Statistics And Probability Question 58
Question: Two aeroplane I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
Options:
A) 0.2
B) 0.7
C) 0.06
D) 0.14
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] Given: Probability of aeroplane I, scoring a target correctly i.e., P(I) = 0.3 probability of scoring a target correctly by aeroplane II, i.e, P(II) = 0.2
$ \therefore P(\overline{I})=1-0.3=0.7 $
$ \therefore $ The required probability $ =P(\overline{I}\cap II)=P(\overline{I}).P(II)=0.7\times 0.2=0.14 $
BETA
