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JEE Math Practice Question

Three persons P, Q and R independently try to hit a target. I the probabilities of their hitting the target are $${3 \over 4},{1 \over 2}$$ and $${5 \over 8}$$ respectively, then the probability that the target is hit by P or Q but not by R is :

  1. A.$${{21} \over {64}}$$
  2. B.$${{9} \over {64}}$$
  3. C.$${{15} \over {64}}$$
  4. D.$${{39} \over {64}}$$

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