A casual friendship with someone might mean that there really close to you. That whenever you see them wherever it may be at you say hi. Or that whenever you tell them a secret you can trust them to keep it a secret. Or if you or they are having a bad day you try to cheer each other up. This is a casual friendship with a close friend to me. I hope this helped you. Have a good day. :)
A casual friendship, is you see each other in the hallway and wave, a close friendship is when you see each other in the hallway and you run at each other, cause you haven't seen them since yesterday.