In the particular area, there are just three makes of cars available: Ford (60% of the total), Renault (30%) and Honda (10%). The carburetors on Fords have the 0.09 probability of failure, those on Renaults have a 0.05 chance and those on Hondas have a 0.02 chance of failure. If a car with a failed carburetor is chosen at random, determine the probability that it is a Ford?