cumulative house advantage for the game the house advantage for any playing field in a game of chance is determined by the proportionate number of possible conclusions in a trial in the game upon which a player 39 s bets are restricted for example an american roulette wheel includes two locations on the wheel into which the ball may fall but upon which a bet is greatly restricted thus on any given spin of a 38 pocket roulette wheel the house advantage is equal to 2 divided by 38 or 0 0526 the probability of winning on a bet on any particular number on the roulette wheel must be adjusted to take this house advantage into consideration since two of the numbers are greatly restricted in the u201c betting pool u201d the actual probability for the bet must be adjusted to take the house advantage into account the house advantage of 0 0526 must be factored into the single ball probability to obtain the actual payout to a player where a house advantage is present in the upper playing field of the present invention a plurality of balls are simultaneously set into play each of those balls being subject to a house advantage for this reason to determine the upper layout payout ratio the cumulative house advantage for all of the balls must be determined the cumulative house advantage is equal to the number of unrestricted u201c bettable u201d positions divided.