The answer is criminal cases against persons and criminal cases against property.
<u>Explanation:</u>
The state court can handle criminal cases against persons like murders and assaults. Damage to property and thefts and robberies are also heard in the state court. The state court has its own criminal status, its own court system and prosecutors.
The state court handles a greater number of crimes as opposed to the federal government. However, the states have to ensure that the criminal offenses within the state boundaries are only handled by the state courts.