I love these conversations and but I recoil when I read this (above.) This discussion has come up many times over in terms of lottery selections and lottery winners. I don’t believe that what you are saying here, T, is exactly what you mean or what you should mean.
It is not that according to ID theory that a random sequence generator could not have produced that rare of a sequence. Every sequence that a random sequence generator produces is that rare.
The challenge is to create a sequence that is significant in its own way. To generate a lottery ticket is a unique event, but not a rare event. To generate a winning lottery ticket is a unique and rare event.
I could misunderstand, but that you can create this is one thing:
That you can create it again at the push of a button is something altogether different. (If I’m wrong, then let me know.)