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JEE Math Practice Question

For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = $${1 \over 4}$$ and P(All the three events occur simultaneously) = $${1 \over {16}}$$. Then the probability that at least one of the events occurs, is :

  1. A.$${7 \over {16}}$$
  2. B.$${7 \over {64}}$$
  3. C.$${3 \over {16}}$$
  4. D.$${7 \over {32}}$$

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