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

  • question_answer
    A bag contains 4 white, 5 red and 6 green balls. Three balls are picked up randomly. The probability that a white, a red and a green ball is drawn is

    A)            \[\frac{15}{91}\]                     

    B)            \[\frac{30}{91}\]

    C)            \[\frac{20}{91}\]                     

    D)            \[\frac{24}{91}\]

    Correct Answer: D

    Solution :

               Required probability \[=\frac{4\,.\,5\,.\,6}{{}^{15}{{C}_{3}}}=\frac{24}{91}.\]


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