at least one display device;

at least one input device;

at least one processor; and

at least one memory device which stores a plurality of instructions, which when executed by the at least one processor, cause the at least one processor to operate with the at least one display device and the at least one input device, for each play of a game, to:

(a) select one of a plurality of component symbols;

(b) designate one of a plurality of prediction symbols;

(c) display said designated prediction symbol to a player;

(d) change a prediction symbol modifier as a result of said displayed prediction symbol;

(e) change a separate match symbol modifier if said prediction symbol matches said selected component symbol;

(f) if said prediction symbol does not match said selected component symbol:

(i) form at least two symbol sets based on said prediction symbol, wherein one of said symbols sets includes the selected component symbol;

(ii) enable the player to input a prediction of which formed symbol set includes the selected component symbol;

(iii) display the selected component symbol to the player; and

(iv) change a separate correct symbol set prediction modifier if the player correctly picked which symbol set includes the selected component symbol;

(g) repeat steps (a) to (f) until each of said plurality of component symbols is displayed, wherein for each of the plurality of changes of said prediction symbol modifier, said prediction symbol modifier is changed regardless of whether said prediction symbol matches said selected component symbol and regardless of whether the player correctly picked which symbol set includes the selected component symbol; and

(h) cause an award to be provided to the player, said award based on a mathematical operation applied to said prediction symbol modifier, said match symbol modifier and said correct symbol set prediction modifier.