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

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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). 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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