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Luke_A_Somers comments on Anticipating critical transitions - Less Wrong
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He did answer the question he posed, which was "What is the expected fraction of girls in a population [of N families]?" It's not an unmeasurably-small hair. It depends on N. When N=4, the expected fraction is about .46. If you don't believe it, do the simulation. I did.
The question asked about a country. Unless you're counting hypothetical micro-seasteads as countries, the ratio is within noise of 50%.