System and method for using conditional probabilities to enhance gaming payouts

A system that provides variable jackpot tickets for a game defined by a plurality of tickets that are preprinted with game content and which are associated with a deal of tickets, the deal of tickets including (i) a plurality of predetermined non-jackpot winning tickets, and (ii) a plurality of variable jackpot tickets, and wherein the plurality of variable jackpot tickets have a predefined expected value, the system comprising:

• (a) a first random number generator that executes a first random number generation to select physical locations in the deal of tickets for (i) the plurality of predetermined non-jackpot winning tickets, and (ii) the plurality of variable jackpot tickets, wherein the first random number generator uses a first prize table for the selection;
• and
• (b) a second random number generator that executes a second random number generation to select a jackpot prize for each of the plurality of variable jackpot tickets, wherein the second random number generator uses a second prize table for the selection which is different than the first prize table, the second prize table including jackpot prizes,
• wherein some of the jackpot prizes in the second prize table are less than the expected value, the difference between some of the jackpot prizes in the second prize table and the expected value being used to fund one or more jackpot prizes that are greater than the expected value.

A method of providing variable jackpot tickets for a game defined by a plurality of tickets that are purchased from an instant ticket vending machine and are preprinted with game content and which are associated with a deal of tickets, the deal of tickets including (i) a plurality of predetermined non-jackpot winning tickets, and (ii) a plurality of variable jackpot tickets, and wherein the plurality of variable jackpot tickets have a predefined expected value, the method comprising:

• (a) executing a first random number generation using a first random number generator to select physical locations in the deal of tickets for (i) the plurality of predetermined non-jackpot winning tickets, and (ii) the plurality of variable jackpot tickets, wherein the first random number generator uses a first prize table for the selection;
• and
• (b) a player purchasing one of the preprinted tickets and upon receiving a variable jackpot ticket, selecting one of the following options provided by the instant ticket vending machine:
• (i) redeeming the variable jackpot ticket for a jackpot prize which is similar in magnitude to the expected value;
• or
• (ii) redeeming the variable jackpot ticket for a jackpot prize that is potentially greater than the expected value, and which is determined by executing a second random number generation using a second random number generator using a second prize table for the selection which is different than the first prize table, the second prize table including jackpot prizes,
• wherein some of the jackpot prizes in the second prize table are less than the expected value, the difference between some of the jackpot prizes in the second prize table and the expected value being used to fund one or more jackpot prizes that are greater than the expected value.

A system that provides variable jackpot tickets for a game defined by a plurality of tickets which are preprinted with game content and which are associated with a deal of tickets, the deal of tickets including (i) a plurality of predetermined non-jackpot winning tickets, and (ii) a plurality of variable jackpot tickets, and wherein the plurality of variable jackpot tickets have a predefined expected value, the system comprising:

• (a) a first prize table;
• (b) a second prize table which is different than the first prize table the second prize table including jackpot prizes;
• (c) a first random number generator that executes a first random number generation to select physical locations in the deal of tickets for (i) the plurality of predetermined non-jackpot winning tickets, and (ii) the plurality of variable jackpot tickets, wherein the first random number generator uses a first prize table for the selection;
• (d) a second random number generator that executes a second random number generation to select the jackpot prize for at least some of the plurality of variable jackpot tickets, wherein the second random number generator uses the second prize table for the selection;
• and
• (e) an instant ticket vending machine for purchasing the preprinted tickets, the instant ticket vending machine including:
• (i) a first selection option to redeem a variable jackpot ticket for a jackpot prize which is similar in magnitude to the expected value, and
• (ii) a second selection option to redeem a variable jackpot ticket for a jackpot prize that is potentially greater than the expected value, and which is determined by the second random number generator using the second prize table,
• wherein some of the jackpot prizes in the second prize table are less than the expected value, the difference between some of the jackpot prizes in the second prize table and the expected value being used to fund one or more jackpot prizes that are greater than the expected value.