Freshman Transfer Chances

Hey I’m currently a freshman at Binghamton University and I applied to Stony Brook as a Transfer student, they told me they want to see my spring grades before they make a decision, how likely is it that they have seats available during that time because my grades come out @ the end of May. My first term GPA was a 3.375, and my GPA this semester I’m guessing is around that maybe a bit higher like a ~3.4/5, I took classes like Calc 1 and 2, along with a writing class and some other general classes. What are my chances of being accepted into Stony Brook ? Not sure if they care about recommendations, but I had my professor write me one anyway.

Thanks in advance