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JEE Main & Advanced Mathematics Question Bank Critical Thinking

  • question_answer
    In four schools \[{{B}_{1}},{{B}_{2}},{{B}_{3}},{{B}_{4}}\]the percentage of girls students is 12, 20, 13, 17 respectively. From a school selected at random, one student is picked up at random and it is found that the student is a girl. The probability that the school selected is \[{{B}_{2}},\]is                                     [Pb. CET 2004]

    A)                 \[\frac{6}{31}\]    

    B)                 \[\frac{10}{31}\]

    C)                 \[\frac{13}{62}\]  

    D)                 \[\frac{17}{62}\]

    Correct Answer: B

    Solution :

               Favorable number of cases = \[^{20}{{C}_{1}}=20\]            Sample space = \[^{62}{{C}_{1}}=62\]                 \[\therefore \] Required probability = \[\frac{20}{62}=\frac{10}{31}\].


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