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

  • question_answer
    A bag contains 5 white, 7 black and 4 red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white, is     [MP PET 1997]

    A)            \[\frac{3}{16}\]                       

    B)            \[\frac{3}{5}\]

    C)            \[\frac{1}{60}\]                       

    D)            \[\frac{1}{56}\]

    Correct Answer: D

    Solution :

               Required probability \[=\frac{{}^{5}{{C}_{3}}}{{}^{16}{{C}_{3}}}=\frac{5\times 4\times 3}{16\times 15\times 14}=\frac{1}{56}\].


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