Correct me if I'm wrong, but isn't the probability of a year being a leap year approximately 25%, completely independent of what month it is? (This seems like one of those unintuitive-but-correct probability puzzles...)
For all intents and purposes, yes. Well, for nearly all intents and purposes, since there is in fact a very slight difference:
Imagine the year only had 2 months, PraiseKawoombaMonth, and KawoombaPraiseMonth, each of those having 30 days. However, every other year the first month gets cut to 1 day to compensate for some unfortunate accident involving shortening the orbital period. Still, for any given year the probability of being a leap year is 50%.
Now you get woken from cryopreservation (high demand for fresh slaves) and, asking what time it is, only get ...
If it's worth saying, but not worth its own post, even in Discussion, it goes here.