Blackjack expert Stanford Wong, author of Professional Blackjack, explains why overbetting your bankroll at blackjack will cause you to lose all of your money.

Blackjack Therapy by Clarke Cant

Editor note:Yes, this section is actually after Chapter 6

1. There is a 50-time rollover on the cash deposit in the cash casino games required. Both rollovers must be completed before any payout can be done. Bonuses will not include Blackjack, Roulette, Craps, Baccarat and Mobile Casino games. Any action on Baccarat, Roulette and Craps will not count towards the rollover.
2. In this system, at least 600 minimum bets are required with the spread of 1 to 12. These are the bottommost requirement in bankroll size for professional players, but if you are an amateur counter with a regular day time job, then the requirement could be to.
3. How Big Should My Bankroll Be?? The size of your bankroll will determine the table limits at which you are able to successfully play. Here is a general rule: always buy-in with at least 50 times the minimum bet. In other words, to play at a $5 minimum bet table you need to buy-in with $250. At a $10 table you need $500, and so on.
4. The subject of bankroll requirements and risk of ruin for sessions, trips and for your lifetime is covered in great detail in Don Schlesinger's book, Blackjack Attack, 3rd Edition. It is essential reading for any serious player.

Chapter 4A, the rest of Chapter 4.

Lets return to this equation (Xsd/G)^2=HD.

The results are that for a given number of standard deviation units we have a number of hands where we pull ahead and stay ahead, at that level of fluctuation. By staying ahead we reach infinite growth (in the ultimate long run, pit boss tolerance willing). All of the Classic Optimal bankroll examples of even money payoff games show an 88% chance of such success, and 12% chance of failure, when a fixed betting strategy is used. By approaching the same results with fixed betting I will show the same outcomes with a blackjack bankroll, as a test of that bankroll being equally optimized for growth in the same long term.

The level of breakeven success that corresponds to 12% ruin is 1.2 sd units. By itself then (1.2sd/G)^2 only shows the number of hands where such breakthrough is achieved in the long term future history of our bankroll, or our playing.

We can explain both barrier ruin and optimal bankroll requirements for this long term growth by examining all the outcome pathways that would/do take an infinite number of hands to either reach double or nothing outcomes, by looking at those paths every HD hands. With the smallest amount of upward drift from that set of paths, which we are looking at as a flat string of HD number of hand sections, we reach, “infinity and beyond,” in our results. With the smallest amount of downward drift we wipeout. That pathway is the dividing line between ALL the infinite possible paths that wipeout and ALL the infinite possible paths that achieve success (the initial HD length of hands is finite; infinity divided by any finite number is still infinity).

Bankroll requirements are thus (1.2sd)^2/G for all the infinity of outcomes that survive the first HD number of hands without ruin. Thus I consider the optimal number of bankroll units we should divide our bankroll into to achieve optimal growth over infinity to be given by this equation, in that the outcomes of this type of fixed betting match the outcomes of fixed betting in more classic examples.

Within every HD hands win/loss order can be distributed in every way . Initial, or early losses only have the initial bankroll amount to offset your bankroll level from going toward ruin, while later fluctuations are offset both by your initial bankroll amount and the accumulated expected value of your hands.

Before HD hands are finished that total offset to possible fluctuations is less than it is for the optimal infinite growth of your bankroll. The average chance of ruin is thus about double what the long term chance of ruin is, in the first HD number of hands. The barrier ruin effect rapidly decreases thereafter.

In chapter 6 we covered techniques that either add camoflage without costing expected value, or that add tremendous expected value, but would make hash of any precisely optimized betting spread. It is far more important to optimize the application of a less than optimal betting scheme than it is to depend on a scheme that is compromised by such tactics.

Once a well known poster on Blackbelt in Blackjack). The point I tried to make then and make here is yes. Yes the ability of such a player to determine what his optimal unit size should be should not depend on whether or not he uses a precisely optimal spread.

The best methods for finding the optimal spreads are those written by Brett Harris and archived on bjmath.com I contend that my formula from 1982 –which has other labels now – gives bankroll requirements for any positive expectation spread. It does not give an optimal spread however.

But just like Brett Harris I consider hands to offset to be a better way to rate games than advantage, DI or SCORE. HD, other than being based on offsetting 1.2 sd units, rather than just 1, is the same as his H0. Since HD here also gives the hands to double a bankroll it would take on average I think it has intuitive merits as well.

Hello everyone! I'd like to have your suggestions regarding how much I should start with for online blackjack, I am using betonline.ag
The minimum betting table is 10$.
So, how much do you guys I should deposit to be 'safe'?
Thank you!

Deposit what you can afford throw away for a few hours amusement. ten or twenty times your stake should last you a few hours.
BUT, but, but, be very wary of bonuses and lock in conditions. The wagering requirements at the casino you linked to would pretty much make it impossible to ever withdraw a cent, even if you had a long winning session.

There is a 50-time rollover on the deposit and bonus in the bonus funds casino games required. Even if bonus is lost rollover must be completed before any payout can be made or payout will be reduced by the bonus amount.
There is a 50-time rollover on the cash deposit in the cash casino games required. Both rollovers must be completed before any payout can be done.
Bonuses will not include Blackjack, Roulette, Craps, Baccarat and Mobile Casino games.
Any action on Baccarat, Roulette and Craps will not count towards the rollover.
Rollover requirements must be met before future, additional bonuses can be granted.

I'm not sure to understand that, this is for betonline.ag?
I know people that cashed out their money without any issues by playing blackjack?

Yes!!!!! That was from the casino that you linked to!
With every mention of bonuses there is a link to terms and conditions. If you read the terms and conditions and understand them, you will realise what an incredible obstacle they are to ever withdrawing money. They generally give you free play at a huge price. Many online casinos have similar wagering requirements.
But Hey. You know people that cashed out their money, so you go ahead. I too got my money and winnings out of my online casino! Maybe they read and figured a way around the terms and conditions and maybe they rejected the bonuses, or maybe they had no bonuses active at the time of their withdrawal.
Caveat Emptor.

Alright, thank you for your answers! You guys can recommend me another good blackjack online site too haha, but yeah I still want more opinions on my bankroll question :).
And I don't touch the free play money, by the way. It's not useful for blackjack

It depends where you are in the world. Most online casinos which I use do not permit American members, but they do give fair games and no withdrawal fees. From what I read here, some casinos that offer service to US citizens, demand fees for taking or returning funds.
You might try the Wizard's practice blackjack to see how long a $300 bankroll would last if you stake say $10 per hand. I reckon you'd get several hours of fun and experience.
http://wizardofvegas.com/games/blackjack/
So much depends on your entertainment budget. It will leave your pocket and will probably never return, so you just have to figure how best to enjoy it and spin it out.Recommendation sent by Private Message

Do you guys think 100$-150$ is enough bankroll to start up at a 10$ table?

Why do you effectively repeat your original question, when it's been answered?
Short answer. $150's enough bankroll to have up to about an hour or two of fun. But that's all.

Blackjack Bankroll Requirements

Answered thoroughly here
http://wizardofvegas.com/forum/gambling/blackjack/22984-how-long-and-how-much/#post478022

Poker Bankroll Requirements

Do you guys think 100$-150$ is enough bankroll to start up at a 10$ table?

Blackjack Bankroll Management Calculator

Not only that... you keep saying 'bankroll' like you have a plan of attack? Are you trying to count said games? I wouldn't recommend it because either they shuffle every hand electronically or they give HORRIBLE 50% penetration, which makes the games essentially unplayable.
Are you just a basic strategy player? Do you always flat bet, or do you raise your bet? We'd need to know all of that information to give you more exact answers. If you want to play $10 and play for a few hours, $100-$200 (as previously stated) would do fine. This would be a 'session bankroll.' If you want a bankroll to play longer, then I wouldn't recommend doing that unless you're counting and somehow you've found the one site alive that actually gives playable penetration (which I doubt you have).
Long and the short of it is playing online is a literal 'just for fun' and you shouldn't expect to make any money from it. Let alone when you get in to the bonuses and how they 'hold your funds hostage' essentially until you've put enough action through to cash out (in which 99% of people are bust by then).