[quote=Botnst;1575868]What you are describing is the "Gambler's Fallacy" and you are absolutely correct -- in a fair system random events cannot affect each other. But if you think about it, the probability of a combined event is itself composed of the constituent random events.quote]

No need to think about it, the method of computing the odds in a pick six game has been established for a very long time. As has the method for computint the odds in a coin toss. The 2 methods are very different because the 2 events are very different.