Show that if one event A is contained in another event B (i.e., A is a subset of B), thenP(A) ≤ P(B) . [Hint: For such A and B, A and B∩A ’, are disjoint and B = A ∪(B∩A ’),as can be seen from a Venn diagram.] For general A and B, what does this imply about the relationship among P(A∩B), P(A∪B)and ?
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