Abstract: The chance device (10, 10", 10'") has opposite end sections (12, 14, 70, 72) which are each identical to the other. In use, the device (10, 10", 10'") is inverted. Heavy balls (62) are caused by the inversion to drop downwardly, including through a ball passageway (44), and from the ball passageway (44) into certain ones of ball catch regions (52, 84, 86). The balls (62) are mixed as the device (10, 10", 10'") is inverted, so that the particular ball catch regions (52, 84, 86) into which they fall are entirely determined by chance. In another embodiment (10'), an oil (64) or other liquid is located within the chambers and the passageways and the balls (66) are buoyant. When the device (10') is inverted, the balls (66) float upwardly into the ball catch regions (52) located at the top of the device (10').