Suppose for the events A, B,C,D, we have A B and C D. Then, arguing
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Suppose for the events A, B,C,D, we have A ⊆ B and C ⊆ D. Then, arguing as in the proof of Proposition 1.2, show that A ∪ C ⊆ B ∪ D and AC ⊆ BD.
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Related Book For 
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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