The game of Ultimate Three Card Poker is a version of Three Card Poker where the dealer exposes one of his three cards before the player acts. It may seem that this solves the ubiquitous “hole-card” problem for Three Card Poker, especially if the card that is flipped face-up is the bottom card from the three-card packet delivered by the shuffle machine. However, it is still possible that the player sees one of the two remaining dealer hole-cards. I considered how to beat the game in this unlikely circumstance. I note that I have never seen this game offered in a casino and have no idea if this opportunity actually exists.
Eliot Jacobson, Ph.D.