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AP EAMCET · Maths · Probability

2 aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if first misses the target. The probability that the target is hit by the 2 nd plane is

  1. A \(0.06\)
  2. B \(0.14\)
  3. C \(0.32\)
  4. D \(0.7\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.32\)

Step-by-step Solution

Detailed explanation

Let \(A\) be the event that aeroplane-I hit the target correctly and \(B\) be the event that aeroplane-II hit the target correctly. \(\begin{array}{ll}\Rightarrow & P(A)=0.3 \text { and } P(B)=0.2 \\ \therefore & P\left(A^{\prime}\right)=1-P(A)=1-0.3=0.7\end{array}\) where…