Slot machine game and system with improved jackpot feature

In a network of gaming machines, each of said gaming machines being capable of accepting different wager amounts made by a player, a method of randomly awarding one progressive prize from a plurality of progressive prizes using a second game to select said one progressive prize, a display of said second game being triggered upon an occurrence of a random trigger condition having a probability of occurrence related to an amount of the wager, comprising:

• making a wager at a particular gaming machine in the network of gaming machines;
• initiating a first main game at said particular gaming machine;
• causing a second game trigger condition to occur as a result of said first main game being initiated, said second game trigger condition occurring randomly and having a probability of occurrence dependent on the amount of the wager made at said particular gaming machine;
• triggering a second game to appear at said particular gaming machine in response to said occurrence of said second game trigger condition, said second game appearing after completion of said first main game;
• randomly selecting said one progressive prize from said plurality of progressive prizes that has been won;
• displaying said second game to the player at said particular gaming machine in response to said triggering;
• identifying to the player said one progressive prize from said plurality of progressive prizes that has been won;
• and
• awarding said one progressive prize from said plurality of progressive prizes that has been won.