Some arguments against a natural origin of life calculate the probability of assembling a modern protein, genome, or cell by random combination and obtain extraordinarily small numbers.
Critics object that origin-of-life researchers do not propose that a modern cell appeared in a single random assembly event. Chemistry is constrained by physical laws, reactions are not equally probable, intermediate products can persist, environmental processes can concentrate materials, and selection can act once replicating systems exist.
This objection is important because an unrealistic probability calculation can make an event appear far less plausible than the actual scientific model proposes.
A useful investigation must evaluate proposed pathways rather than calculate the probability of a process that no serious origin model requires.
This objection is well taken.
Calculating the chance assembly of a modern cell from randomly selected components does not by itself evaluate contemporary origin-of-life models. Those models generally propose sequences of chemical processes, environmental constraints, self-assembly, catalytic effects, replication, and eventually selection.
This does not mean probability questions are irrelevant. Researchers can still ask whether particular pathways are chemically plausible, whether useful products occur often enough, whether competing reactions overwhelm them, and whether sufficient fidelity and function can arise for further evolution.
But those probabilities should be attached to realistic proposed processes and experimental evidence.
An Intelligent Design argument is stronger when it addresses what natural mechanisms have actually been proposed rather than comparing life with a single-step random assembly of a modern organism.
Can experimentally constrained models eventually allow meaningful estimates of the likelihood of major transitions in plausible prebiotic environments?