Describing a Probability Space
So there's something I just haven't been able to figure out, or haven't had a good answer to, with regard to probability. I've accepted that, in a coin toss, we distinguish between the scenario Heads-Tails and Tails-Heads, even though both of these are basically just getting one Head and one Tail. However, when we then deal with decks of cards, we don't distinguish between being dealt A-Q-K-J-(10) of hearts and being dealt (10)-A-Q-K-J. Why? I get that in the deck of cards thing order doesn't matter, these are the same hand, but then why should it matter with coin tosses? We intuitively think that Heads-Tails is, by the same logic, identified with Tails-Heads.