Oh, and not everyone starts labor when their water breaks. Mine only broke on its own once.
It totally depends on your body. I'm pregnant with #5. All 4 previous deliveries were at completely different times of the day and labors were completely different as well.
There is no majority. It varies from woman to woman, pregnancy to pregnancy.
With my other two children, the first started at night and the other first thing in the morning. So I'd say it can definitely go either way