Abstract: The present invention is designed specifically to comply with gaming regulations to provide an electronic video poker game, an electronic slot machine, an electronic twenty-one game or an electronic craps game in which the players are competing against each other to win from a common pool and are not wagering against the house. The house retains an pre-established commission. When a player stops playing his machine, he can cash out his accrued credits for an amount determined by the value of the common pari-mutuel pool. The present invention also provides for pari-mutuel pools to be distributed to all coin columns in a predetermined manner so as to allow all participants (not only the ones who play maximum coins) to be able to win a predetermined mathematical proportional share of the pari-mutuel jackpot pool (progressive payouts).