A) \[1/12\]
B) \[1/8\]
C) \[3/8\]
D) \[3/4\]
Correct Answer: B
Solution :
[b] Let, Event R: Missile is intercepted Event H: Missile hits the target Then, \[P(R)=\frac{1}{3};\] \[P(\bar{R})=\frac{2}{3}\] \[P(H)=P(H\cap R)+P\left( H\cap \bar{R} \right))\] \[=P(R).P(H/R)+P(\bar{R}).P(H/R)\] \[=\frac{1}{3}\times 0+\frac{2}{3}\times \frac{3}{4}=\frac{1}{2}\] \[\therefore \,\,P(H\,\,H\,\,H)=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{8}\]You need to login to perform this action.
You will be redirected in
3 sec