Third-party insurance is a type of insurance plan bought to safeguard against the claims to another. In this category of motor insurance, the third-party will cover for the fiscal liability that is incurred by the owner of the car in the event of unforeseen demise or permanent disability of the third party, which was crashed by the vehicle of the policyholder in an accident.
Policies typically use vague language when referring to acts of terrorism, but they are generally insured by the comprehensive portion of your policy. For example, if there is an act of terror and you need to make a claim on your car, that can only be made if you have comprehensive coverage. Since some circumstances are out of our control, comprehensive insurance is certainly important to have in your policy.
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.
Comprehensive insurance is commonly confused with collision. They both insure your car but cover different events. Collision covers car accidents, and comprehensive covers events out of your control. Think of it like this: Collision is colliding with something else (other than animals). Comprehensive is basically all other events. Accidents with animals are covered by comprehensive (and not collision) because these accidents are considered out of your control.