Step 1: Understanding the guest cycle
- The guest cycle refers to the stages a guest goes through when staying at a hotel, including key actions like arrival, check-in, room occupancy, and check-out. The stages help the hotel manage the guest's experience and services.
Step 2: Analyzing the options
- (A) Arrival: Arrival is the first stage of the guest cycle, where the guest enters the hotel and begins the check-in process.
- (B) Possession of room: This stage occurs after check-in when the guest is assigned a room and gains access to it.
- (C) Check-out: Check-out is the final stage of the guest cycle when the guest leaves the hotel after completing their stay.
- (D) Entertainment: While entertainment may be provided by the hotel, it is not part of the guest cycle stages, as it is an added service, not a necessary step.
Step 3: Conclusion
Thus, the correct answer is (D) Entertainment, as it is not a core stage of the guest cycle.
\[
\boxed{\text{Correct Answer: (D) Entertainment}}
\]