Garry Baldy asked below if you could beat Three Card Poker using knowledge of all of the cards held by a full table of players. Unfortunately, the answer is no.

Number of Player Cards Known/Edge
3/-3.37
6/-3.28
9/-3.18
12/-2.99
15/-2.80
18/-2.60
21/-2.30
22/-2.22


The last line represents a table of 7 players, 3 cards each, and one burn card (or bottom card). So, with knowledge of 22 cards, and computer-perfect play, we still have a horrible -2.22% game. (Aside from slight imprecision probably due to simulation, these numbers agree with Stanley Ko's numbers.)

The bottom line is that you need to get (at least) one of the dealer's cards.

(I'll get to GB's other questions a bit later today.)