fan tan vs gambling game

fan tan and gambling game both are nouns.

Word	Noun	Adjective	Verb	Adverb
fan tan	Yes	No	No	No
gambling game	Yes	No	No	No

As nouns, gambling game is a hypernym of fan tan; that is, gambling game is a word with a broader meaning than fan tan:

fan tan: a Chinese gambling game; a random number of counters are placed under a bowl and you gamble on how many will be left (0, 1, 2, or 3 modulo 4)
gambling game: a game that involves gambling

Other hypernyms of fan tan include game of chance.

fan tan (noun)	gambling game (noun)
a Chinese gambling game; a random number of counters are placed under a bowl and you gamble on how many will be left (0, 1, 2, or 3 modulo 4)	a game that involves gambling