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

  • question_answer
    From a pack of playing cards three cards are drawn simultaneously. The probability that these are one king, one queen and one jack is

    A)            \[\frac{64}{5525}\]                

    B)            \[\frac{16}{5525}\]

    C)            \[\frac{128}{5525}\]              

    D)            \[\frac{64}{625}\]

    Correct Answer: B

    Solution :

               Required probability \[=\frac{{}^{4}{{C}_{1}}\times {}^{4}{{C}_{1}}\times {}^{4}{{C}_{1}}}{{}^{52}{{C}_{3}}}\]


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