In a universe determined by natural laws that reach into the smallest of things, randomness comes in where there are a myriad of factors entering into a final result, such as we can imagine in a flip of a coin or roll of a die. There are specific odds to be found when carrying out these activities that reflect an established underlying order.
In terms of chemistry, it is seen in Brownian motion. The particles in a fluid are constantly in motion, reflecting its heat , and bumping into one another. Within the imagined primordial soup, carbon atoms would collide with one another, with oxygen, hydrogen, nitrogen, and so on, forming the complex molecules necessary for the formation of a cell. It is said that given billions of years, this is possible; some accept this and others find it untenable.
In contrast to that chaotic activity, within a cell there are enzymes which facilitate the binding of atoms and molecules. These proteins, constructed by the cellular machinery, which also involves proteins, is coded for in the DNA, which is copied into the RNA, which is then utilized in setting up a sequence of amino acids. The sequence causes the polypeptide molecule to fold into a particular shape, because the charges associated with different portions attract and repel others. The resulting three dimensional configuration allows the molecule to grab specific molecules in a respective binding site. Bringing them into close proximity, a determined reaction can occur. This results in a dramatic speeding up of the chemistry, which might possibly never take place, even in billions of years.
There is an order established in the cell that is exquisitely fine tuned. Disruptions in the organization of proteins will alter their shape, and in turn their functionality as enzymes or structural components. If this disorder happens at the level of the genome, rather than at the end production of the protein, all resultant proteins for which it codes, will be defective.
In evolutionary theory, the growing complexity of organisms that we find has been said to be analogous to winning a lottery. The problem is, where are all the billions of losing tickets, the corrupted offspring who never saw the light of day? It might be possible if living forms produced billions of fertilized eggs, that one or two might be improved versions. But, this is not the case, and we should see more evidence of this in the fossil record, if not during the history of our presence on earth.
The fact is that the impact of random genetic mutation, if not corrected or neutralized by our immunological system, results in the genetic and cellular abnormalities that can lead to cancerous growths. The random changes in genomic reproduction can be caused by viruses, toxins, radiation and the noise within the system, producing more abnormalities when it is overworked. Randomness in chemical activity, rather than being a constructive force, is destructive to the order that has been established in living organisms. It is what takes over when something dies. As one of the faces of death, it is hardly creative.