In traditional Tarot divination, there is a reader and a querent. The reader acts as a consultant on the Tarot, using it to illuminate an issue for the querent. The reader typically charges a small fee for this service. Some sources insist that a reader is necessary; otherwise, the prejudices of the querent will dominate the reading. Cynics might point out that this insistence is of financial value to people who derive income from reading Tarot cards.
The way to structure a two-person reading depends on the theory. In all cases, the querent asks the question and the reader interprets the fall of the cards. The fall of the cards is determined by shuffling, which may be a joint process, or it may be done entirely by the reader or by the querent.
If the theory of unconscious determination is used, then the reader should shuffle the cards, though the querent may cut them to feel more involved with the process. The reader should watch the cut carefully so the necessary information may be transmitted to the unconscious mind. The reader is skilled in determining the fall of the cards; the querent is not.
If the synchronicity theory is used, then the querent or the reader may shuffle the cards. It makes no difference, since the synchronistic meaning comes through purely random factors.
If the theory of spirits is used, then again the reader should shuffle, since ordinary people do not particularly want to channel spirits to get a Tarot reading. If they wanted to get their hands that wet, they would probably do the divination themselves. Again, having the querent cut the deck is a meaningless symbol of involvement, but the spirits arrange the deck after the querent cuts it.
If the theory of order from chaos is used, it makes no difference who or what shuffles, just as with synchronicity.
Books You Might Enjoy:
Walter Scott - Letters On Demonology And Witchcraft
Max Heindel - Ancient And Modern Initiation
Israel Regardie - The Art And Meaning Of Magic
Starhwak - The Spiral Dance
John Moore - A Modern Master Extract