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?

There are 52! (52*51*50*49*48*...*3*2*1) ways for the cards of any deck of 52 cards to be ordered. The "shuffling" was a red herring. There is 1 out of 52! chances that the second deck will be in the same order as the first deck, regardless of whether any shuffling has occurred.

Posted by Dan on 2003-09-20 07:17:41