An anti-aircraft gun takes four shots at an e | vedclass

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

Question

(D) Let $E_1, E_2, E_3, E_4$ be the events of hitting the plane in the first,second,third,and fourth shots respectively.Given probabilities are $P(E_1

Vedclass · Accepted Answer

$0.6976$

Vedclass · Answer

(D) Let $E_1, E_2, E_3, E_4$ be the events of hitting the plane in the first,second,third,and fourth shots respectively.Given probabilities are $P(E_1) = 0.4, P(E_2) = 0.3, P(E_3) = 0.2, P(E_4) = 0.1$.The probability of not hitting the plane in any shot is $P(E_i^c) = 1 - P(E_i)$.$P(E_1^c) = 1 - 0.4 = 0.6$$P(E_2^c) = 1 - 0.3 = 0.7$$P(E_3^c) = 1 - 0.2 = 0.8$$P(E_4^c) = 1 - 0.1 = 0.9$The probability that the gun hits the plane at least once is $1 - P(	ext{not hitting the plane in any shot})$.Required probability $= 1 - (P(E_1^c) 	imes P(E_2^c) 	imes P(E_3^c) 	imes P(E_4^c))$$= 1 - (0.6 	imes 0.7 	imes 0.8 	imes 0.9)$$= 1 - 0.3024$$= 0.6976$

An anti-aircraft gun takes four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first,second,third,and fourth shots are $0.4, 0.3, 0.2$,and $0.1$ respectively. The probability that the gun hits the plane is:

Similar Questions

Let $A$ and $B$ be events with $P(A)=\frac{1}{3}, P(B)=\frac{1}{4}$ and $P(A \cup B)=\frac{1}{2}$. Then which of the following statements is incorrect?

$A$ die is formed so that the probability of getting a number $i$ when it is rolled is proportional to $i$ $(i=1, 2, 3, 4, 5, 6)$. The probability of getting an odd number on the die when it is rolled is

From the word $POSSESSIVE$,a letter is chosen at random. The probability of it being $S$ is

When two dice are thrown simultaneously,what is the probability that the sum of the numbers on the top faces is $5$?

$A$ coin and a six-faced die,both unbiased,are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module