lottery vs numbers

lottery and numbers both are nouns.

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

As nouns, numbers is a hyponym of lottery; that is, numbers is a word with a more specific, narrower meaning than lottery:

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

Other hyponyms of lottery include tombola, lucky dip, numbers game, numbers pool, numbers racket, raffle, sweepstakes.

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