JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    Assuming that for a husband-wife couple the chances of their child being a boy or a girl are the same, the probability of their two children being a boy and a girl is [MP PET 1998]

    A)                 \[\frac{1}{4}\]       

    B)                 1

    C)                 \[\frac{1}{2}\]       

    D)                 \[\frac{1}{8}\]

    Correct Answer: C

    Solution :

               The chance of being a boy or girl \[p=\frac{1}{2},\] \[q=\frac{1}{2}\]            Total child = 2, Number of boys = 1                 \[P\](1 boys, 1 girl) \[={}^{2}{{C}_{1}}{{\left( \frac{1}{2} \right)}^{1}}{{\left( \frac{1}{2} \right)}^{2-1}}=\frac{1}{2}.\]


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