Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 61% were stolen by professionals (P), whereas 39% were stolen by amateurs (primarily for joy rides) (A). Of those vehicles stolen by professionals, 21% were recovered within 48 hours, 25% were recovered after 48 hours, and 54% were never recovered. Of those vehicles presumed stolen by amateurs, 30% were recovered within 48 hours, 64% were recovered after 48 hours, and 6% were never recovered.

Question

Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 61% were stolen by professionals (P), whereas 39% were stolen by amateurs (primarily for joy rides) (A). Of those vehicles stolen by professionals, 21% were recovered within 48 hours, 25% were recovered after 48 hours, and 54% were never recovered. Of those vehicles presumed stolen by amateurs, 30% were recovered within 48 hours, 64% were recovered after 48 hours, and 6% were never recovered.
 (a) Draw a tree diagram representing the data. 
(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 four 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.)