```json
{
    "no": ["yes"],
    "yes": ["no"]
}
```

Based on the given feature description and task, we can analyze the relationship between the feature "housing" and the target variable "subscribes to a term deposit" (yes or no).

From the feature description, we can assume that the "housing" feature indicates whether the client has a housing loan or not. In the resulting dictionary, we have two keys representing the target classes: "no" and "yes". 

For the target class "no" (clients who do not subscribe to a term deposit), the possible value for the "housing" feature is "yes", indicating that these clients have a housing loan.

For the target class "yes" (clients who subscribe to a term deposit), the possible value for the "housing" feature is "no", indicating that these clients do not have a housing loan.

The lists representing the possible values for each target class are presented as strings in the dictionary.