A gaming system displays a plurality of bingo cards each containing at least one column, each column having at least one square. Each square includes a random number selected from a range associated with that column. The gaming system displays each bingo card and an initially-empty accumulation area. Balls are drawn from a pool of balls, each ball associated with a number. As the balls are drawn, any square on any of the bingo cards containing the number of the drawn ball is marked with a suitable indicator. A primary award is provided for combinations of marked squares on one or more of the bingo cards. The gaming system displays the balls in the accumulated area in the order in which they are drawn. The gaming system provides a secondary award for combinations of balls displayed in the accumulation area.