@dochawk could I bother you for a recommendation on your personal favorite book, by way of introduction, to combinatronics and monoids?
My go-to for probability and statistics is my old copy of
Freund that I used for a 400 level class for new graduate students. It’s not that it’s explanations are the best or most advanced, but that it’s that they’re all at least “good enough” and it’s
very well indexed. Enough so that even when I was taking 600 level classes, or when I was teaching 200, it was what I reached for first. Also, being that level rather than higher, it tends to have more probability.
As for monoids, I have never dealt much with group theory, save in passing when I took number theory (now
that was a wild ride . . . start with the empty set, and build sets from that to device math all the way up to Calculus! I think it had a 500 number, but it was quite 600 . . .

).
I
did, however, take my Set Theory from Halmos himself . . .
@dochawk I took a friend’s challenge and we wrote an app to play videopoker over the course of 10 days. Quite an interesting exercise. I never could be bothered to field test it, but if the machines aren’t rigged that 1% chance in your favor can become a past-time in that you mindlessly play a game you already know, for the sake of it.
I recall a piece someone wrote in the 90s, in which wrote a screen-scraper to read the site of an off-shore video poker website. He used it for near optimal play, with timing and errors introduced pseudo-randomly to not be detected.
In the demos, it consistently won fairly predictable amounts. When he gave it a few bucks, though, even though the game was allegedly the same, it lost money . . . (gee, who’da thunk it!



)
hawk, whose current project is to figure out enough about arduinos to control his lawn & irrigation