Assume that in a family, each child is equally likely to be a boy o...

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Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at random. The probability that the eldest child is a girl given that the family has at least one girl is
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(A) \( \frac{1}{2} \)
(B) \( \frac{1}{3} \)
(C) \( \frac{2}{3} \)
(D) \( \frac{4}{7} \)
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