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JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probabilities of a student getting I, II and III division in an examination are respectively \[\frac{1}{10},\,\frac{3}{5}\] and \[\frac{1}{4}.\] The probability that the student fails in the examination is [MP PET 1997]

    A)                 \[\frac{197}{200}\]             

    B)                 \[\frac{27}{100}\]

    C)                 \[\frac{83}{100}\]

    D)                 None of these

    Correct Answer: D

    Solution :

               \[A\] denote the event getting I;            \[B\] denote the event getting II;            \[C\] denote the event getting III;            and \[D\] denote the event getting fail.            Obviously, these four event are mutually exclusive and exhaustive, therefore                 \[P(A)+P(B)+P(C)+P(D)=1\Rightarrow P(D)=1-0.95=0.05\].


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