When a missile is fired from a ship, the probability that it is intercepted is 1 3 and the probability that…

When a missile is fired from a ship, the probability that it is intercepted is 13 and the probability that the missile hits the target, given that it is not intercepted, is 34. If three missiles are fired independently from the ship, then the probability that all three hit the target, is:
  1. 38
  2. 127
  3. 18
  4. 34

Solution

Probability of not getting intercepted =23

Probability of missile hitting target =34

∴ Probability that all 3 hit the target =23×343=18

Asked in: JEE Main 2021 (25 Feb Shift 1)

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