In the horse race gaming machine 60001, orders of arrival in racing games are stored for each of the player's racehorses. If the player's racehorses, in consecutive racing games equal to or more than a predetermined number of times including a result of this racing game, have finished consecutively in a place equal to or lower than a predetermined place (S60602: YES), a part of total BET amount specified by the player for this racing game is refunded to the player (S60603). Otherwise, a part or all of insurance is paid to the player in accordance with the predetermined number. Incidentally, to have a player's racehorse run in this racing game, there may be a case that the player is required to pay an entry point given to the player in accordance with BET amount specified by the player. By the player's specifying a side bet, the player's racehorse is able to be made a race entry in any of the racing games.