1.

Twoaeroplanes I and II bomb a target in succession. The probabilities of I andII scoring a hit correctly are 0.3 and 0.2, respectively. The second planewill bomb only if the first misses the target. The probability that thetarget is hit by the second plane is(1)0.06(2) 0.14(3) 0.2(3) 0.7A. 0.2B. 0.7C. 0.06D. 0.14

Answer» Correct Answer - D
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`


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