Dismissal letters typically say that students should not expect to get back in immediately. This is because very quick solutions tend not to be real. Yes, a majority of those who ask do get back in, at least over a period of eight months or more. Simplistically, students who are out at least eight months perform better after returning than those who returned more quickly. It is possible to have done so much damage to a record that no return, ever, can be allowed.
Board members try very hard to intervene before the record gets that bad.
Talk to a Board member, and the sooner the better. This is true when the current term is very rough even if you're not on probation. Face up the way things are going, think very carefully about why this is happening to you, and consult with someone to get help. Board members will examine your practical choices with you and also will help you to deal with a dismissal if that is what is going to happen.