When the query is complete, it will display the number of hands in the Data Output tab in the Output pane. Note: To see hands grouped by specific poker sites, run this query in the text box: SELECT pokersites.sitename,count(.) FROM pokerhands LEFT JOIN pokersites ON pokerhands.siteid = pokersites.siteid GROUP BY pokersites.sitename.
Sanderson M. Smith
- There are 1,326 possible combinations of cards from a standard deck but there are only 169 non-equivalent starting hands in poker. This number is made up of 13 pocket pairs, 78 suited hands and 78.
- There are two ways to derive the number of high-card hands. One is by realizing that the set of high-card hands is the complement to the set of all other hands. That means the number of high card hands is 2598960 – 40 – 624 – 3744 – 5108 – 10200 – 54912 – 123552 – 1098240 = 1,302,540.
Home About Sanderson Smith Writings and Reflections Algebra 2 AP Statistics Statistics/Finance Forum
In many forms of poker, one is dealt 5 cards from astandard deck of 52 cards. The number of different 5 -card pokerhands is
A wonderful exercise involves having students verify probabilitiesthat appear in books relating to gambling. For instance, inProbabilities in Everyday Life, by John D. McGervey, one findsmany interesting tables containing probabilities for poker and othergames of chance.
This article and the tables below assume the reader is familiarwith the names for various poker hands. In the NUMBER OF WAYS columnof TABLE 2 are the numbers as they appear on page 132 in McGervey'sbook. I have done computations to verify McGervey's figures. Thiscould be an excellent exercise for students who are studyingprobability.
There are 13 denominations (A,K,Q,J,10,9,8,7,6,5,4,3,2) in thedeck. One can think of J as 11, Q as 12, and K as 13. Since an acecan be 'high' or 'low', it can be thought of as 14 or 1. With this inmind, there are 10 five-card sequences of consecutive dominations.These are displayed in TABLE 1.
TABLE 1The following table displays computations to verify McGervey'snumbers. There are, of course , many other possible poker handcombinations. Those in the table are specifically listed inMcGervey's book. The computations I have indicated in the table doyield values that are in agreement with those that appear in thebook.
N = NUMBER OF WAYS listed by McGervey | |||
Straight flush | There are four suits (spades, hearts, diamond, clubs). Using TABLE 1,4(10) = 40. | ||
Four of a kind | (13C1)(48C1) = 624. Choose 1 of 13 denominations to get four cards and combine with 1 card from the remaining 48. | ||
Full house | (13C1)(4C3)(12C1)(4C2) = 3,744. Choose 1 denominaiton, pick 3 of 4 from it, choose a second denomination, pick 2 of 4 from it. | ||
Flush | (4C1)(13C5) = 5,148. Choose 1 suit, then choose 5 of the 13 cards in the suit. This figure includes all flushes. McGervey's figure does not include straight flushes (listed above). Note that 5,148 - 40 = 5,108. | ||
Straight | (4C1)5(10) = 45(10) = 10,240 Using TABLE 1, there are 10 possible sequences. Each denomination card can be 1 of 4 in the denomination. This figure includes all straights. McGervey's figure does not include straight flushes (listed above). Note that 10,240 - 40 = 10,200. | ||
Three of a kind | (13C1)(4C3)(48C2) = 58,656. Choose 1 of 13 denominations, pick 3 of the four cards from it, then combine with 2 of the remaining 48 cards. This figure includes all full houses. McGervey's figure does not include full houses (listed above). Note that 54,912 - 3,744 = 54,912. | ||
Exactly one pair, with the pair being aces. | (4C2)(48C1)(44C1)(40C1)/3! = 84,480. Choose 2 of the four aces, pick 1 card from remaining 48 (and remove from consider other cards in that denomination), choose 1 card from remaining 44 (and remove other cards from that denomination), then chose 1 card from the remaining 40. The division by 3! = 6 is necessary to remove duplication in the choice of the last 3 cards. For instance, the process would allow for KQJ, but also KJQ, QKJ, QJK, JQK, and JKQ. These are the same sets of three cards, just chosen in a different order. | ||
Two pairs, with the pairs being 3's and 2's. | McGervey's figure excludes a full house with 3's and 2's. (4C2)(4C1)(44C1) = 1,584. Choose 2 of the 4 threes, 2 of the 4 twos, and one card from the 44 cards that are not 2's or 3's. |
'I must complain the cards are ill shuffled 'til Ihave a good hand.'
-Swift, Thoughts on Various Subjects
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Copyright © 2003-2009 Sanderson Smith
Knowing your hands per hour is important for planning your sessions and figuring out your hourly rate. I dove into the statistics and did a bit of research and this is what I found out.
How many hands per hour in poker? Online you will play around 75 hands per hour on a 6-max table and about 62 hands per hour on a 9-max table. In online fast fold games like Zoom, Zone, or Snap you will play 200 to 250 hands per table hour. Live poker players will typically average 25 hands per hour.
Of course, these numbers can vary based on where you are playing. Let’s take a look at the factors that can effect your hands per hour experience.
There Are Fewer Hands per Hour in Soft Games
As the VPIP goes up the hands per hour tends to go down. For comparison sake, let’s take a look at Bovada/Ignition versus the Winning Poker Network (WPN). I have played hundreds of thousands of
For 6-max games on Bovada and
Why the discrepancy
It’s because the VPIP is quite a bit higher on Bovada and Ignition. I mean it makes sense. If more people are limping and seeing flops then, of course, the games will play slower. I am not
What Are Your Exact Hands per Hour on Each Site?
Hold’em Manager has a handy multi-table report that shows exactly how many hands per hour are played based on how many tables are played at once. Here are my numbers:
6-Max
| Poker Network | 6-Max Hands per Hour |
| Ignition/Bovada | 68.47 |
| Winning Poker Network | 76.53 |
9-Max
Total Number Of Poker Hands Online
| Poker Network | 9-Max Hands per Hour |
| Ignition/Bovada | 55.36 |
| Winning Poker Network | 61.89 |
Surprisingly, the more tables I played the higher my hands per hour is. I guess this makes perfect sense since game selection pretty much goes out the window when you are mass multi-tabling.
Hands per Hour Dealt Is Different Than Hands per Hour Played
If you look around the web you will see much higher numbers than I am writing about here. That’s because they are talking about hands per hour when you are actually dealt into the hand.
Raw hands per hour when actually being dealt in is like 90 per hour for 6-max and 75 per hour for 9-max. However, unless you are staying on the same table and playing for hours, lower numbers are more realistic.
What they fail to take into account that some of the time that you are sitting at a table you are not being
What About Hands Per Hour in Live Games?
Live dealt in numbers tend to be much closer to reality since there is no multi-tabling and a player will typically stay at the same table for hours. Even so, the number of hands played per hour is still much lower than online.
Hands per hour in live games can range anywhere from 20 to 30. Besides almost exclusively being 9 or 10 handed, it takes time for the dealer to shuffle and deal. That leaves little time to actually playing poker. I have a ton of respect for the patience and mental toughness of live grinders.
Aggressive Table Selection Affects Hands per Hour
The longer you stay on a table the more hands per hour you are dealt. This is because you have to pull up a new table, sit down, and then wait for the big blinds. This takes time. Therefore, switching games often
Now I am not saying you should stop game selecting. In today’s tough poker environment, robust table selection is how money is made. One way to remedy this issue and still maintain your desired number of hands per hour is to just add one more table. If you normally two
Find The Total Number Of Possible 5 Card Poker Hands
Mass Multi-Tablers Slow down the Games
I have noticed a direct correlation between the maximum number of tables allowed on a site to how many hands per hour is played. This is due to mass multi-tablers, who tend to time bank often and hold up the games.
For example, Bovada and Ignition also only allow 4 cash game tables to be played at once. WPN still allows people to play 24 tables at the same time. Get two or three guys playing 24 tables on one table and it becomes time bank city. Watch your hourly rate shrink due to atrophied hands per hour.
Why Does Full Ring Play Slower Than 6-Max?
What If I Mix in Full Ring Games and Want to Have the Same Hands per Hour?
If you want to play the same amount of hands per hour at 9-max that you do at 6-max you will simply just need to add more tables.
Let’s say you currently play 8 tables of 6-max and average 600 hands per hour. Since the average hands per hour at 9-max is 62, you simply divide 62 into 600 and that gives you your optimal number of full ring tables.
In this case, it is 9.68, or 10 tables.
- 600/62= 9.68
Fast-Fold (Zoom/Zone) Poker Hands Per Hour
In the last few years, the popularity of fast-fold poker has increased substantially due to the increase in hands per hour attainable. No longer do you have to sit back and watch a hand play out after you have folded. With the click of a
What this means is that a player can use less real estate on his or her desktop and just focus on one or two tables at the time, while still achieving a substantial number of hands per hour.
Drawbacks of Fast-Fold Poker
Total Number Of Poker Hands Game
Fast-fold poker is not for the feint of heart. In fact, it takes a completely different strategy than you would play on a regular table. Maximizing hands per hour can actually be a big factor in determining how to play.
Personally, I dislike fast-fold poker not because of the strategic differences or the speed of play. Rather, I believe that the game is not really poker at all.
Observing opponents and then adjusting your strategy based on what they do is at the heart of poker. Fast-fold poker takes this away since every hand will find you in a different mix of opponents. So much for using gameflow considerations to your advantage.
Final Thoughts
If you are reading this article so that you can start mass multi-tabling because you think it will increase your hourly rate substantially, I have to warn you. As hands per hour increases, ability to focus on what is going on and game select correctly
So unless you are at least a 6bb/100 winner playing one or two tables, I would not even consider trying to maximize your hands per hour yet. Your growth as a poker player is much more important than trying to increase your hourly rate.
However, once you are ready you now know how many hands per hour you can expect to play at the tables. I hope this information allows you to figure out your optimal number of tables to play to achieve your hourly rate goals. My optimal number of tables is about 6, what’s yours?
Related Questions
How do I calculate hourly rate in poker?
What is a good poker hourly rate? What can be considered a good hourly rate in poker will vary from player to player based on their goals. It will also depend on the stake being played. It is much better to focus on win-rate instead of hourly rate. A good online win-rate will range from 2-4 big blinds per 100 hands for multi-tablers and from 4 big blinds to 10 big blinds per 100 hands for single tablers. However, due to the extreme softness of some live games, live players will often enjoy a win-rate much higher.
How many hands per hour in tournament poker? Hands per hour in tournaments will be higher than cash games since there is no table selection involved. Online you can expect to play 90 hands per hour for 6-max and 75 hands per hour for 9-max. As the blinds increase, hands also tend to play faster since the game evolves into push-fold. Live tournament players play around 30 hands per hour.