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JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • question_answer
    Two aeroplane 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) 0.2

    B) 0.7

    C) 0.06

    D) 0.14

    Correct Answer: D

    Solution :

    [d] Given: Probability of aeroplane I, scoring a target correctly i.e., P(I) = 0.3 probability of scoring a target correctly by aeroplane II, i.e, P(II) = 0.2 \[\therefore P(\overline{I})=1-0.3=0.7\] \[\therefore \] The required probability \[=P(\overline{I}\cap II)=P(\overline{I}).P(II)=0.7\times 0.2=0.14\]


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