An automobile manufacturing plant produced 32 vehicles today: 11 were sedans, 11 were vans, and 10 were trucks. Plant managers are going to choose two of these vehicles for thorough inspection. The first vehicle will be chosen at random, and then the second vehicle will be chosen at random from the remaining vehicles. What is the probability that two sedans will be selected?

Report your answer as an exact fraction. (If necessary, consult a list of formulas.)