What is variance

The first thing the Variance Calculator does, is to run 20 samples over the amount of hands, winrate and standard deviation specified. It’ll also calculate the expected winnings over the amount of hands. This number will appear as a rather boring straight and black line in the graph.

The Players Guide To Video Poker Information
Home
Why Play Video Poker?
The Basics
History of the Game
Game Terminology
Hand Rankings
Hand Odds
Game Variance
Common Myths
Playing Guide
How To Play
Machine Selection
Required Bankroll
Do's and Don'ts
Strategy Guide
Single Vs Multi Hand
Progressive Games
Comp & VIP Points
Game Variations
Jacks or Better
Deuces Wild
Double Bonus
Double Double Bonus
Joker Poker
Deuces and Joker
More Variations
Playing Online
Online Gambling
Games by Payout
Software Types
Free Video Poker
More Information
Recommended Sites
What is variance? While we could go into the mathematical details we will explain variance on video poker machines using real world examples. Variance is one of the characteristics that makes a big difference in the short term results between one game and another. Lets compare two popular machines.
Below you have the pay tables for both full pay Jacks or Better (9/6) and a popular variety of Double Double Bonus (40/10/6). We picked these games for the example as both have a total return in the 99% range and compared side by side make a good example of variance in the real world.
Full Pay Jacks or Better (9/6)
Dbl Dbl Bonus (40/10/6)
Hand PayoutReturn % Hand PayoutReturn %
Royal Flush40001.98%Royal Flush40001.95%
Straight Flush2500.55%Straight Flush 2000.44%
Four of a Kind 1255.91%Four Aces +2-4 20002.46%
Full House 4510.36%Four Aces 8002.78%
Flush 306.61%Four 2-4 + A-4 8002.29%
Straight204.49%Four 2 - 4 4003.08%
Three of a Kind 1522.33%Four 5 - K 2508.16%
Two Pair 1025.86%Full House 5010.86%
Jacks or Better 521.46%Flush306.77%
Straight205.11%
Three of a Kind 1522.59%
Two Pair 512.31%
Jacks or Better 521.16%
Total Return99.5439%Total Return 99.9577%
Variance19.51468Variance41.96707

Variance Explained

You will notice at the bottom of each pay table we have listed the variance. The first machine shows 19.51468 and the second is over double at 41.96707. The biggest difference when you compare the pays are the four of a kind wins. On the Jacks or Better machine they make up 5.91% of the total return while on the Double Double Bonus machine they make up 18.77% of the total return.
You will also notice that on the Double Double Bonus machine the pay for two pair makes up 12.31% of the total while on the Jacks or Better the same pay contributes 25.86% to the overall percentage. It is these changes in the way that pays contribute to the overall pay outs that alter the variance.
Let's say you play 1,000 hands on both of the machines above and do not hit a royal flush or any four of a kinds. At the end of the thousand hands it is more likely that you will still have a good amount of credits left if you were playing the Jacks or Better machine compared to the Double Double Bonus. This is because one of the more common hands, the two pairs pay is a win on Jacks or Better while it is simply your bet back on the second game.
Comparing the two games you will find that the first game will offer a longer run of smaller pays that keep you going while the second machine will be much harder on your bankroll if you do not hit any of the four of a kind ands. This difference is what variance is all about.
The question then comes to mind - Which machine should I play? In the example above the Double Double Bonus would be a better bet over the long term simply because it has a higher overall pay back. But in the short term you have to ask yourself, do you want regular small wins that keep you playing or do you want to have fewer small wins but the chance at the occasional big hit. This is a personal choice so there is no right or wrong answer - it is totally up to you.

Popular Games Compared

Below is a table showing the variance for several popular video poker machine types. This further illustrates the points made above. Note that the higher the number the higher the variance.
GameVarianceGameVariance
Pick'em Poker 15.0055 All American 26.7998
Jacks or Better 19.5146Double Bonus 28.2555
Bonus Poker 20.9040Double Double Bonus 41.9849
Aces & Eights 21.7259 Deuces & Joker 45.5885
Deuces Wild 25.8346Loose Deuces 70.3054
Navigation : Home > Video Poker Variance

Variance-free ride in that graph, congratz man. I seriously can't understand how some people can play mtts exclusively. I mean, you can make the final table of a huge field mtt and still feel like shit after busting on like 4th place or something, even if you just won a lot of money. In poker, variance is the measure of uncertainty. A play that has high variance has a great deal of uncertainty. A play that has a relatively certain outcome has a low variance. The act of folding has a variance of zero. Variance and mathematical probability in poker go hand in hand because as we all know, poker hands will win a percentage of the time and the other percentage of the time it loses. You'll know when you are facing some variance when the mathematical probabilities of these hands swing heavily towards or against you in favor. Variance is one of the characteristics that makes a big difference in the short term results between one game and another. Lets compare two popular machines. Below you have the pay tables for both full pay Jacks or Better (9/6) and a popular variety of Double Double Bonus (40/10/6).

Poker Variance Meaning

Live poker has variance just like any other form of poker.
The thing about live poker variance is that it’s much slower
and prolonged than what you’ll normally encounter in online
play. With online poker, a player can swing up or down 5-10 buy
ins in a single day. These types of swings are very uncommon in
live poker due to the much slower pace of the game. Depending on
the type of game that you play, your skill level, your style of
play, and what limit you play, your live poker variance can mean
small swings on a monthly basis or huge swings on a weekly
basis.

Live poker players tend to worry much more about their swings
than they really should, and this is a product of the environment.
When you are playing poker online, you don’t really have
the money in your hands. You don’t feel the losses as much
because everything is virtual. In live poker, however, a buy in
lost means you need to reach into your pocket for another $200,
$500 or $1,000+. These types of losses are very real and
will affect almost any player.

Variance at $1/$2 NLHE Games

In NLHE games you are always going to run into more variance
than what you’ll find in limit games, and for very obvious
reasons.

The lowest stakes No Limit games will have the lowest
long term swings due to:

  • The overall skill levels of players
  • Weak or new to the live poker scene
  • Non serious players just playing for fun

Don’t expect to run into a whole lot of deep thinking players in these
games. As a result of all of this, you should not have many big
down swings.

Normal Swing Range for $1/$2 NLHE

Most $1/$2 NLHE players will have normal swings in the range
of 1-3 buy ins. Though 5 buy in swings are definitely going to
happen from time to time, they aren’t all that common. It’s
unlikely that you’ll frequently lose more than this if you are
a sound winning player. If you are going on bigger swings than
this at $1/$2, you may want to re-think your live poker strategy
altogether. In the end, it gets no easier than this limit when
it comes to live poker.

Variance at $2/$5 and $5/$10 NLHE Games

These two limits were lumped together, though they most
definitely could be separated. The reality is that a very small
percentage of the live poker population makes $5/$10 their
regular game for a number of reasons.

  • There aren’t many casinos with a $5/$10 or higher No Limit Texas Hold’em
  • Casinos are loaded with $1/$2 tables and the sparse $2/$5 table
  • Only a couple casinos in these locations will have $5/$10 running at most times of the day

If you play in Atlantic City, Las Vegas, California, or Florida,
you’ll find some exceptions to this rule.

Normal Swing Range for $2/$5 & $5/$10 NLHE

Poker Variance Meaning

In these games, swings of 1-5 buy ins are the norm. The live
poker variance will always increase as you play higher limit games
and games with tougher levels of opponents. Variance is going to
be diminished from the perspective of buy ins when you are
playing in deeper games. For example, a $1000 max game at $2/$5
will have less buy in variance than a $500 max $2/$5 game. This
is because many players will buy in short and for under the max
which will make it more unlikely that you will be in 2k+ pots.

Dealing with Live Poker Variance

Poker Tournament Variance

One of the biggest adjustments and learning curves for new
live poker players is being able to adapt to the constant swings
of real money. You’ll likely be thinking about just how long
it is going to take for you to recoup those losses. Because live
poker is slow, you’ll be left with even more time to bemoan
your losses and to contemplate how just one faded flush card
would have turned your night around. In live poker it’s even
more important that you are able to let the losses roll off your
back.

A lot of players will stress out over their losses when
playing live because everything feels so real. Some of the common
reactions to negative variance include frustrated play,
angry/aggressive play, or simply running to casino games to try
and get even. Looking at things in a one session vacuum at a
time is very easy to do in live poker, but it needs to be
avoided.

Variance Meaning In Accounting

Top Tip

Poker Variance Calculator

The more that you realize that swings are going to
happen and that they are very normal, the more likely that you
are to be unaffected by them. If you play online, make sure to check out
our article covering online poker variance.