JEE Mains · Maths · STD 11 - 14. probability
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 \(\frac{3}{8}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{8}\)
Step-by-step Solution
Detailed explanation
Required probability \(=\left(\frac{2}{3} \times \frac{3}{4}\right)^{3}=\frac{1}{8}\)
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