"...anything random in evolution..."

Um, well...do you consider a cosmic ray altering a gene random? In some ways it isn't, but for all practical considerations there ARE 'random' events. If all you mean is that physical causality proceeds in a complex, but often unpredictable way, it's kinda trivial.

If 'chance' had not allowed the primordial 'Eve' to carry baby 'X' to term, we might not be having this discussion.