A lady did win the lottery. And people do every day. By the rules of that game, all possible sequences can be drawn (and will be drawn eventually), even if the sequences also happen to be a valid opcode sequence. Would you like me to look through the state lottery drawings for a valid opcode sequence? It wouldn't take long to find one. There are a very large number of valid sequences, though some do more things than others. DNA is actually even more likely to produce good results automatically, since unlike the lottery example, DNA has constructive/destructive reinforcement mechanisms at work (i.e. it isn't truly random in the conventional sense).
So there is an example of a random process generating an intentionally predefined sequence of symbols (a "program" for the pedestrians). What's the problem?
...and after all of this, I believe you know that.
Thanks, I need no more.
:)