No, your insurance provider will not be paying out on a claim for your accident so you will not receive money towards a new vehicle.
If you only have liability coverages then you do not have any coverages for your own vehicle, just coverages for others that you may cause property damage or bodily injury to.
Bodily injury liability (BI or BIL) covers other people's bodily injuries or death for which you are responsible. It also provides for a legal defense if another party in the accident files a lawsuit against you. Claims for bodily injury may be for such things as medical bills, loss of income or pain and suffering. In the event of a serious accident, you want enough insurance to cover a judgment against you in a lawsuit, without jeopardizing your personal assets.
Bodily injury liability covers injury to people, not your vehicle. Bodily Injury Liability does NOT cover you or other people on your policy.
Property damage liability (PD or PDL) covers you if your car damages someone else's property. Usually it is their car, but it could be a fence, a house or any other property damaged in an accident. Again this type of coverage does not cover your vehicle in any way but the cars and property of others that you may damage.
To be able to make a claim with your insurance company you would need to have physical damage coverages of collision and comprehensive on the vehicle. With these coverages you could make a claim for the damages your car sustained due to the tire blow out. If the car is totaled out like you stated then you would receive actual cash value (ACV) for the vehicle if you had these coverages.
When you get a replacement vehicle for your totaled out vehicle you can show for auto insurance quotes online here with us. Remember if you want your car to be covered for damages you sustain in accidents such as your tire blow out you will need to include physical damage coverages to your state required liability coverages on your policy.
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