Does the blind law against injuries apply after I fell over a rolled up rug and breaking my wrist?

I don't know what the blind law is. Michigan holds that if you can see the object that caused you injury, then you don't have a case. It was open and obvious.

I have no idea what you are talking about. Michigan law says that despite the property owner's responsibility to keep you reasonably safe, either you must pay attention to your surroundings, or prove that you are a member of a protected class of citizens entitling you to special treatment.