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For three events \( A, B \) and \( C, P \) (exactly one of the events \( A \) or \( B \) occurs) \( =P \) (exactly one of the events \( B \) or \( C \) occurs) \( =P \) (exactly one of the events \( C \) or \( A \) occurs) \( =p \) and \( P \) (all the three events occur simultaneously) \( =p^{2} \), where \( 0p1 / 2 \). Then the probability of at least one of the three events \( A, B \) and \( C \) occurring is
\( -\left(\right. \) A) \( \frac{3 p+2 p^{2}}{2} \)
(B) \( \frac{p+3 p^{2}}{2} \)
(C) \( \frac{3 p+p^{2}}{2} \)
(D) \( \frac{3 p+2 p^{2}}{4} \)
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