Sarcasm aside, I really do not think you are making much sense. Obviously one first introduces the relevant probability distributions (at least the micro-canon

Sarcasm aside, I really do not think you are making much sense. Obviously one first introduces the relevant probability distributions (at least the micro-canonical ensemble). But once you have those, your comment still does not offer a better way to introduce entropy other than what I wrote. What did you have in mind? In other words, how did you think I should change this part of my course?