JEE Main & Advanced Mathematics Probability Question Bank Use of permutations and combinations in probability

  • question_answer
    Two cards are drawn at random from a pack of 52 cards. The probability that both are the cards of spade is

    A)            \[\frac{1}{26}\]                       

    B)            \[\frac{1}{4}\]

    C)            \[\frac{1}{17}\]                       

    D)            None of these

    Correct Answer: C

    Solution :

               Required probability\[=\frac{{}^{13}{{C}_{2}}}{{}^{52}{{C}_{2}}}=\frac{13\,.\,12}{52\,.\,51}=\frac{1}{17}\].


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