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

$\text{P (missile intercepted) =}\frac{1}{3}, P (missile not intercepted)=\frac{2}{3}$$P (hit the target)=\frac{3}{4}$$$\begin{gathered} \text{Probability of hitting the target by one missile is} \\ \text{ P( hitting when not intercepted)×P(Missile not intercepted) = }\frac{2}{3}\text{×}\frac{3}{4}\text{=}\frac{1}{2} \\ \text{SInce all the missiles fired independently} \\ \text{The probability to hit the target is }{\left(\frac{1}{2}\right)}^3=\frac{1}{8} \end{gathered}$$