White privilege can basically be summed up as this:

If you're white you can never understand what it is like for your country to have laws specifically designed to oppress your race. 

This does not mean that there aren't racist people of color, or that bad things do not happen to white people. 

What being aware of your privilege means is understanding why certain things are the way they are. It means to LISTEN to people of color when they point out injustice. Because as white people we can never truly understand what the world looks like when it is not made for us.

Louis C.K. gave the example that as a white man you can go to almost any point in history and you'll be greeted with "We have a table right here for you, Sir". To pretend that historical racism doesn't have an impact today is to truly be ignorant of your "white privilege".

Racism of the past still has lingering effects. We should all work towards a world that is more fair, and that means understanding when it isn't.