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Consider a family with three children, assuming each child is equally likely to be a boy or a girl and the genders are independent. Let event \(A\) be the event that the first two children are girls, and let event \(B\) be the event of having only girls. Find \(A \text{ and } B\).
\(A \text{ and } B = \{\text{GGB}, \text{GGG}\}\)
\(A \text{ and } B = \emptyset\)
\(A \text{ and } B = \{\text{GGB}\}\)
\(A \text{ and } B = \{\text{GGG}\}\)
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