Truth

The conventional intuition is powerful because:
We may learn through the acquisition of truth dependant propositions. Mainly as questions and conditionals. Where truth is dependant on a robust contextual roadmap.
This is a subconscious process that may interrupt thought wherever a claim or issue is conflicting, but where consideration generally continues over and across any speedbumps of which we are ignorant.
So, the output of intuition is a lack of contradiction.
If you watch the video with the gorilla and the basketball game where you observe for white v red shirts passing the ball, you don't notice the gorilla because you aren't primed for that set of information. So there is a goal oriented aspect to intuition.
Anything goal oriented isn't entirely random. It will have contributions from the general observation set.
Only thinking at the internal voice level of thought is like trying to play the piano by controlling each muscle in your arms one at a time.
Muscle memory does most of the work. In the same way, semantic memory does most of the work of the mind all the time.
In software lingo. Whatever passes gate checks.