24. Show that if one event A is contained in another event B (i.e., A is a...

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24. Show that if one event A is contained in another event B

(i.e., A is a subset of B), then P(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), and P(A  B)?

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