If I roll two dice once I have twice the probability of getting any number at least once, if I roll a dice twice my probability to roll the same number in a row doesn´t change.

What the fuck kind of fsick sigma algebra is this? Shouldn´t the chances become "stored" in the system otherwise, I could throw a coin an intinite amount of times and somehow end up having all heads even though I'm just as likely to get tails.