An automobile manufacturing plant produced

36

vehicles today:

17

were trucks,

13

were sedans, and

6

were vans. (Each vehicle falls into only one of these categories.) 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 two vans will be selected?

Do not round your intermediate computations. Round your final answer to three decimal places.