When a missile is fired from a ship,the proba | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $I$ be the event that the missile is intercepted and $H$ be the event that the missile hits the target. Given: $P(I) = \frac{1}{3}$,so $P(	ex

Vedclass · Accepted Answer

$\frac{1}{8}$

Vedclass · Answer

(C) Let $I$ be the event that the missile is intercepted and $H$ be the event that the missile hits the target. Given: $P(I) = \frac{1}{3}$,so $P(	ext{not intercepted}) = P(I^c) = 1 - \frac{1}{3} = \frac{2}{3}$. The probability that the missile hits the target given it is not intercepted is $P(H | I^c) = \frac{3}{4}$. The probability that a single missile hits the target is $P(H) = P(I^c) 	imes P(H | I^c) = \frac{2}{3} 	imes \frac{3}{4} = \frac{1}{2}$. Since three missiles are fired independently,the probability that all three hit the target is $(P(H))^3 = (\frac{1}{2})^3 = \frac{1}{8}$.

Similar Questions

$A$ bag contains $4$ red and $3$ black balls. $A$ second bag contains $2$ red and $3$ black balls. One bag is selected at random. If from the selected bag,one ball is drawn at random,then the probability that the ball drawn is red,is

If $P(A_1 \cup A_2) = 1 - P(A_1^c) P(A_2^c)$,where $c$ stands for complement,then the events $A_1$ and $A_2$ are

If $A$ and $B$ are two independent events such that $P(A)=0.3$,$P(B)=x$ and $P(A \cup B)=0.44$,then $x=$

$A$ purse contains $4$ copper coins and $3$ silver coins,the second purse contains $6$ copper coins and $2$ silver coins. If a coin is drawn out of any purse,then the probability that it is a copper coin is

If $A$ and $B$ are two independent events and $P(A)=\frac{3}{5}$ and $P(B)=\frac{2}{3}$,then $P(A' \cap B')=$

Vedclass Test Series

Exam Paper Generator

Online Exam Module