Question:
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 :
Correct Option: , 3
Solution:
Required probability $=\left(\frac{2}{3} \times \frac{3}{4}\right)^{3}=\frac{1}{8}$