Sealed decks are most preferred... However, if the deck is not missing any cards and is rare enough an open box, or deck without any box at all can be quite costly... With regard to what Bicycle decks you own, how do you know they are from 1901 and 1905 and what style decks are they? Rider Back, Racer Back, or something extraordinarily rare - Motorette No. 1 Sealed? In addition, many of the earlier decks only contained one Joker, so this does not in any way mean that you have an incomplete deck... Pics? Preferably of the Ace of Spades and Back of deck...