Abstract: In a method of operating an electronic gaming system including a machine-implemented two player symmetric game, value is received from a human user of a machine-implemented electronic game in the form of a wager on the outcome of the game. The human user is prompted to select a game option which is received via a user interface associated with a user device. The human user selects the game option such that the human user may receive a jackpot if the human user's position at the conclusion of the machine-implemented game is greater than a predetermined criteria regardless of the position of the machine-implemented game, the game is played, an outcome determined, and value transferred to the human user if the human user wins the game or if the human user's position at the conclusion of the game is equal to or greater than the predetermined criteria.

Abstract: A method of operating an electronic gaming system includes receiving value from a human user of an electronic gaming machine, initiating a machine-implemented game on the electronic gaming machine, displaying indicia representative of a game state on a display, receiving input from the human user via a user interface associated with the electronic gaming machine, determining an outcome of the game, determining an estimate of the human user's probability of winning the game, the estimate having reduced variance compared to a simple average of the human user's outcomes, taking a set, predetermined action if the estimate is outside of the predetermined limits.