It means that for any one car wreck that is the fault of another driver who does not have any insurance your insurance company will pay you up to $50,000 in losses and damages you suffer. If more than one person in your vehicle is injured in the wreck, the company will pay up to $100,000 to all of the persons in your vehicle who were injured and covered under the policy but no more than $50,000 for any one person.
Note that each person who is injured does not automatically get $50,000 – they must demonstrate amount of their damages and can recover up to $50,000 each.
Your policy also provides your protection if the at-fault driver was underinsured. For example, assume that the driver that hit you was from another state and had a liability insurance policy that provided the driver $10,000 / $20,000 in liability insurance coverage. That means that for any one car wreck that was the other driver’s fault his insurance company will pay a person injured in the wreck up to $10,000 in losses and damages they suffer. If more than one person is injured in the wreck, the company will pay, on the at-fault driver’s behalf, up to $20,000 but no more than $10,000 for any one person.