Number of Location Library students 6 Hospital 17 Nursing home 9 Tutoring center 18 locations. Here is a summary. Three students from the club are selected at random, one at a time without replacement. What is the probability that the first two students volunteer at the library and the third volunteers at the hospital? Do not round your intermediate computations. Round your final answer to three decimal places. (If necessary, consult a list of formulas.)