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JEE Math Practice Question

Let A and B be two independent events such that P(A) = $${1 \over 3}$$ and P(B) = $${1 \over 6}$$. Then, which of the following is TRUE?

  1. A.$$P\left( {{A \over {A \cup B}}} \right) = {1 \over 4}$$
  2. B.$$P\left( {{A \over B}} \right) = {2 \over 3}$$
  3. C.$$P\left( {{{A'} \over {B'}}} \right) = {1 \over 3}$$
  4. D.$$P\left( {{A \over {B'}}} \right) = {1 \over 3}$$

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