Chances of Acceptance after Institutional Action
The crucial question is whether your academic transcript will indicate the expulsion/suspension. If not, then I don't think it should matter to your graduate applications at all.

If the transcript does indicate this, then you are going to have to address the issue in your cover letter. You are going to have to say how sorry you are and how much you've learned your lesson. I, personally, wouldn't hold an undergrad mistake against you, as long as I saw that you weren't likely to do it again. Others might feel differently, however you can still try.