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JEE Math Practice Question

Let E and F be two independent events. The probability that both E and F happen is $${1 \over {12}}$$ and the probability that neither E nor F happens is $${1 \over {2}}$$, then a value of $${{P\left( E \right)} \over {P\left( F \right)}}$$ is :

  1. A.$${4 \over 3}$$
  2. B.$${3 \over 2}$$
  3. C.$${1 \over 3}$$
  4. D.$${5 \over 12}$$

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