house detective vs house dick

house detective and house dick both are nouns.

Word	Noun	Adjective	Verb	Adverb
house detective	Yes	No	No	No
house dick	Yes	No	No	No

As nouns, house detective and house dick are synonyms defined as:

house detective and house dick: a private detective employed by a hotel or retail store

Other synonyms of house detective include hotel detective.

house detective (noun)	house dick (noun)
a private detective employed by a hotel or retail store	a private detective employed by a hotel or retail store