JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two cards are drawn one by one at random from a pack of 52 cards. The probability that both of them are king, is [MP PET 1994]

    A)                 \[\frac{2}{13}\]    

    B)                 \[\frac{1}{169}\]

    C)                 \[\frac{1}{221}\]  

    D)                 \[\frac{30}{221}\]

    Correct Answer: C

    Solution :

               Probability of first card to be a king\[=\frac{4}{52}\]                    and probability of also second to be a king \[=\frac{3}{51}\]                 Hence required probability \[=\frac{4}{52}\times \frac{3}{51}=\frac{1}{221}\].


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