What happens if a car accident was not your fault but you were driving and you are not on the policy and the car is insured by full coverage insurance?

ANSWER

You should be OK, as long as, you had permission to drive that vehicle. In any case since you were not at fault, the other driver's insurance co. is financially responsible for all damages. However, in some other cases, it is recommendable to review the policy of the car you were driving, in case the other vehicle had a liability coverage only.