Even if an accident or injury was partially your fault, you still may have a claim based on the concept of comparative negligence or contributory negligence. Those terms describe the actions of an injured person that also caused their own injuries.
For example, a person who ignores a “Caution” or “Wet Floor” sign and slips and falls in a supermarket may be found to have been careless and at fault for their own injuries. However, the fact that the sign was there or was placed improperly or wasn’t around the area where the floor was actually wet or wasn’t clearly visible could mean that the property owner may also be responsible. You have a right to bring a claim even if you are partially at fault.