A system reads an identifier from a hand of cards to identify the cards.
For example, the system can read an identifier from a pair of cards
forming the initial hand in blackjack, where the one card is face up and
the other card is face down. The system determines the value of a hand of
cards form the read identifiers. For example, the system can determine a
value of an initial hand of two cards in blackjack, while only one card
is face up. The system can inform a dealer of the value, or status based
on value, of the hand. The system can determine whether cards forming a
hand of cards are authentic by validating the cards based on the read
identifier. The system can determine if the cards forming the hand of
cards are in an expected sequence based on knowledge of the initial
sequence of cards in a deck. A decision tree to validate the results of
the card game can be created to provide possible solutions or outcomes
for each hand, and then, invalid solutions can be eliminated from the
decision tree based on known card identities, rules of the game, possible
outcomes of other player hands, and other information.