the like the over under wagers just discussed are best implemented in embodiments having an even number of dice or other random event generators such as prize wheels so that the set of all possible outcomes includes a u201c pivot number u201d that is a single median value within the set of all possible outcomes other embodiments may include sets of all possible outcomes which have more than a single pivot number that is two or more median values within the set of all possible outcomes in such embodiments over or under wagers may be adjusted to be over the highest of pivot numbers and below the lowest of pivot numbers the pivot number may also be referred to as the u201c house number u201d tables 1 and 2 provide a complete list of wagers illustrated in fig2 including odds of winning and payout odds of the present preferred embodiment fig4 illustrates another wager group of a preferred embodiment of the present invention wager areas 14 included in this wager group include wagers on the outcome of the roll of the red die u201c single u201d or u201c single wager u201d red and white dice u201c double u201d or u201c double wager.