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

  • question_answer
    From a class of 12 girls and 18 boys, two students are chosen randomly. What is the probability that both of them are girls

    A)            \[\frac{22}{145}\]                   

    B)            \[\frac{13}{15}\]

    C)            \[\frac{1}{18}\]                       

    D)            None of these

    Correct Answer: A

    Solution :

               Required probability =\[\frac{{}^{12}{{C}_{2}}}{{}^{30}{{C}_{2}}}=\frac{12\times 11}{30\times 29}=\frac{22}{145}.\]


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