I suppose there is a third interpretation, which is that the player can mix and match between two types of randomness, and make the options in some instances of an information set correlated with some instances of an information set. This is not useful in a 1 player game, however, because any interpretation 1 type randomness does not help at all, so if the game is 1 player, you might as well just call this interpretation 2.
I suppose there is a third interpretation, which is that the player can mix and match between two types of randomness, and make the options in some instances of an information set correlated with some instances of an information set. This is not useful in a 1 player game, however, because any interpretation 1 type randomness does not help at all, so if the game is 1 player, you might as well just call this interpretation 2.