2 people each shuffle a deck of 52 playing cards thoroughly.
What is the probabilty of both decks being in the EXACT same order after shuffling?
We disregard the first deck, because no matter what its order is, we are trying to make the second deck match. This can be seen as the probability that shuffling the first deck produces a premutatoin, which is 1.
The probability that the first card of the second deck matches the first is 1/52. After that, 1/51, 1/50, etc. So, multiplying the solution is 1/(52!).
-Agent 00pi: Totally irrational
Solution
