Definition of Liability
Liability is an obligation that an individual must pay according to the law. For instance, if you are negligent and your negligence causes injury to another person you are legally liable to compensate them for their injuries. Personal injury claims can decide the liability of each injured party.
Consider, however, different states will have different means to allocate damages for injuries. Some states use a contributory negligence system, which allows that if the plaintiff contributed to his injury (in some states) the plaintiff will be prevented from collecting any damages. Other states use a pure comparative negligence system, which allows the plaintiff to collect damages but reduces the amount by their contribution or fault. Other states use a comparative negligence system but the plaintiff can only collect compensation if they are 49% or less at-fault for their injuries; other states allow the plaintiff to receive compensation if they are less than 50% at-fault.
Because state laws vary for how compensation may be allocated based on each party's liability if you have been injured and you are partially at-fault for your injuries you should talk to a personal injury lawyer.