Electronic roulette-type betting device having different odds at different points in time

An electronic roulette-type betting device, comprising:

• a display unit for graphically depicting a roulette bowl having a plurality of symbols wagered on by players;
• a time control unit for setting a first time limit position and a second time limit position, the display unit configured to display a video representation of a roulette ball rotating in the roulette bowl between the first time limit position and the second time limit position;
• a random generator for generating a random variable;
• an odds determination module for using the random variable to determine a winning symbol and winning odds associated with each of the symbols;
• the odds determination module configured to determine varying winning odds as a function of the random variable as the roulette ball moves between the first time limit position and the second time limit position, with the roulette ball moving in a non-circular rotation in the roulette bowl from the first time limit to the second time limit wherein the varying winning odds are determined based on the non-circular rotation of the ball as defined by the random variable such that the varying winning odds are lower for a symbol on the roulette bowl where the bowl is more likely to stop and higher for a symbol on the roulette bowl where the ball is less likely to stop;
• and
• an input unit configured to receive wagers by the players on the symbols when the roulette ball reaches the second time limit position.