JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • question_answer
    A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is

    A) \[1/4\]

    B) \[1/3\]

    C) \[2/3\]   

    D) None of these

    Correct Answer: B

    Solution :

    [b] Consider the following events: A: Father has at least one boy B: Father has 2 boys and one girl Then, A=one boy and 2 girls, 2 boys and one girl, 3 boys and no girl \[A\cap B=2\]boys and one girl now, the required probability is \[P(A/B)=\frac{P(A\cap B)}{P(A)}=\frac{1}{3}.\]


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