Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 62% were stolen by professionals, whereas 38% were stolen by amateurs (primarily for joy rides). Of those vehicles stolen by professionals, 28% were recovered within 48 hours, 24% were recovered after 48 hours, and 48% were never recovered. Of those vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 61% were recovered after 48 hours, and 6% were never recovered.

(a) Draw a tree diagram representing the data. (Do this on paper, your instructor may ask you to turn in this work.)

(b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours? (Round your answer to two decimal places.)

(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)