I would like to apologize in advance if any of my information on the biology side of this discussion is incorrect, because unfortunately it is not my strongest scientific subject on account of my being subtly encouraged to view it with distrust.
I've recently debated the of subject of evolution with my father, I made the argument that when viewed over several million years random mutation provides a more than adequate explanation for humans having evolved from a common ancestor with chimpanzees. Then he got this derisive look on his face a waved his hand saying "evolution's explanation for everything is the amount of time involved."
So I decided I would examine this mathematically. According to evidence, humans diverged from chimps 6-8 millions years ago. (Smithsonian) The average rate of mutation in humans is approximately 10 per generation, meaning that one has approximately 10 base pairs changed in your DNA that one didn't inherit from either parent. (Harvard) The average mammalian genome has approximately 3 billion base pairs.
So with those demonstrable facts established let us consider the math. I'm going to work under the assumption that each generation of animal produces offspring at the average age of 20, meaning that in 6 million years there will have been 300,000 generations. Multiplying that by 10 for the average number of mutations and then by 2 to factor in both parents, I arrive back at 6 million as the number of base pair changes over this period of time. Now dividing that 6 million by the 3 billion total base pairs only brings me to a total possible change of 0.2% even doubling it to include the chimpanzee's divergence only gets me to 0.4%. Which is only a third of the way to the 1.2% difference that must be explained. Plus this simple equation that I devised doesn't factor in the possibility that not every one of these 6 million changes is unique.
Now I don't consider it likely that I found a hole in this theory that has been missed by every evolutionary biologist and geneticist over the last 100 years. So does anyone know of a reasonable explanation for this discrepancy? Is there some issue with my math that I am unaware of?