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

  • [JEE MAIN 2017]
  • [JEE MAIN 2013]
  • A

    $\frac{{21}}{{64}}$

  • B

    $\frac{{9}}{{64}}$

  • C

    $\frac{{15}}{{64}}$

  • D

    $\frac{{39}}{{64}}$

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  • [IIT 1984]

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