How are the numbers assigned to each team? Do certain teams have a higher percentage of two or three specific digits appearing on the list (for example, the 4, 6 and 9)? If so, there are ways to draw those balls to the bottom.
No, I'm not a conspiracy theorist, but there would be ways to "fix" the system to give certain teams a MUCH higher percentage of a top-3 pick than by what is expected by their actual number of combinations - even with the drawing watched publicly. I haven't though it out much, so I'm sure there are other methods than what I came up with off the top of my head. Not necessarily guaranteed to give specific teams a better pick, but at least substantially increase their odds for a draft or two until it panned out. Sure is a lot harder than it was back in the days when all you had to do was mangle the envelope a little bit