Problem

Use Venn diagrams to verify the following two relationships for any events A and B (thes...

Use Venn diagrams to verify the following two relationships for any events A and B (these are called De Morgan’s laws):

a.(A∪B)′=A ′∩B ′

b.(A∩B) ′= A ′ ∪B ′

[Hint: In each part, draw a diagram corresponding to the left side and another corresponding to the right side.]

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