Natural phenomena don't happen randomly. They are directed. If you release a stone, it will move downwards and not at any other direction. This is an example of 'direction' in what I may term it as 'space of geometry'. But I can generalize to what I may term it as 'Hilbert Space'. The space of geometry is a set of locations. The 'Hilbert space' relevant to evolution of life is the set of states that a living thing can be found in. The 'movement' in this latter space cannot be any more random than in the latter.
However, what the evolutionist is telling us is akin to claiming that aimlessly jiggling balls can result in a consistently directed motion like that of gravity! In the space of locations, we easily note that this is in conflict with the second law of thermodynamics. But as I will show you, it is same in all 'spaces'!