JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Cards are drawn one by one without replacement from a pack of 52 cards. The probability that 10 cards will precede the first ace is

    A)                 \[\frac{241}{1456}\]           

    B)                 \[\frac{164}{4165}\]

    C)                 \[\frac{451}{884}\]             

    D)                 None of these

    Correct Answer: B

    Solution :

                    There are four aces and 48 other cards. Therefore the required probability \[=\frac{48\cdot 47\cdot ....\cdot 39}{52\cdot 51\cdot ....\cdot 43}.\frac{4}{42}=\frac{164}{4165}.\]


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