I know, I was oversimplifying. Many primate fossils have been found but you have no evidence that any of them ever gave birth to something remotely similar to homo Sapiens Sapiens. This is a leap of Faith on your part. It is like if you have a family tree and all the youngest people are at the bottom - they are all related due to common ancestors. I guarantee that they are all People.
Natural selection is perfectly capable of design.
It didn't happen by chance. Most mutations are NOT good things. In fact, find me one bebeficial mutation in Nature. For example people with Downs Syndrome have a whole extra chromosome. Ah, but the mutation is not beneficial to survival.