Drivers whose DMV notice or court order names proof of financial responsibility as a condition of getting a driving privilege back. The common triggers are a DUI, an administrative license revocation, a points revocation, driving uninsured, or an accident while uninsured.
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There is no general rule that says a particular violation always requires a filing. The requirement comes from the state action taken against a specific driver, and the notice the DMV sends is what states it. That is why the most useful advice in this entire process is to read that notice rather than infer the answer from what happened to somebody else with a similar charge. Two drivers with the same citation can have different conditions if their records differ. If you cannot find your notice, the DMV is the office that can tell you what your record shows, and nothing on this site or any other substitutes for that.