numbers pool vs lottery

numbers pool and lottery both are nouns.

Word	Noun	Adjective	Verb	Adverb
numbers pool	Yes	No	No	No
lottery	Yes	No	No	No

As nouns, lottery is a hypernym of numbers pool; that is, lottery is a word with a broader meaning than numbers pool:

numbers pool: an illegal daily lottery
lottery: players buy (or are given) chances and prizes are distributed by casting lots

Other hypernyms of numbers pool include drawing.

numbers pool (noun)	lottery (noun)
an illegal daily lottery	players buy (or are given) chances and prizes are distributed by casting lots
	something that is regarded as a chance event