球台 is a generic term — context tells you which sport.
乒乓球台 = ping-pong table;
台球桌 (or just
球台) = pool/billiards table;
桌球台 is the Taiwan-flavored phrasing for billiards. The traditional form
球檯 uses
檯 (alt:
枱) instead of
台, reflecting the wood-table origin.
