Question: Show that for two arbitrary random events (A) and (B) the following inequalities are true: (P(A cap B) leq P(A) leq P(A cup B) leq

Show that for two arbitrary random events \(A\) and \(B\) the following inequalities are true: \(P(A \cap B) \leq P(A) \leq P(A \cup B) \leq P(A)+P(B)\).

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