At least one game matrix is generated. Number indicia are selected and any matches between the selected number indicia and the game matrix are identified. The numbers game component is resolved based on the identified matches. One or more game hands are formed by assigning a prize indicium and/or game indicium to each match. Optionally, game indicia are randomly assigned to game matrix locations lacking a match. In an embodiment based on Bingo, a game hand may be formed based on the pattern of matches. The game hand component of a game is resolved based on a comparison of the game hand to a standard, such as a pay table, dealer hand, and/or other game hands of other players. A prize component is resolved based on whether a predetermined collection of prize indicia is obtained.