Third-party claims occur with less frequency in no-fault car insurance states, where you first look to your own insurance company to recover, regardless of who is actually at fault for an accident or injury. Generally, no-fault states have mandatory minimum insurance requirements, meaning that every driver carries a statutorily dictated minimum amount of insurance. If, after you’ve made the appropriate claims to your own insurance company, your claim meets your state's monetary threshold or "serious injury" threshold for stepping outside of no-fault, you may be able to initiate a third-party claim.
Pretty much all drivers are subject to the risks mentioned above, so the short answer to the question is, "Almost everybody." Take animal collisions, for example. According to the Insurance Institute for Highway Safety, there are more than 1.5 million deer-vehicle collisions every year, resulting in over $1 billion in vehicle damage — and that's just deer-vehicle collisions.
Third-party insurance is an insurance policy purchased for protection against the claims of another. One of the most common types is third-party insurance is automobile insurance. Third-party offers coverage against claims of damages and losses incurred by a driver who is not the insured, the principal, and is therefore not covered under the insurance policy. The driver who caused damages is the third party.
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If you have paid off your car, comprehensive coverage is optional. It may be a good idea to find out the Kelley Blue Book value of your vehicle. Would you be able to pay that amount to repair or replace your vehicle if it were stolen or damaged in an accident? If you can't afford to pay much out of pocket, then buying optional coverages, like comprehensive coverage and collision coverage, may be a smart investment.