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@christianSpaceman
Yes, I agree. But, to remove the ambiguity, the question could say 'from a sample of famillies with at least one boy', in which case there are only three possible possibilities.
On the other hand, if you think that a family was chosen at random (so GG is possible) and then a question asked about that question which happened to contain at least one boy then the answer is 1/2 I think