Number Of Poker Hands

For those unfamiliar with poker rules and the game of Poker, along with others who might want a refresher, this is the most basic of basic poker. The various games are based on this.

1. List Of Best Poker Hands
2. Poker Hands Chart

• The number of different 5 -card poker hands is. 52 C 5 = 2,598,960. A wonderful exercise involves having students verify probabilities that appear in books relating to gambling. For instance, in Probabilities in Everyday Life, by John D. McGervey, one finds many interesting tables containing probabilities for poker and other games of chance.
• The strongest starting hand in poker, pocket aces are a strong pre-flop favorite over any other two cards and a 4:1 favorite over almost any hand. You will be dealt 'pocket rockets', as they are.

Poker hand rankings is the first thing you need to learn when starting with poker, and this page will teach you everything you need to know. We will cover poker hands list in order, best poker hands in Texas Holdem and detailed examples of how to analyze your hands when playing. Standard Poker Hand Ranking. There are 52 cards in the pack, and the ranking of the individual cards, from high to low, is ace, king, queen, jack, 10, 9, 8, 7, 6, 5. How many full house poker hands are there? There are a total of 3,744 poker hands that can result in a full house. This can be calculated by multiplying the total number of card choices: Total No. Of Card Choices = 13 (choices for 3 same cards) x 12 (choices for 2 cards that are the same = 156. By the total number of suit choices.

Poker is a game of five card hands dealt from a 52 card deck of standard playing cards. All poker hands consist of exactly five cards. Most games, like seven card stud for example, give the players more than five cards to select from, but the final winning result goes to the one with the best five card poker hand. In the popular stud poker games, the players are all dealt one card at a time or in small groups and they bet money each time they get more cards. They bet that they will end up with the best hand. The players that don't want to bet on their hands any longer can 'fold' their hands, get out of the contest and forfeit all the bets they have made to that point. At the end, the player with the best poker hand wins all the bets. In draw poker the players bet, then replace the cards they don't like with new ones from the dealer and then bet again.

The best hand is determined by the Poker Hand Ranking chart below.

Mobile Users - I've created a special chart in universal .pdf format for easy viewing on narrow screens. The original large chart is also available for downloading, viewing or printing.

Mobile - hand-rankings-mobile.pdf
Tablet / Desktop - hand-rankings.pdf

Rules for the More Popular Poker Games

Basic Poker Resources

• Poker Terms - Before sitting down at a poker table, new players should check out my glossary and get familiar with some of the poker lingo.

Can you name thesePoker Legends?

In 1978, Doyle Brunson, two time winner of the 'World Championship of Poker' at Binions Horseshoe in Las Vegas, published probably the best ever written book on casino level poker games. This 600 page, 3 lb. volume is more like an encyclopedia reference than a typical poker book. The work is packed with sound professional advice with volumes of stats for advanced players and was strangely named 'How I Made Over $1,000,000 Playing Poker'. In reprint, it is now named 'Super System'.

List Of Best Poker Hands

For this classic, Brunson enlisted the services of some of the best professional poker players in the world, all champions in their own right, to collaborate the authoring of the game sections of their particular specialties. The cartoon of this world class poker game is shown on the books inside front cover. Here are the players and their game contributions.

1. DOYLE BRUNSON - No Limit Hold'em 2. MIKE CARO - Draw Poker 3. JOEY HAWTHORN - Five and Seven Card Lowball 4. DAVID SKLANSKY - Seven Card Stud, High-Low Split 5. CHIP REESE - Seven Card Stud 6. BOBBY BALDWIN - Limit Hold'em

Brian Alspach

13 January 2000

Poker Hands Chart

Abstract:

The types of 3-card poker hands are

• straight flush
• 3-of-a-kind
• straight
• flush
• a pair
• high card

The total number of 3-card poker hands is .

A straight flush is completely determined once the smallest card in thestraight flush is known. There are 48 cards eligible to be the smallestcard in a straight flush. Hence, there are 48 straight flushes.

In forming a 3-of-a-kind hand, there are 13 choices for the rank and4 choices for the 3 cards of the given rank. This implies there are3-of-a-kind hands.

The ranks of the cards in a straight have the form x,x+1,x+2, wherex can be any of 12 ranks. There are then 4 choices for each card ofthe given ranks. This yields total choices. However,this count includes the straight flushes. Removing the 48 straightflushes leaves us with 720 straights.

To count the number of flushes, we obtain choicesfor 3 cards in the same suit. Of these, 12 are straight flushes whoseremoval leaves 274 flushes of a given suit. Multiplying by 4 produces1,096 flushes.

Now we count the number of hands with a pair. There are 13 choices forthe rank of the pair, and pairs of the chosen rank.The non-pair card can be any of the remaining 48. Thus, thereare 3-card hands with a single pair.

We could determine the number of high card hands by removing the handswhich have already been counted in one of the previous categories.Instead, let us count them independently and see if the numbers sumto 22,100 which will serve as a check on our arithmetic.

A high card hand has 3 distinct ranks, but does not allow ranks of theform x,x+1,x+2 as that would constitute a straight. Thus, there arepossible sets of ranks from which we remove the12 sets of the form .This leaves 274 sets of ranks.For a given set of ranks, there are 4 choices for each cardexcept we cannot choose all in the same suit. Hence, there are274(4³-4) = 16,440 high card hands.

If we sum the preceding numbers, we obtain 22,100 and we can be confidentthe numbers are correct.

Here is a table summarizing the number of 3-card poker hands. Theprobability is the probability of having the hand dealt to you whendealt 3 cards.