The important thing to keep in mind concerning probabilities and the origin of life is that proteins, and everything else in a living cell, are manufactured by machinery which is controlled by an abstract-representation digital coding system. Proteins not only don’t self-assemble, they cannot self-assemble, because basic chemistry drives the process in the opposite direction.
Once this is taken into consideration all arguments that assert, “But it could have happened by chance,” are rendered ludicrous on their face.
By way of analogy, the basic Darwinian argument for the origin of life goes something like this:
1) Clay occurs naturally.
2) Bricks are made of clay.
3) Therefore, there is some (given enough time) probability that houses made of clay bricks came about by stochastic processes and the chemistry of clay.
This is the way I see it, and so do most people with common sense. Apparently, one needs a Ph.D. in Darwinian Speculation (or sufficient indoctrination in this academic, “scientific” specialty) not to recognize the obvious.