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

  • question_answer
    A bag contains 6 red, 5 white and 4 black balls. Two balls are drawn. The probability that none of them is red, is [AI CBSE 1983]

    A)            \[\frac{12}{35}\]                     

    B)            \[\frac{6}{35}\]

    C)            \[\frac{4}{35}\]                       

    D)            None of these

    Correct Answer: A

    Solution :

               Required probability \[=\frac{{}^{9}{{C}_{2}}}{{}^{15}{{C}_{2}}}=\frac{9\times 8}{15\times 14}=\frac{12}{35}.\]


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