Two aeroplanes 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 (A) `0.06`                                                     (B) `0.14` (C) `7/22`                                                       (D) `0.7`

Options

A. 0.2
B. 0.7
C. 0.06
D. 0.14

Answer

D

Explanation

Let `A_(i)(i=1,2)` denote the event that `i^(th)` plane hits the target.
Clearly, `A_(1) " and " A_(2)` are independent events.
Required probability `=P(overline(A_(1)) cap A_(2))`
`=P(overline(A_(1)))P(A_(2))=(1-0.3)x0.2=0.14`