I don't think its 100% approval. I'm pretty sure they target people with credit scores between certain numbers. But they could potentially deny you for something like income (or any number of factors that didn't make the company feel warm and fuzzy about you). But there is probably a pretty decent chance you would be approved.

If you want to divulge more details (i.e., what card it is, what your past credit history is like, income, etc) I'm sure several people on this forum could give you an educated guess on your likelihood of approval.