Earlier quoted context omitted.
15-251 TA here. Probability is one of my favorite topics, but I agree with (this part of) the course's treatment. If we really wanted to do probability the right way, we'd tell them that a random variable is a structure-preserving map between measure spaces. You can't do that with freshmen. Indeed, we deliberately avoided any mention of continuous probability spaces. Your conclusion may be generally true, but it's de…
"Probability is one of my favorite topics, but I agree with (this part of) the course's treatment." This statement is an unfortunate juxtaposition: Glad probability is one of your "favorite topics", but you make serious mistakes right at the beginning and show that you don't know anything significant at all about the subject, not at any level from freshman to the texts I listed. That you "agree" with that "part of th…
I sincerely apologize for my above post; I did not realize I was dealing with a troll.