Two of the three are illegal. Only a game of skill, in which you have the ability through human proficiency to control the final outcome, is legal at a carnival. A flat is a game where you have no chance of winning no matter how dexterous you are. Harold, you could have been a past singles champion on the PBA tour and you still couldn't knock those bottles over. The game is surreptitiously controlled by the game operator-which may have occurred at the carnival you attended.
Chance games involve no control over the final outcome.
A chance game is also illegal because it's gambling, which, without a gaming license, is prohibited in all states. Because leveling coke bottles should be based solely on skill, not chance, this is what separates it from a gambling device. Coke Roll, the game you mentioned in your question, consists of two coke bottles set up on a platform five feet away. The object is to roll the ball down the platform and knock both standing coke bottles over with one ball. Note, Harold, that the ball you were given is not a regulation softball but one that is much lighter in weight.