If a driver feels that their car is not worth insuring, they may choose to waive collision and comprehensive insurance. These types of insurance cover physical damage to the vehicle itself, and if the car's value is low, the driver might decide that it isn't worth paying for that coverage.
Liability insurance, on the other hand, is typically required by law since it covers damage or injury to others in an accident for which the driver is responsible. Uninsured motorist coverage can also be mandated or recommended depending on the state.
So, the correct responses in this context would be collision and comprehensive insurance.