What was your specific statistical problem with evolutionary theory?
My statistical problem:
You have an organism which supposedly "evolved" from a different organism. Take any one organ, system, etc... and look at the differences between the two. On the surface, they look pretty similar. The new one is slightly improved. That's what Darwin saw. For just one small improvement to arise by chance would be feasable. But modern science will tell us that there is more than one change, one piece of DNA, one protein different in the "new" species. In one organ alone, there is a vast number of changes, all of which had to take place by chance. And that's only in one organ. Multiply that by all of the structural, cellular, biochemical, behavioral, etc... changes that have to occur to evolve from one species to another, even given hundreds of thousands of years for them to happen gradually, the odds of this working out are astronomical. Apply Occam's Razor - this is not the best explanation for the diversity of life.