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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

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Probability estimates for "beans & boxes"

I'll agree with the other answers that it's easiest to approximate the bins as independent, but since the problem is discrete, it seems more natural to describe the number of beans in a bin by a binom …
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