Let (A) and (B) be two disjoint random events, (A subset boldsymbol{Omega}, B subset boldsymbol{Omega}). Check whether

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Let \(A\) and \(B\) be two disjoint random events, \(A \subset \boldsymbol{\Omega}, B \subset \boldsymbol{\Omega}\).

Check whether the set of events \(\{A, B, A \cap \bar{B}\), and \(\bar{A} \cap B\}\) is (1) an exhaustive and (2) a disjoint set of events (Venn diagram).

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