Four persons independently solve a certain problem correctly with probabilities $\frac{1}{2}, \frac{3}{4}, \frac{1}{4}, \frac{1}{8}$. Then the probability that the problem is solved correctly by at least one of them is

  • [IIT 2013]
  • A

    $\frac{235}{256}$

  • B

    $\frac{21}{256}$

  • C

    $\frac{3}{256}$

  • D

    $\frac{253}{256}$

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