Hi guys, new poster, theoretical question

Hey guys, ive been a lurker for awhile, this is my first post.

My question is regarding variance. Lets say for instance a solid STT player who is not familiar with bankroll management deposits 200 into an online poker site and decides that is plenty of money to play $20 stts. He starts off on an absolute heater and wins enough to build a proper bankroll for playing 20 stts. Can this player expect to continue to profit even after variance hits or will variance hit him so hard that he will no longer have the required roll for 20 stts, teaching him a valuable lesson?

Thanks for the replies guys. I am still getting used to putting my thoughts into words (very difficult for me) so excuse any flaws in my post. Thanks!

[tipperdog]

The latter. The lady named variance doesn't know what's happened to you in the past...it just seems that way.

[bluefeet]

Hi Wondercall, welcome.

Varience doesn't compensate, nor does it have a memory. It just is.

Either of your scenarios are possible. Regardless of how he now came to be properly rolled.

(and if this is you...maybe you're just g00t! good luck)

[lacky]

well if you, er "he", feels like "he" has a solid grasp, and the money isn't real important to "he" then play $22's. If any of the above doesnt apply to your, er "his" situation, drop down to $11's to learn at.

[johnnybeef]

[ QUOTE ]
well if you, er "he", feels like "he" has a solid grasp, and the money isn't real important to "he" then play $22's. If any of the above doesnt apply to your, er "his" situation, drop down to $11's to learn at.

[/ QUOTE ]

what the hell are you implying here steve?

[Irieguy]

Your question gets to the heart of a common gambling/statistical misconception invovling an apparent paradox between two concepts:

1. Independent Trials: "The cards have no memory." The historical results of a random event have no bearing on the results of the event the next time it occurs. It doesn't matter how hot or cold you have been running for X hands. For the next X hands you rate to win at your win rate +/- your standard deviation

2. Regression to the mean: "Everything evens out in the end." Regression to the mean is real, but it isn't a phenomenon... it's just what happens because of how "mean" is defined. The more trials you have, the closer your actual mean result will come to your expected mean result. But if your actual results are skewed, you don't suddenly become more likely to have results that weight your average in the opposite direction.

These two concepts should be easy to understand, but I have seen several 2+2ers employ the casino-betting strategy of waiting until the roulette wheel has come up red 5 times in a row and then betting their whole bankroll on black.

Variance isn't an entity. It has no power, no volition, and no meaning. It is just concept. A concept so hard to grasp that we give it ultimate power, malignant volition, and supreme meaning in our little pea brains.

Irieguy

[Freudian]

You are ignoring the most important factor here. Is our guy a winning player at the $22s or not. If he is not, and started off on a heater there is a pretty good chance he will lose his BR. If he is, then in the long run most likely the BR will grow.

[SlackerMcFly]

Welcome to the gang, Wonder.

To answer simply:

1. Any player regardless of skill can expect success due to variance.

2. Any player can expect variance of the negative kind.

3. Negative variance lasts longer.

4. Positive variance is the nutz.

If you play to variance, you will always lose money. If you ignore variance and play correctly, there is no reason to either fear or rely on "luck" that is variance.

BTW, it doesn't matter what buy-in level we discuss, it's all the same when it comes to the Big V....

Good luck at the tables. Please post responsibly.

Slacka

Thank you so much for your responses. This clears up quite a bit for me.

[benfranklin]

[ QUOTE ]

The more trials you have, the closer your actual mean result will come to your expected mean result. But if your actual results are skewed, you don't suddenly become more likely to have results that weight your average in the opposite direction.


[/ QUOTE ]

Assume a noob plays an undefined game where his skills should result in an average score of 50. He plays some number of games, and due to beginners luck his actual mean result is 75. His actual results are skewed from expected, but as you say, he is not likely to have a sudden string of scores with a mean of 25 that take his average to the expected mean. Rather, it is likely that he will have a long string of results with a mean score of 50. The long string with a mean of 50 will soon dwarf the short initial string of mean 75, making it insignificant.

The original post assumes that the player is playing over his head, since it states that he achieves a proper bankroll for that limit by being on a heater. If he is on a heater, he is by definition in a nonsustainable position.

The OP has greatly confused the issue. He asks what happens when variance hits. If the player is on a heater, variance has already hit, and the player is in the ozone of higher positive variance. The question is what happens when reality hits. Variance is deviation from the norm or the expected. If the player is on a heater, the real averages will bring him back to earth.



[ QUOTE ]

Variance isn't an entity. It has no power, no volition, and no meaning. It is just concept. A concept so hard to grasp that we give it ultimate power, malignant volition, and supreme meaning in our little pea brains.

[/ QUOTE ]

Variance is history, and it is the unpredictable future. It is statistical noise. Variance is what you see in the rear-view mirror on the road trip of life, and what screws up your perfect plans.

If you rent a U-Haul truck for your next move, it is probably capable of averaging about 55 MPH. If you get it going down hill with a tail wind on the open road, it might reach 70 MPH. If you are stuck in traffic in the city, you might do 30 MPH. Doing 70 or doing 30 are variance due to circumstances. Doing 55 is all you can and should expect.