CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    The probability that in a family of 5 members, exactly 2 members have birthday on Sunday, is:

    A)  \[\frac{12\times {{5}^{3}}}{{{7}^{5}}}\] 

    B)         \[\frac{10\times {{6}^{2}}}{{{7}^{5}}}\]

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

    D)         \[\frac{10\times {{6}^{3}}}{{{7}^{5}}}\]

    E)  \[1\]

    Correct Answer: D

    Solution :

    Required probability\[{{=}^{5}}{{C}_{2}}{{\left( \frac{1}{7} \right)}^{2}}{{\left( \frac{6}{7} \right)}^{3}}\] \[=\frac{10\times {{6}^{3}}}{{{7}^{5}}}\]


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