I am thinking of buying a used vehicle. I can choose from one of three types: a hatchback, a sedan, or an SUV. There are 9 hatchbacks I am considering, of which 3 have antilock brakes. There are 10 sedans I am considering, of which 6 have antilock brakes. There are 6 SUVs I am considering, of which 3 have antilock brakes. (a) If I choose at random from all of the vehicles I am considering, what is the probability that the vehicle I choose will be an SUV with antilock brakes? (b) If I first choose a type of vehicle at random and then choose a vehicle of that type at random, what is the probability that the vehicle I choose will be an SUV with antilock brakes