The relationship that most likely reflects correlation but not causation is:
Vacuuming living room carpets more often is associated with having cleaner bathrooms.
This correlation does not imply that vacuuming carpets causes the bathrooms to be cleaner. Instead, it could be that people who clean their living rooms more frequently are simply more likely to keep other areas of their home clean, perhaps due to a general habit of cleanliness. The other two relationships reflect more direct causal relationships related to frequency of specific tasks and their outcomes.