billiards vs pool table

billiards

noun
  • A two-player cue sport played with two cue balls and one red ball, on a snooker sized table. 

  • Any of various games played on a tabletop, usually with several balls, one or more of which is hit by a cue. 

pool table

noun
  • A table used for playing pool. 

How often have the words billiards and pool table occurred in a corpus of books? (source: Google Ngram Viewer )