So I'm not the best at this as I feel intimidated whenever I see a group of girls. So my question is what's the best way to approach a girl in a group? I'm in a college town and when there is a group of girls with a guy they become super protective.

Last night for example I tried but kept failing and eventually just started dancing(horribly I might add)/listening to the music without trying to find a girl for the rest of the night and to my amazment a pretty cute girl approached me (I was pretty drunk and wasnt in the mood anymore so I actually didnt take her up, boneheaded move on my part). From reading this is a rare thing right? So how should I go about it so I dont have to rely on luck?

I should add that I go solo since none of my buddies like going out.