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Consider a family with three children. 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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