Four persons can hit a target correctly with probabilities $\frac{1}{2},\frac{1}{3},\frac{1}{4}$ and $\frac {1}{8}$ respectively. If all hit at the target independently, then the probability that the target would be hit, is

  • [JEE MAIN 2019]
  • A

    $\frac{{25}}{{32}}$

  • B

    $\frac{{25}}{{192}}$

  • C

    $\frac{{7}}{{32}}$

  • D

    $\frac{{1}}{{192}}$

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