penny ante vs poker

penny ante and poker both are nouns.

Word	Noun	Adjective	Verb	Adverb
penny ante	Yes	No	No	No
poker	Yes	No	No	No

As nouns, poker is a hypernym of penny ante; that is, poker is a word with a broader meaning than penny ante:

penny ante: poker played for small stakes
poker: any of various card games in which players bet that they hold the highest-ranking hand

Other hypernyms of penny ante include poker game.

penny ante (noun)	poker (noun)
poker played for small stakes	any of various card games in which players bet that they hold the highest-ranking hand
a business deal on a trivial scale	fire iron consisting of a metal rod with a handle; used to stir a fire