How difficult is it to be cast in shows if you're not a theater major?

So I’m a senior in high school and I’ve done theater for all of high school and was wondering how difficult it is to be cast in shows as a freshman when you’re not majoring in theater at Syraucse? I tried to see if a minor in theater was a possibility but Syracuse says they only have around 15 students minoring in theater so I wasn’t sure if that was really much of a possibility either. I considered majoring in theater for a long time and I am very passionate about acting, I just didn’t think majoring was for me.

I don’t know about getting into the major productions but I know that Syracuse has two or three different theater clubs who put on their own shows. Anyone can join. My son has dabbled in a couple of them and says the actors in them are talented.