poker vs poker game

poker and poker game both are nouns.

Word	Noun	Adjective	Verb	Adverb
poker	Yes	No	No	No
poker game	Yes	No	No	No

As nouns, poker and poker game are synonyms defined as:

poker and poker game: any of various card games in which players bet that they hold the highest-ranking hand

poker (noun)	poker game (noun)
any of various card games in which players bet that they hold the highest-ranking hand	any of various card games in which players bet that they hold the highest-ranking hand
fire iron consisting of a metal rod with a handle; used to stir a fire