(1) Verify by a Venn diagram that for three random events (A, B), and (C) the following...

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(1) Verify by a Venn diagram that for three random events \(A, B\), and \(C\) the following relation is true: \((A \backslash B) \cap C=(A \cap C) \backslash(B \cap C)\).

(2) Is the relation \((A \cap B) \backslash C=(A \backslash C) \cap(B \backslash C)\) true as well?

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