If you are supremely confident that you've solved many problems with "no experience" you know you can solve many more.
It helps with bringing the interviewer with you also. It's actually important to stay humble and think out loud. Don't aim to have all the answers. Aim to find the answers "as a team" and give them a positive preview of how working with you is pleasant.
I've aced every interview, perhaps because I only interview for roles I am intellectually curious about and I do a lot of research beforehand "for fun."