I see where your misunderstanding is now. There are a few things:
1. Your proposition is NOT random at all! Here's an example. Let's say we're drawing 1 ball, from 1-5. After four draws, the numbers 2, 3, 1, 5 came up. By your standard, the number for the fifth draw MUST be 4. So how is that random? What random means, is that the probability of the events are not affected by other events. This brings to point
2. This is where you and lucky loser and millions of other people are stuck on. It's called the Gambler's Fallacy. Let's say I flip a coin 9 times, and it was heads every time. I flip the coin again, what's the probability I get heads again? It's actually 1/2, same as if I never fliped the coin 9 times in the first place. The fact is, previous draws, events, whatever HAS ABSOLUTELY NO AFFECT ON THE COMING DRAW. Absolutely none. To put it in a not-so-nice way, anyone who's playing "wheels" or whatever systems based on past results are fooling themselves.
3. The lottery doesn't "prevent" any numbers from being used. Again, pre-draws have absolutely no bearing on the current draw. It doesn't change the probability of any combination at all.
You guys keep arguing semantics over what is "random". But really, does that matter? We can call it chair or wfiejfiwefs if you want. As Shakespeare said, "a rose by any other name is just as sweet". It doesn't matter whether it's called "random" or not. If you don't want to call it random, I propose another word for you: "fair". The lottery is fair. What I mean is, every single combination of numbers could come up with the exact same probability. Let's just assume that the world is completely pre-determined. The drawing is thus not random. But you know what? If no one has the ability to know those numbers beforehand, then the lottery IS fair. Everyone has an equal chance of winning. That's how it should be.
You guys are essentially complaining (or at least lucky loser is) that the lottery is not giving you a way to exploit it. Given the choice, I'd much prefer a lottery that's fair to everyone playing (no one can exploit it with any of their systems) than a lottery where only "smart" "systematic" players will win the hard-earned money of those who aren't as "smart". A game like that is certainly NOT random. Nor is it fair.