poker rules

2005-06-23T04:34:00.000-07:00

Whether Fans Tune In Or Turn Out, Americans Are Loving Poker The cards were flying and the chips were splashing at the Washington State Poker Championship played out at a cardroom in Renton. There were 13 people left from a field of 198 who had started the previous day playing Texas Hold'em. Only the top 10 finishers would win any money.
But that's poker rules . And that's why millions of Americans are watching it on television, and playing it across living room tables, at casinos and card rooms, online and even on the Microsoft campus and in a University of Washington classroom.
Microsoft has a poker-related e-mail list. According to employee Sheemiwas Kelkar of Bellevue, "People ask questions about certain hands, sometimes people share stories, sometimes news like big upcoming tournaments. Stuff like that."
A recent Microsoft tournament attracted 300 employees and raised approximately $26,000 for charity.
Why the interest in poker there? "There is a lot of intellectual challenge," Kelkar said. "It takes a lot of math skills, among other things."
A course titled "Learn Poker for Fun and Profit," taught by this writer, was added to the UW's Experimental College last year and will be taught twice during spring quarter there and at Discover U at Northgate. Of course, friendliness comes with the expectation that a newcomer will leave some money behind. Experienced players consider this a "tuition" payment.
An inexpensive way for new players to experience the game is to enter one of the many small tournaments proliferating in the Northwest. In some cases $10 or $20 can buy hours of card-playing. Always ask about the rules, structure and cost of a tournament before you enter.
Pepper Uno, manager of a cardroom, thinks poker will continue to grow in the Northwest and nationally. The increased television coverage of tournaments -- especially the World Poker Tour on the Travel Channel -- continues to draw more and more new players into the game.
"The people I play golf with don't play poker, but they're talking to me about which player played which hands on TV," Uno said. "They're talking about the details of the hand, and I can't even remember the last hand I played a lot of the time."
Many of the tournaments on the Travel Channel are no-limit Texas Hold'em. In this game, each player receives two "hole" (private) cards. After a round of betting, three shared cards are exposed in the center of the table. Each player can use those cards to improve his/her hand.
After another round of betting, a fourth community card is turned up. That card is followed by another round of betting; one last community card is turned up and a final round of betting occurs. Then the remaining players turn up their two hole cards, and whoever has the best five-card poker hand wins. If more than one player has the same hand, the pot is split evenly among the winners.
In no-limit Texas Hold'em, a player can bet everything at any time -- going "all in" -- which fuels drama. The beauty of televised poker is that tiny cameras show the audience each player's hidden hole cards, something their opponents can only guess. The viewers see the bluff coming or know when someone is "drawing dead" with no way to win.
Just imagine yourself in one of those games playing for hundreds of thousands of dollars. You are running low on chips and know you have to do something soon. You push all your chips into the middle and say, "All in."
Your opponent stares intently at you, looking for a "tell" (a sign of weakness or strength). You struggle to keep your breathing even, looking only down at your hands, which feel like lead weights.
Suddenly one of your eyelids twitches. You're sure everyone saw it and knows that you are on a bluff! After 30 seconds that feel like molasses dripping from a spigot, your opponent folds, tossing her cards.
You act bored and indifferent as you stack the large pile of chips that the dealer has shoved over to you.
This is the type of action that is making poker such a spectacle and so inviting for players. "The game is growing very, very fast. The local tournaments have twice the number of people in them than they had a year or two ago," said Peter Fisher, a semi-retired 80-year-old physician from Seattle who often can be found at the final table of the many tournaments he enters each year.
He is impressed by his fellow players. "They are a conglomerate of people -- the doctor, the lawyer, the bricklayer, the policeman, the professional poker player -- everybody at the poker table is a little bit of all of America."

poker rules one on one

2005-06-09T00:53:00.000-07:00

1 on 1 poker Rules
One-on-One Poker is a great way to pass the time with your favorite Player, or just to try something different for a change. It's intense and you have to be quick on your feet!
Games that offer One-on-One Poker
•Texas Hold'em •Omaha Hi •Omaha Hi-Lo •7 Card Stud •5 Card Stud
The Rules of One-on-One Poker
The rules of One-on-One poker are the same as those of the parent game with just a few exceptions:
•Naturally, only two Players can sit at the table •There is not limit to betting rounds •The buy-in-limit is set by the card room. Players are informed when they are seated whether their buy-in amount is sufficient

Texas Hold 'Em poker rules

2005-05-24T23:02:00.000-07:00

Texas Hold 'Em Poker Rules February 12, 2005
Texas Hold 'Em (or Texas Holdem) is the version of Poker played in many casinos, and seen on the Travel Channel's World Poker Tour and ESPN's World Series of Poker. These are the basic rules for Texas Hold 'Em Poker.
The Shuffle, The Deal and The Blinds
The dealer shuffles a standard 52-card deck.
Most Texas Hold 'Em Poker games start with the two players to the left of the dealer (the button) putting a predetermined amount of money into the pot before any cards are dealt, ensuring that there's something to play for on every hand.
This is called "posting the blinds." Most often, the "first blind" -- the player to the left of the dealer -- puts up half the minimum bet, and the "second blind" puts up the full minimum bet.
Each player is dealt two cards, face down. These are known as the "hole cards."
Betting Begins
A round of betting takes place, beginning with the player to the left of the two who posted the blinds. Players can call, raise, or fold when it's their turn to bet.
The Flop
After the first betting round, the dealer discards the top card of the deck. This is called burning the card and is done to ensure that no one accidentally saw the top card, and to help prevent cheating.
The dealer then flips the next three cards face up on the table. These cards are called the "flop."
After the flop, another round of betting takes place, beginning with the player to the left of the dealer (the button). During this and all future rounds of betting, players can check, call, raise, or fold when it's their turn to bet.
Fourth Street
The dealer burns another card and plays one more face up onto the table. This, the fourth community card, is called the "turn" or "Fourth Street."
The player to the left of the dealer (the button) begins the third round of betting.
Fifth Street
The dealer burns another card before placing the final face-up card on the table. This card is called the "river" or "Fifth Street."
Final Betting and The Winner
Players can now use any combination of seven cards -- the five community cards and the two hole cards known only to them -- to form the best possible five-card Poker hand.
The fourth and final round of betting starts with the player to the left of the dealer (the button).
After the final betting round, all players who remain in the game reveal their hands. The player who made the inital bet or the player who made the last raise shows their hand first.

7 Card Stud Poker rules

2005-05-13T11:17:00.000-07:00

7 Card Stud Poker rules

7 Card Stud Poker is one of the easiest games to learn, and is used throughout most households today. The object of the game to finish with the best poker hand and win the pot. As they say, know when to hold and know when to fold. Read carefully though, consider your strategy and follow these tips to increase your chances of winning:
If the cards you need to help improve your hand are visible in your opponents hands, consider them dead to you
There are 13 cards in a suit. You need five of them to make a flush, if the cards you need happen to be in your opponents' hand you have no chance of them being dealt to you, however, if you can't see them, it means that it is still possible to receive those cards
A "big pair" is worth betting on, unless another player is betting aggressively on what seems to be a very good hand
Fifth Street is a make or break point. As the bet amount doubles each round, ensure your hand can produce a win at the end of the game. This will minimize your loss
It is advisable to fold if another player's exposed cards beat your entire hand
If you are trying to compete a Straight, check to see if another player displays the cards you need. You can then adjust your strategy accordingly
Fold when necessary. 7 Card Stud poker is a game of patience; so do not bet all your money on losing hands. 7 Card Stud rewards patience above all other virtues!

MS Texas Hold 'em 2.01

2005-05-12T09:23:00.000-07:00

MS Texas Hold 'em 2.01 Review

You hear the word Poker and it conjures up images of a table in a dark corner with smoke curling up to the ceiling as guys, hunched over their cards, are all deep in thought. Why not take the game to the tech age with reports and predictions to help you along?

Texas Hold'em gives you this and more with a simulated game table, whereby you can set table poker rules complete with screen players, cards, chips, and pot. You can even turn on autoplay to watch a game in action that you do not even participate in.Texas Hold 'em is, just as the name implies, a program that simulates the special type of poker where each player starts out with 2 Hole cards that they play with a varying number of community cards.As the application opens, a green game board appears with an empty Kitty (Pot) box.

After you select Play, and then, click on the Deal box, every player on the screen board automatically dealt 2 cards and an amount appears in the Pot box. One red poker chip next to a player designates the small blind. That is, that player has a small mandatory amount of money that he has to bet. Your hand has a box with 7 buttons over your two face-up cards. In the title bar is the amount that it costs you to stay in the game. As your cursor passes over each button, the complete function appears both in the Status bar and in the tool tip.First there are 3 basic action buttons: Raise, Call, and Fold.

Then the Max and Min buttons tell you the maximum and minimum amount that you can raise. Lastly, the Info button opens you up to a whole other world of poker analysis. The Poker Calculator gives you the pot to bet ratio and gives you chances and odds to 1. The Wins and Stays gives you just that as well as wins and money ratios. You can also select Last-card Details, Extended Reports and Quit This Hand.After you Raise or Call, community cards appear as other players up the Ante or Fold. Finally the hand is over and the winner is declared in a bright green box with the amount won in poker chips.

All players now have their hole cards face-up next to each player, with whether they raised or folded and what cards they played. To start a new hand, just click on the Deal box. During a hand you can keep track of what is going on by watching the Status bar.What about practicing your weak plays? No problem. On the Main menu you can select Table Rules and Rig the Game specifying which Card or Card Types of each individual players you want to rig. You will know you have set this by seeing “This game is rigged!” You can also set Betting Limits and Action Control, that is, how fast the game is played. Selecting Strategies allows you to create many different card scenarios. This is also a great help in your progress toward becoming a poker expert.

Rules to Play Omaha Poker.

2005-05-11T08:59:00.000-07:00

Omaha Poke rules may resemble Texas Hold’em in the fact that it is a game played with five community cards but the game is quite different. There are two variations of the game, Omaha High only and Omaha Hi/Lo split. It can be played with the betting being a structured Limit game or you can find No Limit and Pot Limit games. I will use the Limit Omaha High game in the explanation about how to play.
The rules of the game are fairly easy to learn. Limit Hold'em has structured betting, and the lowest limit you will usually find in most casinos is a $2/$4. Other limits you may find are 5/10 or 10/20 or higher. I will be using the 32/4 game as an example in this book. That means the minimum bet is three dollars during the first two rounds of betting and the minimum bet is six dollars during the last two betting rounds. These same limits are used when you raise as well.

The Dealer
Since the casino supplies a dealer one player must be the designated dealer who will act last during the betting rounds. A disk or "Button" is used to identify the dealer and this is rotated to the left after each hand. Unlike stud, all the players do not ante each round. Blind bets are
posted to generate a starting pot just the way that they are in Texas Hold’em.

The Start
To start a new hand two "Blind" bets are put up or "Posted." The player immediately to the left of the player with the dealer button puts up or "posts" the small blind which is approximately half the minimum bet. The small blind for the $2/4 game is one dollar. The player to the left of the small blind posts the big blind which is equal to the minimum bet which is two dollars for this game. The rest of the players do not put up any money to start the hand. Because the button rotates around the table, each player will eventually act as the big blind, small blind and dealer. It will cost you three dollars every time the deal makes a complete rotation around the table.

The Opening
After the blinds are posted each player is dealt four cards face down with the player on the small blind receiving the first card and the player with the dealer button getting the last card. The first betting round begins with the player to the left of the big blind either putting in two dollars to "Call" the blind bet, or putting in four dollars to "raise" the big blind or folding his hand. The betting goes around the table in order until it reaches the player who posted the small blind. That player can call the bet by putting in one dollar since a dollar bet was already posted. The last person to act is the big blind. If no one has raised, the dealer will ask if they would like the option. This means the big blind has the option to raise or just "check."

The Flop
After the first betting round is completed the dealer will "burn" or discard the top card on the deck. This is done to make sure no one could have accidentally seen the top card. Three cards are dealt and turned face up in the middle of the table. This is known as the "Flop." These are community cards used by all the players. Another betting round begins with the first active player to the left of the dealer button. The minimum bet for this round is also three dollars.

The Turn
When the betting round after the flop is completed, the dealer burns another card and turns a fourth card face up in the middle of the table. This is referred to as the "Turn." The minimum bet after the turn is now four dollars and begins again with the first active player to the left of the button.

The River
Following the betting round for the turn, the dealer will burn another card and turn a fifth and final card face up. This is called the "river," and the final betting round begins with four dollars being the minimum bet. There is usually a three or four raise maximum during all betting rounds except if the play becomes heads up with two players. Then the raises are unlimited.

The Showdown
To determine the winner, the players MUST use two of his hole cards and three cards from the "Board" to form the highest five-card hand. In some rare cases the best hand will be the five cards on board. In that case the active players will split the pot. A sixth card is never used to break a tie.

Flop It, Fit It Or Fold - Poker Rules

2005-05-07T15:31:00.000-07:00

A quick look at the rules to play poker after the flop.

I have discussed the importance of position and starting hands when deciding to enter a pot. The next decision you have to make is whether to continue or fold after you see the flop. It is said that the flop defines your hand. That is because after the flop your hand will be 71% complete. Where does this figure come from? Assuming you play your hand out to the end it will consist of seven cards. After the flop you have seen 5/7 of the final hand, which is equal to 71 percent. With this much of you hand complete you should have enough information to determine whether to continue or not.
Deciding to continue playing after the flop is not as easy as choosing a starting hand. There are only 169 two-card combinations for starting hands but there are thousands of possible hands that can be made with five cards. As a beginner you will want to use the Fit or Fold criteria for deciding to continue playing the hand. If the flop "Fits" by improving your hand or gives you a draw to a four card flush or open end straight you should play. If your hand does not improve you should fold.
This may sound very simplistic but there are other considerations you need to make even if you have a drawing hand. You have to read the board closely after the flop. Many players in low limit games will play any two suited cards. If the flop shows two cards of the same suit there is a good chance one of the other players could be on a flush draw. If the flop gave you open ended straight you could be a loser if the other player makes a flush.
Players in low limit games also like to play any ace regardless of the kicker with it. For this reason you have to be very careful when you see an Ace flop. If you are holding a small or medium pair and there is a bet and raise with an ace on board you should fold. If you entered the pot with a small pair in late position you should fold if you do not make a set on the flop.

Trips Vs Sets
If you have a pair in the pocket and a third card appears on the flop you have a set. If you have a card in the pocket that is matched by a pair that flops you have trips. As a beginner you may feel that both are three of a kind and should be treated the same. This is not true. A set is more powerful than trips. When there is a pair on board another player could have the fourth (case) card giving him trips as well. With a pair on board you also must be careful of the chance of another player having a full house.
Many times the flop will not fit any player. It is for this reason that you want to play solid starting hands. If you have a card in your hand that is higher than any card on the flop, it is called an overcard. If there are not many players left in the hand you may chose to play if you hold two overcards. Before you consider this you must be certain that the flop did not give someone a flush or a straight. You need to be aware that the more people in the hand the more of a chance that someone will have a pair. If someone bets before you, your safest move would be to fold with just overcards.
Learning to read the board is an important skill you will need to develop even when you follow the fit or fold method for playing your hand.
Sometimes a flop will fit our hands but we can still be a loser when someone has flopped a stronger hand. I made that mistake the second time I played in the casino. Here is what happened.

Rules to host a Home Texas Hold'em Poker Tournament!

2005-05-06T12:12:00.000-07:00

Running the Game: Rules to host a home Texas Hold'em Poker Tournament!

Length of Rounds
The rounds are twenty minutes each and the blinds go up after each round. You can purchase an inexpensive digital cooking timer for about five dollars to keep tack of the time. With this structure a limit tournament will last 3 – 4 hours.
Dealing
We rotate the deal during the beginning of the tournament. As players get knocked out someone will usually volunteer to be the dealer. If you plan to do this you should have a dealer button handy to use.
Moving Players
If you have more than one table you will need to balance them as players get knocked out. If there are more than two players missing from one table you will need to move one from the table with the most players. The responsibility should fall on the person running the tournament.
When moving players, try to move the player in the same relative position as the empty seat. Some tournaments will deal a card to each player at the table with the most players and the one with the high card must move.

Coloring up Chips
There are usually 20 players in our home game so after round 5 we color up the green chips. With 10 players or less you probably don’t need to do this but with 20 there are a lot of green chips on the table. We give the players either black chips or red chips to take the green chips out of play. (I.e. if they get one black for each 4 green chips or a red if they had 20 green etc.)
If there are odds green chips 1-2-or 3 we race off for them. Each player is dealt one card for each odd chip they have. If they have one chip they get one card, 2 chips they get two cards. You add up all the odds chips if there are 8 green chips that equal 2 black chips.
The players with the two highest cards get one black chip a piece. No player can win more than one chip in the race so if a player has two of the highest cards you them got to the next highest to determine who gets the next chip.

Poker Rules Updated Information

2005-05-03T18:42:00.000-07:00

Poker Rules:

The game is played with a standard 52-card deck although some variant poker games use multiple decks. Since you are most likely a beginner there is no need to worry about that at this time. Each card has a rank and the ace can be the high and low card in most games. Following is the rank of the cards for most poker games from lowest to highest: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace. There are four suits of equal value in a deck of cards: clubs, diamonds, hearts and spades.
Poker hands contain five cards and the highest hand usually wins the pot (although there are some games where the low hand wins a share of the loot). Some poker games use wild cards and jokers, but right now we will just focus on the basics.

Variations of Poker Rules!

2005-04-29T09:04:00.000-07:00

7-card Stud: a variation on poker rules.
3 to 5 players can play this game. The initial deal is two cards down and one card up to each player. The first betting round starts with the highest hand showing or for the first round the high card. Then another card is dealt up and another betting round this is repeated until there are four cards face up. Then a final card is dealt down and a final betting round held. The ranking of the hands are the same as regular poker except to take the five best cards out of the ones you are dealt. Variations on the game is to allow wild cards and a five of a kind. This is personally my favorite kind of poker.

5-card Stud: another variation on poker rules. This is played much like 7-card stud only with 5-cards. The initial deal can vary in this game and depends on how your group wants to play. 5 card stud is usually dealt either 2 down, 3 up, or 1 down, 4 up, or 1 down, 3 up, 1 down. Once again it is played exactly like 7-card stud with betting rounds held when each new card is put down. Variations can be the use of wild cards and the rank of hands are the standard one in poker.

poker rules. You people don't really know the rules of poker, check what the search engines tell...

2005-04-28T08:43:00.000-07:00

poker rules 1786 1529 official poker rules 227 194 rules of poker 225 193 free rules for poker 197 169 rules for poker games 190 163 poker game rules 130 111 texas hold em poker rules 112 96 hoyle poker rules 102 87 texas holdem poker rules 102 87 poker card game rules 93 80 basic rules of poker 86 74 rules playing poker 63 54 poker run rules 58 50 rules for poker 41 35 texas hold'em poker rules 34 29 strip poker rules 32 27 free poker rules 25 21 learn poker game rules 25 21 roberts rules of poker 23 20 omaha poker rules 21 18 rules for strip poker 21 18 game poker rules 19 16 three card poker tournament rules 19 16 3 card poker rules 18 15 poker tournament rules 17 15 rules of strip poker 16 14 poker texas hold rules 13 11 rules of texas hold em poker 13 11 online poker rules 12 10 poker dice rules 12 10 poker rules for hi low game 12 10 rules for poker card games 12 10 rules to poker 12 10 the rules to poker 12 10 home poker rules 11 9 texas hold 'em rules poker full house 11 9 texas hold poker rules 11 9 basic poker rules 10 9 poker rules texas 10 9 rules for playing poker 10 9 texas poker rules 10 9 world series of poker rules 10 9 limit poker rules 9 8 poker hand rules 9 8 texas hold em poker rules pdf 9 8 rules poker 8 7 texas hold 'em poker rules 8 7 texas hold-em poker rules 8 7 three card poker rules 8 7 baseball poker rules 7 6 card game poker rules 7 6 caribbean stud poker rules 7 6 no limit poker rules pdf 7 6 poker betting rules 7 6 robert's rules of poker 7 6 rules for lesbian poker 7 6 rules on texas hold'em poker 7 6 simple rules of poker 7 6 what are the rules to texas holdem poker 7 6 world series of poker texas holdem rules 7 6 carribean stud poker rules 6 5 community poker rules 6 5 no limit holdem poker rules 6 5 pai gow poker rules 6 5 rules for three card poker 6 5 the rules of poker 6 5 tournament rules three card poker 6 5 world poker tour rules 6 5 betting rules poker 5 4 crazy pineapple poker rules from ultimate bet 5 4 mackintosh poker rules 5 4 poker flush rules 5 4 poker hands rules 5 4 poker rules of the house 5 4 rules bridge or poker 5 4 rules of hold em poker 5 4 rules on how to play poker 5 4 rules on poker hands 5 4 texas holdem poker tournment rules 5 4 texax poker rules 5 4 world poker tournment + texas hold'em rules 5 4 chinese poker rules 4 3 complete dealing poker rules how to book 4 3 hold em poker multi table tournament rules pdf 4 3 hoyles poker rules 4 3 indian poker betting rules 4 3 offical poker rules 4 3 official rules of poker 4 3 penny poker and rules 4 3 poker + rules 4 3 poker dice rules pdf 4 3 poker prison rules 4 3 poker rules and regulations 4 3 poker rules for baseball 4 3 poker rules omaha 4 3 poker rules terminology 4 3 poker texas holdem rules 4 3 rules acey deucy poker 4 3 rules for poker dice 4 3 rules for polish poker 4 3 rules for three card stud poker 4 3 rules of omaha poker 4 3 rules to play poker 4 3 shady lady poker rules 4 3 texas hold + poker + rules 4 3 texas hold'em poker flush rules 4 3 5 card draw poker rules 3 3 5 card stud poker rules 3 3 according hoyle poker rules 3 3 basic rules for poker 3 3 card games poker rules 3 3 card rules for poker 3 3 community poker rules andnot texas internet online holdem 3 3 different poker game rules 3 3 easy poker rules 3 3 five card draw poker rules 3 3 flop poker rules biloxi 3 3 four card poker rules 3 3 free printable rules for basic poker 3 3 gai pow poker rules 3 3 hold em poker rules 3 3 hold'em poker rules 3 3 house rules for home poker 3 3 mexican poker rules 3 3 no limit poker rules 3 3 no-limit holdem poker rules 3 3 now that you have read the texas holdem poker rules 3 3 omaha hi poker rules 3 3 poker rules 3 3 poker and rules 3 3 poker pool game rules 3 3 poker rules cards 3 3 poker rules instructions 3 3 poker world series rules 3 3 rules + strip poker 3 3 rules for a home poker game 3 3 rules for texas holdem poker 3 3 rules of poker blinds 3 3 rules of poker games 3 3 rules of poker league 3 3 rules of texas holdem poker 3 3 rules online penny poker 3 3 rules strip poker 3 3 rules to canadian poker 3 3 standard rules for poker 3 3 stud poker rules 3 3 texas holdem poker rules and regulations 3 3 texas holum poker rules 3 3 tournement poker rules 3 3 357 poker rules 2 2 anaconda poker rules 2 2 basic rules for playing poker 2 2 bicycle poker rules 2 2 black jack poker rules 2 2 downloadable rules for poker 2 2 flop poker rules 2 2 flush in poker rules 2 2 free printable rules for basic poker offline play 2 2 free strip poker rules 2 2 free texas holdem poker rules 2 2 hold em poker multi table tournament rules 2 2 how to play poker and the rules 2 2 hoyle rules for poker 2 2 las vegas poker rules 2 2 let it ride poker rules 2 2 liar's poker rules 2 2 maverick poker rules 2 2 no limit hold 'em poker rules 2 2 offficial poker rules 2 2 official holdem poker rules 2 2 official poker rules for 7 card hi chicago 2 2 official rules texas holdem poker 2 2 official rules texas holden poker 2 2 omaha poker game rules 2 2 party poker rules 2 2 pineapple poker rules 2 2 poker + tournament rules 2 2 poker billiard rules 2 2 poker dice & rules 2 2 poker pool rules 2 2 poker rules according to hoyle 2 2 poker rules according to hoyle, free online 2 2 poker rules and games 2 2 poker rules and payouts 2 2 poker rules and winners 2 2 poker rules five card stud 2 2 poker rules full house 2 2 poker rules games 2 2 poker rules games' 2 2 poker rules good cards 2 2 poker rules hands 2 2 poker rules hoyle 2 2 poker rules official 2 2 poker rules on cheating 2 2 poker rules river 2 2 poker rules spit 2 2 poker rules texas hold em 2 2 poker rules tournament directors association 2 2 poker texas hold em rules 2 2 poker tie rules 2 2 poker tournement chip rules 2 2 roberts poker rules 2 2 rules and penny poker 2 2 rules bridge poker andnot whist 2 2 rules for card game poker 2 2 rules for draw poker 2 2 rules for sex poker 2 2 rules for stip poker 2 2 rules for the game of poker 2 2 rules for xxx poker 2 2 rules in poker 2 2 rules michigan poker 2 2 rules of poker 2 2 rules of michigan poker 2 2 rules of playing poker 2 2 rules of poker game of texas shoot out 2 2 rules of texas hold'em poker 2 2 rules poker omaha 2 2 rules poker pool 2 2 rules poker texas hold 'em 2 2 rules to play different poker games 2 2 shady lady poker game rules 2 2 tahoe poker rules 2 2 texan hold'em poker rules 2 2 texan holdem poker rules 2 2 texas hold 'em poker rules all-in 2 2 texas hold them poker rules 2 2 texas hold'em poker game rules 2 2 texas hold-em rules poker 2 2 texas hold-em rules poker flush two 2 2 texas poker home rules 2 2 value of poker chip rules 2 2 wild card poker rules 2 2 world championship of poker rules 2 2 world poker tour texas hold'em rules 2 2 world series of poker rules 2 2

More Poker Rules!

2005-04-27T07:21:00.000-07:00

Omaha Poker Rules:
Omaha is a community card game with four betting rounds.

One player is the dealer; this position is called the button (the dealer position moves clockwise after every hand).
The two players to the left of the dealer are the small blind and the big blind. They are the only players who have money in the pot before the cards are dealt.
Every player receives four cards face down, called hole cards.
The first betting round begins with the player sitting to the left of the big blind and continues clockwise.
When the first betting round is finished three community cards are flipped face up on the table, this is called the flop.
The second round of betting begins with the first player left of the button and who is still in the hand. The betting continues clockwise.
When the second round of betting is finished a fourth community card is flipped face up on the table, this is called the turn.
The third round of betting begins with the first player left of the button and who is still in the hand. The betting continues clockwise and the bets are doubled on the turn.
When the third round of betting is finished a fifth community card is flipped face up on the table, this is called the river.
The fourth round of betting begins with the first player left of the button and who is still in the hand. The betting continues clockwise.

More on Poker rules!

2005-04-26T15:59:00.000-07:00

If you've never played Poker, and are looking for a poker room to try; an online Poker site should probably be your first stop to find out more about Poker rules. They have "play" money tables set up, so you can spend some time getting comfortable with how online poker works, without having to risk any real money.

Poker Tournaments Rules!

2005-04-25T11:45:00.000-07:00

Poker Tournaments rules discusses poker tournaments including single table tournaments and multiple table tournaments for poker games such as Texas Hold'em, Omaha High, Omaha 8 or Better, Seven Card Stud, Stud 8 or Better, and more. Including Limit, Pot Limit, and No Limit poker tournaments. You can also play in freeroll poker tournaments or find high stakes poker games.

Poker Rules - How to Play Poker

2005-04-23T14:29:00.000-07:00

Poker uses a standard pack of playing cards, 52 cards (there are some poker games that uses more or less depending on the variations such as adding wild cards like jokers). According to the Poker rules the card ranking is as follows Ace (the highest), King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2 (the lowest), Ace (this may also be the lowest card depending on the variations you are using, but it is usually the highest).
There are four suits (spades, hearts, diamonds and clubs). No suit is higher than another. All poker hands contain five cards, the highest hand wins.
The use of Wild Cards depends on the variations, wild cards take on whatever rank or suit you want it to take. A wild card can either be a seperate card added like a joker or you may specifiy a certain card in the standard deck to be wild (such as dueces wild).
The number of cards dealt is dependant on what type of game you are playing: in 5 card stud, you are dealt five cards; in 7 card stud, you are dealt seven. I know this is obvious, but I don't want anyone to get confused. Five card draw is the standard poker game where 5 cards are dealt to each player face down.

Poker Rules - Hand Rankings (Poker Hands)

2005-04-22T10:24:00.000-07:00

Poker rules begin with the type of hands you can have. A poker hand consists of 5 pocket cards. Poker hands fall into one of several categories, such as flush, straight, or two pair. The player whose hand is in the higher category wins. If two players have hands in the same category, the tie is broken usually by who has higher cards. Below is a table of the hand categories, highest to lowest.

Texas Hold'em Poker Rules
Texas Hold'em is arguably the most popular form of poker. It is widely considered to have the most strategy of all poker games, yet the rules are quite simple. Here is how a hand of Texas is played:

Hole Cards: Each player is dealt two cards face down.
The Flop: Three cards are dealt face up on the table.
The Turn: A fourth card is dealt to the table.
The River: Finally, a fifth card is dealt to the table.
The five cards on the table are community cards. Your hand is formed by taking the best poker hand you can by using any five out of the seven cards (5 community + 2 hole cards). But remember, all the players have access to the community cards. When played for money, there is a round of betting after a round of cards is dealt (so four rounds of betting in total).

Other Poker Game rules
1. 7 Card Stud
2. 7 Card Stud Hi/Lo
3. Omaha
4. Omaha Hi/Lo
5. Chinese Poker

Poker rules

2005-04-15T17:11:00.000-07:00

Bayesian poker rulesKevin B. Korb, Ann E. Nicholson and Nathalie JitnahSchool of Computer Science and Software EngineeringMonash University, Clayton, VIC 3168 AUSTRALIAfkorb,annn,njitnahg@csse.monash.edu.auAbstractpoker rules is ideal for testing automated reason-ing under uncertainty.It introduces un-certainty both by physical randomizationand by incomplete information about op-ponents’ hands. Another source of uncer-tainty is the limited information available toconstruct psychological models of opponents,their tendencies to blu, play conservatively,reveal weakness, etc. and the relation be-tween their hand strengths and betting be-haviour. All of these uncertainties must beassessed accurately and combined eectivelyfor any reasonable level of skill in the gameto be achieved, since good decision makingis highly sensitive to those tasks. We de-scribe our Bayesian poker rules Program (BPP),which uses a Bayesian network to model theprogram’s poker rules hand, the opponent’s handand the opponent’s playing behaviour con-ditioned upon the hand, and betting curveswhich govern play given a probability of win-ning. The history of play with opponents isused to improve BPP’s understanding of theirbehaviour. We compare BPP experimentallywith: a simple rule-based system; a programwhich depends exclusively on hand probabil-ities (i.e., without opponent modeling); andwith human players. BPP has shown itselfto be an eective player against all theseopponents, barring the better humans. Wealso sketch out some likely ways of improv-ing play.1 INTRODUCTIONpoker rules is an ideal vehicle for testing automated reason-ing under uncertainty. poker rules is a game intermediatebetween chess and chance: there are important oppor-tunities for the exercise of strategic planning, tacticalskills and the astute observation and learning of theabilities and tendencies of opponents; and there are im-portant elements of uncertainty, making all of learning,planning and execution dicult. Uncertainty entersthrough the direct introduction of physical random-ness by shuing; it also enters into the game throughthe player’s incomplete knowledge of the state of op-ponents’ hands. In addition, poker rules is famously a gameof psychology eective modeling of one’s opponentsand eective blung are critical for success. Finally,poker rules is a game all about betting, and betting be-haviour is the foundation and origin of our most pow-erful formalization for coping with uncertainty, namelyprobability theory, as well as our most powerful philo-sophical theory of uncertainty, namely Bayesianism(Ramsey, 1931). Considering all of these factors, itis somewhat surprising, ten years after Judea Pearl’sseminal presentation of eective computational mod-els of probabilistic reasoning (Pearl, 1988) that poker rulesis only now beginning to be studied as an applicationdomain. Here we present one such implementation ofve-card stud poker rules using Bayesian networks, begunwith (Jitnah, 1993) and brought to a competitive levelof play recently.There has been some prior work on automated poker rulesplay. Findler (1977) used a combination of a proba-bilistic assessment of hand strength with the collectionof frequency data for opponent behaviour to supportthe renement of the models of opponent. The fre-quency data were collected separately for each oppo-nent and each round of play (in his \Bayes 4" model).Koller and Pfeer (1997) present a framework, basedon an augmented game tree, for generating and solvingimperfect information games such as poker rules. Althoughtheir algorithm nds optimal randomized strategies intime polynomial with respect to the game tree, thesize of the game tree for full poker rules is still prohibitive.They suggest abstracting the problem by partition-ing the game tree into clusters. Our representation is--------------------------------------------------------------------------------Page 2 a Bayesian network model, rather than a game tree,however we reduce the problem size using abstractionby using hand types.Most recently, Billingset al.(1998) have investigatedthe automation of the poker rules game Texas Hold’em.They combine probability tables for current handstrength, the probability of a hand improving dur-ing play, frequency data for opponent behaviour, andplaying heuristics. Their work models opponents ina weighting scheme relating hand strength to bettingbehaviour. Our work similarly uses frequency data tolearn by updating the conditional probability of bet-ting behaviour given the state of the opponent’s hand,and it also models opponents, but does so more ex-plicitly as a subnet in a Bayesian network. Hold’em isan interesting poker rules variation, but has the drawbackthat all known (up) cards are shared by all the play-ers. This means that the potential of any hand is (insome sense) assessed against an average hand, sincenothing is known explicitly about opponents’ hands,except what has been revealed by the opponents’ be-haviour. Stud poker rules, which we have chosen to study,reveals partial information about each hand duringplay, requiring that information to be combined withobservation of behaviour to assess the potential of anopponent’s hand.In Section 2, we describe ve-card stud poker rules and howa probability of winning is optimally used to select anaction given the current size of the pot. In Section 3 wedescribe a simple Bayesian network which compactlyrepresents two-person poker rules and provides an estimateof the probability of winning after each card is dealt.In Section 4 we discuss the betting (playing) curves,functions for probabilistically converting pot odds anda winning probability into an action, and our proce-dure for optimizing them. We also discuss blungas a method for further camouaging hand strengthstrategically. Then in Section 5 we describe the exper-iments we have conducted to test the eectiveness ofour program. Finally, we discuss some likely ways ofimproving the program (Section 6).2 FIVE-CARD STUD poker rules2.1 THE GAMEIn ve-card stud poker rules, after an ante (an initial xed-size bet), players are dealt a sequence of ve cards, therst down (hidden) and the remainder up (availablefor scrutiny by other players). Players bet after eachup card is dealt, in a clockwise fashion, beginning withthe best hand showing. The rst player(s) maypassmake no bet, waiting for someone else to open betting.Bets may becalled(matched) orraised, with up tothree raises per round. Alternatively, a player facinga bet mayfoldher or his hand, i.e., drop out forthis hand. After the nal betting round, among theremaining players the one with the strongest hand winsin a \showdown". The strength of poker rules hand typesis strictly determined by the probability of the handtype appearing in a random selection of ve cards (seeTable 1). Two hands of the same type are rankedaccording to the value of the cards (without regardfor suits); for example, a pair of Aces beats a pair ofKings.Table 1: poker rules Hands: weakest to strongestHand TypeExampleProbabilityBustedAK J}10}40.5015629Pair2 2}J 840.4225703Two Pair5 5Q QK0.0475431Triple77 7 3 4}0.0211037Straight (sequence)3 45 6}70.0035492Flush (same suit)AK7420.0019693Full House7 7}710}100.0014405Four of a Kind3 3 3}3J0.0002476Straight Flush3 4 5 6 70.00001342.2 POT ODDS & PROBABILITIESA basic decision facing any poker rules player, given that abet is on the table, is whether to call or fold one’s hand(ignoring the possibility of raisingpro tem). Assumingprobabilitypof winning the pot if the hand is played toa showdown,n1 opponents remain in the game andan expected costkof reaching the showdown, then thethreshold probability of winning required to make thedecision to call a bet can be worked out from thepotodds. Lettingfbe the size of the nal pot andcthecurrent size of the pot, then, following Zadeh (1974):1pot oddsZ=kf k(1)=kc+ (n1)k(2)This assumes that the nal size of the pot minus thecurrent player’s future contribution will be the currentsize of the pot plus equal contributions by all otherplayers. The calling thresholdZidenties the proba-bility of winning at which the expected values of call-ing a bet versus folding are equal. By the standardrelation between probability and odds,Zis then:Z=pot odds1 + pot odds(3)1One approximation here is that this ignores any play-ers who contribute to the pot in the future but fail to stayto the showdown. In two-player games, that case does notarise. Billings et al. (1998), incidentally, give (1) incor-rectly as pot odds =k=f(in our notation; see p. 496).--------------------------------------------------------------------------------Page 3 =kc+nk(4)Zadeh’s formula (2) for pot odds is not quite right,however, because the costkof reaching the showdownis not the same for all players. Since the contemplatedscenario is matching someone else’s bet, it will clearlycost the decision maker one more bet to reach theshowdown than at least one opponent. As a better ap-proximation, we can assume that the current player isin the middle of the table i.e., midway between therst bettor and the last person called upon to matchthat bet. In that case, (2) should be replaced by:pot odds =kc+ (n1)kn12u(5)whereuis the size of the betting unit. Givenu= 1and the restriction to a single opponent (n= 2), whichcurrently applies to BPP, the denominator becomesc+k1=2. However, this formula reects a falseuncertainty as to BPP’s position at the table: sincethe basic decision we are considering is whether to call,and not to bet, the correct formula is:pot odds =kc+k1(6)So, nally, by (3)=kc+ 2k1(7)If we can compute an accurate probability of winning,then by comparison with we can make reasonabledecisions about whether to call or fold. By extension considering the degree to which our estimated win-ning probability exceeds that threshold when it does we can make reasonable decisions about bets andraises as well. (Adjustments for randomization andblung are discussed below.) The main problem is toassess winning chances accurately. This clearly is notsimplya matter of the probability that the hand youhave now, if dealt out to the full ve cards, will endup stronger than your opponent’s hand as far as youcan see it (i.e., its upcards), if it is also dealt out. Fortesting purposes, however, we do use just such a pro-gram as an opponent to BPP: at each decision point itsimulates enough hand completions to have an excel-lent estimate of the probability of winning, going bythe current known cards alone, and it uses this prob-ability alone for decision making.2Such a pure combinatorial probability is clearly of in-terest, but it ignores a great deal of information thatgood poker rules players rely upon. It ignores the \tells"that some poker rules players have: facial tics, pupil di-lation, dgeting, etc., revealing abnormally strong or2This program is due to Jon Oliver.weak hands; it also ignores current opponent bettingbehaviour and the past association between bettingbehaviour and hand strength. Without a robot’s sen-sory apparatus, our program is in no position to dealwith tells, but it does account for current betting be-haviour and learns from the past relationship betweenopponents’ behaviour throughout the game and theirhand strength at showdown. The learning can be par-ticular to a specic opponent or it can combine infor-mation across opponents.3 A BAYESIAN NETWORK FORpoker rules3.1 NETWORK STRUCTUREBPP uses a simple Bayesian network structure (Fig-ure 1) for modeling the relationships between currenthand type, nal hand type and the behaviour of theopponent. We maintain such a network structure foreach of the four rounds of play (the betting roundsafter two, three, four and ve cards have been dealt).The number of cards involved in the current and ob-served hand types, and the conditional probability ma-trices for them, vary for each round: in eect, then,we use four distinct Bayesian networks to govern play.OPP CurrentOPP ActionOPP UpcardsOPP FinalBPP FinalBPP CurrentBPP WinMCFMCFMUCACMFigure 1: Bayesian poker rules networkThe nodeOPP Finalrepresents the opponent’s nalhand type, whileBPP Finalrepresents BPP’s nalhand type; that is, these represent the hand types theywill have after all ve cards are dealt. Whether ornot BPP will win is the value of the Boolean variableBPP Win; this will depend on the nal hand types,deterministically when the hand types are dierent,and probabilistically when the hand types are equal.BBP’s nal hand is an observed variable after the nalcard is dealt, whereas its opponent’s nal hand type--------------------------------------------------------------------------------Page 4 is observed only after play ends in a showdown. Atany given stage in the game, BPP’s current hand typeis represented by the nodeBPP Current(an observedvariable), whileOPP Currentrepresents its opponent’scurrent hand type. Since BPP cannot observe its op-ponent’s current hand type, this must be inferred fromthe information available: the opponent’s upcard handtype, represented by nodeOPP Upcards, and the oppo-nent’s actions, represented by nodeOPP Action. Notethat until the nal roundBPP Current,OPP CurrentandOPP Upcardsrepresent partial hand types (e.g.,three cards to a ush).In order to keep the network structure a simple poly-tree, we have made certain assumptions. In particular,the current network structure assumes that the nalhand types are independent and that the opponent’saction depends only on its current hand; we discussthe relaxation of these assumptions in Section 6.3.2 HAND TYPESThe nodes representing hand types were initially givenvalues which divided hands into the nine categories ofnal hand reported in Table 1 (Jitnah, 1993). Thisproduced a level of play comparable to a weak ama-teur. Since any busted hand, for example, is treatedas equal to any other, BPP would bet inappropriatelystrongly on middling busted hands and inappropri-ately weakly on Ace-high busted hands. The lack ofrenement of paired hands also hurt its performance.In principle we could provide a dierent hand typeto each poker rules hand that has a distinct value, sincethere are only nitely many of them. That nite num-ber, however, is fairly large from the point of view ofBayesian net propagation; for example, there are al-ready 156 dierently valued Full Houses. We opted fora modest additional renement, moving from 9 handtypes to 17 types, subdividing the busted hands intobusted-low (9 high or lower), busted-medium (10 or Jhigh), busted-queen, busted-king and busted-ace; wesubdivided pairs likewise. This appears to be sucientto achieve quite good results in ve-card stud amateurplay. If we were to move to games involving more dealtcards (e.g., seven-card stud) or games with wild cards,we would need to further rene the higher categoriesof hand, as they would appear more often.3.3 CONDITIONAL PROBABILITYMATRICESThere are four action matricesMAjCcorrespondingto the four rounds of betting. These report the con-ditional probabilities per round of passing or callingversus betting or raising, given the opponent’s currenthand type. BPP adjusts these matrices over time, us-ing the relative frequencies of these behaviours. Sincethe rules of poker rules do not allow the observation of hid-den cards unless the hand is held to showdown, thesecounts are made only for such hands. This is likely tointroduce some selection bias into the estimates of con-ditional probabilities, but we have not yet attemptedto determine the nature of the bias.The four matricesMUjCgive the conditional probabil-ities of having a given hand showing on the table whenthe opponent’s hand (including the hidden card) is ofa certain type. The four matricesMCjF(used for bothOPP CurrentandBPP Current) give the conditionalprobability for each type of partial hand given that thenal hand will be of a particular kind. These matri-ces were estimated by dealing out 10,000,000 hands ofpoker rules.3.4 BELIEF UPDATINGBelief updating is done by standard Bayesian net prop-agation rules (Pearl, 1988). Given evidence forBPPCurrent,OPP UpcardsandOPP Action, belief updat-ing produces belief vectors for both players nal handtypes and, most importantly, a posterior probabilityof BPP winning the game.4 RANDOMIZATION4.1 BETTING CURVESAs described above, the calling threshold identiesthe probability of winning at which the expected val-ues of calling a bet versus folding are equal. Proba-bilities substantially higher than should in generallead to bets and raises; probabilities much lower topasses and folds. However, if a player invariably betsstrongly given a strong hand and weakly given a weakhand, other players will quickly learn of this associa-tion; this will allow them to better assess their chancesof winning and so to maximize their prot at the ex-pense of the more predictable player. Therefore, weuse betting curves, such as that of Figures 2, to ran-domize the actions of BPP in a way dependent uponthe probability of winning. The horizontal axis showsthe dierence between that probability and ; the ver-tical axis is the (unnormalized) probability of a givenaction: fold, call or bet (raise). The normalized prob-abilities are used to stochastically select an action inany situation.The playing curves are generated by the following ex-ponential functions (wheredis the winning probabilityminus andfis a parameter adjustable for each roundof play):bet=raise prob =11 +e8(d fb)(8)fold prob =11 +e8(d+f f)(9)--------------------------------------------------------------------------------Page 5 00.10.20.30.40.50.60.70.80.91-1-0.8-0.6-0.4-0.200.20.40.60.81action probabilityd = probability - theta"fold""call""bet"Figure 2: Final round betting curves (fold, call, bet). The horizontal axis is the dierence between the probabilityof winning and ; the vertical axis is the (unnormalized) probability of the action.call prob =e20(d+f c)22(10)Idealfparameters will select the optimal horizontaldisplacement of each curve relative todand therebythe optimal balance between conservative and ag-gressive play. For example, if the folding curve isshifted to the right relative to the calling curve, moreconservative play will result, with even moderatelystrong hands perhaps being dropped. Or if the bet-ting/raising curve is shifted to the left, more aggressiveplay will result.In order to nd goodfparameters, we employed astochastic search of the parameter space when run-ning BPP against the rule-based opponent. Since thespace being searched is 12 dimensional (three typesof curves, four each for the rounds of play) and thescore function is highly noisy (wins/losses in actualpoker rules play), it is not clear that the search for optimal-ity was successful. Nevertheless, the curves producedby our stochastic search appear to provide a reason-able answer to such questions as how much greaterthe probability of winning must be over the thresholdfor active bets and raises to be rewarded. Their usealso provides good camouage for playing behaviourby their introduction of random play.One apparent anomaly is that the point at which theprobability of folding equals the probability of callingshould occur when the probability of winning is equalto(i.e., at 0 on the horizontal axis of Figure 2).We believe the explanation is that our estimate of thepot odds (being dependent upon an estimate of theexpected cost to a showdown) is inexact. If so, thenwhen we optimize the playing curves, the optimizationprocess will compensate for the estimation error bydisplacing the playing curves. Since the calling curveis displaced to the left, this suggests that is beingoverestimated.4.2 BLUFFINGBlung is the intentional misrepresentation of thestrength of one’s hand. You may over-represent thestrength of your hand (what is commonly thought ofas blung), in order to chase opponents with strongerhands out of the round. You may equally well under-represent the strength of your hand (\sandbagging"),in order to retain players with weaker hands and re-lieve them of spare cash. These are tactical purposesbehind almost all (human) instances of blung.On the other hand, there is an important strategicpurpose to blung, as von Neumann and Morgenstern(1953) pointed out, namely \to create uncertainty in[the] opponent’s mind" (pp. 188-9). In BPP this pur-pose is already partially fullled by the randomiza-tion introduced with the betting curves. However,that randomization occurs primarily at the marginsof decision making, when one is maximally uncertainwhether, say, calling or raising is optimal over the longrun of similar situations. Blung is not restricted to--------------------------------------------------------------------------------Page 6 situations where the optimal normal action is uncer-tain; the need is to disguise from the opponent whatthe situation is, whether or not the optimal responseis known to the player. Hence, blung is desirable forBPP as an action in addition to the use of randomizingplaying curves. Since BPP’s randomized play alreadyresults in some apparent blung, the probability withwhich BPP ought to blu outright should be some-what lower than otherwise. BPP currently blus (byover-representation) in the last round of betting witha low probability (5%).5 EXPERIMENTATION5.1 OPPONENTSA Simple Probabilistic OpponentThe probabilistic player, as mentioned inx2.2, es-timates its winning probability for its current handby taking a large sample of possible continuations ofits own hand and its opponent’s hand. Since ourexperimental intention was to compare the eective-ness of using this combinatorial probability versus theBayesian net probability that incorporates the oppo-nent’s behaviour, once the combinatorial player com-puted its probability we used the same algorithm tocomplete its play as does BPP i.e., the probabilis-tic opponent used the pot odds in the same way asBPP to determine its betting behaviour.A Rule-Based OpponentThe rule-based system which we used as another op-ponent for BPP is described in Figure 4. These rulesincorporate plausible maxims for play, for example,that you should generally fold your hand if it is al-ready beaten by what’s showing of your opponent’shand (i.e., its upcards).Human OpponentsPeople who had experience playing poker rules were invitedto try themselves against BPP.5.2 RESULTSThe cumulative performance of BPP against the threedierent varieties of opponent we have tested againstis shown in Figure 3. BPP is clearly outperforming thetwo automated opponents (\prob" and \rules"), withthe discrepancy in their results suggesting that therule-based system is superior overall to the probabilis-tic player (although we have not yet run them againsteach other to verify that). The \humans" recorded inFigure 3 shows the combined record of various peopleIf BPP-up>OPP-upIf OPP>BPP-upIf OPP-hand-type>BPP-up-hand-typeThenbet/raise(90%),call/pass(10%)Elsebet/raise(80%),call/pass(20%)ElsefBPP-up>OPPgfold/pass(85%),call/pass(15%)ElsefOPP-upBPP-upgIf BPP is bettingThen If OPP-hand-type>BPP-up-hand-typeThenraise(85%),call(15%)Elsecall(85%),fold(15%)Elsebet.Figure 4: Rule-based opponent. OPP-up is the rule-based system’s hand showing on the table (likewiseBPP-up); OPP is the opponent’s (full) hand.who took up an invitation to play BPP via telnet.3The evident variation in the human record is likelydue to their dierent playing abilities. Given moreplay against the dierent individuals we would expectconsistent trends to emerge. The \experienced" playeris someone who has frequently and successfully playedamateur poker rules; this player ended up with a net gain(loss to BPP) of only 63 betting units after about 450games.Signicance ResultsIn order to conrm our impressions of relative per-formance from Figure 3 we conducted two-tailed sig-nicance tests of the null hypothesis that BPP’s trueexpected winnings are zero against each opponent.BPP’s performance was signicantly dierent fromzero against both the probabilistic opponent (t=15:8;p0:01) and the rule-based opponent (t=7:84;p0:01). Its performance against both sets ofhumans was not signicantly dierent from zero.LearningDuring these tests the conditional probability matricesMAjCwere learned individually per opponent, start-ing from a default assumption that aggressive play(betting, raising) was as likely as conservative play(passing, calling). The results of Figure 3 do notappear to show any large learning eect: other thanthe human performances, which do not reect a sin-gle level of play, the slopes of BPP’s cumulative win-ning record do not appear to change substantially afterthe rst 200 games. However, since each showdowncontributed equally to the updates of the matrices,3The automated opponents were run considerablylonger than shown in Figure 3, but without any interest-ingly dierent results.--------------------------------------------------------------------------------Page 7 -2000-100001000200030004000500060007000050100150200250300350400450500BPP WinningsGames Played"prob""rules""experienced""humans"Figure 3: Bayesian poker rules Program’s cumulative performancethe most learning should occur in the early stages ofplay with an opponent. In order to check whetherlearning was occurring, we performed a dierence ofmeans signicance test for each opponent comparingearly performance (the rst 200 games) with late per-formance (the last 200 games). BPP’s performanceagainst the probabilistic opponent was signicantlydierent (t= 3:25;p0:01), but showed no signi-cant improvement against any of the other players.6 FUTURE WORK6.1 IMPROVEMENTSDuring the work on this project we have noted a va-riety of methods of improving the Bayesian networkand/or its use in poker rules. We list some of the morepromising ideas here.Rene action nodes.Currently BPP merges theactionscallandpass, and againbetandraise. Thisis possible because the paired playing situations aremutually exclusive. However, it is unlikely that giventhe same winning probability and pot odds each dualis as good a choice as the other. Therefore, they shouldbe separated and given independent playing curves.Further renement of hand types.It’s clear thatthe hand types need further renement to reach any-thing like expert play. It is not clear how far to go.Improve network structure.A link should beadded fromBPP FinaltoOPP Final(or vice versa).This will allow knowledge of the cards of one hand(observed or inferred) to be employed in determiningthe unknown cards of the other. The program shouldalso take advantage of the dierence between BPP’supcards and its full hand. This could involve adding anode for BPP parallel toOPP Upcards. The point isthat when one’s strong cards are showing on the table,there is no reason to bet coyly; on the contrary, it is ad-vantageous to make opponents pay for the opportunityof seeing any future cards by betting aggressively. Onthe other hand, when one’s strongest card is hidden,aggressive betting can drive opponents out of the gameprematurely. However, it’s not clear how to developthe Bayesian network to allow for this. A simpler andmore direct approach would be to divide the playingcurves, which govern aggressive vs. conservative bet-ting behaviour, so that one set applies when the handtype is already xed by one’s upcards (i.e., the strongcards are showing) and the other when the hand typeis hidden. By optimizing these separately, the optimalbehaviour described above should be discovered.Add blung to the opponent model.Just as forBPP, the conservativeness or aggressiveness of an op-ponent’s play, which is learned and captured by recal-ibrating the matrices relatingOPP CurrentandOPPAction, does not fully describe the blung behaviourof the opponent. A plausible extension would be toadd an opponent blung node which is a parent ofOPP Actionand a child ofOPP CurrentandBPPCurrent(since the latter gives rise to BPP’s upcardsand behaviour, even though they are not explicitly rep-resented).Improved Learning of Opponent Model.Wedid not get much of a learning eect. We believethis is largely due to weaknesses in the representa-tional power of the opponent model, limiting the con-sequences of learning. By rening the action nodes andadding modeling of blung, we would expect learn---------------------------------------------------------------------------------Page 8 ing applied to the conditional probability matrices re-lating the nodes of the opponent model to be moreeective. Another structural change important forimproved learning and play would be to makeOPPActiona child node of a newBPP Upcardsnode, sothat what the opponent observes of BPP’s hand wouldjointly condition his or her behaviour.6.2 MORE CHALLENGING poker rulesIn the future we would like to make the poker rules-playingenvironment more challenging, in particular introduc-ing multi-opponent games and allowing table stakesgames. In multiple opponent games it will be more im-portant to incorporate the interrelations between whatis known of dierent player’s hands and the node rep-resenting their nal hands. In table stakes any playermay bet or raise as much money as is jointly availableat the time to that player and any remaining oppo-nent. This makes the precise computation of winningprobabilities rather more critical. Especially, it will benecessary to have more rened hand matrices, sinceuncertainty between a pair of threes and a pair of fourscan suddenly become fatal. Thus, table stakes poker rulesprovides a much more severe test environment thanxed-size betting.6.3 A DYNAMIC BAYESIAN NETWORKIn addition to the improvements described inx6.1, weanticipate using a dynamic Bayesian network (DBN)to model more eectively the interrelation betweenrounds of play. Currently, we use a succession of fourdistinct Bayesian networks, one per round. In a DBNmodel for poker rules, each round would correspond to asingle time which would contain the nodesBPP Cur-rent,OPP Current,OPPUpcardsandOPP Action.The probability of winning would then depend on thecurrent hand types for the nal time slice (which cor-respond to the nal hand types in the current BN).7 CONCLUSIONpoker rules is the quintessential game combining physicalprobabilities (the randomness introduced by shuing)with epistemic probabilities (the unknown values ofhidden cards) with the uncertainties of assessing theopponent’s psychology (propensity to blu, strategicintentions). It appears to be an ideal domain for in-vestigating the application of Bayesian networks. Thegame is too complex to model precisely with Bayesiannetworks, at least with the technology available tous; however, we have developed a simple and prac-tical Bayesian network and have demonstrated its ef-fectiveness against two reasonable computational al-ternatives as well as against non-expert amateur play.We expect to be able to improve the standard of playof the Bayesian player substantially towards the levelachieved by human experts using the techniques out-lined above.InvitationAnyone wishing to test our poker rules program may telnettoindy13.cs.monash.edu.auand login as \poker rules"with the password \maverick".AcknowledgementsWe acknowledge the assistance of Jon Oliver, TamLien, Aidan Doyle, Jamie Scuglia and Scott Thomp-son.ReferencesBillings, D., Papp, D., Schaeer, J. and Szafron, D.(1998). Opponent modeling in poker rules. InProc15th National Conf on AI (AAAI-98), 493-499.Findler, N. (1977). Studies in machine cognition us-ing the game of poker rules.CACM, 20, 230-245.Jitnah, N. (1993).An expert system that usesBayesian reasoning to play poker rules. Honours The-sis, Department of Computer Science, MonashUniversity.Koller, D. and Pfeer, A. (1997). Representationsand solutions for game-theoretic problems.Arti-cial Intelligence, 94, 167-215.Pearl, J. (1988).Probabilistic reasoning in intelligentsystems. Morgan Kaufmann.Ramsey, F.P. (1931).Foundations of mathematicsand other logical essays, ed. by R.B. Braithwaite.New York: Humanities Press.von Neumann, J. and Morgenstern, O. (1953).The-ory of games and economic behavior. Princeton.Zadeh, N. (1974).Winning poker rules systems. MelvinPowers Wilshire Book Company.

poker rules

2005-04-13T10:42:00.000-07:00

google poker rules rules of poker rules for poker poker game rules rules poker strip poker rules official poker rules rules to poker hold em poker rules poker games rules hoyle poker rules stud poker rules pai gow poker rules texas hold em poker rules the rules of poker draw poker rules poker tournament rules poker and rules omaha poker rules three card poker rules video poker rules poker rules texas poker hand rules poker games and rules basic poker rules official rules of poker rules for strip poker 3 card poker rules poker rules hands rules for playing poker poker betting rules poker hands rules texas holdem poker rules poker card game rules rules of strip poker poker rules texas hold poker run rules rules strip poker casino poker rules poker card rules poker rules games poker rules straight texas poker rules caribbean poker rules vegas poker rules poker rules and games 5 card poker rules poker rules texas hold em poker official rules rules for poker games poker rules flush poker rules hoyle 5 card draw poker rules poker dice rules chinese poker rules liars poker rules carribean stud poker rules poker rules strategy caribbean stud poker rules liar's poker rules poker rules full house hoyles poker rules offical poker rules rules of poker games poker house rules carribean poker rules rules on poker rules for texas hold em poker poker texas hold em rules basic rules of poker poker rules and regulations card game rules poker poker playing rules hoyle rules of poker las vegas poker rules standard poker rules poker rules cards poker rules omaha five card draw poker rules high low poker rules texas hold poker rules guts poker rules hoyle's poker rules poker variations rules rules of draw poker rules of playing poker poker rules and hands 7 card stud poker rules card games poker rules poker rules variations official rules poker poker rules texas holdem baseball poker rules five card poker rules hoyles rules of poker let it ride poker rules poker rules 5 card draw simple poker rules world series poker rules 5 card stud poker rules poker rules baseball world poker tour rules hoyle's rules of poker
winning poker hands how to play poker card rules poker strategies poker hand poker hands hold em rules poker strategy poker odds texas holdem poker tips poker games poker craps poker rule poker rulers hoyle holdem wsex texas hold em rounders acey ducey hoyle's regole hold em pai gow holdem rules good gambling guide spelregels pokert caribbean stud rec gambling pokere jennifer harman video poker 7 card stud seven card stud poker face sozobon dealer's choice texas hold cardplayer variants pain's twoplustwo let it ride varkonyi double up phil hellmuth reel deal jacks or better partypoker planetpoker doyle brunson rebuy blackjack guts wsop johnny chan wizard of odds mike caro freeroll pick em oker dead mans hand binions draw phil helmuth card tricks red dog bankroll playpoker amarillo slim sklansky stu ungar ultimatebet pocker lowball pokerspot pokerhand cardrooms two plus two rules acey deucey backgammon multistrike double down gambling three card poker onlinepoker ipoker duces wild how to play ultimate bet jill a davis conjelco for fun fekali poki worldplay pokerparty liars poker gocee

poker rules

2005-04-12T17:23:00.000-07:00

poker rules