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BCECE Engineering BCECE Engineering Solved Paper-2009

  • question_answer
    A bag contains 4 brown and 5 white balls. A man pulls two balls at random without replacement. The probability that the man gets both the balls of the same colour is

    A) \[\frac{5}{108}\]                                              

    B)  \[\frac{1}{6}\]                  

    C)  \[\frac{5}{18}\]               

    D)         \[\frac{4}{9}\]

    Correct Answer: D

    Solution :

    \[\therefore \]Required probability \[=\frac{{{\,}^{4}}{{C}_{2}}+{{\,}^{5}}{{C}_{2}}}{{{\,}^{9}}{{C}_{2}}}\]                              \[=\frac{6+10}{36}=\frac{16}{36}\] \[=\frac{4}{9}\]


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