Poker Mathematics

The very end objective of poker – that of wining the Pot , links Poker to mathematical probability and permutation combination rules. Betting and raising by players depend on their perception of the probability that his / her hand has a stronger ranking than that of the other players in the game as well as the various combinations possible with open cards on the table. The deck of 52 cards used in poker helps in restricting the number of permutation and combinations.

The poker variant being played also has a strong correlation with the mathematics of the game. For example in Texas Hold’em after the flop an individual player has 2 hole cards open along with the 3 community cards open on the desk .This means 5/7 or ~72% of the hand is defined in the first round itself .While in Omaha post the flop 7/9 or 78% of the players hand is defined .

But does this mean that every Poker player needs to be a mathematical nerd. I sincerely don’t think so. A bit of luck and common sense may well suffice.

Limit, No-Limit and Pot-Limit Holdem

Most online casinos offer holdem in at least two versions: limit and no limit. In limit, the exact size of every bet or raise you make is determined in advance. In the later betting rounds, it’s always twice as much as it is on the early betting rounds. In no-limit, you can bet in an almost unlimited range, starting with a minimum bet that’s equal to the size of the big blind, which is a required bet that the player two seats to the left of the dealer position makes, to as many poker chips as you have on the table.

Another method of betting is called pot limit. This is kind of an intermediate battleground bridging limit and no limit games. In pot-limit games, you can’t always bet all the chips you have in front of you; you’re limited by the size of the pot. But the pot can grow quickly as bets, raises, and calls occur, and huge money can change hands on a single showdown.

The maximum number of opponents who sit in a holdem game is usually limited to ten, but more commonly only nine chairs are put at a poker table.

Limit Holdem Rules and Procedures

Limit Holdem is one of the most popular variants of the Texas Holdem family of poker games, and its tournaments continue to draw huge fields and talented players each year wherever they are contested across the World.

1. The first two players to the left of the dealer button---which marks the position of where an actual player-dealer world be if participants took turns dealing---are required to post the blinds. A blind bet is a wager a player is required to put in the pot before receiving any cards. In our example game, the player immediately to the left of the dealer puts in a blind bet of $2 and the player two seats to the left of the dealer puts in $4. In online sites, this is all handled automatically by the software. So, in this game, there is $6 in the pot that players than can compete for even before any cards are dealt.

2. The computer shuffles and distributes one card at a time face down to each player, beginning to the left of the button, and continuing clockwise until each participant has two cards. These two cards are the only ones each player will receive during a hand of holdem.

3. The action begins with the player to the left of the big blind. Each player, acting clockwise in turn, must call the previous bet, raise it $4, or throw the hand away.

4. All bets are added to the pot, along with the original blinds, in the center of the table.

5. If you bet or raise and all your opponents fold, you win what’s in the pot, and there is no subsequent dealing or betting on this hand.

6. If there are callers and no raise, the big blind has the option to raise, even though he has only been called. This is called a live blind.

7. If two or more players remain after the first round of betting, the deal continues. Three face-up cards will be dealt all at once in the center of the table. This is called the flop.

8. Players coordinate the two secret cards held in their hand with the three cards face up on the board to form their five-card poker hand. There is a second round of betting, beginning to the left of the dealer. All bets remain at the pre-established $4 limits.

9. If two or more players remain after the second round of betting the deal continues. The dealer turns over a fourth communal board card in the center of the table. This is called the turn card.

10. There is a third round of betting, beginning with the first active player to the left of the dealer. All bets now double to $8.

11. If two or more players remain after the third round of betting, the deal continues. The dealer delivers a fifth and final communal board card in the center of the table. It’s called the river card.

12. There is a fourth and final round of betting, beginning to the left of the dealer. All bets remain at $8.

13. If two or more players remain after the final betting round, there is a showdown to determine the winner. The computer turns the winning two cards face up on the table. The best hand is determined by incorporating those two cards and any of the five communal board cards to form the best traditional five-card poker hand. The player having that best hand wins all the money in the pot.

14. The dealer button moves clockwise, one spot to the left, the blind bets are placed for the next hand, and the process is repeated.

What is Important in Poker

Poker is played for money. Money is how we keep score. But correct play is not judged by who wins the most money. Correct play is a matter of positive expectation on our actions -- and our actions include many more things than merely betting. I don't like to think in terms of "the best players" because that is basically meaningless. The best players though are the ones who play correctly. The best players are the ones who consistently get the best of it the best.

A player who could be or even should be a great winning player is not a great player if he makes losing choices. Circumstances dictate a player's ability. If the best Hold’em player in the world were to walk into a cardroom every day and only play stud, that person could be a poor, losing player, even though he could be more successful than anyone else if he made other choices.

Skill is not some mysterious ability that doesn't ever exist in actual reality. Skill is only skill when it is applied. Some folks who can be great players in some situations are complete fish in others. Some of the most talented poker players are dead busted because they in fact often play poker terribly.