Methods of administering games of roulette may involve accepting a wager may from a player. A multiplier may be randomly selected from a group of fixed multipliers for a payout on the wager. A number and associated color may be randomly generated from within a range of numbers and associated colors. The wager may be resolved by determining whether the randomly generated number is identical to a randomly generated number from an immediately preceding round. A payout may be paid to the player when the randomly generated number is identical to the randomly generated number from the immediately preceding round, an amount of the payout being equal to an amount of the wager multiplied by the randomly selected multiplier. The amount of the wager may be collected for the house when the randomly generated number is different from the randomly generated number from the immediately preceding round.