Yeah. Maybe enclosing a particular type of hole could give more points or something like that. Also, one could put wooden pegs with numbers or other tokens in the holes to specify points that can be gained, or those tokens that can be collected. Such modifications can make the game more replayable. (One could also use this game as a sort of fortune-telling device, since solving a game requires randomization, and a player may end up in one or the other configuration at the end of the game.)
Doesn't really account for the varying sizes of holes.