A monitor screen is provided on which symbols may be provided for use in video wagering games, including poker games, card games, slot games, bingo and keno. The player makes a wager to purchase a block of sequentially-playable games. The wager is the aggregate total of the wagers placed on each individual game. This aggregate total wager becomes the wager for the first game. A first partial (or intermediate) outcome of the first game is displayed. The player, having certain information about the potential final outcome from the partially displayed outcome, may choose to either: (a) play the partial first game to a final conclusion, or (b) pass by forfeiting the wager for the individual game. If the player decides to play the first game to its conclusion, the player will either lose the aggregate total wager, or win according to a predetermined paytable, in either case terminating any further play of the remaining games. If the player passes, the individual game wager is forfeited, and the partial outcome of the next sequential game in the block is displayed. The wager on this next or second game is the aggregate total wager minus the first single game wager. The process is repeated, subtracting individual passed game wagers from the aggregate total wager, until the player plays a game to its conclusion.