Let A, B, and C be any three events. Use Venn diagrams to show that (a) A

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Let A, B, and C be any three events. Use Venn diagrams to show that
(a) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
(b) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
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