In a random number selector using a selection ball, a first selector is provided with a passage and a plurality first pockets each associated with a symbol and operable to receive the selection ball. A second selector is provided with a plurality of second pockets each associated with a jackpot and operable to receive the selection ball. A guide member guides the selection ball which has been passed through the passage in the first selector to the second selector. In a bingo game machine, a first bingo game using only the first selector and a second bingo game using both of the first selector and the second selector are performed.