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JEE Main202125 Feb 2021Morning ShiftMathematicsProbabilityActual

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

Options

  1. A3 8
  2. B1 27
  3. C1 8
  4. D3 4

Correct answer

C. 1 8

Step-by-step solution

Probability of not getting intercepted = 2 3 Probability of missile hitting target = 3 4 ∴ Probability that all 3 hit the target = 2 3 × 3 4 3 = 1 8

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