When a missile is fired from a ship,the probability that it is intercepted is $\frac{1}{3}$ and the probability that the missile hits the target,given that it is not intercepted,is $\frac{3}{4}$. If three missiles are fired independently from the ship,then the probability that all three hit the target is:

  • A
    $\frac{1}{27}$
  • B
    $\frac{3}{4}$
  • C
    $\frac{1}{8}$
  • D
    $\frac{3}{8}$

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