Do I need a plumber?

[Matt Rasich]

I was hoping to fix this issue myself but I don't know where to start. Pictured is my basement drain overflowing with water - it only happens when the washer machine is draining into the sink. I have no problem when I run the water in the sink by itself. I've owned my place and washer (new) for about a year and a half without an issue. I have no idea what the solution is. Any help would be appreciated.