1. I like playing billiards on a pocketless table.

2. I like playing four-ball billiards with a pocketless table.

3. I like playing three-ball billiards on a pocketless table.
------------------------------
Does #1 mean either #2 or #3?

1. I like playing billiards on a pocketless table.

2. I like playing four-ball billiards on a pocketless table with four balls.

3. I like playing three-ball billiards on a pocketless table with three balls.

1) is related to 3), 3) is more specific to the game.

2) implies the table is playing with you. In some pool halls, the tables often are seemingly playing against me: They are warped.

LOL, Bob!

Yes -- 1 and 3 are similar. 2 should not be used!

No, #1 does not necessarily mean either #2 or #3. #1 implies that the person enjoys playing billiards on a pocketless table, but it does not specify whether they prefer playing four-ball or three-ball billiards specifically. The statement in #1 is more general and doesn't provide enough information to determine if either #2 or #3 is true.