Bingo system with discrete payout categories

A gaming machine, comprising:

• a network interface;
• a storage medium;
• a payout device;
• at least one display device;
• and
• at least one logic device configured to perform the following tasks:
• control a first display of a bingo game according to bingo game information received via the network interface;
• determine a bingo payout amount for a result of the bingo game;
• select, from a global bingo paytable, a selected Class III payout amount from a plurality of Class III payout amounts corresponding with a first Class III game theme and the bingo payout amount, wherein each Class III payout amount in the plurality of Class III payout amounts corresponding with the first Class III game theme and the bingo payout amount is weighted in proportion to a probability of the Class III payout amount and the selected Class III payout amount is selected based on the weights,
• wherein the global bingo paytable includes Class III payout amounts and corresponding Class III game outcomes from a plurality of different Class III game themes including the first Class III game theme,
• wherein the Class III payout amounts correspond to payout amounts of the Class III game themes, and
• wherein the Class III game outcomes correspond to game outcomes of the Class III game themes;
• control a second display of a simulated Class III game outcome based on a Class III game outcome corresponding with the selected Class III payout amount;
• and
• determine whether there is a difference between the selected Class III payout amount and the bingo payout amount.