29 Aug 09 | Re: Unavoidable parity
There’s another mistake in the last posting, about the one-child policy: I only accounted for 1023 of the couples. There should have been one couple with nine children, and one that has ten or more. Without actually working it out, I’m willing to pretty much guarantee that the final couple has an average expectation of 11 children, bringing the real total expectation to exactly 1024 boys and 1024 girls - complete parity.
So to summarise:
It looks like no matter how much maths you do, you can’t get away from equal boys and girls. Bah! Or is there some mathematician out there with a clever rule that would get round this?