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

  • question_answer
    A lot consists of 12 good pencils, 6 with minor defects and 2 with major defects. A pencil is choosen at random. The probability that this pencil is not defective is [EAMCET 1991]

    A)            \[\frac{3}{5}\]                          

    B)            \[\frac{3}{10}\]

    C)            \[\frac{4}{5}\]                          

    D)            \[\frac{1}{2}\]

    Correct Answer: A

    Solution :

               Required probability \[=\frac{{}^{12}{{C}_{1}}}{{}^{20}{{C}_{1}}}=\frac{3}{5}.\]


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