Q.

Two aero planes I and II bomb a target in successions. 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

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a

0.16

b

0.12

c

0.14

d

0.21

answer is B.

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Detailed Solution

Probability of I scoring a hit = 0.3 

Probability of II scoring a hit = 0.2

P(I)=0.3,    P(II)=0.2

Here, required probability,

 =P(I¯)P(II)=1-P(I)P(II) =(1-0.3)×0.2=0.7×0.2=0.14

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