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 black balls. If two balls are drawn at random, then the probability that one of them is white is

    A)            \[\frac{44}{105}\]                   

    B)            \[\frac{11}{105}\]

    C)            \[\frac{11}{21}\]                     

    D)            None of these

    Correct Answer: A

    Solution :

               Required probability \[=\frac{{}^{4}{{C}_{1}}\,.\,11}{{}^{15}{{C}_{2}}}=\frac{4\,.\,11\,.\,2}{15\,.\,14}=\frac{44}{105}.\]


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