[aruanan]

What are the odds that there would be such exact conditions for the formation of primitive RNA, leading to DNA, and early cellular life?

Well, considering the stringency of conditions required for us to do DNA sequencing with custom-made primers under the best of conditions, I'd say vanishingly small for each of those. The odds for all to have occurred are at least equal to the product of each of the separate odds.

[Soothesayer]

That’s right. Also, if you want to do PCR, you need a really expensive temperature changing machine and exact reagent concentrations. A difference of a few microliters of dNTPs or polymerase can really mess things up with small samples. You also need to include PH buffer to keep the molecule from breaking up.

This is a pretty clear indication of how nearly perfect the early Earth conditions had to be.