There is probability and then there is probability, sometimes when the odds are just too outrageous, even mathematical possibility seems just plain silly. Nowhere in scientific inquiry is this phenomenon more apparent than in the theories for the origin of life on Earth. Speculations based on a much too young fossil record and hunches about original atmospheric conditions have given us things like the Big Bang Theory and Primordial soup.
The lucky lightning bolt has to hit the soup at the right moment in order to properly cook the stuff into amino acids and proteins, then a few more perfect lightning bolts to eventually get an amoeba. Then, after several more lucky breaks our amoeba will crawl out and invent the smart phone. This is all possible by a combination of Time plus Chance; with enough Time and enough Chance anything is possible! And they call me delusional for believing in a Creator/God. I think Time plus Chance equals Chaos.
There are no decent transitional fossils between chimp and Human, fish and bird, etc. The “Missing Links” we do have are sadly insufficient. This leads to the difficult possibility that Creation is still an option – Creation is no less probable. But that could all change if archaeologists finally found the perfect missing link.