JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then the probability that none can solve it [MNR 1990; UPSEAT 2000]

    A)                 \[\frac{2}{5}\]       

    B)                 \[\frac{3}{5}\]

    C)                 \[\frac{1}{3}\]       

    D)                 None of these

    Correct Answer: A

    Solution :

               Required probability                                                 \[=\left( 1-\frac{1}{3} \right)\text{ }\left( 1-\frac{1}{4} \right)\text{ }\left( 1-\frac{1}{5} \right)\]\[=\frac{2}{3}.\frac{3}{4}.\frac{4}{5}=\frac{2}{5}.\]


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