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For the three events A ,B ,a n d \ C ,P ...

For the three events `A ,B ,a n d \ C ,P` (exactly one of the events `AorB` occurs)`=P` (exactly one of the two evens `BorC` )`=P` (exactly one of the events `CorA` occurs)`=p` and `P` (all the three events occur simultaneously)`=p^2` where `0`<`p`<`1/2`. Then the probability of at least one of the three events `A ,Ba n d \ C` occurring is

A

`(3p + 2p^(2))/(2)`

B

`(p + 3p^(2))/(2)`

C

`(3p + p^(2))/(2)`

D

`(3p + 2p^(2))/(4)`

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The correct Answer is:
A
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