JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A bag contains 3 black and 4 white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white, is [MP PET 1995]

    A)                 \[\frac{4}{49}\]    

    B)                 \[\frac{1}{7}\]

    C)                 \[\frac{4}{7}\]       

    D)                 \[\frac{12}{49}\]

    Correct Answer: C

    Solution :

               Second white ball can draw in two ways.            (i) First is white and second is white            Probability \[=\frac{4}{7}\times \frac{3}{6}=\frac{2}{7}\]            (ii) First is black and second is white            Probability \[=\frac{3}{7}\times \frac{4}{6}=\frac{2}{7}\]                 Hence required probability \[=\frac{2}{7}+\frac{2}{7}=\frac{4}{7}.\]


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