Suppose that at least one of the events Ej , j = 1, 2, . . .

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Suppose that at least one of the events Ej , j = 1, 2, . . . , m, is guaranteed to occur and no more than two can occur. Show that if p(Ej) = q for j = 1, 2, . . . , m and p(Ej ∩ Ek) = r for 1 ≤ j < k ≤ m, then q ≥ 1/m and r ≤ 2/m.

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 03, 2016 01:46 AM

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Suppose that at least one of the events Ej , j = 1, 2, . . .

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This is essentially an application of inclusionexclusion Sect...View the full answer

Discrete Mathematics and Its Applications

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