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.
When you purchase comprehensive coverage, you will select a set deductible, which is the amount you pay out of pocket toward a covered claim. Let's say you choose a $500 deductible, and your car is later damaged by hail in a covered claim. If it costs $1,500 to repair your car, you would pay your $500 deductible, and your insurance would pay the remaining $1,000.