Methods and apparatus for a casino game

A method for playing a casino bonus game for a casino base game, comprising the steps of:

• a) establishing in the play of the casino bonus game a plurality of paths, each of which paths includes a plurality of positions with at least one value position there between;
• b) moving along a player selected path provided with a random selection;
• c) providing at least one position having an outcome;
• d) awarding the player values based upon the outcome associated with positions landed upon, and
• e) relating a random frequency of the bonus game to the probability of landing on each position and to the value of each position so a predetermined range for a house advantage is maintained in the casino.

A method for playing a casino game of chance, comprising the steps of:

• a) establishing in the play of the casino game a plurality of paths, each having at least two positions;
• b) allowing a player to select one of the plurality of paths in the play of the casino game of chance;
• c) moving along one of the plurality of paths selected by the player in step b) according to chance;
• d) providing at least one position having an outcome;
• e) awarding the player values based upon the outcome associated with the selected path in the play of casino game of chance, and
• f) relating a random frequency of the bonus game to the probability of landing on each position and to the value of each position so a predetermined range for a house advantage is maintained in the casino.

A casino game of chance for at least one player comprising:

• a) a game surface accessible and visible to the player in the casino;
• b) a plurality of paths on the game surface arranged for player selection of one path, each path having at least two positions beginning at start position, and finishing at end position;
• c) at least one position having an outcome;
• d) movable indicia on the game surface, the movable indicia for showing the position on a selected path of the player;
• e) a mechanism of chance carried on the game surface and available to the player in the casino, the mechanism of chance for determining movement along the player selected path and awarding the player values associated as the outcome with positions along the selected path, and
• f) structure in the casino game of chance to relate a random frequency of a bonus game to the probability of landing on each position and to a value of each position so that an expected value of each of the paths is approximately identical for a house advantage is in a predetermined range.