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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 of having only boys, and let event \(B\) be the event of having only girls. Find \(A \text{ and } B\).
\(A \text{ and } B = \{\text{BBB}, \text{GGG}\}\)
\(A \text{ and } B = \{\text{BBB}\}\)
\(A \text{ and } B = \{\text{GGG}\}\)
\(A \text{ and } B = \emptyset\)
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