I used to work with a black guy here in the UK. He drove a very flashy BMW, always well dressed, Ray-bans and all. He told me he had never been once pulled over by the police.
However, he previously used to work for Aeroflot as a flight engineer and if he was just walking through Moscow he would be pulled over almost at every corner by police, uniformed and plain clothed, demanding to see his papers. Unless he was in uniform, then they would salute him.
Sometimes depends on where you live.
George