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JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probability that A speaks truth is \[\frac{4}{5}\], while this probability for B is \[\frac{3}{4}\]. The probability that they contradict each other when asked to speak on a fact [AIEEE 2004; MP PET 1997, 2002; IIT 1975; MNR 1987]

    A)                 \[\frac{4}{5}\]       

    B)                 \[\frac{1}{5}\]

    C)                 \[\frac{7}{20}\]    

    D)                 \[\frac{3}{20}\]

    Correct Answer: C

    Solution :

               Here \[P(A)=\frac{3}{4},\,P(B)=\frac{4}{5}\]                                 \[\therefore \]Required probability\[=P(A).P(\bar{B})+P(\bar{A})\,.\,P(B)=\frac{7}{20}\].


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