Visualize by a Venn diagram whether the following relations between random events (A, B), and (C) are

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Visualize by a Venn diagram whether the following relations between random events \(A, B\), and \(C\) are true:

(1) \(A \cap(B \cup C)=(A \cap B) \cup(A \cap C)\),

(2) \((A \cap B) \cup(A \cap \bar{B})=A\),

(3) \(A \cup B=B \cup(A \cap \bar{B})\).

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