I have heard that flipping a coin or rolling dice hinders children's understanding of "sample spaces". Also that it may create for further disasters later in students' math careers when unequally likely probabilities begin to pop up.
One solution is the game of "pass the pig" using a pig which lands on its snout, side, feet, etc.
Are there any other games or activities out there which will be helpful to students? Any other suggestions on how to present this material?