JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A box containing 4 white pens and 2 black pens. Another box containing 3 white pens and 5 black pens. If one pen is selected from  each box, then the probability that both the pens are white is equal to                                  [Pb.CET 2002]

    A)                 \[\frac{1}{2}\]       

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

    C)                 \[\frac{1}{4}\]       

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

    Correct Answer: C

    Solution :

               Total number of pens in first bag = 4 + 2 = 6            and total number of pens in second bag = 3 + 5 = 8.            The probability of selecting a white pen from first bag = \[\frac{4}{6}=\frac{2}{3}\] and probability of selecting a white pen from second bag = \[\frac{3}{8}\].                 \[\therefore \] Required probability that both the pens are white =\[\frac{2}{3}\times \frac{3}{8}=\frac{1}{4}\].


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