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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 p

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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 (1) 0.06 (2) 0.14 (3) 0.2 (3) 0.7 A. 0.2 B. 0.7 C. 0.06 D. 0.14 Select the correct answer from above options

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Correct Answer - D Let Ai(i=1,2) denote the event that ith plane hits the target. Clearly, A1 and A2 are independent events. Required probability =P( ¯ A1 ∩A2) =P( ¯ A1 )P(A2)=(1-0.3)x0.2=0.14

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