Abstract: A horse race betting game includes a playing board with three columns, a first column representing the finish positions of the horses entered into a race, a second column representing the number of the race and a third column representing the horses which are entered into the race. The playing board also has thereon the record times for each of several track lengths. Included with the game is a relatively large number of horse race cards. These cards contain precomputed horse race finish times for a given horse by track length and track condition and also include the odds of winning for the particular horse for each track condition. The game also includes a pay-off board on which is contained the winning amounts for each denominational bet and for each of the odds for winning. Each player receives a betting envelope and three designators or flags within which envelope he places his bet and a designator as to whether he is betting the horse to win, place or show.