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JEE Math Practice Question

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

  1. A.$${3 \over 4}$$
  2. B.$${3 \over 8}$$
  3. C.$${1 \over 27}$$
  4. D.$${1 \over 8}$$

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