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

  • question_answer
    A bag contains 3 red, 4 white and 5 black balls. Three balls are drawn at random. The probability of being their different colours is                                                                [RPET 1999]

    A)            \[\frac{3}{11}\]                       

    B)            \[\frac{2}{11}\]

    C)            \[\frac{8}{11}\]                       

    D)            None of these

    Correct Answer: A

    Solution :

               Probability \[=\frac{^{3}{{C}_{1}}{{.}^{4}}{{C}_{1}}{{.}^{5}}{{C}_{1}}}{^{12}{{C}_{3}}}\]\[=\frac{3}{11}\].


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