Expected Number of Vertices of a Hypercube Slice
classification
🧮 math.PR
math.MG
keywords
hypercubeexpectednumberrandomverticesanswercross-sectiondimension
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Given a random k-dimensional cross-section of a hypercube, what is its expected number of vertices? We show that, for a suitable distribution of random slices, the answer is $2^k$, independent of the dimension of the hypercube.
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