Game played on a billiard table (4)
(Other definitions for pool that I've seen before include "Puddle - game with balls" , "Kitty; a billiard game" , "Game played on a table with six pockets" , "share" , "Put into common fund for sharing" .)
(Other definitions for snooker that I've seen before include "Cue sport" , "Game played with 15 red balls, six of other colours and a white one" , "Potting game" , "Indoor ball game" , "Game played with cues" .)