What I meant was that after shuffling, all orders are not equally likely. The ones that are "close" to the previous one will be a lot more likely. That probably

What I meant was that after shuffling, all orders are not equally likely. The ones that are "close" to the previous one will be a lot more likely. That probably doesn't change the conclusion that it's "very unlikely" that two independent decks are shuffled into the same seqeunce, but it sure means that the chance of getting the same sequence back again after shuffling the same deck is a lot larger than 1e-89.