I know that there's some subtlety to correctly getting meaning out of probability, and I vaguely remember having similar doubts about my approach because of thi

I know that there's some subtlety to correctly getting meaning out of probability, and I vaguely remember having similar doubts about my approach because of this. That said, this simple model didn't fail to explain any of the concepts I learned in elementary discrete and continuous probability. It was especially useful for understanding the latter. I don't have a lot of brain-RAM, and I find that I get confused the second that I stop focusing on "sets of outcomes". Also, for me, attempts to use "common-sense rules" about expectation seem to fail quickest of all.