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Mathematics, 25.02.2020 19:48 Aneesa2507

Let S and T be two disjoint subsets of size n > 1 of a finite universe U. Suppose we select a random subset R ⊆ U by independently including each element of U with probability p. We say that the sample is good if it contains an element of T but no element of S. Show that when p = 1/n, the probability our sample is good is larger than some positive constant (independent of n). You may use the fact that for all x, n ∈ R such that n ≥ 1 and |x| ≤ n,

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Let S and T be two disjoint subsets of size n > 1 of a finite universe U. Suppose we select a ran...
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