From the Wikipedia page on Random number generation (my emphasis):
By humans
Random number generation may also be done by humans directly. However, most studies find that human subjects have some degree of nonrandomness when generating a random sequence of, e.g., digits or letters. They may alternate too much between choices compared to a good random generator.[9]
To me this means humans don't repeat choices often enough to be truly random.
This disproves the "Richman's wife theory" based on the multiple injuries to the same player that people have posted