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

  • question_answer
    Probability that a man who is 40 year old, living till 75 years is 5/16, and another man who is 35 years old living till 70 years is 3/7 then what is the probability that at least one of them will be alive till 35 years hence?

    A) 11/28

    B) 19/28

    C) 17/28

    D) None of these

    Correct Answer: C

    Solution :

    [c] Let A be the event that 1st man will be alive till 75 years and B be the event that 2nd man will be alive till 70 years then \[P(A)=5/16\] and \[P(B)=3/7\] then \[P(A')=11/16\], and \[P(B')=4/7\] Probability that none of them will be alive 35 years hence is \[P(A')xP(B')=11/19x4/7=11/28\] Then required probability is \[1-11/28=17/28\]


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