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

  • question_answer
    A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is a black or red ball is                                                                      [EAMCET 2002]

    A)            \[\frac{1}{3}\]                          

    B)            \[\frac{1}{4}\]

    C)            \[\frac{5}{12}\]                       

    D)            \[\frac{2}{3}\]

    Correct Answer: D

    Solution :

               P(Black or Red) \[=\frac{^{5}{{C}_{1}}+{{\,}^{3}}{{C}_{1}}}{^{12}{{C}_{1}}}=\frac{2}{3}\].


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