[Henke]

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If you flip a coin, you have a 50/50 chance of getting tails, it really doesn`t matter what the outcome was of the previous flip was, does it? Even so, the probability of getting two tails in a row is .5*.5 = .25? So, it I do get tails on the first attempt, is it only 25 % chance that I get tails again, or is it 50 %?

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You have to be very strict when defining a mathematical problem. If you ask for the probability of getting two tails on two consecutive flips, the probability is 25%, but if you ask the probability of getting a tail when you know you've just had a tail, it's 50%, because the coin has no "memory".

So the probability of getting dealt AA two consecutive deals is mathematicaly not the same as the probability of getting AA the next deal, when you had AA on this one. (The cards have no memory neither.)