I don't understand at all how this is maddening or counter-intuitive.

When you have a child, the odds are ~50% ... so the chance the next child is a boy or girl is almost equal. Is it because of the way it's framed that makes people think harder than they need to be?

This is like when I (very rarely) play something like "pick six".

I play 1, 2, 3, 4, 5, and 6. People think I'm crazy. They don't realize I have the same odds as any ticket they purchase.

If you have to share the prize money with other people that guessed the same numbers, then it seems sensible to avoid obvious patterns.