J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be hearts. The probability of the missing card to be a heart is

    A)  \[\frac{50}{11}\]

    B)  \[\frac{51}{11}\]

    C)  \[\frac{11}{50}\]

    D)  None of these

    Correct Answer: C

    Solution :

    Required probability \[=\frac{\frac{1}{4}\times \frac{^{12}{{C}_{2}}}{^{52}{{C}_{2}}}}{\frac{\frac{1}{4}{{\times }^{12}}{{C}_{2}}}{^{52}{{C}_{2}}}+\frac{\frac{3}{4}{{\times }^{13}}{{C}_{2}}}{^{52}{{C}_{2}}}}\] \[=\frac{\frac{66}{4}}{\frac{66}{4}+\frac{234}{4}}=\frac{66}{300}=\frac{11}{50}\]


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