Many people are intestate and do not even understand what that means. You are intestate if you die without a valid last will and testament. When this happens, the probate court must follow a designated statutory plan for distributing your assets that are subject to its jurisdiction.
Each state has their own distribution plan. David M. Goldman has written a nice summary of Florida's intestate distribution plan. If you are a Florida resident without a will, you may want to take a look at what the State of Florida is going to do with your assets after you pass away.