Abstract: The game may be played with game pieces, such as cards, e.g., in poker, balls or numbers, e.g., in Bingo or Keno, The game randomly draws a first set of game pieces for a programmed number of game pieces. In one aspect of the game, the player may be given an opportunity to purchase, for an additional wager, i.e., the cost of the opportunity, additional game pieces. The cost of the opportunity is based on the potential payout and the odds of winning. The cost to the player of an additional game piece or card is a function of the potential amount of the payout if the player achieves a winning combination, and the odds of the player achieving the winning results, which is a function of the game piece needed and the game pieces remaining in the programmed number of game pieces.