The nature of our physical existence does not involve random processes.
All outcomes of cause and effect events occur within a limited range of outcomes limited by NAtural LAws and processes. The variability in possible outcomes is fractal based on Chaos theory. The only thing that is random is timing of an event.
I agree with this. Random is how things appear, if you do not understand the hidden logic.
The ancient people did not have modern science to help them explain the natural world with logic. E=MC2 is not obvious. Most things we see as rational today, they saw as being in the dark. To create rational order in this darkness; their version of a black box, they assumed the whims of the gods. The whims of the gods, did not mean the gods were random. Rather it meant that humans were not advanced enough to understand their logic, since the logic of the gods, was way beyond humans and had an order that did not know. Why have a god of the ocean, who has no clue about water or why he made fish? That would make him random. Instead he knew what he was doing, and if there was a tidal wave, he had his reason. But the humans could not anticipate this. Many consulted oracles for a light in the dark. The God may give a hint.
Statistics is an modern oracle tool, to help those in the dark, make predictions. It is a useful tool. A smaller man with a chain saw can make a stronger man with an ax appear less productive. This oracle is a math chain saw. It is applied science called pure science, since pure is rational but applied can use tricks; unnatural materials not from nature for a magic trick.
Because the tool had lots of merit and increased productivity, the oracle tool morphed into the god of the black box. When the term intelligent Designed was coined, it led to an Atheist panic, since those words challenged the god of the black box. If it was true, the god of the black box would be superseded by god of the lighted box; logic. It would be the age of reason all over again.
Applied science was moving fast; post WWII, especially in the 1950's. Making new drugs was one area that was a big money maker. However, making drugs was a long difficult process, if you do not understand the cause and effect between the drugs and the patient. The growing industry needed lot of skilled workers, but there was not enough trained experts, who could make drugs on the fly.
An applied mathematician tool helped bypass the need for special knowledge and logic, in favor of a black box assumption and the statistical experimental design; the math chain saw for harvesting drugs. The black box means you no longer needed all the extra knowledge and ingenuity of Thomas Edison. You could less be educated and specialized; less expensive, but still more productive by using an assembly line experimental design tool. Somewhere, people forgot about the using a tool, due to the wealth created, and assumed the tool defined reality; random, and not just a cost savings and profit.
I would challenge any Pharmaceutical company to get rid of the tool; chain saw, to prove me wrong. Most would be in the dark without their god for light in the dark. This is called the scientific method but it is more than science; mysticism.