I find it strange that they don't use some true random source in generating the tickets. I'm also surprised the article finds this obvious. "Of course, it would be really nice if the computer could just spit out random digits. But that’s not possible, since the lottery corporation needs to control the number of winning tickets" Surely the lottery could quantify uncertainties and set up a system where the probability…
I think that "arbitrarily small" is not enough, especially if you are running a business for decades. Try convincing your boss that the chance of all tickets be winners (which would bring the business down) is "small enough".
Sure it is. How do you think casinos work?