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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.
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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 …