Single Room Dorm as a Freshman

It appears there are a limited number of single room options as a freshman. Does anyone know how many are available and the odds of being able to get one? My daughter has been accepted. She submitted her application on Aug. 1 at 3:00 PM but wasn’t sure if that was early enough? Thank you!

It’s hard to know; it may depend on ADA accommodation requests. Is this single needed as an accommodation?