My mom slipped and fell at the YMCA. Is it possible to sue?

My parents had gone to the local YMCA to swim. After swimming, my mom went to the locker room to change. Just as she entered the locker area, she slipped and fell, breaking her elbow and tearing her meniscus in her knee. She has a cast on her arm and a brace on her leg, both on the left side of her body.

The area she slipped and fell at is tile on one side and carpet on the other.

I have not spoken to any lawyers yet. I want to know if we can sue or not. It’s something we are discussing, and I thought I could come here for advice on what to do.