I thought she wasn't interested?

AlphaAssault
This is one of those dime-a-dozen 'does she like me' questions, though there is some interesting background to this one. Several months ago, I asked a young woman no less than four times over the course of a semester if she would like to do something some time. each time I was met by an "I'm busy." or some such response. not long after my fourth attempt, I am informed by someone else that she is going through a pretty bad relationship, something the girl I was interested never told me. don't know why, she just didn't So, naturally, I stopped trying to ask her out. clearly this was a situation I didn't want to get involved in.

fast forward 6 months to the present. I have attended a number of school-hosted functions this semester, and both events the same girl that shot me down all those times last semester, comes over to where me and a few other are standing and started talking to me. didn't talk to me about anything specific. she asks why I don't dance, if I've got anything planned for Halloween, etc etc. our conversations easily stray into flirting territory, and though they are generally short, they at least go well.

I suppose this brings me to my question/s. I don't know weather or not she's still in a relationship, but I would make an educated guess that she's not. basically, should I ask her out again? I don't know why she's being friendly all of a sudden, but surely she can understand why I don't jump at the chance to ask her out. basically, I would like some insight so I don't simply repeat everything that happened 6 months ago. I would like to ask her out again, but given her previous track record, I am going to approach this situation more cautiously. insight welcome.
I thought she wasn't interested?
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