According to
National Geographic, we share 96% of our genome with chimpanzees.
The human genome is composed of
3,234,830,000 base pairs (3.2 billiion). For a given side of the DNA molecule, there are four nucleic acids that could reside in each base pair “slot”. Therefore, the probability that the human genome could have randomly generated
de novo and have the same DNA content as the chimpanzee just by chance can be expressed by the following:
(3234830000 * 0.96)^4 = 9,300,167,700,000,000,000,000,000,000,000,000,000
That is, it is a 1 in a 9.3
undecillion chance that humans could have developed a similar level of genetic content as the chimpanzee without having a common ancestor.
Those are some mighty long odds.