I've taken to calling that the gambler's fallacy fallacy: the misapprehension that a randomness can only arise in situations where the events are uncorrelated. The randomness in Tetris is another good example: when you think you're due for an I, you actually are.
Tetris actually uses two entirely different algorithms, one classic and one modern. Classic is randint(1,7), modern is shuffling "decks" of the 7 pieces and repeating.