If we are going to use pure logic in this discussion, I would like to point out that one cannot logically assert that an event is impossible simply because it is improbable.
Second, one cannot assert that an event is improbable without knowing what the event in question is, and in what context it occurred. The event and its context must be described exactly and and fully before probability can be assigned. For example, on cannot say winning the lotto is improbable without knowing the conditions of the event, whether cheating might have been involved, and more importantly, whether it has already been won.
The last condition might seem trivial, but it is not. Nearly everyone on this forum agrees that life came from non-life. For believers, it is explicitly stated in the Bible. So the argument is not about whether non-living matter can become living, but rather, under what conditions.
If one could solve difficult problems in chemistry by assigning probabilities of molecules assembling themselves, I daresay research and development laboratories would be different from what they are. The chemical precursors to life are being studied in the conventional way by conventional science. At some point it may be possible to assign probabilities to a sequence of events. But until we have an actual sequence of events, it is irrational to assign probabilities.