I will be building my very own PC soon and I brought both the Rosewill RTK 002 Anti Static Wrist Strap and Rosewill RTK-ASM Anti-Static Mat. As far as I know both the anti static mat and the wrist strap should be connected to earth. The problem is that both of those don't include a plug to wall socket. I am thinking that there must be a cable that connects the alligator clip to a wall socket like the one below:
What is this cable called (so that I can buy it online)?
I need to stand on white part of mat and connect it to a wall socket and I will be grounded?
Will I be grounded if I just connect the alligator clip from wrist strap to the alligator clip from the wrist band?
While doing my research on the internet I have found that we can connect the wrist strap to the unpainted part of case but I feel that connecting to a wall socket would be more safe.