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Consider a family with exactly two children, where each child is a boy (B) or a girl (G). Two events are defined as follows:
Event \(E\): The family has only boys.
Event \(F\): The family has only girls.
Are the events \(E\) and \(F\) mutually exclusive?
Choose one true answer:
Yes, the events are mutually exclusive.
No, the events are not mutually exclusive.
It cannot be determined from the information given.
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