The play of roulette-type game is made more enticing by offering for a single bet a range of payouts from very modest with a high frequency to very great with low frequency. This is achieved without changing the underlying roulette-type game. In a twelve-position roulette, six balls can be used to provide over a 30% chance of getting a match, while the very low probability of getting 3 or more matches provides for generous payouts. Bets can also be placed on patterns of positions of balls.