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

  • question_answer
    An anti-aircraft gun can take a maximum of four shots at any plane moving away from it. The probabilities of hitting the plane at the 1st, 2nd, 3rd and 4th shots are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that at least one shot hits the plane?

    A) \[0.6976\]

    B) \[0.3024\]

    C) 0.72

    D) 0.6431

    Correct Answer: A

    Solution :

    [a] Probability that at least one shot hits the plane \[=1-P\](None of the shot hits the plane) \[=1-0.6\times 0.7\times 0.8\times 0.9\] \[=1-0.3024=0.6976.\]


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