A university class has 23 students: 9 are nursing majors, 6 are accounting majors, and 8 are psychology majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that two nursing majors will be selected? Do not round your intermediate computations. Round your final answer to three decimal places.