Is billiards to pool what chess is to checkers?
Yes, but I think more billiards is to snooker as chess is to checkers. Checkers (or daughts as we call it in England) is a much simpler game than to learn than chess and is played on the same board as chess. Billiards is a much simpler game than snooker (or pool) but uses the same table as snooker or at least a similar table to pool and the same type of equipment, cues, chalk, … The lack of complexity / sophistication make both billiards and checkers less of a game / sport than pool or chess to me, but they are ideal for a beginner. (Both sitll require a great deal of skill to win – but ….