Three travelers. Kathy, Larry, and Mason arrive at the All-Inclusive Luxury Resort and Spa. It is a spectacular resort where many vamtion regularly! There are 5 single rooms available. They are all adjacent to one another, on the same side of the building. The rooms are numbered 1, 2, 3, 4-, and 5. The desk clerk randomly distributes 3 keys, giving one to each traveler. Each key opens only one of the rooms. Kathy, Larry, and Mason go to their assigned rooms. in this question, we are interested in the possible assignments of the rooms to the travelers. a. Determine the total number of unique room assignments in the sample space, S, for this experiment Note that you don't need to list all of the possibilities in S. I). Find the probability that the three travelers are in rooms 1, 2, and 3. c. Find the probability that the three travelers are in three adjacent rooms. d. Find the probability that no traveler is in an even-numbered room. 9.. Find the probability that two of the travelers are in adjacent rooms, but the third traveler's room is not adjacent to either of the other travelers