Abstract
In the classical probability model, let f(n) be the maximum number of pairwise independent events for the sample space with n sample points. The determination of f(n) is equivalent to the problem of determining the maximum cardinality of specific intersecting families on the set {1,2,…,n}. We show that f(n)≤n+1, and f(n)=n+1 if there exists a Hadamard matrix of order n.
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