuses to do a simulation that big. Does anyone know how I would go about doing a Monte Carlo simulation for such a large number of trials?