Yes, you go that wrong. I gave you an example above: Your eyes respond to certain patterns (the visual part of the electromagnetic spectrum) but not to other patterns (the rest of the electromagnetic spectrum).

That is itself a pattern; Your eyes do not "randomly" respond to different parts of the spectrum or to electromagnetic fields, they function consistently hence you can see which is a reliable means for you to examine your surroundings for patterns within the patterns your brain instantly interprets for you.

Can that be represented mathematically? Possibly, maybe, probably, but in terms of this conversation, I wouldn't care if it can't.

A key thing to note above is that your eyes reacting "randomly" would mean confusion. There's a "relation" to keep in mind: confusion and patterns. Bringing in mathematical representation is redundant

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Clarification: I put "randomly" in quotes because as far as I can tell (while not being an expert on quantum physics etc.) objectively there is no such thing.