Billiard game One pocket. One pocket - Version 08.03 Billiard game One pocket. One pocket is a strategic game for two players. Each player is assigned one of the corner pockets on the table. This is the only pocket into which he can legally pocket balls. The first player to pocket the majority of the balls (8) in his pocket wins the game. The game requires far more defensive strategy than offensive strategy, much unlike 8-ball, 9-ball, or straight pool.