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 ar

Question

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:

TestHub · Accepted Answer

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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