JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2014

  • question_answer
    Two cards are drawn without replacement from a well-shuffled pack. The probability that one of them is an ace of heart, is

    A) \[\left[ \text{FL}{{\text{T}}^{-\text{2}}} \right]\]                                              

    B) \[\left[ \text{F}{{\text{L}}^{\text{2}}}{{T}^{-\text{2}}} \right]\]

    C) \[\left[ \text{F}{{\text{L}}^{-\text{1}}}{{\text{T}}^{\text{2}}} \right]\]                   

    D) None of these

    Correct Answer: B

    Solution :

                    There are two cases arise Case I When first is an ace of heart and second one is non-ace of heart, then probability \[\text{1J=1}{{\text{0}}^{\text{-3}}}\text{KJ}\] Case II When first is non-ace of heart and second one is an ace of heart, then probability \[=21kJ=21\times {{10}^{3}}J\] \[=\frac{28}{100}\times 21000\]Required probability \[=5880J\]


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