ETFan, I began this up the top of the Index, to get away from the scrunched-to-the right-hand side of the page the headings have taken on my computer, (in the variance discussion.) I've responded here to your mysticism question.
Quote from you: "Modern science explicitly incorporates luck as a prime ingredient. Quantum physics is based on probability theory. Probability theory of course, is the study of luck. I don't think this is news to anyone."
Maybe it's news to Wiki, because when I googled probability theory, nowhere in their long ramble did I spot the word, 'luck.' Although several times 'random variable' and 'convergence random variable' are used. Now why do you suppose they would apparently deliberately avoid the word "luck"? You have no problem linking that word with probability theory.
Wiki begins with: "Probability theory is the branch of mathematics concerned with analysis of random phenomena." No 'luck' there either. A dictionary says: "Luck, (also called fortuity) is a chance happening, or that which happens beyond a person's control." and, "Another view holds that 'luck is probability taken personally.'
You wrote: "Variance helps us quantify luck." To which I replied, "Great to see the union of science and mysticism." To which you replied: "What mysticism?"
I think the majority of us are not exactly informed, when it comes to complex math, such as calculus and algebraic formulae. Only the odd one here and there, such as you and Don, and maybe a few others here, are comfortable with complex math formulae and the like. Oh, sure, most us us can grasp basic stuff like 28.20%, the dealer hand average bust figure.
When you linked variance with luck, you merged science and luck. You, representing science, are invited to lead us out of the Dark Ages concerning variance, which is a mystifying thing for many. You have already helped there, somewhat.
Now for the mysticism. Humans come from thousands of generations of mysticism, in the ancient forms of: numerology, runes, shamanism, voodoo, hoodoo, prayer, divine providence (as luck), divine grace (as luck,) spiritual, supernatural, psychic, omens, amulets, charms, rituals and spells, just to mention a few.
All of this 'conditioning' doesn't just disappear overnight when math figures are presented as the Absolute. Such as with variance. Variance may be mathematically provable by you and others, but still no expert is able to guarantee that my double down is going to be a winner, nor my splits, nor can you guarantee that even when the count is well in my favor, that I am certain to get the card I need, now. Of course, either can a shaman!
I am probably never going to fully understand variance, nor any math beyond the fairly basic. Amazingly enough, for me, I do OK at blackjack. I can count well enough, divide, subtract and add, plus hold a meaningless conversation, keep a sneaky eye on the pit, keep moving, Wonging sometimes and have some fun too, all at the same time occasionally. I think I may be a 'moderately successful hobbyist.'
Now if I studied hard and became very, very math-informed, would that mean I could jump several rungs upwards from where I am at the moment? Like to the very top HR level of BJ success? If you say yes to that question, I promise to throw away my lucky rabbits foot and my dead Grandad's gold tooth!