An automobile manufacturing plant produced 38 vehicles today: 15 were trucks, 10 were sedans, and 13 were motorcycles. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that the first vehicle selected is a sedan and the second vehicle is a motorcycle? Do not round your intermediate computations. Round your final answer to three decimal places.