For three events \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C}, \mathrm{P} \) (exactly one of the
\( \mathrm{P} \) events \( \mathrm{A} \) or \( \mathrm{B} \) occurs) \( =\mathrm{P} \) (exactly one of the events
W \( B \) or \( C \) occurs) \( =\mathrm{P} \) (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 atleast one of the three events \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) occurring is
(1) \( \frac{3 p+2 p^{2}}{2} \)
(3) \( \frac{3 p+p^{2}}{2} \)
(2) \( \frac{p+3 p^{2}}{2} \)
(4) \( \frac{3 p+2 p^{2}}{4} \)
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