Casino games and methods having a set of objects displayed in a screen of a casino gaming machine. Each object has a randomly assigned attribute from a corresponding set of attributes. The casino gaming machine receives the player's input for each of a predetermined number of objects in the set. When selected, a symbol corresponding to the hidden attribute is displayed. After each input, the remaining attributes of the remaining objects not selected are randomly reassigned to each unselected object before the player selects the next object.