Abstract: A device for randomly selecting numbers, having particular utility with respect to state run lottery games, comprises a substantially square base including an upper surface having a first group with 40 recessed sections, a second group with 36 recessed sections, and third through sixth groups each with 10 recessed sections; four supports at the four corners on the underside of the base for imparting energy to the balls when the device is dropped onto a surface and for supporting the base; 16 balls, 6 of which are engageable within any of the recessed sections of the first group, six of which are engageable within any of the recessed sections of the second group, and the remaining four of which are engageable within any of the recessed sections of the third through sixth groups, respectively; at least one divider integrally formed with the upper surface of the base for preventing each ball associated with one of the groups from associating with the recessed sections of any other one of the groups; a transparen