numbers game vs numbers pool

numbers game and numbers pool both are nouns.

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

As nouns, numbers game and numbers pool are synonyms defined as:

Other synonyms of numbers game include numbers, numbers racket.

numbers game (noun)	numbers pool (noun)
an illegal daily lottery	an illegal daily lottery