The Gambler's Fallacy is the mistaken belief that if an event happens more frequently than normal during a given period, it will happen less frequently in the future. In lottery terms, this often leads players to choose "cold" numbers, thinking they are "due" to be drawn.

Independence of Trials

Each Australian Powerball or Oz Lotto draw is a completely independent event. The physical balls used in the machine have no memory of previous weeks. The probability of any specific number appearing remains identical in every single draw, regardless of its past history.