Do you know The Fitch Cheney Five Cards Trick? The following is a much harder twist of it.
Standard 52 cards deck. Magician is outside the room. Assistant asks random guy from the public to shuffle the deck and to select 3 cards from it. Then asks another random guy to select 1 card from these three. Then Assistant lays out the three cards in a row on the table - the last selected face down, the other two face up. Then Assistant calls Magician to enter the room. Magician looks for a while the three cards on the table and names the face down card.
Question: What code is used by Assistant and Magician?
Keep the following in mind:
- There is no communication of any sort between Assistant and Magician.
- Only the three cards arranged on the table give information to Magician.
- Repeating the trick several times is safe.
- It is possible to perform this trick over phone, i.e. Assistant to tell arrangement of the three cards (naming only the two face up cards of course) to Magician.