When we use the term “random” within science, we usually mean some type of statistically comprehensible distribution of end results after a defined action. When scientists have used this approach to understand “random” with the context of genomics and phenotypes, the scientific results is a probability against a random-neoDarwinian outcome that is astronomical. If memory serves, I think one scientist provided a number that may be larger than the estimated atoms in the Universe. Whatever the result from applying stochastic methodologies, the numbers are inevitably against the Darwinian paradigm, and I do not know of any reputable scientist who would dispute these general remarks.
Once this is understood, we may regard the outlooks of various groups. An atheist commences with an assumption, ‘there is no god’, and from this seeks to rationalise these outcomes of science that are against his outlook. One example is to introduce constraints in their version of Neo-Darwinism, and in this way they hope to reduce the odds against such randomness. Another example is to argue for another definition of randomness - a common approach amongst some bio-scientists. Others question the adequacy of neo-Darwinism and get a lot of stick for their troubles.
A theist otoh, needs to question assumptions and seek to come to a better understanding of the scientific outlooks, and asks, why so much debate? Often theists start with, “God is the Creator” and He can direct nature as He wills - this is fine as a generality, but many then accept what is scientifically dubious and try to also rationalise their uncritical acceptance of Neo-Darwinism, and instead imply Christian theology needs revision. This is wrong; instead they should ask, what do we understand by the phrase, “God Creates”. An act of creation by God is not the same as articulating systematically observations we make of nature and declare laws from our observations. God creating all, requires us to try and comprehend time and space, and all that is therein, including ourselves, This transcendental outlook is theologically based, and requires of Christians a deeper understanding than provided by the natural science.
I will not labour the point and I understand the topic requires lengthy theological discussions to reach a mutual understanding. I have made these remarks mainly to point out that terms such as random, obtained from science, should not be used in an amateurish way, especially when we discuss teachings of the Faith. Atheists may be so inclined, but that is their position from the start.