Random chance had some impact on what you did today. When random chance is confined to exactly what mutations an organism has in its DNA that is the major function controlled by chance alone. As to the survival of that mutation and it’s being passed along to future generation, the role of chance become very low in comparison to the advantage or disadvantage that mutation confers on its organism. If it works, it is retained and passed along. If not, it is discarded. That reflects the limited role of chance — pretty small.
“That reflects the limited role of chance — pretty small.”
I think you’re seriously underestimating what chance is accomplishing in the theory. Without the millions or billions of random mutations to provide new versions of genes, there is no development in the organism. Natural selection merely selects the most “fit” variations, but it is the random chance that provides the raw material, the variations themselves.
There’s also random chance involved in the conditions those variations will encounter, which are key to whether they will be selected or not. So there is random chance dictating both parts of the process. Once you abandon any intelligent intervention in the process, what is left but random chance?
Here's where it stumbles: mere mutations are insufficient to explain drastic improvements to design. For example, basic light sensors in primitive organisms could not have evolved lenses to become eyes. To have that happen would require suspension of every principle of statistical analysis. The actual construction of a shaped, transparent structure would require a positive design element and could not conceivably be an accident. Too many separate elements of chance to be possible.
This is only one small example of the many thousands of unexplained evolutionary changes in relatively short spans of time that point to external design rather than happenstance.
Nature, as part of the universe we live in, is relentlessly destructive from our viewpoint in that materials oxidize and break down, structures crumble, energy dissipates. Nothing makes itself better on its own: that requires an external force to make the change.
If you had ever been responsible for the design and production of an advanced system, you'd know that nothing happens by accident. Evolution exists, of course but it is part of a really advanced design process.