randomness

IPA: rˈændʌmnʌs

The property of all possible outcomes being equally likely.
(mathematics) A type of circumstance or event that is described by a probability distribution.
A measure of the lack of purpose, logic, or objectivity of an event.

Examples of "randomness" in Sentences

The seeming randomness is what makes it terrifying.
Once determinism or randomness is supplanted by choice contingency becomes problematic.
The sweet-spot mix of pattern and randomness is what hints at meaning and communication.
There's a certain randomness to any system that cannot be entirely overcome by experience.
And randomness is essential to statistics as well for example (not implying you don't know that.)
You have focused on the microscopic level to suggest that randomness is insufficient to explain observations.
I would note that the philosophy of "expose yourself to randomness" is something I also associate with Tyler Cowen.
"Expose yourself to randomness" is also something Nassim Nicholas Taleb drives home in the preface of "The Black Swan".
But even so, randomness is always a crucial component in a search, that is to try the search from a completely different arbitrary angle, so you don't get stuck in a rut.
The key to the observation "expose yourself to randomness" is that there are a lot of opportunities in the world with a small chance of a large upside that can be undertaken at a very low cost and almost no downside risk.