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Expected Empty Bins in Portfolio Allocation

Medium · Probability & Statistics · Quant Trader interview question · probability, expected-value, portfolio-allocation, approximation

You are building a portfolio by randomly allocating capital to $n$ different assets. Each asset has an equal chance of receiving a portion of your capital. Assume you allocate $n$ equal-sized blocks of capital to these assets. What is the approximate expected number of assets that will receive no capital allocation?