Abstract: This invention relates to a horse racing lottery game. The apparatus for the game comprises a racetrack having a plurality of starting positions and a finish line, a plurality of game pieces supported on the track and being movable therearound, there being less game pieces than players playing the game, and a plurality of groups of tickets corresponding to the game pieces such that each group has a plurality of tickets each having indicia corresponding to only one of the game pieces and indicia enabling each ticket to be distinguished from other tickets of the same group. Each player selects tickets of his choice and places the selected tickets of each group in a separate container pertaining to the respective game piece. The tickets are then shuffled, and one ticket is drawn at random from each container, thereby indicating which of the players is assigned to each of the horses running in the race.