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Game Shrink Interactive and Rhode Island Hold 'Em
GSI (Game Shrink Interactive) plays Rhode Island Hold 'Em
optimally. Rhode Island Hold 'Em is a three card poker game invented
by Jiefu Shi and Michael Littman. The main difference between Rhode
Island Hold 'Em and Texas Hold 'Em is the number of cards in
play. Here is how the game of Rhode Island Hold 'Em is played:
- Each player pays an ante of 5 chips.
- Each player is dealt a single card, placed face down. This is the
player's hole card.
- After receiving the hole cards, the players take part in one
betting round. Each player may check, or bet if no bets have been
placed. If a bet has been placed, then the player may fold (thus
forfeiting the game), call (adding chips to the pot equal to the last
player's bet), or raise (calling the current bet and making an
additional bet). In Rhode Island Hold 'Em, the players are limited to
3 raises per betting round. In this betting round, the bets are 10
- After the betting round, a community card is dealt face up. This
is called the flop. Another betting round take places at this
point, with bets equal to 20 chips.
- Another community card is dealt face up. This is called the
turn card. Another (and final) betting round takes place at
this point, with bets equal to 20 chips.
- If neither player folds, then the showdown takes place.
Both players turn over their cards. The player who has the best 3-card
poker hand takes the pot. In the event of a draw, the pot is split
evenly. The ranking of hands is given below.
Hand rankings for 3-card poker
Hands in 3-card poker games are ranked slightly differently than
5-card poker hands. The main differences are that the order of flushes
and straights are reversed, and a three of a kind is better than
straights or flushes.
|1||Straight flush||0.00217||Three cards with consecutive rank and the same suit. Ties are broken by highest card.||King spades, Queen spades, Jack spades|
|2||Three of a kind||0.00235||Three cards of the same rank. Ties are broken by the card's rank.||Queen spades, Queen hearts, Queen clubs|
|3||Straight||0.03258||Three cards with consecutive rank. Ties are broken by the highest card rank.||3 clubs, 4 spades, 5 hearts|
|4||Flush||0.04959||Three cards of the same suit. Ties are broken by the highest card rank, then second highest card rank, then third highest card rank.||2 diamonds, 5 diamonds, 8 diamonds|
|5||Pair||0.16941||Two cards of the same rank. Ties are broken by the rank of the pair, then by the rank of the third card.||2 diamonds, 2 spades, 3 hearts|
|6||High card||0.74389||The hand is ranked according to the highest ranked card in the hand. Ties are broken by comparing the highest ranked card, then the second highest ranked card, and then the third highest ranked card.||Jack clubs, 9 hearts, 2 spades|
An Ace may be used in a straight as either Ace-two-three or
Queen-King-Ace. In the case of the former, the highest ranked card of
the straight is the three.
Note that within a single game of Rhode Island Hold 'Em, the same
player is first to act in each betting round. The player who is first
to act changes after each game.
This program requires the Java Run-time Environment (JRE) to be
installed on your computer. Visit Sun's
Java website for information on downloading and installing the JRE
if you don't already have it installed.
Send questions, comments, and bugs to Andrew Gilpin.
Andrew Gilpin and Tuomas Sandholm have computed Nash equilibrium
strategies for Rhode Island Hold 'em. Click here to
play Rhode Island Hold 'Em against the optimal opponent.
Last updated: August 24, 2005