A method of playing an object selection game (20), includes providing a set of objects containing a plurality of different individual objects, wherein each individual object has an order value in accordance with an ordering rule. A subset of the set of objects is dealt to a player in accordance with a dealing rule. A portion of the subset of objects is revealed to the player in accordance with a revealing rule. The player then selects any previously unselected object from the subset of objects in accordance with a selecting rule. After each selection, a terminating rule is used to test whether play shall stop, or whether additional objects are selected. The terminating rule stops play if objects are not selected in proper sequential order in accordance with the ordering rule. After play is stopped, a score is computed in accordance with a scoring rule. In preferred embodiments, the set of objects are playing cards, and a wager is placed on the outcome of the game.